solve for x??????????

[tex](x+1)^2 = x^2 +2x + 1[/tex]

Considering that the trench is modeled by a rectangular prism, the volume that was removed is 1776 cubic feet.

The volume of a rectangular prism of length l, width w and height h is given by:

[tex]V = lwh[/tex]

In this problem, we want the measures in feet, and considering that 1 feet is 12 inches:

Then:

[tex]V = lwh = 102.5(5.33)(3.25) = 1776[/tex]

The volume that was removed is 1776 cubic feet.

To learn more about the volume of rectangular prisms, you can take a look at https://brainly.com/question/17223528

Answer:

the length of rectangle is 27 in

Answer:

6.4 should be the correct answer

Step-by-step explanation:

if im wrong and you wanted it in a different format im sorry

Answer:

1.5 miles / hour

Step-by-step explanation:

The question is most easily done by converting to decimals

3/4 = 0.75 miles

1/2 = 0.5 hours

Formula

r = d/t

Solution

r = 0.75 miles / 0.5 hours

r = 1.5 miles per hour

Answer:

Merry Christmas too!!

Step-by-step explanation:

Stay safe lovelots

#LEARN WITH BRAINLY

Answer:

Step-by-step explanation:

You are after time. You know the total distance. They start off at the same time and meet after t hours

Let the meeting time = t

Let the distance from Mary's standpoint be d

Mary

d = r * t

r = 1 mile / hour

t = ?

Ava

d = r*t

d for Ava = 10 - d

r = 4 mile / hour

Solution

10 - d = 4 * t

The time is the same for both people

Ava: divide both sides by 4

10/4 - d/4 = t

Mary

d = 1 * t

d = t

10/4 - d/4 = d        Add d/4 to both sides.

10/4 = d + d/4

10/4 = 5d / 4        Multiply both sides by 4

10 = 5d                Divide both sides by 5

10/5 = 5d/5

d = 2

Since from Mary we have d = t

They will meet in 2 hours.

The rate of change of temperature with time at a point in time is given by

the derivative of the function for the temperature of the soup.

The correct responses are;

Reasons:

a) From the data in the table, we have;

The approximate value of H'(5) is given by the average value of the rate of

change of the temperature with time between points, t = 3, and t = 8

Therefore;

[tex]\displaystyle H'(5) = \mathbf{\frac{H(8) - H(3)}{8 - 3}}[/tex]

Which gives;

[tex]\displaystyle H'(5) = \frac{80 - 67}{8 - 3} = \mathbf{2.6}[/tex]

Therefore, H'(5) = -2.6°C per minute

b) Given that the function is twice differentiable over the interval, 0 ≤ t ≤ 12, the function for the change in temperature is continuous in the interval 0 ≤ t ≤ 12

At t = 0, H(0) = 90 °C

At t = 12, H(12) = 58 °C

Therefore, there exist a temperature, of 60 °C between 90° C and 58 °C

c) The given derivative of C is, [tex]C'(t) = \mathbf{-3.6 \cdot e^{-0.05 \cdot t}}[/tex]

At t = 3, we have;

[tex]The \ slope \ at \ t = 3 \ is \ C'(3) = -3.6 \cdot e^{-0.05 \times 3} \approx -3.1[/tex]

Therefore, we have;

y - 80 ≈ -3.1 × (x - 3)

The equation for the tangent is; y = -3.6 × (x - 3) + 80

y = -3.6·x + 10.8 + 80 = -3.6·x + 90.8

The  value of C(5) is approximately, C(5) ≈ -3.6 × 5 + 90.8 = 72.8

d) Based on the the model above, the rate at which the temperature of the

soup is changing at t = 3 minutes is -3.6 degrees per minute.

Learn more about calculus and concepts here:

https://brainly.com/question/20336420

Answer:

y = -6

x = 1

Step-by-step explanation:

-x + 2y = -13

-x - 2y = 11

Sum the equations:

-x -x = -2x

+2y - 2y = 0

-13 + 11 = -2

then

-2x = -2

x = -2/-2

x = 1

from the first eq.

-x + 2y = -13

-1 + 2y = -13

2y = -13 + 1

2y = -12

y = -12/2

y = -6

check:

from the second eq.

-x -2y = 11

-1 -(2*-6) = 11

-1 -(-12) = 11

-1 + 12 = 11

Answer:

110

Step-by-step explanation:

there is a angle of 70 in the other side is there is a total of 180 and subtract 70 you get 110

Answer:

110

Step-by-step explanation:

Answer:

Assign an identifying variable to the quantity to be found. Write a sentence stating conditions placed on the quantity. Solve the sentence for the variable.

Step-by-step explanation:

can you mark me as brainlist

she will drive 754 miles in 13 hrs.

Answer: Second Choice

Step-by-step explanation:

Answer:

Value of x = 3

m∠HEB=27°

Step-by-step explanation:

1) CEH and HEB are complementary angles, therefore both of their angles added together will be 90 degrees

2) Set the two equations added together equal to 90 and solve for x

19x+6+9x=90

28x=84

x=3

3) Plug in x into 9x to get HEB

9(3)=27

Answer:

First, we need to figure out the number of kilometers.

if 5 cm is equivalent to 125 kilometers in real life this means

1 cm is equivalent to 25 kilometers making the conversion much easier.

