7. (a) A line has the equation y = 6x – 3 and goes through the point (4, a).
Calculate the value of a.

Answers

Answer 1

[tex]a = 6(4) - 3 = 24 - 3 = 21[/tex]


Related Questions

1. Find the length of the arc shown in red:
2. Find the area of the circle:

Answers

Answer:

Step-by-step explanation:

Subway creates a paid promotion featuring a different 6-inch sub of the day each day of the week. The sub of the day is only $3. 50. Subway utilizes the radio to spread the word. Which promotion method is subway using?.

Answers

Based on the information provided, the promotion method subway is using is sales promotion.

What is promotion?

It is a marketing tool that involves letting know potential customers about a product that a company wants to sell.

What are the promotion methods?

Most common methods include:

Direct selling.Public relations.Sales promotion.

What is sales promotion?

This involves promoting or advertising products through sales, which means customers are offered special discounts or lower prices. This is the method used by the subway because the sub of the day is a sales.

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Dion bought 3 pounds of oranges and 2 pounds of grapefruit . Write an expression to represent the amount of money Dion spent on fruit. Then evaluate the expression. How much did Dion Spend?
Fruit Prices: Lemons : $0.79
Oranges : $ 0.99
Limes : $ 1.09
Grapefruit : $ 1.59

Answers

The expression to represent the amount of money Dion spent on fruit is 3x + 2y.

The amount of money Dion spent is $6.15

How to represent mathematical expression?

Expression are numbers, symbols and operators grouped together that show the value of something.

Dion bought 3 pounds of oranges and 2 pounds of grapefruit.

The expression to represents the amount of money Dion spent on fruit is as follows:

let

x = cost of each pounds of oranges

y = cost of each pounds of grapefruit

Therefore,

total cost = 3x + 2y

Let's evaluate the expression

total cost = 3(0.99) + 2(1.59)

total cost = 2.97 + 3.18

total cost = 6.15 dollars

Therefore, Dion spent $6.15

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Regan measured a neighborhood park and made a scale drawing. the scale she used was 7 inches = 5 yards. what is the scale factor of the drawing?

Answers

Answer:

fgy8errrbtthy333eeeee[tex]x^{2} 33\pi \sqrt[n]{x} \int\limits^a_b {x} \, dx[/tex]r4g344myngívr3vh57744kpuiv2224gpo48

Step-by-step explanation:

uyrooou

From her window 5 m above the ground, Sherri spots a turtle on the ground at a 34° angle of depression.

To the nearest tenth of a meter, how far is the turtle from the base of the Sherri’s building?


7.4 m


4.8 m


4.1 m


3.4 m

Answers

Answer:

7.4 m it's because toes are yummy

Felix’s Feed Mill sells chicken feed for $8. 00 per bag. This price is no longer high enough to create a profit. Felix decides to raise the price. He is considering four different plans. Plan A: Raise the price by $0. 10 each week until the price reaches $12. 0. Plan B: Raise the price by 10 percent each week until the price reaches $12. 0. Plan C: Raise the price by the same amount each week for 8 weeks, so that in the eighth week the price is $12. 0. Plan D: Raise the price by $0. 25 each week until the price reaches $12. 0. Which plan will result in the price of the feed reaching $12. 00 fastest? plan A plan B plan C plan D.

Answers

The plan will result in the price of the feed reaching $12.00 fastest is Plan B because it reaches within 5 weeks.

What is decision-making?

The process of making choice is by identifying the correct decision, gathering information, and assessing alternative solutions.

Felix’s Feed Mill sells chicken feed for $8. 00 per bag.

This price is no longer high enough to create a profit.

Felix decides to raise the price. He is considering four different plans.

The plan will result in the price of the feed reaching $12.00 fastest will be

Plan A: Raise the price by $0. 10 each week until the price reaches $12. 0.

⇒ $0.10 × 20 = $2

This plan will take 20 weeks to reach at a price of $12.

Plan B: Raise the price by 10 percent each week until the price reaches $12.0. The price of this plan will be in t weeks is

[tex]12 = 8 *1.1^t\\\\t = 4.25 \approx 5[/tex]

This plan will take less than 5 weeks.

Plan C: Raise the price by the same amount each week for 8 weeks, so that in the eighth week the price is $12.0. The amount will be

Amount = 2/8 = $0.25

Plan D: Raise the price by $0.25 each week until the price reaches $12. 0.

⇒ 0.25 × 8 = $2

This will take 8 weeks.

