Ask question

Ask question

All categories

4 years ago

14

A building has a ramp to its front doors to accommodate the handicapped. If the distance from the building to the end of the ram

p is 25 feet and the height from the ground to the front doors is 7 feet, how long is the ramp? (Round to the nearest tenth.) (5 points)

1 answer:

Deffense [45]4 years ago

3 0

Answer:

25.96 feet

Step-by-step explanation:

see attached

You might be interested in

A tank initially holds 100 gallons of a brine solution containing 1 lb. of salt. At t = 0 another brine solution containing 1 po

Gnoma [55]

Answer:

$\boxed{\text{(a)}A = 100 - 99e^{-t/25}; \,\text{(b) 15 s}}$

Step-by-step explanation:

(a) Expression for mass of salt as function of time

$\text{Let A = mass of salt after t min}\\\text{and }r_{i} = \text{rate of salt coming into talk}\\\text{and }r_{o}$ =\text{rate of salt going out of tank}$

i. Set up an expression for the rate of change of salt concentration.

$\dfrac{\text{d}A}{\text{d}t} = r_{i} - r_{o}\\\\r_{i} = \dfrac{\text{4 gal}}{\text{1 min}} \times \dfrac{\text{1 lb}}{\text{1 gal}} = \text{4 lb/min}\\\\r_{o} = \dfrac{\text{4 gal}}{\text{1 min}} \times \dfrac {A\text{ lb}}{\text{100 gal}} =\dfrac{A}{25}\text{ lb/min}\\\\\dfrac{\text{d}A}{\text{d}t} = 4 - \dfrac{x}{25}$

ii. Integrate the expression

$\dfrac{\text{d}A}{\text{d}t} = \dfrac{100 - A}{25}\\\\\dfrac{\text{d}A}{100 - A} = \dfrac{\text{d}t}{25}\\\\\int \frac{\text{d}A}{100 - A} = \int \frac{\text{d}t}{25}\\\\-\ln(100 - A) = \dfrac{t}{25} + C$

iii. Find the constant of integration

$-\ln (100 - A) = \dfrac{t}{25} + C\\\\\text{At $t$ = 0, $A$ = 1, so}\\\\-\ln (100 - 1) = \dfrac{0}{25} + C\\\\C = -\ln 99$

iv. Solve for A as a function of time.

$\text{The integrated rate expression is}\\\\-\ln (100-A) = \dfrac{t}{25} - \ln 99\\\\\text{Solve for } A\\\\\ln(100 - A) = \ln 99 - \dfrac{t}{25}\\\\100 - A = 99e^{-t/25}\\\\A = \boxed{\mathbf{100 - 99e^{-t/25}}}$

The diagram shows A as a function of time. The mass of salt in the tank starts at 1 lb and increases asymptotically to 100 lb.

(b) Time to 2 lb salt

$A = 100 - 99e^{-t/25}\\\\2 = 100 - 99e^{-t/25}\\\\99e^{-t/25} = 98\\\\e^{-t/25} = 0.989899\\\\-t/25 = -0.01015\\\\t = 25\times 0.01015 =\text{0.25 min = 15 s}\\\\\text{The tank will contain 2 lb of salt after } \boxed{\textbf{15 s}}$

8 0

3 years ago

a local bank reports that 80% of its customers maintain a checking account, 60% have a savings account, and 50% have both. a. if

VMariaS [17]

The Venn probabilities for this problem are given as follows:

a. 0.9 = 90%.

b. 0.1 = 10%.

<h3>What is a Venn probability?</h3>

In a Venn probability, two non-independent events are related with each other, as are their probabilities.

The "or probability" is given by:

$P(A \cup B) = P(A) + P(B) - P(A \cap B)$

For this problem, the events are given as follows:

Event A: Checking account.

Event B: Savings account.

From the text, the probabilities are given as follows:

$P(A) = 0.8, P(B) = 0.6, P(A \cap B) = 0.5$

From item a, the or probability is given as follows:

$P(A \cup B) = 0.8 + 0.6 - 0.5 = 0.9$

There is a 0.9 = 90% probability the customer has either a checking or a savings account.

For item b, <u>none is the opposite of either</u>, hence there is a 1 - 0.9 = 0.1 = 10% probability the customer does not have either a checking or a savings account.

More can be learned about Venn probabilities at brainly.com/question/25698611

#SPJ1

8 0

1 year ago

Please some help me fast

alisha [4.7K]

Answer:

A

Step-by-step explanation:

To find the best equation, we simply substitute the values of a, b, and c into the given equations.

a = 21

b = 5

c = 36

$a=\dfrac{7}{10}b\sqrt{c}$

$21=\dfrac{7}{10}5\sqrt{36}$

$21=\dfrac{7}{10}5(6)$

$21=\dfrac{7}{10}30$

$21=(0.7)30$

$21=21$

8 0

3 years ago

State whether set of ordered pairs represent a function

antoniya [11.8K]

<u>Answer:</u>

No, the given set of pairs does not represent a function

<u>Step-by-step explanation:</u>

For a set of values to be a function, each input must have one and only one output value

Now, for the given set, we can note that:

The input -13 has two output values; 4 and 9

<u>Therefore</u>, this set is not a function

Hope this helps :)

3 0

3 years ago

Use algebra to find the point of intersection of the two lines whose equations are provided. Use Example 7 as a guide.

masya89 [10]

Answer:

y=3

Step-by-step explanation:

8 0

3 years ago