State who is correct and explain why

Answer:

\(\sf 872\)

Step-by-step explanation:

Parentheses

\(9 + 3 = 12\)

\(=20^2\cdot \:2+6\cdot \:12\)

Exponents

\(20^2=400\)

\(=400\cdot \:2+6\cdot \:12\)

M/D(Multiply/Div.)

\(6\cdot \:12 = 72\)

\(=800+72\)

A/S(Add/Sub.)

\(800+72=872\)

\(\sf Thus,\\= 872\)

The \(x\)-intercept is where the graph intersects the \(x\)-axis. So, there is an \(x\)-intercept at \((-4,0)\).

The \(y\)-intercept is where the graph intersects the \(y\)-axis. So, there is a \(y\)-intercept at \((0,-1)\).

The horizontal asymptote is what the graph approaches as \(x \to \pm \infty\). So, there is a horizontal asymptote with equation \(y=-2\).

The vertical asymptote is where the graph approaches \(\pm \infty\). So, there is a vertical asymptote with equation \(x=-5\).

The function is zero at x = 1 and x = -3.

The vertex of the function is (-1, -4).

(0, -3) is the y-intercept.

The minimum of the function is at x = -1.

All the statement is true.

We have,

The zeroes of a function are the values of x that make the function evaluate to zero.

The vertex of a function, also known as the vertex point or vertex form, is a point on the graph of a quadratic function where the function reaches its maximum or minimum value.

The minimum of a function refers to the lowest value that the function attains over a given interval or its entire domain.

Now,

From the graph,

The function is zero at x = 1 and x = -3

So,

The function has two zeroes.

And,

The vertex of the function.

= (-1, -4)

And,

At x = 0, y = -3.

(0, -3)

This is the y-intercept.

Now,

From the graph,

The minimum of the function is at x = -1.

Thus,

The function is zero at x = 1 and x = -3.

The vertex of the function is (-1, -4).

(0, -3) is the y-intercept.

The minimum of the function is at x = -1.

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The value g(7) of the function g(x) = 7  / 8 x  - 1 / 2 is 45 / 8.

A function relates each element of a set with exactly one element of another set (possibly the same set).

In a simpler term, a function relates an input to an output.

Therefore, let's find the value of g(7) for the function below:

g(x) = 7  / 8 x  - 1 / 2

Hence,

g(7) = 7 / 8 (7)  - 1 / 2

g(7) = 49 / 8  - 1 / 2

g(7) =  49 - 4 / 8

Therefore,

g(7) = 45 / 8

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Answer:

I believe it would take 30.96 minutes.

Step-by-step explanation:

2.8 divided by 3 = .93 miles per minute

.93 x 33.3 miles =30.969 minutes

Producing written and visual content for social media can be divided into two items that can be developed as a one-person small business in a little amount of time.

Social media is internet communication that enables real-time information sharing and customer interaction. Social networking can help you: better connect with your audience. building online networks sell and publicise the goods and services you offer.

Social media's effects on business

The social media presence of businesses in order to boost visibility, engagement, positioning, and value creation for their intended audience has been facilitated by the digital revolution.

In order to help businesses establish their strategy in the digital environment, marketing and advertising agencies can quickly produce digital media such posters and catalogues in addition to advertising text as their core offerings.

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The radius of curvature of the curve \(a^{2y\)=x³-a³ at the point where the curve intersects the x-axis is 27\(a^{\frac{3}{2}\).

To find the radius of curvature of the curve \(a^{2y\)=x³-a³ at the point where the curve intersects the x-axis, we need to first find the equation of the curve and then determine the value of y and its derivative at that point.

When the curve intersects the x-axis, y=0. Therefore, we have:

a⁰ = x³ - a³

x³ = a³

x = a

Next, we need to find the derivative of y with respect to x:

dy/dx = -2x/(3a²√(x³-a³))

At the point where x=a and y=0, we have:

dy/dx = -2a/(3a²√(a³-a³)) = 0

Therefore, the radius of curvature is given by:

R = (1/|d²y/dx²|) = (1/|d/dx(dy/dx)|)

To find d/dx(dy/dx), we need to differentiate the expression for dy/dx with respect to x:

d/dx(dy/dx) = -2/(3a²(x³-a³\()^{\frac{3}{2}\)) + 4x²/(9a⁴(x³-a³\()^{\frac{1}{2}\))

At x=a, we have:

d/dx(dy/dx) = -2/(3a²(a³-a³\()^{\frac{3}{2}\)) + 4a²/(9a⁴(a³-a³\()^{\frac{1}{2}\)) = -2/27a³

Therefore, the radius of curvature is:

R = (1/|-2/27a³|) = 27\(a^{\frac{3}{2}\)

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Answer:

Step-by-step explanation:

A stem-and-leaf plot is a kind of histogram in which the most significant digit of a data value is taken to be the "stem", and the "leaves" are a list of the least-significant digits of the data values. It is convenient to list the leaves in increasing order, to facilitate determining the quartiles in the data.