More about the decision-making link is given below.

https://brainly.com/question/3369578

2a=11.4 a= b-5=7.2 b= 3.4+c =10 c= 5.7divided by d= 1.9 d=

Answers

Hey there!


2a = 11.4

DIVIDE 2 to BOTH SIDES

2a/2 = 11.4/2

CANCEL out: 2/2 because it give you 1

KEEP: 11.4/2 because it give you the value of a-value


NEW EQUATION: a = 11.4/2


SIMPLIFY IT!

a = 5.7



Therefore, your answer is: a = 5.7


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

Evaluate f(2) for the function f(x)=5(x-3)+17

Answers

Answer:

12.

Step-by-step explanation:

Replace the x by 2 and evaluate:

f(2) = 5(2 - 3) + 17

= -5 + 17

= 12.

The value of function f (2) is, 12

We have to give that,

The function is defined as,

f (x) = 5 (x - 3) + 17

Substitute x = 2 in the above function,

f (x) = 5 (x - 3) + 17

f (2) = 5 (2 - 3) + 17

f (2) = 5 × - 1 + 17

f (2) = - 5 + 17

f (2) = 12

Thus, The value of a function at x = 2 is,

f (2) = 12

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Jimmy just left the movies. The
movie ended at 4:47 p.m. The
movie was two hours long.
What time did the movie start?
?

Answers

2:47 is when it started
It started at 2:47 because 4:47 minus two hours, equals 2:47. Hope this helps.

pls answer yessirrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr

Answers

Answer:

150

Step-by-step explanation:

this first side is 6 by 5, (6 x 5 = 30) and 4 sides have these measurements so (30 x 4 this = 120) to find the surface area of all these sides.

The second type of side is 3 by 5, (3 x 5 = 15) and 2 sides have these measurements so we have to do (15 x 2 = 30) to find the surface area of all these sides.

Now that we have all the surface area of all the sides we have to add them up (30 + 120) the surface area of the rectangular prism is 150.

Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!

Please help me ASAP

Answers

Answer:

12 -9

Step-by-step explanation:

Look to the ends of each arrow and you will see each number the arrow is on. Hope this helps.

Answer:

[tex]y=-x+3[/tex]

Step-by-step explanation:

Let's start by defining what slope-intercept form is. Slope-intercept form is:

y=mx+b

Where...

"y" = y-coordinate of any point on the line

"m" = slope of the line

"x" = x-coordinate of any point on the line

"b" = y-intercept (where the line intercepts the y-axis)

Let's start by finding the y-intercept. As stated above, the y-intercept is where the line intercepts the y-axis. Looking at the graph, we can tell that in this case, it is (0, 3).

Note that the y-intercept (b) is represented by ONLY the y-value, which in this case is 3.

Now, let's find the slope. Start by taking ANY two points on the line. Let's use (0, 3) and (1, 2).

The formula for slope is:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]y_1, y_2:$ Values for the two y-coordinates\\x_1, x_2:$ Values for the two x-coordinates[/tex]

Substitute the given points into the equation:

[tex]m=\frac{2-3}{1-0}=\frac{-1}{1}=-1[/tex]

The slope is -1.

Finally, we substitute our slope and y-intercept back into the equation and get:

[tex]y=-x+3[/tex]

What is the approximate length of the apothem? 0. 4 cm 0. 8 cm 1. 5 cm 1. 9 cm.

Answers

The length of apothem for a regular hexagon with radius of 18 cm and side of 18 cm is 15.6 cm

What is apothem?

The apothem of a regular polygon is a line segment from the center to the midpoint of one of its sides.

Let a represent the length of the apothem. Hence half of the side = 18/2 = 9 cm.

Using Pythagoras:

18² = a² + 9²

The length of apothem for a regular hexagon with radius of 18 cm and side of 18 cm is 15.6 cm

Find out more on apothem at: https://brainly.com/question/369332

Write the expression. Then, check all that apply.

a number cubed increased by four

Answers

Answer: C and B

Step-by-step explanation: because its rational.


-LearnWithBrainly

c and b i agree hope it helps

What is the value of the expression 3+(8-4)x2-4

Answers

Answer:

7

Step-by-step explanation:

First, do what's inside the parentheses.

Second, do the multiplication

Third, add.

Lastly, subtract

3+(8-4)x2-4

3+4x2-4

3+8-4

11-4

7

A long solenoid with radius r = 7 cm and n = 3,170 turns/m carries a current i = 6. 7 a. What is the magnitude of the magnetic field in the central area inside the solenoid, in t?

