Mathematics High School

please help fast and show all work thanks

Answers

Answer 1

(-1-16^)^2+(14-16)^2
(-7)^2+(-2)^2
49+4
53= 7.3
So 7.3 is your answer

Related Questions

Please help me! Im really confused on how to solve problems like this

Answers

a = -bc
÷-c ÷-c
b = a ÷ -c

To solve this problem, we must isolate b from the rest of the problem.

a= -bc

Firstly, divide -bc by c

a/c=-bc/c

The c on -bc cancels out

a/c=-b

Transfer the negative to he other side of the equation

b= -a/c

please answer both questions thank you.

Answers

first one is 36 units. second one is 40yrds squared

ax+2xy=14 solving for y

Answers

y= (14-Ax)/(2x); you first subtract the Ax on both sides, then divide by 2x for both sides and your result is fourteen minus Ax divided by 2x.

Answer:

[tex]y=\dfrac{14-Ax}{2x}[/tex]

Step-by-step explanation:

The given expression is :

[tex]Ax+2xy=14[/tex].............(1)

We need to find the value of y. Subtracting "Ax" on both sides of equation (1) as :

[tex]Ax-Ax+2xy=14-ax[/tex]

[tex]2xy=14-Ax[/tex]

Dividing both sides of above equation by "2x" as :

[tex]\dfrac{2xy}{2x}=\dfrac{14-Ax}{2x}[/tex]

[tex]y=\dfrac{14-Ax}{2x}[/tex]

So, the value of y is, [tex]y=\dfrac{14-Ax}{2x}[/tex]. Hence, this is the required solution.

For about 10 years after the french revolution, the french government attempted to base measures of time on multiples of ten: one week consisted of 10 days, one day consisted of 10 hours, one hour consisted of 100 minutes, and one minute consisted of 100 seconds. what are the ratios of (a) the french decimal week to the standard week and (b) the french decimal second to the standard second? assume that the definition of a "day" remains the same.

Answers

Final answer:

Explanation of the ratios of French decimal time to standard time after the French Revolution.

Explanation:

Ratio of French Decimal Week to Standard Week:

1 French decimal week = 10 days, whereas 1 standard week = 7 days. So, the ratio is 10/7.

Ratio of French Decimal Second to Standard Second:

1 French decimal second = 0.01 standard second since 1 hour = 100 French decimal minutes = 100 x 0.01 = 1 standard hour.

(a) The ratio of the French decimal week to the standard week is [tex]$ \frac{10}{7} $[/tex].

(b) The ratio of the French decimal second to the standard second is [tex]$ \frac{5}{3} $[/tex].

To find the ratios of the French decimal week to the standard week and the French decimal second to the standard second, we'll compare the durations of these units in the French decimal system to those in the standard system.

(a) Ratio of the French decimal week to the standard week:

In the French decimal system:

- One French decimal week consists of 10 days.

In the standard system:

- One standard week consists of 7 days.

So, the ratio of the French decimal week to the standard week is:

[tex]\[ \text{Ratio} = \frac{\text{French decimal week}}{\text{Standard week}} = \frac{10 \text{ days}}{7 \text{ days}} \][/tex]

(b) Ratio of the French decimal second to the standard second:

In the French decimal system:

- One minute consists of 100 seconds.

In the standard system:

- One minute consists of 60 seconds.

So, the ratio of the French decimal second to the standard second is:

[tex]\[ \text{Ratio} = \frac{\text{French decimal second}}{\text{Standard second}} = \frac{100 \text{ seconds}}{60 \text{ seconds}} \][/tex]

Now, let's simplify these ratios:

(a) Ratio of the French decimal week to the standard week:

[tex]\[ \frac{10}{7} \][/tex]

(b) Ratio of the French decimal second to the standard second:

[tex]\[ \frac{100}{60} = \frac{5}{3} \][/tex]

So, the ratios are:

(a) for the French decimal week to the standard week.

(b) [tex]$ \frac{5}{3} $[/tex] for the French decimal second to the standard second.

