answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
mario62 [17]
2 years ago
9

The length of the completed tunnel can be calculated using the equation . If the project will be completed 86 days after the TBM

was introduced, the length of the completed tunnel will be feet.
Mathematics
1 answer:
bazaltina [42]2 years ago
3 0
The y - intercept of an equation is the value of y when x is substituted with zero. From the given equation,
y = 25x + 225
Substituting,
y = (25)(0) + 225
y = 225
Thus, the y - intercept of the given equation is 225.
You might be interested in
.The conversion of square feet to square yards can be represented by direct variation. Three square yards are equivalent to 27 s
Citrus2011 [14]

Answer:

The constant of variation is 1/9

The equation representing the direct variation is y/x= 1/9

Step-by-step explanation:

In direct variation, y/x=k denotes the equation, with k being the constant of variation. Here, y is the number of square yards and x is the number of square feet. Therefore, as we know that 27 square feet = 3 square yards, we can write one point (x₁, y₁) as (27 square feet, 3 square yards). Plugging x₁ and y₁ into our equation, we get

y/x = k

3 / 27 = k

(3/27) / (3/3) = 1/9* = k

Therefore, the constant of variation is 1/9

Next, as stated previously, y/x = k represents the equation of direct variation. Therefore, y / x = 1/9 as our equation

* because 3 is a factor of both 3 and 27, we can divide both the numerator and denominator by 3 to keep the fraction the same but also simplify it. One way to find the greatest common factor is to list the factors of each number and see the highest number that is a factor of both

5 0
1 year ago
Marla made an error when solving the equation shown. What was her error ,and how should she fix it?
AleksandrR [38]

In Step 1, she used the Distributive Property incorrectly. She should have distributed the 3 to the 2. The equation should have been

3x + 6 + 1 = 24.

8 0
2 years ago
Ella purchased a game that was on sale for 12% off. The sales tax in her county is 6%. Let y represent the original price of the
klio [65]

Answer:

The expression that can be used to determine the final cost of the game is

1.06(0.88 y) ⇒ (C)

Step-by-step explanation:

  • If the price of an item is discounted, that mean its new price will be less its initial price
  • The taxes on item, makes its new price greater than the initial price because tax is add

Let us solve the problem

∵ Ella purchased a game that was on sale for 12% off

→ That means the new price will (100% - 12%) of the initial price

∵ y represented the initial price of the game

→ Multiply y by (100% - 12%) to get the new price

∴ The new price = y (100% - 12%)

∴ The new price = y (88%)

→ Change 88% to normal number by divide it by 100

∴ The new price = y (\frac{88}{100})

∴ The new price = 0.88 y

∵ The sales tax in her county is 6%

→ That means the final cost will be (100% + 6%) of 0.88 y

∴ The final cost = (100% + 6%) × (0.88 y)

∴ The final cost = 106% × (0.88 y)

→ Change 106% to normal number by divide it by 100

∴ The final cost = \frac{106}{100} × (0.88 y)

∴ The final cost = 1.06(0.88 y)

The expression that can be used to determine the final cost of the game is 1.06(0.88 y)

4 0
1 year ago
Suppose that water is pouring into a swimming pool in the shape of a right circular cylinder at a constant rate of 8 cubic feet
adell [148]

Answer:

dh/dt = 0,07 ft/min

Step-by-step explanation:

The swimming pool has the shape of right circular cylinder, therefore its volume is

V(c) = π*x²*h

Where x is the radius of the base and h the height

We take differentiation on both sides of the equation to get:

dV/dt  =  π*x²*dh/dt

The rate of change in height of water in the pool, is independent of the height of the water, since the pool is a right crcular cylinder, and dV/dt is constant at 8 ft³/min.

Then:

8  = π*x²*dh/dt

dh/dt = 8 /  π*x²

dh/dt = 8/113,04

dh/dt = 0,07 ft/min

7 0
2 years ago
Which figure represents the image of trapezoid LMNP after a reflection across the x-axis? figure A figure B figure C figure D
Andrews [41]

Answer:

figure A

Step-by-step explanation:

it’s in the same cordinates but reflected across the x axis

4 0
1 year ago
Read 2 more answers
Other questions:
  • maria was preparing the oven to bake brownies. the recipe's direction was to pre-heat the oven to 350 F but her oven thermometer
    7·1 answer
  • The human eye blinks about 6.25x10 to the 6th power times each year. A seal blinks about 1.01x10 to the 3rd power times per year
    11·1 answer
  • List at least three (3) characteristics of carbon that make it a unique element.
    15·2 answers
  • Ravi's age is double Ranu's age. The product of their ages in years is 72. How old is Ranu?
    9·1 answer
  • In parallelogram WXYZ, WY = 12 in., XZ = 16 in., WX = 10 in., and XY = 9 in. What is the length of line segment MX? 6 in. 7 in.
    6·2 answers
  • Find x. Round your answer to the nearest tenth of a degree.
    8·2 answers
  • What is the value of x?
    13·1 answer
  • In ΔSTU, the measure of ∠U=90°, TU = 6.6 feet, and US = 2.3 feet. Find the measure of ∠S to the nearest tenth of a degree.
    11·2 answers
  • A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to build and 4 hours to test.
    14·1 answer
  • Drew drives his car and Rachel drives her truck in the same direction on the highway at constant speeds for 3.25 hours. During t
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!