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3 years ago

What is the vertical clearance 2 m from the edge of the tunnel?

Mathematics

1 answer:

raketka [301]3 years ago

4 0

When x=0 y=50 when y=0 x=+\-5. -x^2 makes the parabola open downward y(x)=2x^2+50;y(3)=2*9+50=32

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Algebra 1!!! I need help ASAP!!

vesna_86 [32]

To understand the algebra, go through the following equations below:

First the thing to note is that the top square is the square of the bottom square: Stage 1: 1 & $1^{2}$ , stage 2 = 2 & $2^{2}$ , stage 3 = 3 & $3^{2}$
Second image: Just add the two values above to get the total of tiles needed. For stage 5: 5 + $5^{2}$ = 30, Stage 12: 12 + $12^{2}$ = 156

Part B

First equation : y = $n^{2}$ + n

second equation: y = n + (n*n)

<h3>Meaning of algebra</h3>

Algebra is defined as a branch of mathematics that deals with variables, symbols and finding of these unknown using arithmetic operation such as ( +, -, *, ÷ )

Algebra is the study and understanding of mathematical symbols and how to manipulate them in mathematical problems and formulae.

In conclusion, the above are the solution to the questions on the attached image.

Learn more about algebra: brainly.com/question/22399890

#SPJ1

5 0

2 years ago

Delta makes 12-volt car batteries. These batteries are known to be normally

blondinia [14]

Answer:

The probability that Delta car batteries last between three and four years

P(36≤X≤48) = 0.5188

The percentage of that Delta car batteries last between three and four years

P(3≤X≤4) = 52%

Step-by-step explanation:

Step(i):-

Given that the sample size n =12 -volt car batteries

Let 'X' be a Random variable in a normal distribution

Given that mean of the normal distribution = 45 months

Given that the Standard deviation of the normal distribution = 8months

Step(ii):-

Let X₁ = 3 years = 12 × 3 = 36 months

$Z_{1} = \frac{x_{1} -mean}{S.D} = \frac{36-45}{8} = -1.125$

Let X₂ = 4 years = 12 × 4 = 48 months

$Z_{2} = \frac{x_{2} -mean}{S.D} = \frac{48-45}{8} = 0.375$

Step(iii):-

The probability that Delta car batteries last between three and four years

P(36≤X≤48) = P(-1.125≤Z≤0.375)

= P(Z≤0.375) - P(Z≤-1.125)

= 0.5 +A(0.375) - (0.5-A(1.125)

= 0.5 + 0.1480 - (0.5 -0.3708)

= 0.1480 + 0.3708

= 0.5188

Final answer:-

The probability that Delta car batteries last between three and four years

P(36≤X≤48) = 0.5188

The percentage of that Delta car batteries last between three and four years

P(3≤X≤4) = 52%

5 0

3 years ago

Which equation represents y = −x2 + 6x + 7 in vertex form? y = −(x + 3)2 + 4 y = −(x − 3)2 + 10 y = −(x + 3)2 + 2 y = −(x − 3)2

Colt1911 [192]

$\text{The vertex form:}\ y=a(x-h)^2+k\\\\f(x)=ax^2+bx+c\to h=\dfrac{-b}{2a},\ k=f(h)\\\\\text{We have}\ y=-x^2+6x+7\to f(x)=-x^2+6x+7\\\\a=-1,\ b=6,\ c=7\\\\h=\dfrac{-6}{2(-1)}=\dfrac{-6}{-2}=3\\\\k=f(3)=-3^2+6(3)+7=-9+18+7=16\\\\Answer:\ \boxed{y=-(x-3)^2+16}$

8 0

3 years ago

A flying disc was originally marked at 5$ and has been sold at $3.50. What was the percent of discount?

Otrada [13]

Answer:

30%

Step-by-step explanation:

Percentage discount

$= \frac{discount}{original \: price} \times 100\% \\ = \frac{5 - 3.50}{5} \times 100\% \\ = 30\%$

☆ Discount= original price -selling price

7 0

3 years ago

I am a number. I am the

LenaWriter [7]

Answer:

Step-by-step explanation:

to find side length of squares take square root of areas

first square side length: 9

second square side length: 6

difference between 9 and 6 is subtraction, 9-6=3

4 0

3 years ago