36 centimeters multiplied by 25 is 900,  which means in real life the distance between Mr.Tomback's hometown and NYC is 900 kilometers.

900 km ÷ 80 kmh

= 11.25000000

= 11 hours

0.25000000 × 60

= 15.00000000

= 15 minutes

it will take him 11 hours and 15 minutes to get home to NYC

The definition of a quadratic spline is that;

A Quadratic Spline is the creation of a set of polynomial functions that are quadratic and follow the format f(x) = ax² + bx + c.

A Quadratic Spline is simply defined as the creation of a set of polynomial functions that are quadratic, or relatively simple to comprehend and must follow the quadratic function format which is;

f(x) = ax² + bx + c

where;

a, b and c are the values gotten in the process of doing the Splines to create the desired functions.

Read more about quadratic functions at; https://brainly.com/question/1214333

The stocks are worth $ 1396.29 nine months later.

Using the continuous compounding formula,

[tex]A = Pe^{rt}[/tex] where

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

[tex]A = Pe^{rt}[/tex]

[tex]A = 1200e^{0.202 X 0.75}\\A = 1200e^{0.1515}\\A = 1200(1.1636)\\A = 1396.29[/tex]

So, the stocks are worth $ 1396.29 nine months later.

Learn more about continuous compounding here:

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The required value of "k" is 8. Option B is correct

Given the polynomial function

[tex]P(x) =2x^3-4x^2+kx-3[/tex]

What is remainder theorem?

The remainder theorem is a formula used to find the remainder when a polynomial is divided by a linear function.

If  this polynomial has a factor of x - 1 and remainder of 3, hence x = 1 and P(x) = 3. This means that P(1) = 3

[tex]P(1) =2(1)^3-4(1)^2+k(1)-3\\3 = 2-4+k-3\\6 = -2 + k\\k = 8\\[/tex]

Hence the required value of "k" is 8

Learn more on polynomial function  here: https://brainly.com/question/10881257

Answer:

[tex]8\sqrt{2}[/tex]

Step-by-step explanation:

To find the length of an isosceles triangle, you know that the angles of the triangle are 45-45-90, so let's use that triangle theorem.

Therefore, the length of the hypotenuse (BD) is [tex]x\sqrt{2}[/tex], and x is equal to 8 (length of BC).

[tex]x\sqrt{2}[/tex]

x=8

Therefore, [tex]8\sqrt{2}[/tex] would be the length of side BD.

Answer:

oh snap i have this question too sorry cant help :(

Step-by-step explanation:

but i can provide with advice bc is the side down and bd is across us this to your advantage

Answer:

x=-7

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-2-(-5))/(-7-(-7))

m=(-2+5)/(-7+7)

m=3/(0)

undefined

x=-7.

Answer: look at explanation

Step-by-step explanation:

1st question: 48 / 60 = 80 %

2nd : 1/4 of 60 = 15 people

3rd : If 60% is 48 miles, than 10% is 8 miles. Therefore, 100% (his goal) = 80 miles.

4th: 1/4 of 88 = £22

Answer:A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

Option D

Step-by-step explanation:

Step 1:  Determine the correct option

Option A, this option doesn't work because -3.46 is not greater than -2 1/3.  Although the number 3 is greater than 2, these numbers are negative therefore the bigger the negative number, the smaller the number actually is.

Option B, this option doesn't work because 16/5 is not greater than 6.  If we convert 16/5 into a decimal we get 3.2 and this number isn't bigger than 6.

Option C, this option doesn't work because once again it states that -3.46 is greater than -2 1/3 when in reality it's actually smaller.

Option D, this option does work because everything goes according the way it should.  -3.46 is smaller than -2 1/3 and -2 1/3 is smaller than -3/4 and -3/4 is smaller than 16/5 and 16/5 is smaller than 6.

Answer:  Option D

Answer:

brain less or i hack ur acc to ban

Step-by-step explanation:

u cant report me because im hacker

Answer:

B (x-7<-6)

Step-by-step explanation:

x < 1

Answer:

C

Step-by-step explanation:

[tex]a_{1}=-3\\a_{2}=(-3)(-4)-1=12-1=11\\a_{3}=11(-4)-1=-44-1=-45\\a_{4}=-45(-4)-1=180-1=179\\................................................\\[/tex]

Answer: Choice A)   -3, 11, -45, 179, ...

=====================================================

Explanation:

1st term = -3

new term = -4*(previous term) - 1

2nd term = -4*(1st term) - 1

2nd term = -4*(-3) - 1

2nd term = 12 - 1

2nd term = 11

The answer is between choice A and C since both involve "-3, 11" as the first two terms in that order. The only difference between A and C are the outer surrounding curly braces. These braces tell the reader that we have a set of numbers.

When it comes to a set, the order does not matter. Something like {1,2,3} is identical to {3,2,1}. Because of this, we rule out choice C.

On the other hand, order does matter in a sequence. The sequence 1,2,3 is different from 3,2,1.

Answer:

The answer will be 0

Step-by-step explanation:

Let me know Hope it helps