Mathematics High School

A squirrel climbs 15 feet up a tree. He then runs 8.26 feet down the tree. How much further does the squirrel need to go before reaching the ground?

A)7.36 feet
B)7.26 feet
C)6.74 feet
D)8.11 feet

Answers

Answer 1
the answer is c 6.74 feet
Answer 2

Answer:

C

Step-by-step explanation:

Related Questions

What is the sum of the solution of 2lx-1l-4=-2

Answers

The sum of the two solutions is 4+0 or 4.

What is the remainder when 4x4 − 10x3 + 14x2 + 7x − 19 is divided by 2x − 1

Answers

Using long division, we have


        ___________________
2x-1 | 4x^4-10x³+14x²+7x-19

Next, we divide the first term of 2x-1 by the first term of 4x^4-10x³+14x²+7x-19 to get 4x^4/2x=2x³ (since 4/2=2 and to divide exponents you subtract the denominator from the numerator). Next, we put our 2x³ on the top and multiply (2x-1) by that. With the result of (2x-1) and 2x³, we multiply that by -1 and add it to 4x^4-10x³+14x²+7x-19, looking like


        2x³
        ___________________
2x-1 | 4x^4-10x³+14x²+7x-19

       - (4x^4-2x³)
         ____________________
                  -8x³+14x²+7x-19. Repeating the process, we get


        2x³-4x²+5x+6
        ___________________
2x-1 | 4x^4-10x³+14x²+7x-19

       - (4x^4-2x³)
         ____________________
                  -8x³+14x²+7x-19. 
                  -(-8x³+4x²)
       ______________________
                         10x²+7x-19
                        -(10x²-5x)
                        __________
                                 12x-19
                               -(12x-6)
                              _________
                                       -13 as our remainder


The remainder when [tex]4x^4 - 10x^3 + 14x^2 + 7x - 19[/tex] is divided by 2x − 1 is -13.

The given expressions are [tex]4x^4 - 10x^3 + 14x^2 + 7x - 19[/tex] and 2x-1.

What is the remainder?

The Remainder is the value left after the division. If a number (dividend) is not completely divisible by another number (divisor) then we are left with a value once the division is done. This value is called the remainder.

The division of the given expressions are given below:

           2x³-4x²+5x+6

       ___________________

2x-1 | [tex]4x^4 - 10x^3 + 14x^2 + 7x - 19[/tex]

      - ([tex]4x^4-2x^3[/tex])

     ____________________

                 -8x³+14x²+7x-19.

               -(-8x³+4x²)

      ______________________

                        10x²+7x-19

                      -(10x²-5x)

                       __________

                                12x-19

                               -(12x-6)

                             _________

                                      -13

Therefore, the remainder when [tex]4x^4 - 10x^3 + 14x^2 + 7x - 19[/tex] is divided by 2x − 1 is -13.

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Which is correct regarding the statement: “If x is an odd integer, then the median of x, x + 2, x + 6, and x + 10 is an odd number”

Answers

any odd number can be represened as 2n+1 where n is a whole number

the median is the  number in the middle when the numbers are arranged in increasing order
if there are an even number of numbers in the set, take the average of the middle 2


we have x,x+2,x+6,x+10
there are 4 numbers, so the median will be the avergage between x+2 and x+6 which is [tex]\frac{x+2+x+6}{2}=\frac{2x+8}{2}=x+4[/tex]
now, if x is odd, then replace x with 2n+1

(2n+1)+4=
2n+1+4=
2n+5=
2n+2(1)+1
even+even+odd=odd
the statement is true
x is odd
x+2 is also odd (eg: x = 3, so x+2 = 3+2 = 5)
x+6 is also odd for similar reasons above
x+10 is also odd

We have four values. The median is found in the middle, so exactly halfway between x+2 and x+6

Add up x+2 and x+6 to get
(x+2)+(x+6) = 2x+8

Then divide that result by 2. In other words, divide everything by 2
2x/2+8/2 = x+4

The result x+4 is odd since adding any even number to an odd number is going to result in an odd value

So the claim is true

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

Alternative method:
x is odd so x = 2k+1 where k is any integer
x+2 = 2k+1+2 = 2k+3
x+6 = 2k+1+6 = 2k+7
x+10 = 2k+1+10 = 2k+11

Add up the two middle terms
(x+2)+(x+6) = (2k+3)+(2k+7) = 4k+10

Divide that result in half
4k+10 ---> 4k/2 + 10/2 = 2k+5 = 2k+4+1 = 2(k+2)+1

The expression 2(k+2)+1 fits the form 2m+1 where m = k+2 is an integer

So 2(k+2)+1 is odd making the median to be odd. 

