**Answer:**

y = 1.15x

**Step-by-step explanation:**

15% = 0.15

100% = total bill

Total bill + 15% = 115% or 1.15

x × 1.15 = y

Please help me with this asappppp

The** perimeter of the rectangle **is **32 feet.**

**Perimeter of the rectangle:**

The perimeter of a rectangle is stated that the **sum of all the sides** of a rectangle.

Through the definition, the perimeter of a rectangle,

**P = 2 (a + b) units**

where

“a” is the **length **of the rectangle

“b” is the **width** of the rectangle

Given,

Here we have the diagram of the rectangle and the measurements are given in it.

And we need to find the perimeter of the rectangle.

Through the given diagram, we know that, the values of

length = 12 feet

width = 4 feet

Now, we have to apply the values on the formula in order to solve it,

So, the perimeter is,

P = 2 ( 12 + 4)

When we simplify it then we get,

P = 2 (16)

After the multiplication we get the result as

P = 32 feet.

Therefore, the perimeter of the rectangle is 32 feet.

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The graph of a linear function IS shown.

Which word describes the slope of the line?

positive

negative

zero

undefined

your answer will be positive

Simplify the expression √9x^3/25y^2 and be sure to explain your steps!

The **value **of the **expression **given as√9x^3/25y^2 is 3x^3/25y^2

**Expressions **are mathematical statements that are represented by variables, coefficients and operators

The **expression **is given as

√9x^3/25y^2

Evaluate the **square root **of 9 in the expression

So, we have the following **equation**

√9x^3/25y^2 = 3x^3/25y^2

The above **expression **cannot be further simplified

Hence, the **solution** to the expression is 3x^3/25y^2

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6. Given the area of the rectangle is 52 ft², find

the value of x.

(4x - 2) ft

2 ft

Answer:x=7

Step-by-step explanation: 2(4x-2)=52

8x-4=52

8x=56

x=7

PLS HURRYYYYY

Think about what you know about ratios and comparisons. Fill in each box. Use

words, numbers, and pictures. Show as many ideas as you can.

I don’t get it like we’re is the ratios

A bicycle has cash price $16 319.50. It can be bought on hire purchase with a deposit of $6

900 and ten monthly installments of $1 224.50 each.

a. What is the total hire purchase price for the bicycle? [3 marks]

b. Find the difference between the hire purchase price and the cost price for the bicycle.

[1 mark]

c. Express your answer in (b) above as a percentage of the cash price.

The **total cost **of the **hire purchase **for the **bicycle **is $19,145.

The difference between the **hire purchase price** and the** cost price **for the bicycle is $2,825.50

The **difference **as a percentage of **cash price **17.31%.

The **total cost **of the **hire purchase **is the sum of the deposit and the total monthly instalment.

**Total cost **of the **hire purchase **= amount deposited + total instalment paid

Total instalment paid = number of month x payment per month

$1224.50 x 10 = $12,245

**Total cost **of the **hire purchase **= $6,900 + $12,245 = $19,145

The difference = cost of hire purchase + cash price

$19,145 - $16 319.50 = $2,825.50

The **difference **as a percentage of **cash price **= (2,825.50 / $16,319.50) x 100 = 17.31%

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Let and .

Which transformations are needed to transform the graph of f(x) to the graph of g(x)?

Select EACH correct answer.

Question 3 options:

Horizontal translation 1 units right.

Vertical translation 1 unit down.

Horizontal translation 3 units right.

Horizontal translation 1 unit left.

Vertical translation 3 units up.

Vertical translation 3 units down.

The **transformations** that are needed to **transform** the graph of f(x) to the graph of g(x) include the following:

In Mathematics, the **translation** of a geometric figure to the right simply means subtracting a digit from the value on the x-coordinate (x-axis) of the pre-image and **translating** a geometric figure down simply means subtracting a digit from the value on the y-coordinate (y-axis) of the pre-image.

