I think the answer is 4%

What is the equation of the line that passes through the point (−3,1) and has a slope of −3?

y=-3x-8

step-by-step explanation:

see image (also use some of my explanation from my previous answer)

step-by-step explanation:

see image (also use some of my explanation from my previous answer)

Find the equation of the line that contains the point (-1,-6) and is parallel to the line 4x + 7y=11. Write the equation in slope-intercept form, if possible.

answer box to complete your choice.

**Answer:**

y = -4/7x - 46/7

**Step-by-step explanation:**

4x+7y=11

7y=11-4x

y=-4/7x + 11/7

Slope or parallel line: -4/7

Point=(-1,-6)

y+6 = -4/7(x+1)

y = -4/7x - 46/7

:]

A retired couple invested $8000 in bonds. At the end of one year, they received an interest payment of $456. What was the simple interest rate of the bonds?

**5.7%**

let amount invested = Principal = $8000

time = 1 year

rate = ?

Interest = $456

**To get the rate, we'll apply simple interest formula:**

**Hence, the simple rate of the bonds is 5.7%**

Which numbers I have to put in the boxes

where’s the problem

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

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]

What is the solution set of the following equation?

-8x + x + 15 = -7x + 12

a. Ø

b. {all reals}

c. {1/7}

**Answer:**

A

**Step-by-step explanation:**

(-8x + x) + 15 = -7x +12

-7x +15 = -7x + 12

15 = 12 There are no solutions

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**

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.**

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.**

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 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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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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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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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

Please help me find out what 758x92 is

**Answer:69736**

**Step-by-step explanation:**

69,736

is the answer

is the answer

"-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.**

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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Which is larger, 52 or 33?

**Answer:**

52

**Step-by-step explanation:**

52 is a bigger number than 33?

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 answer to f(2)=

the answer is 2f

Re-order terms so constants are on the left

f×2=2f

what is 0.4111111… as a fraction

So there is a method to do this problem

Take 0.41111... as x

Thus 10x = 4.11111... and 100x= 41.1111...

=> 100x - 10x = 41.1111... - 4.111111

=> 90x=37

=> x= 37/90

=> 0.4111... = 37/90

Take 0.41111... as x

Thus 10x = 4.11111... and 100x= 41.1111...

=> 100x - 10x = 41.1111... - 4.111111

=> 90x=37

=> x= 37/90

=> 0.4111... = 37/90

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.

!!!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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A =

h(a + b)/2 solve for b

**Answer: b = (−ah+2a)/h**

**Step-by-step explanation: **

**Step 1: Flip the equation.**

**Step 2: Add (-1)/2ah to both sides.**

**Step 3: Divide both sides by h/2.**

The answer is B= 2A/H-a

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:**

please show work out

find the dimension of A34×b41 matrix]

A34 should represent either a **square matrix** with number of columns=number of rows =34 or the 4th element in the 3rd row in the matrix A [which is not possible in the given matrix since each row has only 3 elements]

The **dimension** of a matrix is given as (the number of rows it has, say a) x (the number of columns it has, say b) [read as a by b].. The given matrix has 4 rows and 3 columns, so its dimension is 4x3.

For a matrix A of dimension axb to be multiplied with a matrix B of dimension cxd, the number of columns of matrix A should be equal to the number of rows of matrix B, that is b = c should be satisfied. In this case both matrices are of the same dimension 2x3 but 3 (number of columns in first matrix) is not equal to 2 (number of rows in second matirx). So these matrices cannot be multiplied as their dimensions do not match.

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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.

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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when assessing a client withdrawing from alcohol, the nurse notes that the client is anxious, experiencing nausea, is restless, and has a tremor when both arms are extended. what should the nurse should do next?
17) A brand of coconut oil is updating its packaging. The old rectangular container was 1 foottall, 4 inches long and 2.5 inches wide, their new cylindrical container has a 4.5 centimeterradius and is 30 centimeters tall.a) Determine the volume of the rectangular container, 3 points(if needed round the final answer to the nearest hundredth.)b) Determine the volume of the cylindrical container. 3 points(if needed round the final answer to the nearest hundredth.)c) The company charges the same amount for each container. Is one of the containers abetter buy? Explain and show work that justifies your answer. 3 points
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Please answer quick i really need help
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