This further helps support why the claim is true

what is thirty five percent of two hundred

Answers

To do this, convert 35% to a decimal, which would be moving the decimal two times to the left which would be 0.35. Then, to find 35% of 200, you would multiply 0.35 and 200 to get your answer: 70
(200 : 100) * 35 =
2 * 35 =
70

What is the area of the figure. Show your work.

Answers

This is a 45-45-90 triangle.
The ratio of the sides is
1: 1: sqrt(2)

The legs have length (24 ft)/(sqrt(2)

The legs are the base and height.

A = bh/2 = [(24 ft)/(sqrt(2)) * (24 ft)/(sqrt(2))]/2 = [(576 ft^2)/2]/2

A = 144 ft^2

Tia cuts a 4-meter 8-centimeter wire into 10 equal pieces.Marta cut a 540-centimeter wire into 9equal pieces. How much longer is one of Marta's wires than one of Tia's

Answers

 Tia's wire is 4 meter and 8 centimeter long which is  that is  408 centimeter long and it is divided in 10 pieces.
tia = 408/10 = 40.8 cm
 Tia's wire pieces are 40.8 cm long

 Marta's wire, it is 540 centimeter long and is divided into 9 pieces
marta = 540/9 = 60 cm
 Marta's wires are longer than Tia's
Marta's wire is 19.2 cm longer than tias  

60cm - 40.8cm= 19.2 cm 

Your Turn: In the diagram, AB = 12, BX = 2.5, and DX = 5. Find CD. Show all work. *

Answers

CD = 24 Triangles ABX and CDX are similar triangles. So the ratio of lengths between corresponding legs of the triangles will have the same value. You know that they're similar triangles because both of them are right triangles (so you know that one angle is the same in both) and that arc draw on both angles AXB and CXD indicate that those angles match as well. That tells you there's a second angle that's matching in both triangles, and because two of the angles match, you also know that the unmarked angle matches as well since all the angles in a triangle have to add up to 180 degrees. So you know that AB/CD = BX/DX. Substitute known values and you get AB/CD = BX/DX 12/CD = 2.5/5 Now solve for CD 12/CD = 2.5/5 12/CD = 1/2 24/CD = 1 24 = 1 * CD 24 = CD So the value of CD is 24.

The base of a cube is parallel to the horizon. If the cube is cut by a plane to form a cross section, under what circumstance would it be possible for the cross section be a non-rectangular parallelogram?

Answers

The cross-section of a cube can be a non-rectangular parallelogram when the cutting plane is not perpendicular to the cube's base.

The scenario where a cube's cross-section can be a non-rectangular parallelogram occurs when the cutting plane is at an angle other than a right angle to the cube's base. This results in a parallelogram that is not a rectangle, as the cutting plane affects the shape of the cross-section.

When the cutting plane deviates from being perpendicular to the base of the cube, it creates a cross-section that is not a rectangle but can be a parallelogram with unequal angles and sides.

Understanding the geometric implications of the cutting plane's orientation is crucial in visualizing how the cube's cross-section can vary from a rectangular shape to a non-rectangular parallelogram.

The table gives the numbers of teachers and students in grades 6 to 8 at Earhart Middle School. Grade Teachers Students 6 1 25 7 2 50 8 3 75 Which teacher-to-student ratio maintains the proportional relationship described in the table?

Answers

Rewriting the table:

Grade          Teachers           Students
    6                     1                        25
    7                     2                       50
    8                     3                       75

Grade 6 to 8 all maintained the same proportional relationship because for every one teacher, there's 25 students 

If their food and beverages cost $25.30 and there is an 8% meals tax

Answers

Hey there,
Tax = 8% x $23.50 
       = $18.80
End cost = $25.30 + $18.30
               = $44.10

Hope this helps :))

~Top

Answer:

Then they'll pay $27.32

Step-by-step explanation:

In order to determine this, start by multiplying the cost of the meal by the tax amount.

25.30 * 8% = 2.02

Now add the tax to the meal cost

25.30 + 2.02 = 27.32

3 different problems, sorry these type confuse me

f(x) = 5x - 1 and g(x) = 6x, find f(g(x))

f(x) = 5x - 1 and g(x) = 6x, find g(f(x))

f(x) = 5x - 1 and g(x) = 6x, find g(f(2))

Answers

f [g(x)]
= 5(6x) - 1
= 30x - 1

g [f(x)]
= 6(5x - 1)
= 30x - 6

g [f (2)]
= 6 [5(2) - 1]
= 6 (10 - 1)
= 60 - 6
=54

A car travels 252 miles in 5 hours and 15 minutes. how many miles does it travel per hour?