__

The 14 data set values can be represented by the plot below. Here, we have elected to use parentheses ( ) to identify the 1st and 3rd quartile values, and a slash / to signify the location of the median.

__

stem | leaves

3 | 7 8

4 | 3 (3) 7 9

5 | 0 / 0 3 4 (6) 9 9

6 | 0

_____

The first and third quartiles are 43 and 56, respectively. The median is 50.

Answer:

yes

Step-by-step explanation:

5 times 3 is 15 and 12 and 15 and 12 divided  by  3 you will get 5/4

In order to run a successful charity event for 6 people, it is important to ensure that everyone has something to enjoy.

Number is a mathematical entity used to represent a computer magnitude it can be symbol or a combination of simple you should in order to take quantity such as the two, five, seven, three or eight number are used to verify the context including counting measuring and computing.


One way to do this is to provide cupcakes to one out of every three people. This will ensure that some people get a special treat while the others still have a chance to get one if they come to the event again. It also allows for a sense of fairness and equality, as everyone has an equal chance of receiving a cupcake. Additionally, it helps to build a sense of community and fellowship among the participants, as they can share the cupcakes and enjoy the experience together. It is also a great way to raise awareness about the charity and its cause, as people can talk about it while enjoying the cupcakes. To make sure that the event runs smoothly, it is important to have plenty of cupcakes on hand and to make sure that everyone is aware of the rules for receiving one.

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The three consecutive multiples of 3 are 15, 18 and 21

First, let's determine three successive multiples of 3:

The subsequent two would be "x+3" and "x+6" if we call the initial number "x".

Since we are aware that the third number (x+6) is one more than the first two numbers (x + x+3), we can write the following equation:

2/3(x + x+3) = (x+6) + 1

Simplifying this equation, we get:

2/3(2x+3) = x+7

Multiplying both sides by 3, we get:

2(2x+3) = 3(x+7)

Expanding and simplifying, we get:

4x + 6 = 3x + 21

Subtracting 3x and 6 from both sides, we get:

x = 15

Therefore, the three consecutive multiples of 3 are 15, 18 and 21

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Answer: there is one solution

Step-by-step explanation:

12x − 13y = 5

x = 23y + 10

lets substitute x into the first equation.

12(23y + 10) - 13y = 5

276y + 120 - 13y = 5

263y = -115

y = -115/263

substituting for x:

x = 23(-115/263) + 10

x = -2645/263 + 10

x = -15/263

As we can see, we get one value of x;

this means there is one solution

The volume of adrenaline you want is 0.25mL

From the question, we have the following parameters that can be used in our computation:

Amount to give = 250 mcg of adrenaline

Available = 1 mL of 1 : 1000 of adrenaline

The expression 1 mL of 1 : 1000 of adrenaline means that

1:1000 contains 1 mg in 1 mL (i.e. 1000 microgram/mL)

So, we have

Available = 1 mL * 1000 microgram/mL

Evaluate

Available = 1000 micrograms

This can be expressed as

Available = 1000 mcg

So, we have

Amount to give = 250 mcg of adrenaline

Available = 1000 mcg of adrenaline

When converted to mL, we have

Available = 1 mL of 1 : 1000 of adrenaline

Divide by 4

Amount = 1 mL of 1/4 : 1000/4 of adrenaline

Evaluate

Amount = 1 mL of 1/4 : 250 of adrenaline

This implies that

Amount = 1 mL of 1/4

Evaluate

Amount = 0.25 mL

So, the amount is 0.25 mL

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Hi there! Your answer is y = 4x+3

Please see the explanation for a clear understanding to the problem.

Any questions about the answer/explanation, feel free to ask in comment! :)

Step-by-step explanation:

Goal

Given

Step 1

You can either plot these points and use your graph-looking method to find a slope without any calculations! (It's possible!). But I'll demonstrate the usage of rate of changes instead of graph method.

Here's a formula that you will need to find a slope.

\(m=\HUGE{\frac{y_2-y_1}{x_2-x_1}}\)

We simply substitute the coordinate points in the formula. Remember the coordinate carefully as It's (x,y) and not (y,x).

\(m=\frac{23-(-9)}{5-(-3)} \\m=\frac{23+9}{5+3}\\m=\frac{32}{8} \\m=4\)

Therefore, our slope is 4. But since we want to find the entire equation as well, we can't just answer only a slope. Therefore, let's proceed to the next step.