Answers

The magnitude of the magnetic field in the central area inside the solenoid, in T is 0.0267 T

Magnetic field inside solenoid

The magnetic field inside the central area of the solenoid is given by B = μ₀ni where

μ₀ = permeability of free space = 4π × 10⁻⁷ Tm/A, n = number of turns per unit length = 3,170 turns/m and i = current in solenoid = 6.7 A

Since B = μ₀ni

Substituting the values of the variables into the equation, we have

B = μ₀ni

B = 4π × 10⁻⁷ Tm/A × 3,170 turns/m × 6.7 A

B = 4π × 10⁻⁷ Tm/A × 21239 A-turns/m

B = 84956π × 10⁻⁷ T

B = 266897.15 × 10⁻⁷ T

B = 0.026689715 T

B ≅ 0.0267 T

So, the magnitude of the magnetic field in the central area inside the solenoid, in T is 0.0267 T

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The magnitude of the magnetic field in the central area inside the considered solenoid (assuming in vaccum), is approx 2.67 × 10^{-2} T

What is the measurement of the magnetic field inside a long solenoid?

Magnetic field = permeability constant x relative permeability x turn density x current

B = [tex]k\mu_0nI = \mu nI[/tex]

where turn density is calculated as:

n = N/L

Where N represents the number of turns of the wire and

L represents the length of the solenoid.

Assuming that the solenoid is placed in vaccum, we have:

[tex]\mu = k\mu_0 = \mu_0 = 4\pi \times 10^{-7} \: \rm T m/A[/tex]

And it is given that:

n = 3174 turns/mI = 6.7 amperes

Thus, we get:

[tex]B = \mu n I = 4\pi \times 10^{-7} \times 3170 \times 6.7 \approx 2.67 \times 10^5 \times 10^{-7} \\\\B = 2.67 \times 10^{5 + (-7)}B = 2.67 \times 10^{-2} \: \tm T[/tex]

Thus, the magnitude of the magnetic field in the central area inside the considered solenoid (assuming in vaccum), is approx 2.67 × 10^{-2} T

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what is 5x15= what help me please to hard

Answers

Answer:

75

Step-by-step explanation:

A pizza box is 20 inches wide, 18 inches long, and 2 inches tall.
How many square inches of cardboard were used to create the box?

Answers

Answer:

872 square in.

Step-by-step explanation:

The formula for the surface area of a rectangular prism is:

[tex]A=2(wl*wh*lh)[/tex]

Where w is the width of the prism, l s the length of the prism, h is the height of the prism, and A is the surface area.

Plugging in the numbers given, you get the following equation:

[tex]A=2((20*18)*(20*2)*(18*2))[/tex]

Which when calculated out, is 872 square in.

Brainliest if correct

Answers

Answer:

box 1 = 6,080

box 2 = 6,169

box 3 = 18,219

box 4 = 19,151

Step-by-step explanation:

six hundred kilograms of tea were packed in 500 g packets. how many packets of tea were there?​

Answers

Answer:

1200 packets of tea

Step-by-step explanation:

Its because theres 1000 grams in 1kg so it would be 600000 grams and you would divided 600000 over 500 and get 1200

Can you mark brainlyist?

Answer:

1,200 packets of tea

Step-by-step explanation:

1. First, convert 600 kilograms into grams.

1 kilogram = 1,000 grams

So,

600 kilograms = 600,000 grams.

Now divide the previous value by 500.

[tex]\frac{600,000 g}{500 g} = 1,200[/tex]

Therefore, there are 1,200 packets of tea.

Which of the following two characteristics are typical features of a less-developed country? high percentage of employed population high percentage of the population engaged in agricultural activity lower life expectancy due to limited access to healthcare high literacy rate due to funds available for higher education high gross domestic product per capita

Answers

Answer:

two characteristics are typical features of a less-developed country are:-

2- High percentage of the population engaged in agricultural activity

3- Lower life expectancy due to limited access to healthcare

Step-by-step explanation:

1 -false

2- true

3- true

4- false

5- false

~Kandy~

hope this helped!

Brainliest please!

A huge Ping-Pong tournament is held in Beijing with 65,536 participants at the start of the tournament. Each round of
the tournament eliminates half the participants.
a.
If p(r) represents the number of participants remaining after r rounds of play, write a formula to model the
number of participants remaining.

Answers

Answer:

[tex]P(r)=65536(\frac{1}{2})^{r}[/tex]

Step-by-step explanation:

Since the total number of participants in the tournament is 65,536 people, and the exponential decay is [tex]\frac{1}{2}[/tex], using [tex]P(r)[/tex] as the representative of the number of people after [tex]r[/tex] rounds, the formula to represent the model would be [tex]P(r)=65536(\frac{1}{2})^{r}[/tex].