Answers

Answer:

48 miles per hour

Step-by-step explanation:

5hrs and 15minutes = 315minutes

If 252 = 315

       x = 60

By cross multiplication

315x = 60 * 252

315x = 15,120

x = 15120/315

x = 48 miles per hour

The region bounded by the given curve is rotated about the specified axis. Find the volume V of the resulting solid by any method. x2 + (y − 4)2 = 16;    about the y-axis

Answers

[tex]\bf x^2+(y-4)^2=16\implies x^2=16-(y-4)^2 \\\\\\ x=\sqrt{16-(y-4)^2}\implies x=\sqrt{16-(y^2-8y+16)} \\\\\\ x=\sqrt{8y-y^2}\\\\ -------------------------------\\\\ 0=\sqrt{8y-y^2}\implies 0=8y-y^2\implies 0=y(8-y) \implies y= \begin{cases} 0\\ 8 \end{cases}\\\\ -------------------------------\\\\ \displaystyle \stackrel{\textit{disk method}}{\int\limits_{0}^8~\pi (\sqrt{8y-y^2})^2\cdot dy}\implies \pi \int\limits_{0}^8~ 8y-y^2\cdot dy[/tex]

[tex]\bf \displaystyle \pi \int\limits_{0}^8~8y\cdot dy - \pi \int\limits_{0}^8~y^2\cdot dy\implies \pi \left[ 4y^2~-~\cfrac{y^3}{3} \right]_{0}^8 \\\\\\ \pi \left[ \left[ 256-\cfrac{51}{3} \right]~-~[0] \right]\implies \pi \cdot \cfrac{256}{3}\implies \cfrac{256\pi }{3}\implies 85\frac{\pi }{3}[/tex]

On a given blueprint, 1 inch=12 feet. if the dimensiopns of a recreation room on the blueprint are 2 onches x 1.75 inches. what are its actual measurements

Answers

On a given blueprint, 1 inch=12 feet. if the dimensiopns of a recreation room on the blueprint are 2 onches x 1.75 inches. what are its actual measurements

Unit conversion is the conversion of one unit to another unit with its standard conversion.

The actual dimension of the recreation room is 24 feet x 21 feet.

What is unit conversion?

It is the conversion of one unit to another unit with its standard conversion.

Example:

1 minute = 60 seconds

1 km = 1000 m

1m = 100 cm

1 hour - 60 minutes

We have,

Recreation room dimension on the blueprint:

= 2 inches x 1.75 inches ______(A)

Scale factor:

1 inch = 12 feet

The actual dimension of the recreational room:

1 inch = 12 feet

Multiply 2 on both sides.

2 inches = 24 feet _____(1)

1 inch = 12 feet

Multiply 1.75 on both sides.

1.75 inches = 1.75 x 12 feet

1.75 inches = 21 feet ______(2)

From (1) and (2) and (A) we get,

= 2 inches x 1.75 inches

= 24 feet x 21 feet

Thus,

The actual dimension of the recreation room is 24 feet x 21 feet.

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I need help with 13 please ASAP

Answers

338.50 - 45 = 293.50 was spent on tolls

293.50 / 14 = 20.96

 so 21 tolls

What is the simplified form of the following expression square root 1/121
A 2/121
B 1/242
C 11
D 1/11

Answers

When you multiply a fraction, you do the top and the bottom separately, right?

Since a square root is like the opposite of multiplying, you can think of the top and the bottom separately for this too!

First, let's start with the top. The square root of 1 is 1, so the numerator is 1.

Now, let's do the bottom. The square root of 121 is 11, so the denominator is 11.

So, the answer is D, 1/11. You can check your answer by squaring it, and getting 1/121.

Hope this helps!

A newspaper carrier can deliver 49 papers in one hour at this rate how many newspaper can the carrier deliver in 3 hours

Answers

The newspaper carrier can deliver 147 newspapers in 3 hours
You would multiply the time by how many newspapers he can deliver. He can deliver 147 in 3 hours. Hope this helps

Have a nice day.

You can use a minus sign to make a negative number like -2. what happens if you put a plus sign before a number? what about 2++2?

Answers

Final answer:

A plus sign before a number does not change its value. In the expression 2++2, the two plus signs next to each other are interpreted as a positive number followed by another positive number.

Explanation:

When you put a plus sign before a number, it doesn't change the value of the number.

The plus sign is just a symbol to indicate that the number is positive.

In the expression 2++2, the two plus signs next to each other are not a valid mathematical operation.

Instead, it is interpreted as a positive number followed by another positive number.

So, 2++2 is equal to 2+2, which is 4.

A total of 697 tickets were sold for the school play. They were either adult tickets or student tickets. There were 53 fewer student tickets sold than adult tickets. How many adult tickets were sold?

