A clock radio is on sale for 25% off its original retail price of
$30. If the delivery charge for the radio is 10% of its purchase
price, how much would it cost to buy the radio and have it
delivered?

Answer:

I think the answer is 8 blue tiles and 20 green

Step-by-step explanation:

To keep the porportion multiply 2 blue tiles *4

then you need to take 5 green tiles *4

You get 8 blue tiles and 20 Green tiles, and added together you get 28 tiles

For this case we have the following variables:

x: represents time, in seconds at the start of the test.

y: represents the speed, in miles per hour.

We have then that:

x = 0 ---> y = 0

x = 12 ---> y = 0

Answer:

the electric car is not moving at 0 seconds and 12 seconds

I hope this helps!

the electric car is not moving at 0 seconds and 12 seconds

I hope this helps!

Answer:

The new coordinates are ( - 4, 5).

Step-by-step explanation:

P = (5, 4)

angle of rotation, A = 270 degree counter clock wise

x = 5 and y = 4

The new coordinates are

x' = x cos A + y sin A

y' = y cos A - x sin A

So,

x' = 5 cos 270 + 4 sin 270 = 0 + 4 (-1) = - 4

y' = 4 cos 270 - 5 sin 270 = - 5 (-1) = 5

So, the new coordinates are ( - 4, 5) .

Answer:

L ACB = 25 ( L at centre = 2× L at circumference)

prove

sum = 75

centre = 50

then L AOB +ACB = 75

50 + L ACB =75

L ACB = 75 - 50

then L ACB= 25

The price of the widgets for which it should be sold to make the maximum profit is $25.4   .

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.

We know that the quadratic equation ax² + bx + c ,

If a < 0; then the maximum value of the quadratic equation will be at x = -b/2a .

Given;

a company is selling a widget;

the selling price of each widget is = x

the profit made by the company = y

the equation of profit is given as y = −3x² + 152x − 1150 ,

here a = -3 , b = 152 and c = -1150

In the given quadratic equation we can see that;

a < 0 , so , the maximum will be at;

x = -b/2a

x = -152/2(-3)

x = 152/6

x = 25.333

x ≈ 25.4

Hence, the price of the widget will be $25.4  

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Answer:

Step-by-step explanation:

5 books × $7/book = $35

Answer: Susie walked 4000 kilometers on day 18 of her program

Step-by-step explanation:

The question explains an arithmetic progression of  Susie's walk program

Now the nth term of an AP is given as

an = a1 + (n - 1 ) d

a1  =First term = 600 m

common difference , d =200

The 18th day of her program will be

a18 =  600+ (18 - 1 ) 200

a18 = 600+ 17 x200

a18 = 600+3,400

a18 = 4000

Answer:

20/27

Step-by-step explanation:

The best prediction of the average annual salary of a professional football player in 2025 is $4,166,000

An exponential function is in the form:

y = abˣ

Where y,x are variables, a is the initial value of y and b is the multiplication factor.

Let y represent the average annual salary, x years since 2000, hence, from table:

At (2000, 1116000), that is (0, 1116000):

1116000 = ab⁰  

a = 1116000

At (20, 3193000):

3193000 = 1116000(b)²⁰

b = 1.05

The salary in 2025 ( x = 25) is:

y = 1116000(1.05)²⁵ = 4152719.5

The best prediction of the average annual salary of a professional football player in 2025 is $4,166,000

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The given quadratic equation is in vertex form.

option B.

The form of the given quadratic equation is calculated as follows;

The general form of a parabola given as;

y = a(x - h)² + k

Where;

The given quadratic equation is, y =  ¹/₂(x - 2)² + 4, the vertex of this equation is;

a = 1/2

h = 2

k = 4

Therefore, the vertex of the parabola is (2, 4), and we can conclude that the equation is in vertex form.

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-185/100 = -1.85

a) -1.08 this number id greater than -1.85

b) 190/100 = 1.9 this number is greater than -1.85

c) -35/20 = -1.75 this number is greater than -1.85

All these numbers are greater than -185/100

The minimum recommended temperature for the cold temperature run (\#7) is 15 degrees below room temperature.