Can someone please help me with this problem?

Let f(x)=(x-2)^3+8.
Show that this function is one-to-one algebraically.

I've been stuck on this problem for quite some time now. I'm not asking for answers just a little explanation on what I need to do to solve it.

Answers

it is a function so u dont have to solve the equation u just have to make a graphic on it...i have learned in school that first u should do the line of x^3 then u should move the line -2 on the graphic( vertically) and then +8 horizontally

Find the simple interest on a $2,219 principal, deposited for six years at a rate of 5.11%

Answers

680.35
hope this helped!

680.35 is the amount of interest you pay.

35 points in a game if the team scored 21 points the first half the fraction of the total scored in the second half was

Answers

35 -21 = 14

14/35 reduces to 2/5

At the movie theatre, child admission is $5.50 and adult admission is $9.40 . On Monday, four times as many adult tickets as child tickets were sold, for a total sales of $1379.20 . How many child tickets were sold that day?

Answers

5.50c + 9.40a = 1379.20
a = 4c

5.50c + 9.40(4c) = 1379.20
5.50c + 37.6c = 1379.20
43.1c = 1379.20
c = 1379.20 / 43.10
c = 32 <=== 32 kids tickets

a = 4c
a = 4(32)
a = 128 <=== 128 adult tickets

Suppose that there are three astronauts outside a spaceship and they decide to play catch. all the astronauts weigh the same on earth and are equally strong. the first astronaut throws the second one toward the third one and the game begins. describe the motion of the astronauts as the game proceeds. how long will the game last?

Answers

The 3rd astronaut would catch the 2nd astronaut and throw the 2nd astronaut towards the 1st and the game would end there. The key thing to remember is conservation of momentum. Since all of the astronauts have the same mass and strength, I will be introducing a unit called "A" which represents the maximum momentum that one astronaut can produce while throwing another. So here's the game of catch, throw by throw. Before the game begins, I will assume all three astronauts are stationary and have 0 momentum. So Astronaut 1 = 0 A (Stationary, next to astronaut 2) Astronaut 2 = 0 A (Stationary, next to astronaut 1) Astronaut 3 = 0 A (Stationary) 1st astronaut grabs the 2nd astronaut and throws him towards the 3rd. Since every action has an equal and opposite reaction, what will happen is the 1st astronaut will be sent moving backwards with a momentum of -1/2A and the 2nd astronaut will be heading towards the 3rd with a momentum of +1/A. So we're left with Astronaut 1 = -1/2 A (Moving to the left) Astronaut 2 = +1/2 A (Moving to the right) Astronaut 3 = 0 A (Stationary) Now the 3rd astronaut catches the 2nd who was thrown at him. Both of them continue moving in the same direction as the 2nd astronaut was just prior to being caught, but at a reduced velocity, giving Astronaut 1 = -1/2 A (Moving to the left) Astronaut 2 = +1/4 A (Moving to the right, slowly) Astronaut 3 = +1/4 A (Moving to the right, slowly) Finally, Astronaut 3 throws astronaut 2 back towards Astronaut 1, giving Astronaut 1 = -1/2 A (Moving to the left) Astronaut 2 = +1/4 A -1/2A = -1/4A (Moving to the left, slowly) Astronaut 3 = +1/4 A +1/2A = +3/4A (Moving to the right, rapidly) So what you're left with is Astronaut 1 moving to the left faster than Astronaut 2, so those two astronauts will never catch each other. Meanwhile, Astronaut 3 is moving to the right and getting further and further away from the other 2 astronauts. So none of the astronauts will ever be able to catch or throw anyone ever again.

A scientist inoculates mice, one at a time, with a disease germ until he finds 2 that have contracted the disease. if the probability of contracting the disease is 1/6, what is the probability that 8 mice are required?

Answers

There are several possible events that lead to the eighth mouse tested being the second mouse poisoned. There must be only a single mouse poisoned before the eighth is tested, but this first poisoning could occur with the first, second, third, fourth, fifth, sixth, or seventh mouse. Thus there are seven events that describe the scenario we are concerned with. With each event, we want two particular mice to become diseased (1/6 chance) and the remaining six mice to remain undiseased (5/6 chance). Thus, for each of the seven events, the probability of this event occurring among all events is (1/6)^2(5/6)^6. Since there are seven of these events which are mutually exclusive, we sum the probabilities: our desired probability is 7(1/6)^2(5/6)^6 = (7*5^6)/(6^8).

Identify the property that is demonstrated below:

ab = ba

a. commutative property of addition
b.commutative property of multiplication
c. identity property of multiplication
d.associative property of multiplication

Answers

Commutative property of multiplication is the answer that you're looking for.

Which of the following phrases would represent this expression?

the quotient of x and 3
the quotient of 3 and x
the product of 3 and x
the difference of x and 3

Answers

i think its (the quotient of 3 and x)
sorry if i got it wrong

Answer:

The quotient of x and 3 is the answer i hope it works

Simplify square root of 5 plus the square root of 125 plus 25. I don't understand. Can someone please help me?

Answers

√ 5 + √ 125 + 25 [original problem - I assume 25 is not under a root]

√5 + √ 25·5 + 25 [find perfect square factors of 125]
√5 + 5√5 +25 [simplify √125]
6√5 + 25 [add 1√5 + 5√5 together]

***If the 25 is under a root, simply take it's square root (5) and add it to the end of the problem. The answer would be 6√5 + 5***

5(sqrt{20}) - 2(sqrt{125})
You need to simplify the square roots individually.
For each square root, look for two numbers that, when multiplied, will yield the number inside the radicand. However, one of the factors has to be a perfect square.
sqrt{20} = sqrt{4} times sqrt{5}
The square root of 4 is a perfect square because 2 times 2 = 4.
Then, the square root of 4 = 2.
The square root of 5 is NOT a perfect square and it is also in lowest term.
So, leave it alone.

==============================
sqrt{125} = sqrt{25} times sqrt{5}
The square root of 25 is 5 because 5 times 5 = 25.
Then, the square root of 25 is 5.
Again, the square root of 5 is NOT a perfect square and it is also in lowest term. Leave it alone.
We now have this:
5(2)(sqrt{5}) - 2(5)(sqrt{5})
10(sqrt{5}) - 10(sqrt(5}) = 0
The answer is 0.

Write the equation of a line that has a slope 1/3 and y-intercept 4.

Answers

Y=mx+b, where m represents the slope and b represents the y-intercept. If you plug in the numbers, you get the equation, y=(1/3)x+4

Final answer:

In slope-intercept form, y = (1/3)x + 4 can be used to represent the equation of a line with a slope of 1/3 and a y-intercept of 4.

Explanation:

In mathematics particularly in algebra, the equation of a line is usually formulated in the slope-intercept form, which is y = mx + b. Where m is the slope of the line and b is the y-intercept. For a line with a slope of 1/3 and y-intercept of 4, you would substitute 1/3 for m and 4 for b. Therefore, the equation of the line would be y = (1/3)x + 4

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Write an equation for the cubic polynomial function whose graph has zeroes at 2, 3, and 5.

Can any of the roots have multiplicity?
How can you find a function that has these roots?

Answers

Work backwards to find the factors from the roots, then multiply the factors together.y=x3−10x2+31x−30

Answer:

The roots cannot have multiplicity because the function is specified as cubic and 3 roots are given.

To find the function, write f(x) = (x – 2)(x – 3)(x – 5), and simplify the right side.

There are 2.54 centimeters in an inch how many inches are in 51.78 centimeters round to the nearest tenths

Answers

2.54 cm in 1 inch......how many inches in 51.78 cm...

51.78 / 2.54 = 20.4 inches <==

or this way...
2.54 / 1 = 51.78 / x....2.54 cm to 1 in = 51.78 cm to x inches
cross multiply
(2.54)(x) = 51.78)(1)
2.54x = 51.78
x = 51.78 / 2.54
x = 20.4 inches <==

If f(x)=x^2-3x,find f(-18). Show work

Answers

Answer: 378

-------------------------------------
-------------------------------------

Work Shown:

f(x) = x^2 - 3x
f(x) = ( x )^2 - 3*( x )
f(-18) = ( -18 )^2 - 3*( -18 ) ... replace every x with -18; now use PEMDAS
f(-18) = 324 - 3*( -18 )
f(-18) = 324 + 54
f(-18) = 378

Best buy shoes had a back to school special. The total bill for four pairs of shoes came to $69.24 ( before tax ) What was the average price for each pair of shoes?
QUESTION 2 If you only purchased 1 pair of shoes at Best Buy Shoes instead of the four described in problem 20, how much would you have paid, based on the average price?

Answers

Answer: a) $17.31, b) $17.31.

Step-by-step explanation:

Since we have given that

Total bill for four pairs of shoes = $69.24

Number of pairs of shoes = 4

We need to find the average price for each pair of shoes .

So, Average price would be

[tex]\dfrac{\text{Total amount}}{\text{Number of pairs of shoes}}\\\\=\dfrac{69.24}{4}\\\\=\$17.31[/tex]

If he purchased only 1 pair of shoes, the amount he has to pay based on average price would be $17.31.

Hence, a) $17.31, b) $17.31.

Final answer:

The average price for each pair of shoes from the total bill of $69.24 is $17.31. If only one pair of shoes was purchased, it would also cost $17.31.

Explanation:

To find the average price for each pair of shoes in the first question, you divide the total bill by the number of pairs of shoes. In this case, the total bill is $69.24 for four pairs of shoes.

Step-by-step calculation:

Divide the total cost ($69.24) by the number of pairs (4).

The calculation will be $69.24 / 4 = $17.31.

The average price for each pair of shoes is $17.31.

For the second question, if you were to purchase only one pair of shoes, the cost would be equal to this average price, which is $17.31.

When the sun is at 31 above the horizon, a tree casts a 42 ft. shadow. how tall is the tree?

Answers

Answer: 25.2361459992ft

This question can be solved by a trigonometric equation. Shadow formed when something with height like a tree, so it can be pictured as a vertical line. Shadow is a length of and can be pictured as a horizontal line.
In trigonometric, to find the vertical line length with horizontal line you need tan function. The sun angle will be used in the function, so the calculation would be: tan(31) x 42ft = 25.2361459992ft

On a farm, there are 20 fewer cows than twice the number of pigs. If there are 50 cows, how many pigs are there? Write a two step equation to model the scenario and answer it.

Answers

Let p represent pigs
50=2p-20
p=35

Which expression is equal to 2−√ 32 ?
8i√2

−8√2

8√2i

−8i√2

Answers

Answer:

A. [tex]8i\sqrt{2}[/tex]

Step-by-step explanation:

We have been given a radical expression [tex]2\sqrt{-32}[/tex]. We are asked to find equivalent expression to our given expression.

Using radical rule [tex]\sqrt{-a}=\sqrt{-1}\cdot \sqrt{a}[/tex], we can write [tex]\sqrt{-32}[/tex] as product of [tex]\sqrt{-1}\cdot\sqrt{32}[/tex].

[tex]2\sqrt{-32}=2\cdot \sqrt{-1}\cdot\sqrt{32}[/tex]

Substitute [tex]\sqrt{-1}=i[/tex]:

[tex]2\sqrt{-32}=2i\cdot\sqrt{32}[/tex]

[tex]2\sqrt{-32}=2i\cdot\sqrt{2\cdot 16}[/tex]

[tex]2\sqrt{-32}=2i\cdot\sqrt{2\cdot 4^2}[/tex]

[tex]2\sqrt{-32}=2*4i\cdot\sqrt{2}[/tex]

[tex]2\sqrt{-32}=8i\sqrt{2}[/tex]

Therefore, the equivalent expression would be [tex]8i\sqrt{2}[/tex].