Step 2

Let's see the form of slope-intercept. Make sure to remember carefully as you might be confused with point-slope form.

\(\large{y=mx+b} \Longrightarrow \large\sf{slope-intercept \ form}\\\)

\(\large{y=m(x-x_1)+y_1} \Longrightarrow \large\sf{point-intercept \ form}\)

The equation of a line is mostly in slope-intercept form so we will do slope-intercept form instead.

From the step 1, we solved and got the value of slope which is m from y = mx+b. We substitute m = 4 in the slope-intercept form.

\(y=mx+b\\y=4x+b\)

Notice that b-term is still missing! We need to find the b-term for the equation to be completed. Proceed to the next step.

Step 3

From the y = mx+b where m = slope and b = y-intercept. Finding the value of b can be different, depending on the equation itself. For this scenario, we have to substitute any given coordinate points in the equation. Remember (x,y) coordinate as well. You can either choose to substitute only one coordinate point if you are pretty certain but substituting two coordinate points in an equation is highly advised for a beginner.

Step 3.1

\(y=4x+b\)

Substitute x = -3 and y = -9 in the equation.

\(-9=4(-3)+b\\-9=-12+b\\-9+12=b\\3=b\)

Step 3.2

\(y=4x+b\\23=4(5)+b\\23=20+b\\23-20=b\\3=b\)

Since both equations have b = 3 as the solution. We can conclude  that b = 3 is the solution to y = mx+b.

Step 4

From y = 4x+b

\(y=4x+b\\\)

Substitute b = 3 in the equation as we get: \(y=4x+3\) #

The degree of a polynomial is the highest power.

If we look at the polynomial, we can see that 9 is the greatest power here.

Therefore, the degree is 9.

Best of Luck!

Answer:

1250 dollars lost :(

and gained 3750 dollars

Step-by-step explanation:

one/ fourth of 5000 is 1250 just as 500000 is one fourth of 125000

Title: Echoes of Legacy

In the depths of history, my ancestor Emma stepped forward with a photograph in her hands. The image revealed a scar on her cheek, a reminder of her resilience.

Title: Echoes of the Past

I had always been fascinated by the old family photograph that hung on the wall. It depicted a man with rugged features, a scar running across his weathered face, and a distant look in his eyes. That man was my ancestor, Samuel McAllister, and it was time for me to step into his world and uncover the mysteries that lay within.

As I closed my eyes, the world around me faded away, and I found myself transported to the 19th century. It was a time of great turmoil, an era defined by the echoes of war and whispers of change. Samuel, a resilient and courageous man, had ventured into the unknown, leaving behind a life of familiarity to seek adventure and fortune in the American West.

Samuel's journey took him through vast landscapes, from bustling cities to untamed frontiers. He encountered characters as diverse as the land itself, from cowboys to Native Americans. Each encounter left an indelible mark on his spirit, shaping him into a man of empathy and understanding.

One evening, as Samuel set up camp beneath a star-studded sky, a ghostly presence appeared before him. It was a specter, translucent and ethereal, silently beckoning him to follow. Filled with curiosity and a sense of foreboding, Samuel pursued the apparition through moonlit forests and winding canyons.

The ghost led him to a hidden cave, its walls adorned with ancient symbols and forgotten tales. In that sacred space, Samuel discovered a hidden treasure—a trove of knowledge passed down through generations. He realized that he had stumbled upon a portal to the past, a bridge connecting him to his ancestors and their wisdom.

Armed with newfound insight, Samuel returned to civilization, but his journey was far from over. He faced personal demons and fears, wrestling with his own identity and the weight of responsibility. Yet, through it all, he carried the spirit of his ancestors within him, drawing strength from their stories and the legacy they left behind.

Samuel's adventures were not without hardship. He witnessed the brutality of war, experienced heartbreak, and confronted his own mortality. But in those moments of adversity, he discovered resilience and compassion, traits that defined his character.

The scar on his face became a symbol of his resilience—a reminder of the battles fought, both physical and emotional. It served as a testament to the scars we all carry, visible or hidden, and the strength that lies within us to overcome adversity.

As I opened my eyes, I realized that I had lived through Samuel's experiences, even if only in my imagination. Through his story, I had unearthed a deeper connection to my roots, understanding the sacrifices and triumphs that shaped my family's legacy.

Samuel's journey continues to resonate within me, a reminder of the importance of embracing our past, exploring our fears, and celebrating the extraordinary within the ordinary. His story lives on, echoing through the corridors of time, inspiring future generations to embark on their own quests of self-discovery and adventure.

