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2 years ago

You save 15 a week. How much will you have saved after w weeks? Answer construct a verbal model

Mathematics

1 answer:

liraira [26]2 years ago

3 0

Answer:

With every week you save, 15 more dollars are added into your savings.

Step-by-step explanation:

$\left[\begin{array}{ccc}15(1)=15&15(2)=30&15(3)=45\\15(4)=60&15(5)=75&15(6)=90\\15(7)=105&15(8)=120&15(9)=135\end{array}\right]$

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The distance between Capeton and Jonesville is 80 miles. The scale on the map is 0.75 in. : 10 miles. How far apart are the citi

Mnenie [13.5K]

The answer to this question is 6 in. Hope this helps.

7 0

3 years ago

the eccentricity of a hyperbola is defined as e=c/a. find an equation with vertices (1,-3) and (-3,-3) and e=5/2

Ksivusya [100]

Answer:

$\frac{(x + 1 )^{2} }{4} - \frac{(y + 3 )^{2} }{21} = 1$ .

Step-by-step explanation:

If (α, β) are the coordinates of the center of the hyperbola, then its equation of the hyperbola is $\frac{(x - \alpha )^{2} }{a^{2} } - \frac{(y - \beta )^{2} }{b^{2} } = 1$ .

Now, the vertices of the hyperbola are given by (α ± a, β) ≡ (1,-3) and (-3,-3)

Hence, β = - 3 and α + a = 1 and α - a = -3

Now, solving those two equations of α and a we get,

2α = - 2, ⇒ α = -1 and

a = 1 - α = 2.

Now, eccentricity of the hyperbola is given by $b^{2} = a^{2}(e^{2} - 1) = 4[(\frac{5}{2} )^{2} -1] = 21$ {Since $e = \frac{5}{2}$ given}

Therefore, the equation of the given hyperbola will be

$\frac{(x + 1 )^{2} }{4} - \frac{(y + 3 )^{2} }{21} = 1$ . (Answer)

6 0

2 years ago

2. A two-stage rocket is in development. The required probability is for the overall rocket to be a minimum of 97% reliable for

ikadub [295]

Answer: The minimum reliability for the second stage be 0.979.

Step-by-step explanation:

Since we have given that

Probability for the overall rocket reliable for a successful mission = 97%

Probability for the first stage = 99%

We need to find the minimum reliability for the second stage :

So, it becomes:

P(overall reliability) = P(first stage ) × P(second stage)

$0.97=0.99\times x\\\\\dfrac{0.97}{0.99}=x\\\\0.979=x$

Hence, the minimum reliability for the second stage be 0.979.

4 0

3 years ago

Identify the correct units to express the following idea.

hammer [34]

The units that we should use are gallons per day, we get:

$r = 2.4\frac{gallons}{day}$

<h3>Which units should we use?</h3>

We want to express the fact that every day you use 2.4 gallons of gasoline.

So we have two types of units in the above sentence, time (in days), and volume (of the gasoline consumed).

Then we conclude that the units that we should use is volume over time, particularly, gallons per day.

So we can represent that measure as:

$r = 2.4\frac{gallons}{day}$

If you want to learn more about units:

brainly.com/question/1972490

#SPJ1

8 0

2 years ago

What is the value of (f-g)(7)?<br>f(x)=2+x;g(x)=x^2+5<br>(f-g)(7)=[1]

Sav [38]

Answer:

Alright so on this type of problem you just perform the operation they ask for, which in this case is subtraction.

Your first step will be to set up the problem:

f(x) - g(x)

Next you will substitute in your values:

(2x + 1) - (x2 - 7)

The easiest way to do the subtraction problems is to distribute your negative into your second set of parenthesis, so your expression would become:

2x + 1 - x2 + 7

Then combine your like terms:

2x - x2 + 8

Lastly put your expression in standard form (highest exponent to lowest)

-x2 + 2x + 8

Hope this helped!

Step-by-step explanation:

8 0

3 years ago