Answer:

[tex]p_r = 65\ 536 \div 2^r = 65\ 536 \div 2^-^r = 2^{16-r}; r\ \in \{0,1,2,3...16\}[/tex]

Step-by-step explanation:

Pet peeve of mine: let's call it [tex]p_r[/tex]  (read p sub r)since it's a representation over the natural numbers and not over [tex]\mathbb{R}[/tex].

Old man yelling at clouds moment gone, we know that the number of people gets halved every time so

At round 0, we do not halve, so [tex]p_0 = 65\ 536\div 1[/tex]

At round 1, we halve once, so [tex]p_1 = 65\ 536\div 2[/tex]

At round 2, we halve twice, so [tex]p_2 = 65\ 536\div 4 = 65\ 536\div 2^2[/tex]

At round 3, we halve three times, so [tex]p_3 = 65\ 536\div 8 = 65\ 536\div 2^3[/tex]

...

At round k, we halved k times, so [tex]p_k = 65\ 536 \div 2^k[/tex]

...

At round 16 we [tex]2^1^6 =65\ 536[/tex] so we have a winner.

That allows us to write a formula. I personally find the last one to be the neater, but any of the three is formally correct.

[tex]p_r = 65\ 536 \div 2^r = 65\ 536 \div 2^-^r = 2^{16-r}; r\ \in \{0,1,2,3...16\}[/tex]

How do I right 62% as a decimal

Answers

Answer:

0.62

Step-by-step explanation:

=>           62% = 62/100

=>           62/100 =   0.62

Answer quick and show work!

Aj and his two friends went out to dinner and the meal's total was $100. They decided to give the server a 20% tip. How much money will the total bill be?

Answers

Answer:

$120

Step-by-step explanation:

Sharlotta's favorite candy is pixie sticks. A packet of 6 pixie sticks cost $ .42. How many packets of pixie sticks can Sharlotta buy for $13.02

Answers

the answer is 29.02

first I had to find out if it was cents or dollars I just thought of cents

so I did 42 cent minus 13.02 and that equals to 29.02

Name any two timber plans found in the Terai region of Nepal? Where is Red panda found? Why is it called an endangered bird?​

Answers

Step-by-step explanation:

red Panda is found in langtang national park and makalu-barun national park in Nepal .

timber planks for in the religion of Nepal sal, sissoo& Khair.

I'm injured birds are any bird fishing that is at risk of extinction because of a sudden rapid increase in population or a loss of its critical habitat .

7. Find the volume of a rectangular prism if the height is 14 inches and the area of the base is 30 square inches. Type your answer without units.

Answers

Answer:

420

Step-by-step explanation:

V = whl is the volume of a rectangular prism. w*h is the area, so V is area times height.

This gives us: V = 30 * 14 = 420.

I need help will give 20 points

Answers

Answer:

x=136 degrees

Step-by-step explanation:

A quadrilateral inscribed in a circle has opposite angles that add up to 180 degrees. So x + 44 deg = 180 deg. We can solve this to get x = 136 deg.

I hope this solution was helpful. Happy mathing!

Chris wants to create a rectangular rose garden in his yard. He has 40 meters of garden fencing to go around the garden and he has to use it all. Pick two different ways in which he could construct the garden.

Answers

Answer:

Dimension 1 = 12 x 8

Dimension 2 = 14 x 6

Chris should choose Dimension 1

Step-by-step explanation:

Perimeter of a rectangle = 2 × width + 2 × length

                                         = 2(width + length)

Given:

perimeter = 40m

⇒ 40 = 2(width + length)

⇒ width + length = 20 m

Therefore, possible dimensions:

Dimension 1 = 12 x 8  (as 12 + 8 = 20)Dimension 2 = 14 x 6  (as 14 + 6 = 20)

We need to calculate the area of both choices.  The choice with the greatest area will allow the most vegetables to be planted.

Area of Dimension 1 = 12 x 8 = 96 m²Area of Dimension 2 = 14 x 6 = 84 m²

Therefore, Chris should choose Dimension 1 (12 x 8).

What is origin? Write down the coordinates of origin. ​

Answers

Answer:

(0, 0)

Step-by-step explanation:

Origin is the center of the coordinate plane which is located where the x-axis and y-axis meet

The size of the rat population of a wharf area grows at a rate of 5% monthly. If there are
200 rats in June, find how many rats should be expected by next June.

Answers

Answer:

200+10×12=320

Step-by-step explanation:

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