Word Count: 546 words

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Hong rode the scooter for 61 minutes.

What is the algebra?

Algebra is a branch of mathematics that deals with mathematical equations and their properties. It is a way to represent and solve problems using mathematical symbols, letters and numbers.

We can use algebra to solve for the number of minutes Hong rode the scooter. Let x be the number of minutes Hong rode the scooter.

We know that the total bill is the sum of the start fee and the per-minute fee.

So, we can set up the equation as:

Total bill = start fee + per-minute fee

In this case:

10.88 = 6 + (x * 0.08)

We can then solve for x by isolating it on one side of the equation:

10.88 = 6 + (x * 0.08)

10.88 - 6 = x * 0.08

4.88 = x * 0.08

x = 4.88 / 0.08

x = 61

So, Hong rode the scooter for 61 minutes.

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The time Jack left Santa Clara is 1 : 55 pm

A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.

The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.

Therefore, the total time he spent is

25mins + 25 mins = 50 mins

He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;

2:45 pm = 14 :45

= 14:45 - 50mins

= 13:55

= 1 : 55pm

Therefore he left at 1:55 pm

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Answer:

I will be phrasing the number of cups of sugar as s, and the number of cakes as c.

3s = 4c

3 divided by 4 = 0.75

0.75s = 1c

For 1 cake, Olaf needs 0.75 cups of sugar.

Hope it helps! :)

Answer:

C!!!!!!!!!

Step-by-step explanation:

hope it help.

Answer:

yes this is correct

Step-by-step explanation:

The  number of pounds  of each kind to be mixed are 25.10 and 2.90 respectively.

An equation is defined as a formula that expresses the equality of two expressions.

The given parameters are;

one candy that sells $1.10

Another candy that sells $2.55

Number of pounds to be mixed = 28

Let us take the number of mixture = y

The second mixture would be 28-y

The rate at which each of  the 28 pound sell = $1.25

Total sales = $35(28*$1.25)

⇒1.10y+$2.25y(28-y)=$35

Simplifying the equation we have

1.10y-2.55y=$35-$71.40

=-1.45y=-$36.40

Therefore; y=25.10

Another candy would cost 2.90(28-25.10)

⇒2.90(2.90)

8.41

The mixtures are 25.10 and 2.90 each

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Answer:

324 degrees

Step-by-step explanation: A circle has 360 degrees. In the question, they are 90 quantities. So that means we need 90% of the circle graph.

So first let divide 90 by 100 which gives us 0.9.

Now let multiply 0.9 times 360 which gives us 324.

Answer:

4.615 in

Step-by-step explanation:

Triangle ABC and ABD are similar because they have two corresponding congruent triangles that is right angle and ∠A. Triangle ABC and BCD are similar because they have two corresponding congruent triangles that is right angle and ∠C. Therefore Triangle ABC, ABD and BCD are similar. Since they are similar, then their sides are proportional in length.

In triangle ABC, using Pythagoras theorem:

AC² = AB² + BC²

AC² = 12² + 5²

AC² = 144 + 25 = 169

AC² = 169

AC = √169 = 13 in

Using similar triangle for ΔABC and ΔABD:

\(\frac{AC}{AB}= \frac{BC}{BD} \\\\\frac{13}{12}=\frac{5}{BD}\\\\BD=\frac{12*5}{13}\\ BD=4.615\ in\)

The exact value of x is √1156 and it follows the Pythagorean triple

From the question, we have the following parameters that can be used in our computation:

Legs of the right triangle = 16 and 30

Using the pythagoras theorem, we have

Hypotenuse^2 = the sum of the squares of the other lengths

So, we have

x^2 = 16^2 + 30^2

When evaluated, we have

x^2 = 1156

This gives

x = √1156

Hence, the exact value is √1156

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Answer: (4x+24)=4⋅(x+6) =28

11x+33= 11⋅(x+3) =44

6x-6= 6⋅(x−1)=0

Step-by-step explanation:

Answer:

fgi = 48

fgh = 24

hgi = 24

Step-by-step explanation:

Bisection divides an angle into two equal angles,

So,

4x - 20 = 3x - 9

4x - 3x = - 9 + 20

x = 11

fgi = 3x - 9 + 4x - 20

= 3x + 4x - 20 - 9

= 7x - 29

= 7 ( 11 ) - 29

= 77 - 29

fgi = 48

fgh = 3x - 9

= 3 ( 11 ) - 9

= 33 - 9

fgh = 24

hgi = 4x - 20

= 4 ( 11 ) - 20

= 44 - 20

hgi = 24

Answer:

Step-by-step explanation: