A) A = (45,000) e-0.02t

B) A= 45,000 + e-0.02t

C) A = (45,000) e0.02t

D) A = 45,000 + e

0.02t

I uploaded the answer to a file hosting. Here's link:

bit.[tex]^{}[/tex]ly/3a8Nt8n

Factors 3x^4-5x^3+6x^2-15x completely over the set of integers

The** Factors **of 3x^4-5x^3+6x^2-15x completely over the set of **integers **will give 5(1-3x).

In mathematics, **factorization** or factoring consists of writing a number or another mathematical object as a product of several factors, usually smaller

The **expression** can be broken down after the other as

[2x4 = 8] + [5x3=15] + [6x2=12]

= [8-15+12-15x]

=5-15x

then we can factorize as

5(1-3x)

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Use the figure to complete each sentence. The base of this rectangle is cm. The height of this rectangle is cm. The area of this rectangle is cm2.

**Answer:**

**Step-by-step explanation:**

**Answer:**

24 cm²

**Step-by-step explanation:**

Solution Given:

The base of this rectangle is **4 cm**. The height of this rectangle is **6 cm**

height =6 cm

base = 4cm

Since

Area of Rectangle= base*height

=6*4

=24 cm²

Therefore, the area of this rectangle is **24 cm².**

The diagram shows the lengths of corresponding sides of similar triangles A'B'C' and ABC. Which expression gives the perimeter of A'B'C'?

The **expression** that gives the **perimeter** of the A'B'C is 2 (a + b + c).

Option B is the correct answer.

What is a triangle?It is a two-dimensional figure which has three **sides** and the **sum** of the three **angles** is equal to 180 degrees.

We have,

The **side** **length** of triangle A'B'C' is **twice** the length of the **corresponding** **side** **length** of triangle ABC.

The **perimeter** of a triangle.

= **Sum** of all the three **sides**

Now,

The **perimeter** of the triangle ABC.

= a + b + c

Thus,

The **perimeter** of the triangle A'B'C'.

= 2 (a + b + c)

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which fraction is equivalent to -4/8

**Answer:**

-2/4

**Step-by-step explanation:**

The most simplified fraction of -4/8 is -1/2.

What tastes juicier?

Mixture A: 2 cups of concentrate and 3 cups of water

Mixture B: 6 cups of concentrate and 8 cups of water

Group of answer choices

Mixture B

Mixture A

They taste the same

**Answer:**

Mixture B

**Step-by-step explanation:**

A) the concentrate per cup is 2/3

B) the concentrate per cup is 6/8 = 3/4

The concentration of B is higher, so it will taste juicier.

1-9 Enrichment Worksheet

Geometry Crossword Puzzle

12

NAME

16

13

19

3

18

10

ACROSS

3. Points on the same line

are -

4. A point on a line and all

points of the line to one

side of it.

9. An angle whose measure

is greater than 90.

10. Two endpoints and all

points between them.

16. A flat figure with no

thickness that extends

indefinitely in all

directions.

1

17. Segments of equal length

segments.

are -

18. Two noncollinear rays

with a common endpoint.

19. If m ZA+ m ZB = 180,

then ZA and ZB are -

angles.

17

2

15

9

4

8

14

18

DATE

DOWN

1. The set of all points collinear to two points

is a.

Glencoe Division, Macmillan/McGraw-Hill

7

2. The point where the x- and y-axis meet.

5. An angle whose measure is less than 90.

6. If m ZA+ m ZD = 90, then ZA and ZB are

angles.

7. Lines that meet at a 90° angle are

8. Two angles with a common side but no

common interior points are

10. An "angle" formed by opposite rays is a

_________ angle.

11. The middle point of a line.segment.

12. Points that lie in the same plane are -

13. The four parts of a coordinate plane.

14. Two nonadjacent angles formed by two

intersecting lines are - angles.

15. In angle ABC, point B is the

**Answer:**

Look at the image I attached to this answer for the answers.