The cold temperature run, marked as \#7, requires a specific temperature range to ensure optimal performance and safety. The minimum recommended temperature for this run is 15 degrees below room temperature.

Running at temperatures below room temperature allows for a more controlled environment that mimics colder conditions, which can be beneficial for various purposes such as testing equipment, evaluating performance, or assessing durability in colder climates. It helps identify potential issues or limitations that may arise in colder environments.

Setting the minimum recommended temperature at 15 degrees below room temperature provides a sufficient cold environment without excessively low temperatures that could pose risks or potential damage.

This temperature range strikes a balance between achieving the desired cold conditions for testing purposes while ensuring the safety and integrity of the equipment or system being evaluated.

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Answer:

see explanation

Step-by-step explanation:

4a + 8               4

2a² + 8a            2a

12a² - 8a           4a

4 - 6a                2

Match each expression with its greatest common factor as follows;

4a + 8               4

2a² + 8a            2a

12a² - 8a           4a

4 - 6a                2

The largest number that is found in the common factors is called the greatest common factor.

The given expression are;

4a + 8              

2a² + 8a            

12a² - 8a      

4 - 6a              

The greatest common factor of the expression are as follows;

4a + 8  = 4(a+2) = common factor = 4    

2a² + 8a = 2a(a+4a) = common factor = 2a

12a² - 8a = 4a(3a-2) = common factor = 4a

4 - 6a = 2(2-3a) = common factor = 2

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The main benefit of persuasive speech is to persuade any one on your opinion.

The motivated sequence approach and the persuasive speech both emphasize what the audience can do and what action they can take, which is a significant advantage. However, it is crucial to emphasize how necessary the suggested remedies are.

The purpose of a persuasive speech is to influence your audience's attitudes, beliefs, values, or judgements. If we return to the concept of motive, the prosecution counsel would attempt to persuade the jury in this speech that the defendant is guilty beyond a reasonable doubt.

You can gain from mastering persuasion by: Persuading someone to concur with you at the time. making it simpler to sell or market your products or services. helping you quickly establish rapport with others.

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I hope this answer will helps you.

Answer:

The common ratio of the sequence is -3

Step-by-step explanation:

The reason why the answer is -3 because every single number is multiplied by -3. If you need an explanation on how I found it, here it is:

To determine the common ratio by dividing each number in the sequence from the number preceding it. If the same number is not multiplied to each number in the series, then there is no common ratio.

The length of the long piece of wood is 17.15m

Dimensions in mathematics are the measure of the size or distance of an object or region or space in one direction. In simpler terms, it is the measurement of the length, width, and height of anything. Dimensions are generally expressed as: Length. Breadth.

The dimension of a shape is expressed in the form Length by breadth.

The dimension of the first stick is 17m by 28mm, therefore the length is 17m

The dimension of the second stick is 15cm by 37mm, therefore the length is 15cm = 0.15m

The length of the long stick = 17+0.15 = 17.15m

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Answer:

128 servings

Step-by-step explanation:

A recipe Uses 1 1/4 cups of milk to make 10 servings if the same amount of milk is used for each serving how many servings can be made using one gallon of milk

Cups of milk : number of servings = 1 1/4 cups : 10 servings

One gallon of milk = 16 cups

Let x = number of servings

Cups of milk : number of servings = 16 cups : x

Equate both ratios

1 1/4 : 10 = 16 : x

5/4 ÷ 10 = 16/x

5/4 × 1/10 = 16/x

5/40 = 16/x

1/8 = 16/x

Cross product

1 * x = 8 * 16

x = 128 servings

Number of servings = 128

The line that is not another name for Q is RL

For a line to represent the point Q, the following must be true:

Using the above highlights,

Hence, the line that is not another name for Q is RL

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There are no values of $b$ for which the base-$b$-representation of $2013$ ends in the digit $3$. For a number to end in the digit $3$ in base-$b$ representation, it must be congruent to $3$ modulo $b$.