Given the following function:

Function, f(x) = 4^x

Next, we would **translate** f(x) 1 unit left based on this horizontal **translation **rule:

f'(x) = f(x + 1)

f'(x) = 4^{x + 1}

Now, we would apply a vertical **translation** 3 units down based on this horizontal **translation **rule:

f''(x) = f'(x) - 3

f''(x) = 4^{x + 1} - 3

Therefore, **function **g(x) = 4^{x + 1} - 3

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At lunch time a restaurant sold 6 times as many salads as they sold cups of soup . If they sold two cups of soup how many salads did they sell

[tex]\begin{gathered} \text{cups of soup=2} \\ \text{total salads =}2x6 \\ \text{total salads =1}2 \\ The\text{ sold 12 salads} \\ \\ \text{Question 2} \\ \text{kitten}=2 \\ \text{Total puppies =2x6} \\ \text{Total puppies =12} \\ \text{They have 12 puppies} \end{gathered}[/tex]

50 POINTS!!!

Decide whether inductive reasoning or deductive reasoning is used to reach the conclusion. Explain

1. even numbers are divisible by 2. odd numbers are not divisible by 2 so 4 is an even number

2. all photosynthetic organisms produce oxygen. phytoplankton and photosynhetic organisms. So phytoplankton produces oxygen.

3. Each time you clean your room, you are allowed to go out with your friends. So, the next time you clean your room, you are allowed to go out with your friends

**Answer:**

1. Deductive reasoning, because it is testing the ecisting theory that odd numbers are not divisible by 2 and gives an example that 4 is an even number and is divisible by 2.

2. This statement would be deductive reasoning because the person stating this is establishing the truth that all photosynthetic organisms produce oxygen, they are not creating a theory, just stating facts.

3. This would be inductive reasoning because they have given good reasons to base their theory however it is not simple fact.

**Step-by-step explanation:**

Hope i helped explain

If f(x) = |x|, what is the equation of the graphed function?

A. y = f(-x+3)

B. y=f(-x) +3

C. y= -f(x+3)

D. y = -f(x) +3

The **equation **of the **graphed** **function** is y = -f(x) +3.

**Translation **is the act of moving a form or a figure from one location to another. A figure can move in **translation** **up**, **down**, **right**, **left**, or anyplace else in the **coordinate system**. Only the object's location changes during translation; its size stays the same.

In mathematics, a translation is the up, down, left, or right movement of a form. Because the **translated shapes **appear to be **exactly **the **same **size as the original ones, they are consistent with one another. Just one or more routes have been altered.

Given:

f(x) = |x|

The graph given here is **reflected **over **x- axis.**

Now, to make it **up- side down** the parent function should be **negative**.

So, g(x)= -f(x)

then, the **graph **is also **shifted **3 units up.

Thus, g(x)= -f(x) + 3

y = -f(x) +3

Hence, the **equation **of the **graphed** **function** is y = -f(x) +3.

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On a map, Elmwood Drive passes through R(4,-11) and S(0,-9) and Taylor Road passes through

J(6,-2) and K(4,-5). If the streets are straight lines, determine if the streets are parallel or

perpendicular.

The streets where Elmwood and Taylor drive are **neither perpendicular nor parallel.**

Elmwood Drive passes through R(4,-11) and S(0,-9)

**Slope** of this line is (y₁-y₂)/(x₁-x₂)

Here (x₁,y₁) is (4,-11) and (x₂,y₂) is (0,-9)

slope of this line is (-11 - (-9))/(4-0)

= (-11 + 9)/4

= -2/4 = -1/2

Taylor Road passes through J(6,-2) and K(4,-5)

Slope of this line is (y₁-y₂)/(x₁-x₂

Here (x₁,y₁) is (6,-2) and (x₂,y₂) is (4, -5)

slope of this line is (-2 - (-5))/(6 - 4)

= (5 - 2)/2

= 3/2

The slopes of both the line is not same, so they are **not parallel**.

The **product of slopes** of both the lines is equal to 1, then it can be said as perpendicular lines.

The product of slope of streets passed by Elmwood and Taylor is

- 1/2 x 3/2 = -3/4

The result is not equal to 1, so they are **not perpendicular lines.**

Therefore, the streets where Elmwood and Taylor drive are **neither perpendicular nor parallel.**

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A trough is 12 feet long and 3 feet across the top (see figure). Its ends are isosceles triangles with altitudes of 3 feet.(b) If the water is rising at a rate of 3/8 inch per minute when h = 2.1, determine the rate at which water is being pumped into the trough. ft3/min

Given:

A trough is 12 feet long and 3 feet across the top (see figure). Its ends are isosceles triangles with altitudes of 3 feet.