Final answer:**collinear**.A point on a line and all points on one side of it is called a **ray**.An angle whose measure is greater than 90 degrees is **obtuse**.A line segment with two endpoints and all points between them is **a line**.A flat figure with no thickness that extends indefinitely in all directions is called a **plane**.Segments of equal length are called **congruent** segments.Two noncollinear rays with a common endpoint form an **angle**.If the sum of two angles is 180 degrees, then they are **supplementary** angles.**line**.The point where the x- and y-axis meet is called the **origin**.An angle whose measure is less than 90 degrees is **acute**.If the sum of two angles is 90 degrees, then they are **complementary** angles.Lines that meet at a 90° angle are **perpendicular** lines.Two angles with a common side but no common interior points are called **adjacent** angles.An angle formed by opposite rays is a **straight** angle.The middle point of a line segment is called the **midpoint**.Points that lie in the same plane are **coplanar**.The four parts of a coordinate plane are **quadrants**.Two nonadjacent angles formed by two intersecting lines are **vertical** angles.In angle ABC, point B is the **vertex**.Learn more about Geometry here:

This is a crossword puzzle on geometry terms and concepts, including lines, angles, and planes.

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it takes Carly 39 minutes to walk 3 miles at that rate how long will it take Carly to walk 7 miles

The **time **it takes Carly to walk 7 **miles **is 91 minutes

From the question, we have the following parameters that can be used in our computation:

Time = 39 **minutes**

Distance = 3 miles

The **speed **can be calculated as

Speed = Distance/Time

Substitute the known values in the above equation, so, we have the following representation

Speed = 3 miles/39 minutes

So, we have

Speed = 1/13 **miles per minute**

From the question, we have

Distance = 7 miles

Recall that

Speed = Distance/Time

Make **time **the subject

Time = Distance/Speed

So, we have

Time = 7/(1/13)

Evaluate

Time = 91 minutes

Hence, the time is 91 minutes

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The sum of two consecutive mile markers on the interstate is 365. Find the numbers on the markers.

**Answer:**

**x is the first mile marker**

**then, x+%2B+1 the second mile marker**

**given:**

**x%2Bx+%2B+1=655**

**2x+=655-1**

**2x+=654**

**x+=654%2F2**

**x+=327->the first mile marker**

**and**

**x+%2B+1=328 the second mile marker**

Joseph is 3 times as old as his son now, if 10 years ago the sum of their ages was 44 ,how old was Joseph when his son was born ?

**Answer:**

**Step-by-step explanation:**

j = 3s

(j-10 + s-10) =44

3s-20 + s =44

4s = 64

s = 16

j=3*16

j=48

currently Joseph is 48, the son is 16, so

16 years ago, when the son was born, Joseph was 32

**Answer:**

Joseph was 34 years old when his son was born.

Solve the equation for x.

−0.28x − 8.4 = 8.26

x = 59.5

x = −59.5

x = 50.5

x = −50.5

The value of x after **solving** −0.28x − 8.4 = 8.26 is** x = −59.5 **.

**What is linear equation in one variable ?**

The linear equations in one variable is an equation which is **expressed** in the form of **ax+b = 0**, where a and b are two **integers**, and x is a variable and has only one solution. For example, 2x+3=8 is a linear equation having a single **variable** in it.

To solve linear equation in one variable:

Step 1: Simplify each side, if needed.

Step 2: Use Add./Sub. Properties to move the variable term to one side and all other terms to the other side.

Step 3: Use Mult./Div. Properties to remove any values that are in front of the variable.

Given :

-0.28x - 8.4 = 8.26

Adding 8.4 both the sides , we get

-0.28x + (-8.4 + 8.4) = 8.26 + 8.4

-0.28x = 16.66

x = - (16.66/0.28)

**x = -59.5**

Hence , the value of x after **solving** −0.28x − 8.4 = 8.26 is** x = −59.5 **.

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Two parallel lines are cut by transverse as shown suppose

This might be the answer because you didn’t include a picture of your problem

A family of bears is going to a movie. The following data points represent the ticket and candy price (in dollars) for each bear. Sort the data from least to greatest. Find the interquartile range (IQR) of the data set.

The **interquartile range **(IQR) is a measure of dispersion, which is a measure of how spread out a data set is. The IQR is calculated by subtracting the** first quartile** (Q1) from the **third quartile **(Q3).

**Q1** = ( n +1 ) / 4th observation

= ( 9 + 1) / 4

= 2.5 th obseravation

That is the average of **2nd **and **3rd **observations.

Q1 = 2

**Q3 **= 3 ( n + 1) / 4 th observation

= 3 ( 9 + 1) / 4

= 7.5 th observation

That is the average of the **7th **and **8th **observation

**Q3 = 5.5**

**Interquartile range** = Q3 - Q1 = 5.5 - 2 = **3.5 **

In this data set, the first quartile is the average of the second and third observations (2), and the third quartile is the average of the seventh and **eighth **observations (5.5). Subtracting the **first quartile **from the third quartile gives us an **IQR **of 3.5. This means that the values in the data set are spread out over a range of **3.5 dollars**.

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Marta conducts emissions inspections on cars. She finds that 8 % 8%8, percent of the cars fail the inspection. Let X XX be the number of cars Marta inspects until a car fails an inspection. Assume that the results of each inspection are independent. Find the mean and standard deviation of X XX. Round your answers to one decimal place.

There are **X automobiles,** with a** mean** of 12.5 cars. The** standard deviation** for X is also SD = 12.0.

First, a** data set's mean** and standard deviation convey distinct information. The average (center) of a data collection is provided by mean (it is a measure of** central tendency**). You may learn about the range (dispersion) of data around the mean by looking at the standard deviation. We may **investigate **a data set's characteristics and characterize it using both the mean and standard deviation. To provide confidence intervals for data that has a** normal distribution**, they are frequently combined. If two or more data sets need to be compared:

The mean reveals whether **data **set is, on average, greater or lower (or better or worse). We can determine whether data set has a wider dispersion using the **standard deviation **(higher standard deviation means data is more spread out from the mean). Second, there are variations in how each **metric** is calculated. In particular, we utilize squaring to get the **standard deviation **but not the mean. We completely avoid using squaring when determining the mean of a data collection. Simply **multiplying **the total number of data points in the set by the sum of all the values in the data set yields **the answer.**

The mean is calculated as follows:

**Mean = (all data values added together) / (number of data values)**

However, when calculating standard deviation, we do employ squaring. We take the square of the deviation between each data point and the mean in particular.

The** standard deviation** equation is as follows:

Finally, when we add the** identical value** to each data point in the data set, the mean and standard deviation "respond" differently. If we multiply every value in a **data collection** by the constant "K":

No of the size of the data collection, the mean rises by precisely K.

No matter how many **observations** are in the data collection, the standard deviation does not vary. The **identical value **is then added.

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(x+1)=(7x-5) how do i solve this

**Step-by-step explanation:**

You start with x+1=7x-5

Basically you want all the x's on one side and all the constants on the other

(x+1)+5=(7x-5)+5, to get rid of the 5 on the right side

(x+6)-x=7x-x, to get rid of the x on the left side

We are now left with 6x=6

No we simplify, 6x/6=6/6

Now we have x=1, which is the answer

I hope this made sense.

**x= 1.**

[tex](x+1)=(7x-5)\\ \\x+1=7x-5[/tex]

2. Subtract "1" from both sides of the equation.[tex]x+1-1=7x-5-1\\ \\x=7x-6[/tex]

3. Subtract "7x" from both sides of the equation.[tex]x-7x=7x-6-7x\\ \\-6x=-6[/tex]

4. Divide both sides by "-6".[tex]\frac{-6x}{-6} =\frac{-6}{-6} \\ \\x=1[/tex]

5. Verify.[tex](1)+1=7(1)-5\\ \\2=7-5\\ \\2=2[/tex]

That's correct!

6. Conclude.x= 1.

A train traveled 300 miles. How long did the trip take if the train was traveling at a rate of: Note * Use the d=rt formula (distance = rate * time). NOTE: You may not be able to solve for the variable. If you do not have enough information to solve for the variable then write the equation. 1) 50 mph 2) 70 mph 3) x mph 4) (x+10)mph 5) (x-5)mph

If a **train **traveled 300 miles. The **time **is, 6 hours, 4.29 hours, 300/x hours, 300/(x+10) hours,300/(x+5) hours.

**Distance** = Rate × Time

**Time **=Distance/Rate

1. 50 mph

Time = 300/50

**Time** = 6 hours

2. 70 mph

Time = 300/70

Time = 4.29 hours

3. x mph

Time = 300/x

Time = 300/x hours

4. (x+10)mph

300/(x+10) hours

5. (x-5)mph

300/(x-5) hours

Therefore the **time **is, 6 hours, 4.29 hours, 300/x hours, 300/(x+10) hours,300/(x+5) hours.

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A person starts walking from home and walks:

2 miles East

3 miles Southeast

6 miles South

7 miles Southwest

3 miles East

This person has walked a total of

miles

Find the total displacement vector for this walk:

If this person walked straight home, they'd have to walk

miles

This person has walked a total of 21 miles and the total displacement vector for this walk is 13.153 in northeast direction by the concept of **distance **and displacement.

Unaffected by direction, distance describes an object's entire movement. Displacement, in contrast, refers to a shift in an object's position. Because of this, the primary distinction between distance and displacement is that one is a scalar and the other is a **vector**.

According to question let us determine the total distance 2 miles+3 miles+6 miles+7 miles+3 miles =21 miles

So, this person has walked a total of 21 miles

Now let us find displacement vector as follows:

Divide into parts: Each leg on the Southeast and Southwest diagonals is the hypotenuse, therefore multiply by (2) /2.

x-axis is given as 2+3*(√ (2) /2) +0 -7(√ (2) /2) +3 =1.464

Similarly, y-axis is given as 0- 3(√ (2) /2)- 6- 7(√ (2) /2) +0=-13.071

The coordinates of the given ques are as follows: <1.464, -13.071>

By **Pythagoras theorem**, the hypotenuse of the given coordinates is 13.153 in northeast which is our required displacement.

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tia equally shares 8 cookies among herself and 4 friends which fraction shows how many cookies each person gets?

answers:

8/4

8/5

5/8

4/8

**Answer: The answer is 8/5**

**Answer: **

Each person gets 8/5 part of cookie

Chau sells beaded necklaces.Each large necklace sells for $6.30 and each small necklace sells for $4.80.How much will he earn from selling 4 large necklaces and 5 small necklaces?

4 times 6.30 is 25.20 and 5 times 4.80 is 24 so 49.20 is the answer

Michael pays $34.65 for eleven 18-count boxes of granola bars. How much does 1 box of granola bars cost?

One box of granola bars costs $

**Answer:−cnotu+53.65**

**Step-by-step explanation: I don't really know how I got it. But it was quite easy.**

write the equation in slope intercept form and graph using a table

X = 5

**Answer:**

y=5x+0

**Step-by-step explanation:**

wouldn't the equation be something like y=5x+0? If x=5 then x would be the slope. So then if the slope is 5 you'd start off your equation y=5x but there might not be a y-int for this equation because the equation only has an x and there is no y.

(Not sure if you understand it, but if it were to me I'd do something like this because there is only one number in the equation, hope this helps in some way....)

a coin is flipped, and a number cube is rolled. what is the probability of getting heads on the coin and a number less than 3 on the number cube

The** required probability** for the given **case **is obtained as 1/6.

**Probability **is the **measurement **of the **chance **for a random event.

It is the ratio of the **favorable outcome** to the total **possible** outcome.

It always lies in the **interval **[0, 1].

The **sample space** for the given case can be written as follow,

The total number of sample space **elements **are,

Possible outcomes for coin × Possible outcomes for cube

= 2 × 6 = 12

Now, the number of favorable outcomes for the given **event **is as below,

Number of head × Number of numbers less than 3

= 1 × 2 = 2

Now, the probability is given as,

P(Head on **coin **and less than 3 on **cube**) = 2/12 = 1/6

Hence, the **probability **of getting **heads **on the coin and a **number less **than 3 on the number cube is given as 1/6.

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Find the y-intercept from the line of best fit y = 6 + 2x.

**Answer:**

y - intercept = 6

**Step-by-step explanation:**

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 6 + 2x , that is

y = 2x + 6 ← is in slope- intercept form

with y- intercept c = 6

help pls i don’t know the last two!

Drag each label to the correct location on the image.

Identify which equations have one solution, infinitely many solutions, or no solution.

3u+40+2u6u- 30-u

2.3y +3.2-y= 2.1 + 1.3y + 1.1

No Solution

One Solution

2.2z+ 3z = 4.5-3.2

x+²+x= x

²x + ² + x = ² x 20 +4r = 32 - 2r

²/²

Infinitely Many Solutions

**No solution**: 1/2y + 3.2 = 20, 15/2 + 2z -1/4 = 4z + 29/4 - 2z, 1.1 + 3/2x + 2 = 3.1 + 3/4x, and 4.5r = 3.2 + 4.5r. **One solution**: 2x + 4 = 3x + 1/2

**What is the linear system?**

A** linear system** is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

If the value of the **variable** is zero, then the no solution.

If the value of the variable is one, then the one solution.

If the value of the variable is infinity, then the **infinite many solutions**.

No solution: 1/2y + 3.2 = 20, 15/2 + 2z -1/4 = 4z + 29/4 - 2z, 1.1 + 3/2x + 2 = 3.1 + 3/4x, and 4.5r = 3.2 + 4.5r.

One solution: 2x + 4 = 3x + 1/2

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26

Select the correct answer.

The height (cm) of an object oscillating up and down at the end of a spring is s(t) = 100 + cos t. Find the eceleration at time t.

O A.

100-cos t

OB.

-sin t

O C.

-cos t

O D. 100-sin t

Reset

Next

-sint is the **acceleration **at time t.

Acceleration is the rate of change of the **velocity **of an object with respect to time.

Given, the height (cm) of an object **oscillating** up and down at the end of a **spring **is s(t) = 100 + cos t.

We need to find the **acceleration** at time t.

s(t) = 100 + cos t.

To find the acceleration we have to **differentiate** the above equation.

d/dt=d/dt(100+cost)

=d/dt(100)+d/dt(cost)

=0+(-sint)

s'(t) = -sint.

Hence, the **acceleration **at time t is -sint.

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b) If the marginal revenue function for output x is given by MR = C, where a, b, c, m and n are constant. mn (ax+b)² Prove that the demand function is p mn b(ax+b) C.

The **demand function** is given by the expression -

D{x} = mn(a²x + 2b + b²)

What is a mathematical function, equation and expression?Given is the **revenue function** as follows -

f(x) = mn (ax + b)²

The revenue function is simply **[x]** multiplied by the demand function.

R{x} = x (D{x})

The revenue function is -

f(x) = mn (ax + b)²

So, the demand function can be written as -

mn(ax + b)² = x (D{x})

D{x} = {mn(ax + b)²}/x

D{x} = {mn(a²x² + b² + 2abx)}/x

D{x} = {a²x²mn + mnb² + 2bmnx}/x

D{x} = a²xmn + 2bmn + mnb²

**D{x} = mn(a²x + 2b + b²)**

Therefore, the **demand function** is given by the expression -

D{x} = mn(a²x + 2b + b²).

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Caleb is a fashion designer. He designed a jacket with 2 types of fabric. Now Caleb has to make samples. He buys 68 yards of nylon and 94 yards of wool. The nylon is $3 a yard, and a yard of wool is 3 times more expensive. How much did Caleb spend?

To find out how much the wool costs, we need to multiply the price of a yard of nylon by 3, since the wool is 3 times more expensive. So a yard of wool costs $3 * 3 = $<<3*3=9>>9.

To find out how many yards of wool Caleb bought, we need to divide the total number of yards by the number of fabrics, since he bought the same amount of each fabric. So Caleb bought 68 / 2 = <<68/2=34>>34 yards of wool.

To find out how much Caleb spent on wool, we need to multiply the number of yards of wool by the price of a yard of wool. So Caleb spent 34 * $9 = $<<34*9=306>>306 on wool.

To find out how much Caleb spent on nylon, we need to multiply the number of yards of nylon by the price of a yard of nylon. So Caleb spent 68 * $3 = $<<68*3=204>>204 on nylon.

To find out how much Caleb spent in total, we need to add the amount he spent on wool and the amount he spent on nylon. So Caleb spent $306 + $204 = $<<306+204=510>>510 in total. Answer: \boxed{510}.

A food truck did a daily survey of customers to find their food preferences. The data is partially entered in the frequency table. Complete the table to analyze the data and answer the questions:

Likes hamburgers Does not like hamburgers Total

Likes burritos 29 41

Does not like burritos 54 135

Total 110 205

Part A: What percentage of the survey respondents liked neither hamburgers nor burritos? Show all work. (3 points)

Part B: What is the marginal relative frequency of all customers who like hamburgers? Show all work. (3 points)

Part C: Which category has the lowest joint relative frequency? Show all work. (4 points)

A: 16.09 % of the survey respondents** **liked **neither** **hamburgers **nor **burritos**

B) 0.65 is the **marginal relative frequency**.