Answers

Let x = number of adult tickets sold
Let x-53 = number of student tickets sold

x + x -53 = 697
2x - 53 = 697. 

Add 53 to both sides to get:

2x = 750

Divide both sides by 2 to get:

x = 375

375 adult tickets were sold. 

Please Help Me Anyone !!!
Addison earned a gross income of $42,750 last year. She made $537.56 in IRA contributions, donated $918 to her favorite charity and paid $1,351.35 in home mortgage interest. If Addison claims a standard deduction of $5,700 and her exemption is $3,650, what is her taxable income?
$30,593.09
$36,293.09
$31,511.09
$32,862.44

Answers

subtract all the other numbers from 42,750, you get 30,593.09
so A is the answer

Answer:

The answer is: $ 30,593.09.

Step-by-step explanation:

To the gross income of $ 42,750 of Addison, the amounts of the payments made must be deducted, that is, $ 537.56, $ 918, $ 1,351.35, plus the exemption of $ 3,650, and also if they grant him the standard deduction of $ 5,700; Your taxable income would be: $ 42,750 - ($ 537.56 + $ 918 + $ 1,351.35 + $ 3,650 + $ 5,700) = $ 30,593.09

The answer is: $ 30,593.09.

Which shape has congruent diagonals? Question options:
a rectangle
a parallelogram
a trapezoid

Answers

A rectangle has congruent diagonals.

Because some angles are more out than others in Parallelograms and trapezoids, their diagonals aren't congruent.

While catching fireflies, you and a friend decide to have a competition. After mm minutes, you have (3m+13)(3m+13) fireflies and your friend has (4m+6)(4m+6) fireflies.
a. How many fireflies are caught each minute during the competition?1m+7 fireflies are caught per minute.
b. How many fireflies are caught before the competition starts? fireflies are caught before the competition starts.

Answers

a. 7 fireflies are caught per minute. b. 19 fireflies were already caught prior to the contest starting. a. Looking at the equations (3m + 13) and (4m + 6) where m is equal to the number of minutes since the contest began, it's obvious that there are 3+4 = 7 fireflies caught per minute. b. One again, look at the two equations. Or for that matter, calculate them both and add the results for m=0 (the moment the contest began). And upon doing so, you'll see that 13 + 6 = 19 fireflies were caught prior to the competition starting.

Answer: the equation is 7m + 19

Step-by-step explanation:

The price of an item has been reduced by 55% . The original price was $80 . What is the price of the item now?

Answers

80×(1-55%)
=$36
the price of the item is $36 now



When developing a plan for a geometric proof, which of the following is not important?
A.) evaluate the given statement(s)
B.)determine the number of steps needed
C.)look carefully at the figure
D.)create a plan for the proof

Answers

The answer is B. determining the number of steps needed is not important when developing a plan for a geometric proof.

Answer: B.)determine the number of steps needed

Step-by-step explanation:

A geometric proof of a geometric statement includes the following steps :-

a) Evaluate the given statement.

b) Look carefully at the figure related to the geometric statement .

c) Create a plan to express the proof.

d)Then use definitions, given axioms, postulates and previously proved theorems to write a logical explanation approaches to the conclusion.

Hence, the step is not important to develop a plan for a geometric proof: is "determine the number of steps needed" .

How to do a math probem of two people working together?

Answers

1 + 1 ＝ 1 + 1, compromise and justify all your solutions.

Identify the slope and y intercept in this statement "it takes 45 minutes to paint 2 rooms. you have all ready painted for 45 minutes.

Answers

The slope is 45/2

The y-intercept is (0,42)

Sandy had 161 dollars to spend on 9 books. After buying them she had 17 dollars. How much did each book cost

Answers

Each book costs $16.00.

The cost of a pair of jeans was changed from $78 to $68.64. What was the percent change?

Answers

Answer:

-12.00%

Step-by-step explanation:

;)

Answer:

12% decrease

Step-by-step explanation:

An equilateral triangle has a perimeter of 102 in. What is the length of each side of the triangle?

Answers

I think its 34.Since its equilateral, all sides have the same length. So if you divide 102 by 3 you should have your answer.

Find a) the GCM (Greatest Common Multiple) and b) the LCM (lowest common multiple:
x²- 3x + 2; x²- 4x + 4

Answers

I assume you mean to find (a) the GCF (greatest common factor) and (b) the least common multiple LCM.

To do both parts, you need ot factor the polynomials.

x^2 - 3x + 2 = (x - 2)(x - 1)
x^2 - 4x + 4 = (x - 2)(x - 2) = (x - 2)^2

(a) GCF: use only common factors with lower exponent.

The GCF is x - 2

(b) LCM: use common and not common factors with the larger exponent.

The LCM is (x - 2)^2(x - 1)

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