**Answer:**

Domain: (−∞,∞),{x|x∈R}

Range: (−∞,∞),{y|y∈R}

please answer these question

What age would a dog be in human years if he is 3 in dog years?

what is glow in the dark things made out of?

**Answer:**

Dog be 28

Phosphors apparently

**Step-by-step explanation:**

Which numbers I have to put in the boxes

where’s the problem

Give a polynomial of degree 3 that has zeros of 18, 10i, and −10i, and has a value of −3434 when x=1. Write the polynomial in standard form axn+bxn−1+….

The **polynomial **in standard form is 2x³+200x-36x²-3600

A **polynomial **is a mathematical **formula **that involves only the operations subtraction, addition, multiplication, and powers of positive **integers **of the **variables **and is composed of **coefficients **and **indeterminates**.

We know the **roots **of the **polynomial **as 18, 10i, and −10i.

therefore the polynomial is of the form.

a(x-18)(x-10i)(x+10i)

= a (x-18)(x²-100i²)

= a (x-18)(x²+100)

= a (x³+100x-18x²-1800)

Now at x =1 The value of the **polynomial **is -3434

Therefore

-3434 = a(1+100-18-1800)

or, a = 2

Therefore the **polynomial **is of the form: (2x³+200x-36x²-3600)

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What is the answer to f(2)=

the answer is 2f

Re-order terms so constants are on the left

f×2=2f

Express each phrase as a rate and unit rate.

(Round your answer to the nearest hundredth.)

1) 7 calculators cost $120.00

**Answer:**

$100.00

**Step-by-step explanation:**

5 and above ex: 150 =200 140=100 under 5 keep the first letter then turn the other numbers into 0's 5 and above make the first number go up one then turn the rest of the numbers in to 0's

NAME

DATE

PERIC

Lesson 3: More about Constant of Proportionality

Cool Down: Fish Tank

Mai is filling her fish tank. Water flows into the tank at a constant rate. Complete the table

as you answer the questions.

1.

How many gallons of water will be in the fish tank after 3 minutes? Explain your

reasoning.

2.

How long will it take to fill the tank with 40 gallons of water? Explain your reasoning

3. What is the constant of proportionality?

The **ratio **of one variable quantity to another that is always **constant **and to which it is **proportional **is known as the constant of proportionality then the constant of proportionality exists r = 1.6.

The **ratio **of one variable quantity to another that is always **constant **and to which it is **proportional **is known as the constant of proportionality.

Given

x y

0.5. 0.8

1. 1.6

3. 4.8

25. 40

To estimate the constant of proportionality uses the following **formula**:

y = r x

Where r is the **constant **of **proportionality**;

Simplify the value of r, we get

r = y/x

Substitute the values of x = 0.5 and y = 0.8, in the above **equation **then

r = 0.8/0.5

r = 1.6

When x = 1 ; y = 1.6

r = 1.6/1

r = 1.6

When x = 3; y = 4.8

r = 4.8/3

r = 1.6

When x = 25 ; y = 40

r = 40/25

r = 1.6

The value of r exists **constant**.

Therefore, the constant of proportionality exists r = 1.6.

The complete question is:

Mai is filling her fish tank. Water flows into the tank at a constant rate. Complete the table and answer the question below.

time (minutes) water (gallons)

0.5 0.8

1

3

40

What is the constant of proportionality?

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You invested $101 and received $106.05 after one year. What was the interest rate?

The **rate** of interest was **5%.**

The rate of interest and simple interest can be related through the formula -

**S.I. = PRT/100**, where S.I. stands for simple interest, P stands for principal, **R** stands for **rate** of interest and T stands for time.

Amount = Principal + Interest

Interest = 106.05 - 101

Performing **subtraction** on Right Hand Side of the equation

Interest = $5.05

Rate of interest = (5.05×100)/(101×1)

Performing **multiplication** in numerator and denominator

Rate of interest = 505/101

Performing **division**

Rate of interest = 5

Therefore, to earn $106.05 from $101 in one year, the rate of **interest** should be **5%. **

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What is the length of cd ?