C) The **lowest joint **relative frequency of those who like **Hamburgers **but **not burritos**.

The **ratio **of a **row** total's or **column **total's frequency to the overall frequency of the **data **is known as marginal relative frequency. It is frequently used to examine broad trends in a single type of data.

Given:

Like Hamburgers Does Not Like Hamburgers Total

Likes burritos 39 38 77

Does not like burritos 95 33 128

Total 134 71 205

A) There are 33 such **respondents**.

So, **percentage **is

= 33/205 x 100

= 16.095

B) It will be the ratio of the **sum **of the **customers **that like hamburgers to the **total** number of **respondents**

So, the **ratio **is

= 134/205

= 0.65 :1

Part C: For this, we need to find the ratio of all the four data with the total.

Those who like **Hamburgers **and **burritos **

= 39/134

Those who like Hamburgers but **not burritos**

= 95/134

Those who like burritos but **not Hamburgers **

=38/71

Those who do **not **like **burritos** or **Hamburgers **= 33/71

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What are the coordinates of the point on the directed line segment from (-10, 2) to

(-3, -5) that partitions the segment into a ratio of 4 to 3?

**Answer:**

(-6, -2)

**Step-by-step explanation:**

For points **A(-10, 2)** and **B(-3, -5)**, you want the **point P** that makes **AP/PB = 4/3**.

Using (x, y) for the coordinates of P, we have ...

AP/PB = 4/3

((x, y) -(-10, 2))/((-3, -5) -(x, y)) = 4/3

SolutionThis simplifies to ...

(x+10, y-2)/(-3-x, -5-y) = 4/3

Cross multiplying gives ...

3(x +10, y -2) = 4(-3 -x, -5 -y)

(3x+30, 3y-6) = (-12-4x, -20-4y)

Treating these equations separately, we have ...

3x +30 = -12 -4x ⇒ 7x = -42 ⇒ **x = -6**

3y -6 = -20 -4y ⇒ 7y = -14 ⇒ **y = -2**

**The point that partitions the segment is (-6, -2)**.

__

*Additional comment*

The point that partitions AB in the ratio m/n is ...

P = (mB +nA)/(m+n)

P = (4(-3, -5) +3(-10, 2))/(4+3) = (-12-30, -20+6)/7 = (-42, -14)/7 = (-6, -2)

Above, we started from the basic requirement, rather than using the formula that results from that requirement.

Write and equation of a circle that has a diameter that passes through the points (3,0) and (7,6)

The** equation **of a circle that has a **diameter** that passes through the points (3,0) and (7,6) is **x² + y² - 10*x - 6*y +21 =0**

Given that, the points (3,0) and (7,6)

(x1, y1) = (3,0) and (x2, y2) = (7,6)

We know that the formula for the equation of circle whose points of diameter are given is equal to :

(x - x1) * (x - x2) + (y - y1) * (y - y2)

So now,

(x - 3) * (x - 7) + (y - 0) * (y - 6) = x² + y² - 10*x - 6*y +21 =0

so the equation of a circle that has a diameter that passes through the points (3,0) and (7,6) is **x² + y² - 10*x - 6*y +21 =0**

To know more about circle follow the given link :

**https://brainly.in/question/2178053**

24 divided by 4•2 - 2

**Answer:**

the answer is 10

**Step-by-step explanation:**

The **value** of the **numerical expression **24 / (4 × 2 - 2) will be 4.

**Algebra **is the study of abstract symbols, while **logic** is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This **approach **is used to answer the problem **correctly **and completely.

The **expression** is given below.

⇒ 24 / (4 × 2 - 2)

**Simplify **the expression, then we have

⇒ 24 / (4 × 2 - 2)

⇒ 24 / (8 - 2)

⇒ 24 / 6

⇒ 4

The **value** of the **numerical expression **24 / (4 × 2 - 2) will be 4.

More about the **Algebra **link is given below.

https://brainly.com/question/953809

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