Item 4
A gopher lives in an underground burrow. It starts at a certain point, p, underground and digs straight down to triple its distance under the surface. It then climbs straight down another 2 feet. Its final position is deeper than 8 feet under the surface.

What was the gopher's original position, p, relative to the surface?

Enter your answer in the box to complete the inequality.

Answer:

Equation of parabola: y = a(x-h)2 + k or x = a(y-k)2 +h, but the simple version is  y2 = 4ax.

Step-by-step explanation:

Answer:

14 miles if that's how far he went up

17miles if you're calculating his distance covered

The distance he hiked up the mountain is 10 miles.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that a mountain climber started at zero elevation. On the first day he hiked 10 miles up the mountain, on the second day it got steeper, and only hiked 3 miles, On the third day he had to detour and went down 4 miles, and on the last day, he went up 1 mile.

The total elevation will be calculated as below:-

Elevation  = 10 + 3 + 1 - 4

Elevation = 14 - 4

Elevation = 10 Miles

Therefore, the distance he hiked up the mountain is 10 miles.

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Answer:

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Answer: the answer is d

Step-by-step explanation:

Answer:

Algebra is the branch of Maths that uses alphabetical letters to find unknown numbers. These letters are also called variables. ... Algebra involves the simple operation of mathematics like addition, subtraction, multiplication, and division involving both constant as well as variables. For example, x+10 = 0.

Step-by-step explanation:

In its most general form, algebra is the study of mathematical symbols and the rules for manipulating these symbols; it is a unifying thread of almost all of mathematics. It includes everything from elementary equation solving to the study of abstractions such as groups, rings, and fields.

Hiiii!

Here's what algebra is:

Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols. In elementary algebra, those symbols (today written as Latin and Greek letters) represent quantities without fixed values, known as variables. ... The letters x and y represent the areas of the fields.

In simple words: a generalization of arithmetic in which letters representing numbers are combined according to the rules of arithmetic.

Hope it helps! ( ꈍᴗꈍ)

-Nezuko

Answer:

2  again and the next one is 3

Step-by-step explanation:

Answer:

-1/28

Step-by-step explanation:

You need to convert 2/7  and 1/4 into the same denominator. The GCD is 28. 2/7=8/28 and 1/4=7/28. 7/28-8/28=-1/28

Answer:

-1/28

Step-by-step explanation:

You have to find the least common multiple for 7 and 4, the denominators, to add the fractions. The LCM of 7 and 4 would be 28. You would have to multiply 7 by 4 and 4 by 7, meaning you have to multiply the numerators by the same number. 1x7/4x7-2x4/7x4= -1/28.

Answer:

i cant see anything

Step-by-step explanation:

.

Answer:

a)it is a 45 degree angle

b) Enzo saves 8 minutes if he takes the shortcut

Step-by-step explanation:

a) In the picture it looked like a square and if Rutherford street is 1.2 km so is Orchard avenue, and if its a true square it must be 90 degrees so you cut that is half and you get your answer of 45 degrees .

b) It takes Enzo 20 min to walk the shortcut and his walking speed is 6 km/h

you divide 20 by 1.3 or one third and you get 2 so the short cut is 2 km long, and we know Rutherford st. and Orchard ave. is 1.2 km each

2.4 km=length of Rutherford and Orchard together

shortcut is 2 km

divide 2.4 by 0.4 or .4 and you get 6  

so if it takes him 20 min on the shortcut it should save him 8 minutes.

The distance around a circle is the circumference.

Circumference = Pi x diameter.

Circumference = 3.14 x 48

Circumference = 150.72 inches

Round the answer as needed.

Answer:

You need to select ALL of the fractions listed that are GREATER than 1/2.

One of those is 3/4.

Step-by-step explanation:

Make all of the fractions equal to 1/2, and then compare to what they really are. For example, taking 3/4 and making it equal to 1/2, which would be 2/4. Since it is 3/4 though, we know that it is GREATER than 1/2.

Answer:

the answer is A1

Step-by-step explanation:

{a7} = 10 = a1 + 7*4

   10 = a1 + 28

  -28         - 28

 -18 = a1

Step-by-step explanation:

divide 3÷2 (5x+1.5>3x+2)

move the terms (5x-3x>2-1.5)

2x>0.5

divide by 2

x=0.25

Answer: − 34359738368

Step-by-step explanation:

the 4th answer option is correct.

the slope of the line is expressed as the ratio

y coordinate change / x coordinate change

when going from one point to the other.

