Explanation

From the statement, we know that the bacteria population doubles every x hours. We write the population as a function of x as:

[tex]P(x)=P_0\cdot2^x.[/tex]Where:

• P₀ = initial population,

,• x = time in hours.

If we consider P₀ = 1, we get the following formula:

[tex]P(x)=2^x.[/tex]Answer[tex]2^x[/tex]Please help me im getting stressed with solution

2.25+1.20+3.25=amount if time total

Write an equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of the given equation. (-8, -5); y= -3x + 5

**Step-by-step explanation:**

a parallel line must have the same slope (otherwise it cannot be parallel).

a slope-intercept form looks like

y = ax + b

"a" (the factor of x) is always the slope, "b" is the y-intercept (the y-value when x = 0).

so, we know from y = -3x + 5 that the slope of the new line is also -3.

to get b we use the coordinates of the given point :

-5 = -3×-8 + b = 24 + b

-29 = b

that means the line equation is

y = -3x - 29

Simplify: 18c - 49 + 1 -2c

**Answer:**

16c - 48

**Step-by-step explanation:**

combine like terms : 18c - 2c - 49 + 1

then you get 16c - 48

1616161bdvdvscscscsaxfayayacscacacaxwxwgwywgww

The average rainfall for Key West, Florida is 1.51 inches for February and 5.45 inches for September. On average, how many more inches of rainfall are expected in September than in February?

The inches that are **expected** more in September than in February is 3.94

**What is average and how to calculate it?**

**Average** is **ratio** of the **sum** of all elements of dataset and total number of elements in the dataset. To calculate first find the **sum** of all elements of the dataset and then **divide** it by total number of elements in the dataset

The **average** rainfall for key west is 1.52 inches in February and 5.45 inches in month of September

To find the more inches we **subtract** the two We get,

[tex]5.45-1.51=3.96[/tex] inches

Hence The inches that are **expected** **more** in September than in February is 3.94 inches

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a ladder 16 ft long rests against a vertical wall. let theta be the angle between the top of the ladder and the wall and let x be the distance from the bottom of the ladder to the wall. if the bottom of the ladder slides away from the wall, how fast (in ft/rad) does x change with respect to theta when

If the bottom of the ladder slides away from the wall, then x **changes **by 12cosθ with respect to theta and when θ = π/6, x changes by 6[tex]\sqrt{3}[/tex] inches with respect to θ.

Here, we are given that a ladder 16 ft long rests against a vertical wall and theta is the **angle** between the top of the ladder and the wall.

We know that,** sin** of an angle = opposite / hypotenuse

Thus, sinθ = x/16

⇒ x = 16 sinθ

The rate of change of x with respect to θ will be given by dx/dθ

dx/dθ = d/dθ (12sinθ)

= 12 d/dθ (sinθ)

= 12cosθ

Now, we need to find the value of dx/dθ when θ = π/6,

= 12 cosπ/6

= 12 ([tex]\sqrt{3}[/tex]/2)

= 6[tex]\sqrt{3}[/tex]

Thus, when θ = π/6, x **changes** by 6[tex]\sqrt{3}[/tex] inches with respect to θ.

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Your question was incomplete. Check for full content below-

A ladder 12 feet long rests against a vertical wall. Let θ be the angle between the top of the ladder and the wall, and let x be the distance from the bottom of the ladder to the wall. If the bottom of the ladder slides away from the wall, how fast does x change with respect to θ when θ = π/6?

The personal assets and liabilities of a plumber are listed below.

What is the total value of the plumber's liabilities?

$149,367

$167,925

$241,231

$273,881

The **total** value of the plumber's **liabilities **= $441,806

One of the four** fundamental **operations of mathematics is addition, which is typically denoted by the plus sign (+). The other three are subtraction, multiplication, and division. The entire amount or sum of the two whole numbers is obtained by adding them.

It is one of the fundamental mathematical operations we employ on a daily basis. We employ number **addition** in a variety of contexts. When we work with time or money, such as when adding up invoices and receipts, adding numbers is one of the most frequently used operations in daily life.

The total value of the plumber's liabilities :

is to simply add all the values and we will get

$441,806

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**Answer:**

Option B.) $167,925

**Step-by-step explanation:**

Liability is money you owe to another person or institution, including a credit card balance, mortgage and so on.