The expression which is equal to 2√-32 is; 8i√2

According to the question, we have been given the radical expression; 2√-32

First, the expression can be evaluated as follows;

=2√-32

= 2√-1 × 32

We must recall that, In complex numbers, √-1 = i.

= 2i√32

= 2i√16 ×2

= 8i√2

Therefore, the expression which is equal to 2√- 32 is:. 8i√2

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Convert 30 feet per second to miles per minute.

5280 ft = 1 mi

Round to the nearest hundredth.

Answers

We know that:

1 mile = 5280 ft

1 minute = 60 sec

Therefore to convert this we simply use the conversion factors:

(30 ft / s) * (60 s / 1 min) * (1 mi / 5280 ft) = 0.34 mi / min

So we got 0.34 miles per minute.

Jennifer is saving money to buy a bike. The bike costs $245. She has $125 saved, and each week she adds $15 to her savings. How long will it take her to save enough money to buy the bike?

Answers

8 weeks. it is easy if you work backwards 245-125=120

120/15=8

Sari has 3 times as many pencils as sam.together they have 28 pencils how many more pencils does sari have

Answers

Sam has 7
Sari has 21

7 + 3(7) = 28
7 + 21 = 28
28 = 28
answer checks out.

I basically plugged and chugged for this one.

round to the nearest tenth.

Answers

[tex]\bf \cfrac{425~\underline{ft}}{\underline{h}}\cdot \cfrac{12~in}{\underline{ft}}\cdot \cfrac{\underline{h}}{60~min}\implies\cfrac{425\cdot 12~in}{60~min}\implies \cfrac{5100~in}{60~min}\implies 85\frac{in}{min}[/tex]

Eli took the fleet of 8 vans for oil changes. All of the vans needed windshield wipers which cost $24 per van. The total bill was $432. Write an equation to find out what oil change cost . Solve the equation

Answers

What you do is 24(8)=192

Then you do 432-192=240

Then you 240/8=30

The answer is $30 per oil change and $240 for all the oil changes together.

Hope this helps and please make mine the Brainliest answer!

an oil change will cost $30

I need help please I’m lost

Answers

Thanks for the equation:

3, 1, 2

3 is the most likely because the chances are out of 2 classes instead of 2, which is one class.

1 is the number of people is also included in 2.

Hope this helps!

Andreas invested $1000 in savings account. After 4 years, the account had earned a total of $112 simple interest without any additional deposits. What was his interest rate.

Answers

R = 112/1000 x 4 = 0.028 x 100 (find percentage) = 2.8%

What is the sum of the polynomials

A. 4m + 3B. 4m – 24n + 3C. 30m – 5D. 30m – 24n – 5

Answers

Answer:

B its 100% this one i promise

Step-by-step explanation:

The sum of the polynomials (17m - 12n - 1) and (4 - 13m - 12n) will be

⇒ 4m - 24n + 3

Option B is true.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The polynomials are,

⇒ (17m - 12n - 1) and (4 - 13m - 12n)

Now, Sum of the polynomial is find as;

The polynomials are,

⇒ (17m - 12n - 1) and (4 - 13m - 12n)

It can be written as;

The polynomials are,

⇒ 17m - 12n - 1

- 13m - 12n + 4

---------------------------

4m - 24n + 3

---------------------------

Thus, (17m - 12n - 1) + (4 - 13m - 12n) = 4m - 24n + 3

Therefore, The sum of the polynomials (17m - 12n - 1) and (4 - 13m - 12n) will be

⇒ 4m - 24n + 3

Option B is true.

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A cheetah ran 300 feet in 2.92 seconds. What was the cheetah’s average speed in miles per hour? Show your work.

Answers

60 seconds per minute, 60 minutes per hour

60*60 = 3600 seconds per hour

5280 feet per mile

300/5280 = 0.0568 of a mile

2.92/3600 = 0.000811 of an hour

0.0568 / 0.000811 = 70.028 miles per hour

round to 70 miles per hour

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