The volume of the trough will be as follows:

[tex]undefined[/tex]What is 10+409 bc I really need help

=419

Hope this helps you :)

Hope this helps you :)

The total is 419! Add 1 + 0 and 0 + 9.

what is the 2nd ponit of x = -3

0 because if x=-3 then it would be written as (-3,0)

Find the measure of angle b

Angle b= 144°

180 — 36 = 144

180 — 36 = 144

NEED HELP ASAP - 100 POINTS

When solving quadratic equations, there are benefits to utilizing one method over the other. In your own words, explain what the advantages may be of using the method of completing the square to solve quadratic equations.

The **advantages **may be of using the method of **completing **the square to solve **quadratic equations **to estimate the values of x and y roots without calculating them.

A **quadratic equation **is the second-order degree algebraic expression in a variable. the standard form of this **expression **is ax² + bx + c = 0 where a. b are **coefficients **and x is the variable and c is a constant.

Using **Completing **the square.

1. First of all we can find the **minimum **or **maximum **of the equation immediately.

2. **Second **is to cuts out the need to use the given ones (a, b, c) in the **quadratic formula**.

3. It allows estimating the **values of **x and y roots without calculating them.

Then **Estimating **on a test is a very valuable asset.

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Alyssa buys 3 bottles of orange juice at the corner store for a total cost of $3.54. If

each bottle costs the same amount, how much is 19 bottles of juice?

First you do 3 divided by $3.54 which is 0.85 cents.

Then you do 0.85 times 19 which is $16.15.

So, the final answer is $16.15 for 19 bottles of juice.

Then you do 0.85 times 19 which is $16.15.

So, the final answer is $16.15 for 19 bottles of juice.

What is the slope of a parallel line whose equation is x-2y=-18. Fully simplified answer.

**Answer:**

slope of 1/2

**Step-by-step explanation:**

x-2y=-18

First, get the equation in **slope intercept form**

y = mx+b where m is the slope and b is the y-intercept

-2y = -x -18

Divide each side by -2

y = 1/2 x + 9

The slope is 1/2

**Parallel lines** have the same slope, so lines that are parallel will have a slope of 1/2

After 4 months of a new nutrition program, Rashid has lost 16% of his original weight. he lost 36 lb. What was Rashid's original weight?

225 is his original weight.

36*100/16

36 times 100 then divide by 16

36*100/16

36 times 100 then divide by 16

**Answer:**

225 lb

**Step-by-step explanation:**

Let x be Rashid's original weight.

If 16% of Rashid's original weight is 36 lb then:

[tex]\implies 0.16x=36[/tex]

To find Rashid's original weight solve for x:

[tex]\implies \dfrac{0.16x}{0.16}=\dfrac{36}{0.16}[/tex]

[tex]\implies x=225[/tex]

Therefore, Rashid's original weight is 225 lb.

two concentric circles have radii 11 and 22 two points on the outer circle are chosen independently and uniformly at random. what is the probability that the chord joining the two points intersects the inner circle?

**Answer: Two concentric circles have radii $1$ and $2$. Two points on the outer circle are chosen independently and uniformly at random. What is the probability that the chord joining the two points intersects the inner circle?**

**$\textbf{(A)}\ \frac{1}{6}\qquad \textbf{(B)}\ \frac{1}{4}\qquad \textbf{(C)}\ \frac{2-\sqrt{2}}{2}\qquad \textbf{(D)}\ \frac{1}{3}\qquad \textbf{(E)}\ \frac{1}{2}\qquad$**

**Solution**

**Let the center of the two circles be $O$. Now pick an arbitrary point $A$ on the boundary of the circle with radius $2$. We want to find the range of possible places for the second point, $A'$, such that $AA'$ passes through the circle of radius $1$. To do this, first draw the tangents from $A$ to the circle of radius $1$. Let the intersection points of the tangents (when extended) with circle of radius $2$ be $B$ and $C$. Let $H$ be the foot of the altitude from $O$ to $\overline{BC}$. Then we have the following diagram.**