So the plumber's liabilities

= 149,367 + 6,283 + 12,275

= $167,925

The vertices of triangle SRQ have coordinates S (1, 1), R (3, 4), and Q (7, 0). If triangle SRQ is rotated about the origin 180°, what are the resulting coordinates of the point R?

**Answer:**

**Step-by-step explanation:**

its 3 4

R'** (-3,-4)** are the** resulting** coordinates of the purpose R.

A **rotation **may be a** transformation** in a plane that turns every point of a preimage through a specified angle and direction about a fixed point. The fixed point is named the** center** of rotation . The quantity of rotation is called the **angle **of rotation and it is measured in** degrees**. Use a protractor to live the specified angle **counterclockwise**.

Using the rule for a **180°** rotation to seek out the vertices of the rotated triangle.

T:** (x, y) **⇒** (-x, -y)**

Given points of triangle: S(1,1) , R (3, 4) and Q (7, 0).

Rotation 180° about the origin.

S (1, 1) → S' (-1,-1)

R (3,4) → R' (-3,-4)

Q (7,0) → Q' (-7,0)

Hence, the** coordinate** of the R is:** R' (-3,-4)**.

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PLEASE HELP BRO WILL GIVE BRAINLI

A student writes an incorrect step while checking if the sum of the measures of the two remote interior angles of triangle ABC below is equal to the measure of the exterior angle.

A triangle ABC is shown. The base of the triangle extends into a straight line. The angle formed between this straight line and the edge of the triangle is marked as p. The angle adjacent to p is marked as o, and the other two angles inside the triangle are marked as m and n.

Step 1: m∠m + m∠n + m∠o = 180 degrees (sum of angles of a triangle)

Step 2: m∠p + m∠o = 180 degrees (adjacent supplementary angles)

Step 3: Therefore, m∠m + m∠n + m∠o = m∠n + m∠p

Step 4: So, m∠m + m∠n = m∠p

In which step did the student first make a mistake and how can it be corrected? (4 points)

Step 2; it should be m∠o − m∠p = 90 degrees (complementary angles)

Step 1; it should be m∠m + m∠n + m∠o = 90 degrees (adjacent angles)

Step 1; it should be m∠m + m∠n + m∠o = 90 degrees (corresponding angles)

Step 3; it should be m∠m + m∠n + m∠o = m∠o + m∠p

**Answer:**

Step 3; it should be angle m + angle n + angle o = angle o + angle p

**Step-by-step explanation:**

yes, the sum of the inner angles of the triangle, m, n, o must be 180°.

yes, the sum of supplementary angles (which the pair of inner and outer angles always is) p and o must be 180°.

so, step 3 wants to show that the sum of the 3 inner angles is the same as the sum of the inner/outer angle pair. m + n + o = o + p = 180.

but instead of o the student suddenly wrote n in the right side of the equation. and that is wrong. n + p can't be 180°, as both are inner angles, and that would make the third inner angle 0°, which is not really possible.

so, once n is replaced by o on the right side of the equating in step 3, all is correct again.

and step 4 is correct anyway (it fixed the mistake in step 3 of the original proof by another mistake, coming to the right conclusion just by coincidence), now that step 3 is corrected.

can someone helpp me with this i will give brainlest :)

**Answer:**

**Step-by-step explanation:**

1slice=280 and 6 slices so 280x6 so 0x6=0 then 80x6=6+6x4=48x10=480

then 200x6= 6x2=12x100=1200

add all 0+480+1200=1680

sry i'm not used to showing work i usually do it all in my head

A horse that is ill needs medication. The medication costs the veterinarian $17.50 to buy. He marked up the medication 54.2% before selling it to the customer. Find the final selling price of the horse’s medication.

**Answer:**

$26.99

**Step-by-step explanation:**

17.50 original cost plus a 54.2% increase

First, divide percentage by 100 to get a decimal to divide by 54.2/100=0.542

Then multiply the new decimal by the original cost to find the amount marked up. 17.50 x 0.542= 9.485

Now add 9.485 to the original cost

17.50+9.485=26.985-> 26.99 rounded for the final answer

Please help me pleaseeeeeeeeeeeeeeeeeee!!!!!!!!!!!!!!!!!!!!!

**Answer: 3.32 * 10^4**

**Step-by-step explanation:**

**1) Set up the equation**

**4.00 * 10^4 - 6.8 * 10^3**

**2) Set the scientific notions the same**

You can do this by multiplying 10 or dividing 10 on a notion

4.00 * 10^4 - 0.68 * 10 ^4

**3) Factor the scientific notions out**

10^4(4.00 - 0.68)

**4) Subtract**

10^4(3.32)

**3.32 * 10^4**

Write the equation of the line that goes between the two points (6, -5) and (2, 3).

The **equation **of the **line **that passes through points (6, -5) and (2, 3) is y = -2x + 7.

The formula for **equation **of **line **is expressed as;

y = mx + b

Where m is slope and b is y-intercept.

Given the data in the question;

Point 1 ( 6, -5 )

x₁ = 6y₁ = -5Point 2 ( 2,3 )

x₂ = 2y₂ = 3First, we determine the slope of the line.

Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Slope m = ( 3 - (-5) ) / ( 2 - 6 )

Slope m = ( 3 + 5 ) / ( 2 - 6 )

Slope m = ( 8 ) / ( -4 )

Slope m = -2

Now that the value of slope is known, we determine the y-intercept 'b' by plugging the slope and one point into equation of line formula.

y = mx + b

-5 = (-2)(6) + b

-5 = -12 + b

b = -5 + 12

b = 7

Now that the values of slope m and y-intercept b is known, plug these into y = mx + b to determine the equation of the line.

y = mx + b

y = (-2)x + 7

y = -2x + 7

Therefore, the **equation** of the **line **is y = -2x + 7.

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

46°

34°

x°

**Answer:**

x = 100

**Step-by-step explanation:**

180 = 46 + 34 + x

180 = 80 + x

100 = x

What is the

Range??

Help me out plsss

**Answer:**

1 ≤ y ≤ 4

**Step-by-step explanation:**

Range is all possible y values

a point is written as (x, y)

The line starts at point (0, 1) and ends at (3, 4)

so the range of the y values is 1 to 4

Mark is looking at a blueprint of a skateboard that shows the ramp's length that is 11.4 inches. If the scale on the blueprint is 1 inch: 6 feet, find the actual length of the ramp.

(Someone answer Asap please.)

Applying the **scale factor **the **actual dimension **of the ramp in the blueprint Mark was looking at was found to be 0.158 inches

**Scale factor **represent the amount the image is increased or reduced in the map.

information from the question include

the scale on the blueprint is 1 inch: 6 feet

the ramp's length that is 11.4 inches

finding the **scale factor**

1 inch ⇒ 6feet = 72 inches

the scale factor is 1/72

finding the **actual** **dimension**

1 inch ⇒ 72 inches

? = 11.4 inches

cross multiplying gives

72 * ? = 1 * 11.4

? = 1/72 * 11.4

? = 0.158 inches

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7/12r + 3/4 < -5/24 + 5/6r = ? I need some help. again. please. I need to know what the answer is. I need to clear the fraction. and I'm HORRIBLE at math...

The answer is most likely to be r > 23/6

PLS HELP ME

The following table shows the distance from the bus stop as a function of time:

Time (in minutes) Distance (in meters)

(x) f(x)

0 45

3 40

6 35

9 30

12 25

Find and interpret the meaning of the x-intercept in this scenario. (4 points)

(45, 0); the distance away from the bus stop

(27, 0); the time it takes to reach the bus stop

(45, 0); the time it takes to reach the bus stop

(27, 0); the distance away from the bus stop

The **x-intercept** is **(27,0). **The **time** it takes to reach the bus stop

We first find the equation between **time** and **distance **as a linear function by finding the slope and y-intercept from the table values.

If we write the** Time** as x-values and **Distance** as y-values, we get the points,

(0,45), (3,40), (6,35), (9,30), (12,25)

We can find the slope from these points considering two points (0,45) and (3,40)

Slope = 45-40/0-3 = -5/3

The y-intercept of the** function **is the value of f(x) at x = 0.

Here, from the table, when x = 0, y = 45.

So y-intercept = 45

Then the equation of **distance** in terms of **time** is,

y = -(5/3)x+45

The **x-intercept **is the x-value when y = 0.

So when y = 0,

0 = -(5/3)x+45

⇒ (5/3)x=45

⇒ x = 45x 3/5

⇒ x = 27

Therefore, **x-intercept** = **(27,0)**.

It is the** time** (in minutes) when **distance **= 0 meters.

So **x-intercept** is the **time** it takes to reach the bus stop.

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**Answer:**

B) (27,0); the time it takes to reach the bus stop

What is the value of x in this figure?

x = 22

x = 68

x = 90

I don't know.

X=68 explaination: it’s a right angle, which is 90 degrees, so you subtract 90-22 which gives you the remaining 68 degrees

Please help me with this please please please

**Answer:**

**Step-by-step explanation:**

We all know that any number multiplied by zero equals zero. Consequently, the division by zero operation is impossible.

so, your answer is **undefined**

write an equation of a line that passes through the point (2,-2) and is parallel to the line 5x-2y=4

The **equation **of **line **is y= 5/2x -7.

The **slope **of the **line **and a point on the line may be used to **create **the **equation **of a line. To better comprehend how the equation for a line is formed. The **slope **of **the **line, which can be stated as a** **numeric integer, fraction, or the **tangent **of the** angle **it forms **with **the **positive **x-axis, is the line's inclination with respect to the positive x-axis. The coordinate system's point with the x coordinate and the y coordinate is referred to as the point.

One of the significant forms used to express a straight line algebraically is the **two point form.**

Written as, y- y1= m (x- x1), where m is **slope**.

Given:

a line passes through the point (2, -2) and parallel to 5x-2y = 4

Now, writing the given **equation **of line in the **form **of **slope** **intercept** form

5x- 2y=4

2y = 5x -4

y= 5/2x -2

Here the slope is 5/2 and the **required** **line** will also have the **same slope** as parallel line.

then, m=5/2

Now using y=mx +c

put y=-2 and x=2

-2 = 5/2(2) + c

-2 -5 = c

c=-7

Hence, the **equation **of **line **is y= 5/2x -7.

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The coordinates of the endpoints of QR are Q(6, 2) and R(18, 18). Point S is on QR and divides it such that QS:RS is 3:1. What are the coordinates of S? Write your answers as integers or decimals.

Check the picture below.

[tex]\textit{internal division of a line segment using ratios} \\\\\\ Q(6,2)\qquad R(18,18)\qquad \qquad \stackrel{\textit{ratio from Q to R}}{3:1} \\\\\\ \cfrac{Q\underline{S}}{\underline{S} R} = \cfrac{3}{1}\implies \cfrac{Q}{R} = \cfrac{3}{1}\implies 1Q=3R\implies 1(6,2)=3(18,18)[/tex]

[tex](\stackrel{x}{6}~~,~~ \stackrel{y}{2})=(\stackrel{x}{54}~~,~~ \stackrel{y}{54}) \implies S=\underset{\textit{sum of the ratios}}{\left( \cfrac{\stackrel{\textit{sum of x's}}{6 +54}}{3+1}~~,~~\cfrac{\stackrel{\textit{sum of y's}}{2 +54}}{3+1} \right)} \\\\\\ S=\left( \cfrac{ 60 }{ 4 }~~,~~\cfrac{ 56}{ 4 } \right)\implies {\Large \begin{array}{llll} S=(15~~,~~14) \end{array}}[/tex]

Alan sees this offer.

Refurbished phone

45% OFF

Now only £88

How much was the phone before the discounted price?

The **cost** of the phone before the **discounted** price is $160.

Given that, Refurbished phone 45% OFF now only £88.

What is the discount?**Discount** is the **reduction** in the price of goods or services offered by shopkeepers at the **marked price**. The List price or Marked price is the price of an article as declared by the **seller** or the manufacturer, without any **reduction** in price. **Selling price** is the actual price at which an article is sold after any reduction or **discounts** in the list price.

Let the **original price** of the phone be x.

Now, x - 45% of x = 88

⇒ x - 45/100 × x = 88

⇒ x - 0.45x = 88

⇒ 0.55x = 88

⇒ x = 88/0.55

⇒ x = 160

Therefore, the **cost** of the phone before the **discounted** price is $160.

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-3(v + 2) - 2v simplify and use distributive property

**Answer: -5v-6**

**Step-by-step explanation:**

13-14 question gemetri 10 grade

The **angle measures** formed by the **parallel** lines are:

9. m∠10 = 69°

10. m∠6 = 115°

11. m∠7 = 118°

12. m∠11 = 108°

13. m∠14 = 66°

14. m∠12 = 86°

How to Find the Angle Measures Formed by Parallel Lines?The **angle measures** can be determined by using the special angle relationship between the angles involved when a transversal crosses two lines that are **parallel**.

9. x and y are **parallel** lines

m∠5 = 69°

m∠10 = m∠5 [alternate interior angles theorem]

m∠10 = 69° [substitution]

10. x and y are **parallel** lines

m∠9 = 115°

m∠6 = m∠9 [alternate interior angles theorem]

m∠6 = 115° [substitution]

11. x and y are **parallel** lines

m∠12 = 118°

m∠7 = m∠12 [alternate interior angles theorem]

m∠7 = 118° [substitution]

12. x and y are **parallel** lines

m∠4 + m∠11 = 180 [supplementary angles]

72 + m∠11 = 180 [substitution]

m∠11 = 180 - 72

m∠11 = 108°

13. m∠4 + m∠14 = 180 [supplementary angles]

114 + m∠14 = 180 [substitution]

m∠14 = 180 - 114

m∠14 = 66°

14. m∠5 = 86° [given]

m∠12 = m∠5 [congruent angles]

m∠12 = 86°

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Find an equivalent statement for the following absolute value equation |x - 5] = 1x +6

**ANSWER: **

**STEP-BY-STEP EXPLANATION:**

Kamryn’s doctor recommended that she drink 64 fluid ounces of water every day. There are about 30 milliliters in 1 fluid ounce. Which measurement represents the number of milliliters in 64 fluid ounces?

help my teacher wants the answer in 15 minutes please help!!!

The 64 **fluid ounces** of water, as suggested by Kamryn's doctor to drink everyday, will be equal to **1920 millilitres**.

Writing the equation as per the relation between millilitres and fluid ounces -

**1 fluid ounce = 30 millilitres**

Now, we will perform multiplication to find the number of milliliters in 64 fluid ounces. Writing the expression representing relation between millilitres and fluid ounces

Number of milliliters = 30×64

Performing **multiplication** between the numbers 30 and 64

Number of milliliters = 1920

Therefore, on drinking 64 fluid ounces by Kamryn on her doctor's recommendation will drink **1920 millilitres** of **water **everyday.

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100 POINTS + BRAINLEIST IF CORRECT!

pretty sure its y=mx+b

[tex]\huge\boxed{\sf 16}\\\\ \sf The\ two\ right\ triangles\ are\ a\ reflection\ of\ each\ other.\\ Both\ sides\ are\ equal\ in\ size. \\\\ 5x+1=4x+4\\5x-4x=4-1\\1x=3\\\\ Plug\ the\ value\ of\ x\ back\ into\ any\ of\ the\ two\ equations.\\\\ 5(3)+1 =15+1=16[/tex]

Divide.

2/7÷1/3

Responses

6/7

2/14

1/4

2/21

**Answer:**

6/7

**Step-by-step explanation:**

2Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 1/3 is 3/1) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the following intermediate step, it cannot further simplify the fraction result by canceling.

In other words - two sevenths divided by one third is six sevenths.

Daniel walks at a speed of 4 miles per hour. Daniel leaves his house at 1:00 p.m. and walks toward a playground that is exactly 2 miles away.

How long does it take Daniel to walk 1 mile?

**Answer: 30 minutes to get to the playground **

**Step-by-step explanation:**

can someone help me answer this please?? Thank you so much is you help!! :)

The **value **of **g(f(x))** will be 3(1-x²) and the value of **g(f(2))** will be -9 for the f(x)=4-3x² and g(x)=x-1.

A **function **from a set X to a set Y assigns exactly one **element **of Y to each element of X. The set X is known as the **function's domain**, and the set Y is known as the function's **codomain**.

Functions are broadly classified into four categories. Element-based: one-to-one function, **many-to-one **function, **onto **function, one-to-one and onto function, **into **function.

Here, f(x)=4-3x² and g(x)=x-1

g(f(x))=(4-3x²)-1

g(f(x))=4-3x²-1

=3-3x²

=3(1-x²)

g(f(2))=3(1-2²)

=3*-3

=-9

For f(x)=4-3x² and g(x)=x-1, the **value **of **g(f(x)) **is 3(1-x²) and the value of **g(f(2)) **is -9.

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