We can rewrite $2013$ as $2 \cdot 10^3 + 0 \cdot 10^2 + 1 \cdot 10^1 + 3 \cdot 10^0$. Now, if $2013$ is congruent to $3$ modulo $b$, it means that $2 \cdot 10^3 + 0 \cdot 10^2 + 1 \cdot 10^1 + 3 \cdot 10^0$ is also congruent to $3$ modulo $b$.

Simplifying the expression, we have $2000 + 0 + 10 + 3$. Since the base-$b$-representation is formed by multiplying each digit by the corresponding power of $b$, we can rewrite the expression as $2 \cdot b^3 + 1 \cdot b^1 + 3 \cdot b^0$. We can now observe that the constant term $3 \cdot b^0$ will always be congruent to $3$ modulo $b$. However, the other terms $2 \cdot b^3$ and $1 \cdot b^1$ will not be congruent to $3$ modulo $b$ for any positive value of $b$. Therefore, the base-$b$-representation of $2013$ cannot end in the digit $3$ for any value of $b$.

Hence, there are no values of $b$ for which the base-$b$-representation of $2013$ ends in the digit $3$.

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The Addition Property of Equality will be used as part of isolating the variable in the equation "T + 3 = 9."

To isolate a variable in an equation, we use the properties of equality. The two properties of equality mentioned in the question are the Addition Property of Equality and the Multiplication Property of Equality.

1. Addition Property of Equality:
This property allows us to add the same value to both sides of an equation without changing the equality.

For example, if we have the equation "x + 3 = 9," we can isolate the variable by subtracting 3 from both sides: "x = 9 - 3," which simplifies to "x = 6."

In this case, we used the Addition Property of Equality to isolate the variable by subtracting 3.

2. Multiplication Property of Equality:
This property allows us to multiply both sides of an equation by the same non-zero value without changing the equality.

For example, if we have the equation "2x = 10,"

we can isolate the variable by dividing both sides by 2: "2x/2 = 10/2," which simplifies to "x = 5."

In this case, we used the Multiplication Property of Equality to isolate the variable by dividing both sides by 2.

In the given options, the equation "T + 3 = 9" requires the Addition Property of Equality to isolate the variable.

By subtracting 3 from both sides, we get "T = 9 - 3," which simplifies to "T = 6."

Therefore, the Addition Property of Equality will be used as part of isolating the variable in the equation "T + 3 = 9."

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The equation about the conic is r = 6/(4|sinθ| - 3cosθ).

We have,

Since the focus is at the pole, the conic is a polar equation with the form

r = e d / (1 - e cosθ), where d is the distance from the pole to the directrix and e is the eccentricity.

In this case,

e = 3/4 and the directrix is r sinθ = -2.

We can rewrite the equation of the directrix in Cartesian coordinates as

y = -2/sinθ.

Now we can use the formula for the distance from a point (x, y) to a line Ax + By + C = 0, which is:

d = |Ax + By + C| / sqrt(A^2 + B^2)

In our case,

The equation of the directrix is y + 2/sinθ = 0, which we can rewrite as

y = -2/sinθ.

The coefficients of x and y are both 0 and the constant term is 2/sinθ, so

A = 0, B = 1, and C = -2/sinθ.

Substituting into the formula.

d = |-2/sinθ| / √(0² + 1²)

d = 2/|sinθ|

Now we can write the equation of the conic as:

r = e d / (1 - e cosθ) = (3/4) (2/|sinθ|) / (1 - (3/4) cosθ)

Simplifying.

r = 6/(4|sinθ| - 3cosθ)

This is the polar equation of the conic with focus at the pole and directrix r sinθ = -2, and eccentricity e = 3/4.

Thus,

The equation about the conic is r = 6/(4|sinθ| - 3cosθ).

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Answer:

20

Step-by-step explanation:

the expression equivalent to 2x + 8 is (x+4) + (x+4)

using the commutative property we can say that

2x +8 = x + x + 8

also 2x + 8 = x + 4 + x + 4

hence 2x + 8 = (x+4) + (x+4)

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