**[asy] scale(200); pair A,O,B,C,H; A = (0,1); O = (0,0); B = (-.866,-.5); C = (.866,-.5); H = (0, -.5); draw(A--C--cycle); draw(A--O--cycle); draw(O--C--cycle); draw(O--H,dashed+linewidth(.7)); draw(A--B--cycle); draw(B--C--cycle); draw(O--B--cycle); dot("$A$",A,N); dot("$O$",O,NW); dot("$B$",B,W); dot("$C$",C,E); dot("$H$",H,S); label("$2$",O--(-.7,-.385),N); label("$1$",O--H,E); draw(circle(O,.5)); draw(circle(O,1)); [/asy]**

**We want to find $\angle BOC$, as the range of desired points $A'$ is the set of points on minor arc $\overarc{BC}$. This is because $B$ and $C$ are part of the tangents, which "set the boundaries" for $A'$. Since $OH = 1$ and $OB = 2$ as shown in the diagram, $\triangle OHB$ is a $30-60-90$ triangle with $\angle BOH = 60^\circ$. Thus, $\angle BOC = 120^\circ$, and the probability $A'$ lies on the minor arc $\overarc{BC}$ is thus $\dfrac{120}{360} = \boxed{\textbf{(D)}\: \dfrac13}$.**

**See Also**

Aiyana wrote the ratio 3:5 to compare a number of Paris of shorts that she owns to the number of pairs of jeans that she owns which ratio is equivalent to Aiyana’s ratio

** 3:5 **is equivalent to Aiyana’s **ratio**

Since 3 and 5 are both** prime numbers**, you must multiply them by the **same number** (or any other integer) in order to have a **ratio **that is the same as Aiyana's. Ex 3:5=6:10=9:15 etc. The three ratios are **identical**.

A** ratio **displays the multiplicity of two numbers. For instance, if a dish of fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six. The ratio of oranges to the overall amount of fruit is 8:14, while the ratio of **lemons to oranges** is 6:8.

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From a 128-foot tree, an object is thrown straight up into the air then follows a trajectory. The height S(t) of the ball above the building after t seconds is given by the function S(t) = 96t - 16t^(2). How long will it take the object to reach maximum height?

**Answer:**

**3 seconds**

**Step-by-step explanation:**

We can solve this in either of two ways: Graphing or taking the first derivative, I'll use both,

**Graphing**

Plot the equation. My DESMOS graph is attached. One can find the vertex of this curve at 3 seconds. Bonus: It reaches a height of 144 units at this point.

**Derivative**

The first derivative of this function will produce an equation that returns the slope of the line at any point x.

S(t) = 96t - 16t^(2)

S'(t) = 96 - 2*16t

S'(t) = 96 - 32t

The slope of the curve will be 0 when the ball reaches it's maximum height and begins to fall. Since we want the time it takes to reach a slope of zero, we can set S'(t) to 0 and solve:

S'(t) = 96 - 32t

0 = 96 - 32t

32t = 96

t = 3 seconds

5(4x - 1.5)+12=4x - 2

(if you’re solving for x)

Answer: -0.406

Explanation:

5(4x - 1.5) + 12 = 4x - 2

first, distribute the 5 into the parenthesis

20x - 7.5 + 12 = 4x - 2

then, simplify like terms

20x + 4.5 = 4x - 2

then, put the x terms together

16x + 4.5 = -2

put the constants together

16x = -6.5

solve for x.

x = -0.406

Answer: -0.406

Explanation:

5(4x - 1.5) + 12 = 4x - 2

first, distribute the 5 into the parenthesis

20x - 7.5 + 12 = 4x - 2

then, simplify like terms

20x + 4.5 = 4x - 2

then, put the x terms together

16x + 4.5 = -2

put the constants together

16x = -6.5

solve for x.

x = -0.406

4

Choose the conjecture that describes how to find the 7th term in the sequence 4, 20, 36, 52,

OA) Multiply 52 by 9.

O B) Multiply 16 to 32..