Answer:

3m(a-2b)+(a-2b)^2

= 3m(a-2b)+(a-2b)(a-2b)

= (a-2b)(3m+a-2b)

Answer:

In mathematics, the dot product or scalar product is an algebraic operation that takes two equal-length sequences of numbers (usually coordinate vectors), and returns a single number. ... Algebraically, the dot product is the sum of the products of the corresponding entries of the two sequences of numbers

Step-by-step explanation:

Answer:

41910.

Step-by-step explanation:

We can calculate this by first finding the sum for  k = 1 to 50 then subtracting the sum for k = 1 to 14.

We use the formula  (1/6)n(n+1)(2n+1)

So for 1 to 50 its 1/6 * 50* 51 * 101 = 42925

and for 1 to 14 it comes to 1/6*14*15*29 = 1015

So the answer is 41910.

Answer:

Step-by-step explanation:

The value of x and the dimensions of the rectangular prism are as follows;

x = 7.5 m

length = 8 m

width = 5.5m

height = 12.5 m

volume of a rectangular prism  = lwh

volume = 550 m³

l = 8

w = x - 2

h = x + 5

Therefore,

v = lwh

550 = (x + 5)(x - 2)8

550 = (x² - 2x + 5x - 10)8

550 = (x² + 3x - 10)8

550 = 8x² + 24x - 80

8x² + 24x - 80 - 550 = 0

8x² + 24x - 630 = 0

4x² + 12x - 315 = 0

using quadratic formula,

where

a = 4

b = 12

c = -315

-b ± √b² - 4ac / 2a

Therefore,

x = -10.5 or 7.5

x cannot be negative .

so, x = 7.5

x = 7.5 m

length = 8 m

width  = 7.5 - 2 = 5.5 m

height = 7.5 + 5 = 12.5 m

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Answer:

15 seconds

Step-by-step explanation:

Step-by-step explanation:

step 1:-group the first two terms together and then the last terms together.

step 2:-factor out a GCF from each separate binomial.

step3:-factor out the binomial

[tex]\rule{300}{3}[/tex]

[tex]\text{Hi!}[/tex]

To find the cost per item (or in your case "rolls"), you will first have to divide the cost of the lunch rolls  [tex](2.50)[/tex]  by the amount of lunch rolls there are [tex](5)[/tex].

So in this case, it would look like

[tex] \textbf{$2.50/5} [/tex][tex]\text{$2.50 ÷ 5}[/tex][tex]\text{$2.50 / 5}[/tex][tex]\text{2.50}[/tex] ÷ [tex]\text{5}[/tex]

[tex]\text{=$0.50}[/tex]= [tex]\text{\ 0.50}[/tex]

[tex]\boxed{\$0.50{}}[/tex]

[tex]\rule{300}{3}[/tex]

Answer:

x = y = 60°

Step-by-step explanation:

The angle adjacent to 120° inside the triangle is

180° - 120° = 60°

The triangle is isosceles ( 2 congruent legs ) with the 2 base angles being congruent , then

y = 60°

The vertex of the triangle = 180° - (60 + 60)° = 180° - 120° = 60°

x is vertically opposite the vertex and is congruent , so

x = 60°

Answer:

I think its 3 and 4.5. I looked it up.

Step-by-step explanation:

Look up 2 in enlarged by 150% and I clicked on the first link and then do the same for 3.

The enlarged image will have a height of 3 in. and a width of 4.5 in.

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

An image viewed on a computer screen has a height of 2 inches and a width of 3 inches.

If the image is enlarged 150%

so, the height and width of the enlarged image is,

height = 2*150%

          =3

width= 3*150%

         =4.5

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Answer:

0.38

Step-by-step explanation:

First, we convert the fraction to a decimal number by dividing the numerator by the denominator:

3 / 8 = 0.375

There are two parts to the decimal number above:

Integer Part: 0

Fractional Part: 375

Now, we will make the Fractional Part just two digits (nearest hundredth) by using our rounding rules.*

In this case, Rule II applies, so 3/8 (or 0.375) rounded to the nearest hundredth in decimal format is:

0.38

Answer:

.375

Step-by-step explanation:

3/8=.375