**Answer:**

7

**Step-by-step explanation:**

since 3x-6 and x+8 are congruent x had to make both the equations equal eachother. 7 is the only number that does that

(Can anyone answer this please? I need it ASAP!!) A2B3C4 (in hexadecimal) - 3F2E1D (in hexadecimal) = ______________

The **hexadecimal** value from the operation is 6385A7

To solve this problem, we have to subtract the **hexadecimal numbers** from one another.

In doing so, we would subtract 3F2E1D from A2B3C4.

This would give us,

[tex]A2B3C4 - 3F2E1D = 6385A7[/tex]

The value of the **expression** is 6385A7.

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the cost to rent a moving van is $51 plus an additional $7 per hour. If a moving van is rented for 2 hours, what is the cost?

We know that

The cost to rent a moving van is $51 plus an additional $7 per hour.Based on the given information, we define the following

[tex]51+7(2)=51+14=65[/tex]Therefore, the cost is $65.The cost to rent a moving van is $51 plus an additional $7 per hour.

Based on the given information,

please help me solve this

It is to be noted that:

The**Bidding **is an individual or business's offer to establish a price for a product or service or a demand that something be done. Bidding is a method of determining the price or** worth of something.** Bidding may be done by a person who is influenced by a product or service in a given setting.

The calculations are given as follows:

Given:

Proposal of Empire design:

$30000 x b

$ 60000/ I beam

Proposal of Build-EM-UP-CO.

$32000 x b

$ 40000/ I beam

**Empire Design**

Since b = 9ft; and number of I beams = 6, Hence

Total bid = (300,000 * 9) + (60,000 * 6)

= $3,060,000

**Build-EM-UP-CO.**

Recall that b = 9ft; and number of I beams = 6, Hence

Total Bid = (320,000 * 9) + (40,000 * 6)

Therefore,

Total bid = $3,120,000.

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Full Question:

For full details of the question, see the attached image

A company is constructing an open-top, square-based, rectangular metal tank that will have a volume of 48.5 (ft) with superscript (3). What dimensions yield the minimum surface area? Round to the nearest tenth, if necessary.

The **dimensions** that yield the minimum **surface area **of the open-top square-based, rectangular metal tank that will have a **volume** of 48.5 ft³ are:

The **dimensions** of an area, which is a two-dimensional object, refer to the** length** and the **width**.

On the other hand, the **dimensions** of the **volume **refer to the length, width, and height.

The volume of the square-based rectangular tank = 48.5ft³.

The length of each side of the surface area = 3.6468 ft (∛48.5ft)

Check:

Volume = height x length x width

= 3.6468 x 3.6468 x 3.6468

= 48.499 ft³

= 48.5 ft³

Thus, the **dimensions** of the surface area include the **length** and the **width** without the **height**.

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a box has 12 red cards and 12 black cards. another box has 24 red cards and 24 black cards. you want to draw two cards randomly from one of the two boxes, one card at a time. which box has a higher probability of getting cards of the same color and why?

Select red from A and B then the **probability **of getting cards of same color is 12/24 * 24/48 = 1

**Box **A: 12 Red

12 Black

Box B: 24 Red

24 Black

One card is selected from **Box **A and placing the selected card into Box B.

One card is selected from Box B.

What is the **probability **that a red card is selected from Box B?

Two things can occur:

1) Select red from A and B:

12/24 * 24/48 = 1

2) Select black from A and red from B:

12/24 * 24/48 = 1

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please help need this asap!!!!! PLEASE SOMEONE ANSWER I WILL GIVE EXTRA POINTS!!!

The **area** of the circles are as follows:

The **area** of a circle can be found as follows;

**area** of a circle = πr²

where

r = radiusTherefore,

a.

area of the circle = πr²

diameter = 18km

r = 18 / 2

r = 9 km

Hence,

**area** of the circle = πr²

**area **of the circle = 3.14 × 9²

**area **of the circle = 254.34 km²

b.

**area **of the circle = 3.14 × 25²

**area **of the circle = 3.14 × 625

**area **of the circle = 1962.5 mm²

c.

**area **of the circle = 3.14 × 11²

**area **of the circle = 3.14 × 121

**area **of the circle = 379.94 m²

d.

**area **of the circle = 3.14 × 17²

**area **of the circle = 3.14 × 289

**area **of the circle = 907.46 cm²

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Which is larger, 52 or 33?

**Answer:**

52

**Step-by-step explanation:**

52 is a bigger number than 33?

Find the equation of a line perpendicular to y=x-1 and passes through the point (-1,-5)

A. y+5= -(x+1)

B. y-5=x-1

C. y+5=x+1

D. y-5= -(x-1)

**Step-by-step explanation:**

d

since you add them up you will have a certain answer that will match up

Given a normal distribution with mean M = 8 and σ = 3,

What is the x value corresponding to z = 0.4?

123

[tex]123 > x = 10 > 6[/tex]

!!!Need Help ASAP

R=42−0.7t

Quinn returned home one summer's day to find it extremely hot. He turned the air conditioner on, and the room's temperature began decreasing at a constant rate. The equation shown above gives the room's temperature, R, in degrees Celsius, t minutes after Quinn turned on the air conditioner. What was the room's temperature, in degrees Celsius, when Quinn returned home?

The room's temperature when Quinn returned home is the **y-intercept** of the **equation**, which is: 40 degrees Celsius.

The **equation** of a linear relationship between two variables, x and y, can be expressed in slope-intercept form as y = mx + b, where we have the initial value or the **y-intercept** as "b", and the rate of change or unit rate as "m".

Alternatively, it can be rewritten as y = b + mx.

R = 42 - 0.7t represents the **equation** for the Quinn's room's temperature, R, in degrees Celsius, and t in minutes after Quinn turned on the air conditioner.

Interpreting the **equation**, we can deduce the following:

The initial value or the **y-intercept** (b) was the room's temperature when Quinn returned home.

The unit rate or rate of change (m) = -0.7 degrees per minute.

Thus, Quinn's room's temperature when she returned was 40 degrees Celsius.

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x²y6/xy²

What is the value of the expression above

if x = -2 and y = 2?

**answer**

11

**Step-by-step explanation:**

**4x+1/3y^24(2)+1/3(3)^28+1/3(9)8+3**

A sea turtle is 3 feet below the surface of the sea. If its position can be recorded as −3 feet, what would the position 0 represent in this situation? (4 points)

Group of answer choices

A.) the height of the turtle

B.) the distance above the surface of the sea

C.) the distance below the surface of the sea

D.) the surface of the sea

**Answer:**

D

**Step-by-step explanation:**

-3 ft means that it is three feet below zero. That means 0 means the sea level.

A 100ml tub of ice cream costs £1.50. Work out how much 500ml tub of ice cream would cost.

**Answer:**

**Answer: 7.5 or 7 1/2.**

Carmen is about to complete a jigsaw puzzle the puzzle and one remaining piece are shown below what transformation can shark Carmen apply to the final piece to fit into the puzzle

We can see that the holes of the piece are already oriented in a way the piece will fit in the missing hole of the puzzle, so it doesn't need a rotation or reflection.

Then, in order to fit the piece in the hole, we need to move the piece 3 positions to the left and 1 position down.

Therefore the transformation needed is: **a translation of 3 units to the left and 1 unit down.**

"-2+8" > "-2" heeeeelpp

**Answer: Yes this equation means 6 is greater than -2, making this a true statement if that was what you're asking for.**

Quadrilateral ABCD is translated 6 units right and 5 units down to create quadrilateral EFGH. Determine the correct orientation and location of quadrilateral EFGH.

The **translation** of Quadrilateral ABCD with coordinates A(-3, 4), B(1, 3), C(3, 6), and D(1, 6) using the given **transformation rule** is; E(3, -1), F(7, -2), G(9, 1), H(7, 1)

What is the translation?

We are given the **vertices** of Quadrilateral ABCD as;

A(-3, 4), B(1, 3), C(3, 6), and D(1, 6)

Now, we are told that it is first **translated right** by 6 units. This means that we would add 6 units to each x-value to get;

A'(-3 + 6, 4) = A'(3, 4)

B'(1 + 6, 3) = (7, 3)

C'(3 + 6, 6) = C'(9, 6)

D'(1 + 6, 6) = D'(7, 6)

It is now **translated **by 5 units **downwards** and we subtract 5 from each y-value and this gives us;

E(3, -1), F(7, -2), G(9, 1), H(7, 1)

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Complete question is;

Quadrilateral ABCD has vertices A(-3, 4), B(1, 3), C(3, 6), and D(1, 6) is translated 6 units right and 5 units down to create quadrilateral EFGH. Determine the correct orientation and location of quadrilateral EFGH.

A boat traveled 240 miles downstream, then 240 miles back upstream. The trip downstream took 20 hours. The trip back upstream took 60 hours. Use this information to fill in the following blanks. Note: Express your answers as integers.

The **speed of the boat** in still water is 6miles/hour miles per hour.

The** speed of the current** is 3miles/hour miles per hour.

The distance travelled by the boat **downstream**(with the flow current of river) is 240 miles.

The distance travelled by the boat **upstream**(Against the flow current of river) is 240 miles.

Time taken to travel downstream = 20 hours.

Time taken to travel upstream = 60 hours.

Let us say the velocity of the boat is V and the velocity of the current flow of river is U.

The **relative velocity **of boat with respect to ground while going downstream is,

velocity of boat in downstream = V + U.

As we know,

**Velocity = distance/time**

Putting values of downstream motion,

V + U = 240/20

V + U = 10

Let us say this is our equation 1.

The relative velocity of boat with respect to ground while going upstream is,

velocity of boat in upstream = V - U

As we already know,

Velocity = distance/time

Putting the values of **upstream motion,**

V - U = 240/60

V - U = 3

Let us say this is our equation 2.

Now, on adding equation 1 and 2.

V+U+V-U = 10 + 3

2V = 13

V = 6.5 miles per hour.

Rounding off to the nearest integer,

V = 6 miles/hour.

Putting V = 6.5 miles/hour in equation 1,

6.5 + U = 10

U = 3.5 miles/hour.

Rounding off to the nearest integer,

U = 3 miles/hour

The velocity of river current is 3 miles/hour and velocity of boat is 6miles/hour.

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A boat traveled 240 miles downstream, then 240 miles back up stream. The trip downstream took 20 hours. The trip back up stream took 60 hours. Use this information to fill in the following blanks.

The speed of the boat in still water is ______ miles per hour.

The speed of the current is ______ miles per hour.

Consider the line y =

9

7

x-9.

Find the equation of the line that is parallel to this line and passes through the point (-7, 4).

Find the equation of the line that is perpendicular to this line and passes through the point (-7, 4).

**Answer:**

**Axis interception points **[tex]97x-9[/tex] x intercepts: [tex](\frac{9}{97} ,0),[/tex]Y intercepts:[tex](0,-9)[/tex]

**Step-by-step explanation:**

Slope of 97x-9 : m=97

Domain: 97 x - 9

Range: 97 x - 9

find the area. please explain how to get it

**Answer:**

**Step-by-step explanation:(the small double lines like = means that the length of those sides are all same)So, if one length is considered as x the other two will also be x we see that the length of one side is given which is 27 to find x x + x + x = 27 3x = 27 so, x = 27/3 x = 9m(the small vertical single line means that those sides are equal)so if one side is y, the other two are also yso , y + y+ y = 30 3y = 30 y = 10mIf we imagine the stairs to be made of small rectangles of length 10m and base 9m , finding area will be easier. we will see that there are 9 rectangles in totalarea of rectangle = length x baseso, area of 1 rectangle = 9x10 = 90**[tex]m^{2}[/tex]

so area of 9 identical rectangles = 9 x 90

= 810 [tex]m^{2}[/tex]

Please help!!!!

I’ll give you the Brainiest

A triangle has height 4ft and area 32 ft². What is the length of its base?