OC) Add 32 to 52

OD) Add 48 to 52.

...

The correct option D) Add 48 to 52 is the** conjecture** that describes for the 7th term in the **sequence.**

For the given question, the sequence is given as;

4, 20, 36, 52,

Where, the first term a₁ is 4.

Second term a₂ is 20 and,

Third term a₃ is 36

Common difference d for each case is;

d = a₂ - a₁

d = 20 - 4 = 16

d = a₃ - a₂

d = 36 - 20 = 16

as,** common difference** is same, the sequence is said to be in **AP**.

Then, the formula for finding the **7th term** is -

a₇ = a₁ + 6d

a₇ = 4 + 6×16

a₇ = 100

Now, this 7th term from the options can be found as;

Add 48 to 52 = 100.

Thus, the** conjecture** that describes for the 7th term in the **sequence **is add 48 to 52.

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Please help me with parts C and D, I’m struggling with them

**ANSWER**

**EXPLANATION**

Given;

[tex]\begin{gathered} sin\theta=\frac{6}{7} \\ 0<\theta<\frac{\pi}{2} \end{gathered}[/tex]c) Hence;

[tex]\begin{gathered} sin\frac{\theta}{2}=\sqrt{\frac{1}{2}(1-\frac{\sqrt{13}}{7}}) \\ \end{gathered}[/tex]In decimal form;

[tex]sin\frac{\theta}{2}=0.49[/tex]d)

[tex]\begin{gathered} cos\theta=\frac{\sqrt{13}}{7} \\ cos\frac{\theta}{2}=\sqrt{\frac{1}{2}(\sqrt{\frac{13}{7}+1})} \\ decimal=0.87 \end{gathered}[/tex]5. What is an equation of the line in slope-intercept form?

m=2/7 and the y-intercept is (0, -12)

Oy=2/7x+12

Oy=2/7x-12

Oy=12x-2/7

Oy=12x+2/7

**Answer:**

[tex]y=\dfrac{2}{7}x-12[/tex]

**Step-by-step explanation:**

[tex]\boxed{\begin{minipage}{6.3 cm}\underline{Slope-intercept form of a linear equation}\\\\$y=mx+b$\\\\where:\\ \phantom{ww}$\bullet$ $m$ is the slope. \\ \phantom{ww}$\bullet$ $b$ is the $y$-intercept.\\\end{minipage}}[/tex]

Given:

slope = ²/₇y-intercept = (0, -12)The y-intercept is the y-value when x = 0.

Substitute the slope and y-intercept into the **formula **to create the **equation **of the line in **slope-intercept** form:

[tex]\implies y=\dfrac{2}{7}x-12[/tex]

Casho went shopping for a new pair of sneakers because of a sale. The price on the tag was $25, but Casho paid $22.50 before tax. Find the percent discount

The percentage **discount **for the pair of **sneakers **is 10%.

A percentage is a value per **hundredth**. Percentages can also be fractions and **decimals **by decimals by dividing by 100 and vice versa. To obtain a percentage of a given value we divide the given percentage by a hundred and **multiply** the value with it.

The **percentage **discount can be determined by putting the discounted value upon the price multiplied by a hundred and **subtracting **the obtained percentage from the hundred percentage.

∴ The percentage discount on the pair of sneakers is,

= (22.50/25)×100.

= 0.9×100.

= 90%.

So, the **percentage discount **is (100 - 90)% = 10%.

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ABCDE is a circle centre O. The diameter, AC, is extended to the point F so that CF = 16 cm. The line BF is the tangent to the circle at B and FDE is a straight line such that FD = 18 cm and DE = 14 cm. The radius of the circle is r

**Answer:**

**Step-by-step explanation:**

*It is assumed you are looking for the ** missing value of r*.

Use the **intersecting secants** theorem:

**Substitute **known values and **solve for r**:

**Answer:**

(a) FB = 24 cm

(b) r = 10

**Step-by-step explanation:**

Find the length, in cm, of FB.

Intersecting Secant and Tangent Theorem

When a **secant segment** and a **tangent segment** meet at an exterior point, the **square **of the measure of the tangent segment is equal to the **product **of the measures of the **secant segment** and its **external secant segment**.

Given:

Tangent segment = FBSecant segment = FE = 18 + 14 = 32 cmExternal secant segment = FD = 18 cm[tex]\begin{aligned}\implies FB^2 & =FE \cdot FD\\FB^2&=32 \cdot 18\\FB^2&=576\\\sqrt{FB^2}&=\sqrt{576}\\FB&=24\end{aligned}[/tex]

Therefore, the length of FB is 24 cm.

Part (b)Find the value of r.

Triangle FBO is a **right triangle** with side lengths:

Pythagoras Theorem

[tex]a^2+b^2=c^2[/tex]

where:

a and b are the legs of the right triangle.c is the hypotenuse (longest side) of the right triangle.Therefore, substitute the side lengths of triangle FBO into **Pythagoras Theorem** and **solve for r**:

[tex]\begin{aligned}\implies BO^2+FB^2&=OF^2\\r^2+24^2&=(r+16)^2\\r^2+576&=r^2+32r+256\\576&=32r+256\\32r&=320\\r&=10\end{aligned}[/tex]

Therefore, the value of r is 10.

PLS HELP ME... just confused on this question about what I need to do

make an x and y value chart. replace x with any number ranging from negatives to positives. then graph the points. for example

let’s say you wanted to replace x with 1

y= 1^2 - 2(1) - 1

y= 1 - 2 - 1

y= -2

so an ordered pair would be (1,-2)

unless that’s not what you’re trying to do

let’s say you wanted to replace x with 1

y= 1^2 - 2(1) - 1

y= 1 - 2 - 1

y= -2

so an ordered pair would be (1,-2)

unless that’s not what you’re trying to do

Juan paid 13.46 for a 3.47-pound bag of shrimp at one store. the following week, he paid 18.75 for a 5.15-pound bag at another store. find the unit price for each bag is the better buy based on the unit price. round the answers to the nearest cent.

The unit **price** for a 5.15 **pound bag **is the better buy for Juan

Juan paid $13.36 for a 3.47 pound bag of shrimp:

So, cost of one pound bag of shrimp= [tex]\frac{1*13.46}{3.47}[/tex]

=$3.88

Hence, unit price for the 3.47 pound bag=$3.88

Following week, Juan paid $18.75 for a 5.15 pound bag at another store:

So, cost of one pound bag of another store= [tex]\frac{1*18.75}{5.15}[/tex]

=$3.64

Hence, unit price for the 5.15 pound bag at another store=$3.64

It is clear from the above result that second buy (5.15-pound bag at another store) is the **better** buy for Juan because it cost less per pound.

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emma is a sprinter who specializes in quick and powerful bursts of speed followed by periods of rest. carl is a marathon runner who specializes in long, steady runs. compared to emmas muscles, how are carls most likely to differ?
1080 sec: 6 min: 1080 sec simplified
When Dallas takes Johnny and Ponyboy to the Dairy Queen what happensin the movie that did not happen in the novel?
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x-2=4(x+1) divided by 2
2 $ 11 OA 1 2 3 4 5 -2 4 4 2 OB $ 4 5 2 1 C. 1 2 3 4 5 3 2 D.
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A motorbike covered a displacement of 20 kilometers West in 30 minutes. Calculate itsaverage velocity in km/h.
PLS HELP ME ASAP!!!!
Describe a situation that can be modeled using the given simulation. 1 marble chosen from a bag containing 11 red marbles and 4 blue marbles a. Determine the probability of selecting a month from January through November and the month begins with the letter J. b. Determine the probability of surveying 11 people and 4 of them like playing checkers. c. Determine the probability of selecting a pair of tennis shoes from a shoe collection that contains 4 dress shoes and 7 tennis shoes. d. Determine the probability of selecting an apple from a basket that contains 11 apples and 4 oranges.
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Given: Ray BD bisects prove:
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write a pair of fractions whose sum is 7/11and difference is 3/11
shopping products are products that the customer sees as basically the same and wants at the lowest price. a. homogeneous b. unsought c. regularly unsought d. specialty e. new unsought
What can you do with a written language that cannot be done with spoken language?