**Step-by-step explanation:**

1st

[tex]area = \frac{1}{2} base \times hight[/tex]

2nd

[tex]32 = \frac{1}{2} base \times 4[/tex]

3rd

[tex]32 \div 4 = \frac{1}{2} base[/tex]

4th

[tex]8 \times 2 = base[/tex]

answer

[tex]base = 16ft[/tex]

A farmer has 25 goats with a mean mass of 74 kg.

The farmer acquires a new goat and the mean mass becomes 72 kg.

What is the mass of the new goat?

**Answer: 72 **

**Step by step explanation: **

**sum of the masses of the 25 goats take as x then x/25=74 so 74×25=x x=1850 after buying a new goat number of goats =26**

**hope i helped <3**

Please help

Name the reciprocals of each equation

Equations in picture

**1**. (3/4)x = 9. Multiply both sides by the reciprocal of 3/4: (4/3)(3/4)x = (4/3)(9)

** x = 12.**

**2 . **-4=4/7*x

** ** 4x/7=-4

** x=-7**

** 3. -1/5*x=6**

-x/5=6

Multiply all terms by the same value to eliminate fraction denominators

Cancel multiplied terms that are in the denominator

**x=-30**

**With an example, what is a reciprocal equation?**

An inverse of a number or value is referred to as** reciproca**l. If x is any real number, then 1/x will be the reciprocal of that number. For instance, 1/8 is the reciprocal of 8, which is 1 divided by 8. 1/8's reciprocal is equal to 8.

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Describe how a substrate interacts with an enzyme. Use the phrase lock and key in your description. Answer in 2-3 sentences.
Fine the average rate of change for f(x) on the interval [-1,3]
I'll mark as brainlist. What are some keywords and key people for the empire Safavid? Please write a short sentence.
Acid-base reactions can also be classified as which type of reaction?(1 point)decompositionsynthesisdouble replacementsingle replacementPls answer asap
im so bad at things like this pls help
A parachute speed during a free fall reaches 135 miles per hour. What is this speed in feet per second? At this speed, how many feet will the parachute fall during 5 seconds free fall? In your computations, use the fact that 1 mile is equal to 5280 feet. Do not round your answer.
The energy diagram shown represents the chemical reaction between solid ammonium chloride and solid barium hydroxide octahydrate:2NH4Cl(s)+Ba(OH)28H2O(s)2NH3(aq)+BaCl2(aq)+10H2O(l)The H for this reaction is 54.8 kJ . How much energy would be absorbed if 27.1 g of NH4Cl reacts?Express your answer with the appropriate units.Answer= (value)/(units)
an electrician earns $18.per hour. how will he earn for a job that from 11:30 a.m. to 2:00 p.m.?
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If the government levies a $5 tax per mp3 player on buyers of mp3 players, then the price paid by buyers of mp3 players would likely?.
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You earn $\$34.50$ selling items at a craft show. Newton earns $5$ times as much as you. Descartes earns $0.1$ times as much as Newton does. How much do the three of you earn in all?
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In this speech by Romeo in Act II of The Tragedy of Romeo and Juliet,to whom or what does the last word, she, refer?But soft! What light through yonder window breaks?It is the East, and Juliet is the sun!Arise, fair sun, and kill the envious moon,Who is already sick and pale with griefThat thou her maid art far more fair than she.A- JulietB- the moonC- the sunD- juliets maid
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is the reflection of a figure in the x axis equivalent to the rotation of that same figure 180 (clockwise) about the origin?
Which steps should be used to graph the equation y-4 = 1/3 (x + 2)?
Hank has a very detailed model of the solar system where each planet is made out of granite rock. Since his little sister really liked the model, he spent two weeks in his dad's workshop building her a Styrofoam copy. When he picked up the models to take them back inside the house, which physical property would he immediately notice upon picking them up? A. conductivity B. color C. density D. ductilityHank has a very detailed model of the solar system where each planet is made out of granite rock. Since his little sister really liked the model, he spent two weeks in his dad's workshop building her a Styrofoam copy. When he picked up the models to take them back inside the house, which physical property would he immediately notice upon picking them up? A. conductivity B. color C. density D. ductility