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2 years ago

4. The manager of a furniture store bought 25 vases at a total cost of

Mathematics

2 answers:

Marysya12 [62]2 years ago

8 0

B is the correct answer

Kamila [148]2 years ago

5 0

The answer is D. 25

All that was need to be done was to divide

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Find the value(s) of x where the tangent to the graph of y=e^5x is parallel to the

Alik [6]

Answer:

There are none.

Step-by-step explanation:

No calculus involved:

The line, in slope-intercept form, has equation $y=-10x+17$ , ie is always decreasing (easy to spot applying the definition)

Meanwhile, $y=e^{5x}$ is always increasing over its domain.

At no point the tangent will be decreasing.

Let's use calculus

We are to solve the equation $y'(x) = -10 \rightarrow 5e^{5x} = -10 \rightarrow e^{5x}=-2$ which has no real solutions.

8 0

2 years ago

The graph of a proportional relationship contains the point (-30, 18)

Elena L [17]

Answer:

$k=-\frac{3}{5}$

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $k=\frac{y}{x}$ or $y=kx$

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

we have the point (-30,18)

x=-30, y=18

Find the value of k

$k=\frac{y}{x}$

substitute

$k=\frac{18}{-30}$

Simplify

Divide by 6 both numerator and denominator

$k=-\frac{3}{5}$

4 0

3 years ago

Evaluate this exponential expression (27/8)^ 4/3 A: 9/2 B: 4/3 C: 81/16

valkas [14]

$\bf ~\hspace{7em}\textit{rational exponents} \\\\ a^{\frac{ n}{ m}} \implies \sqrt[ m]{a^ n} ~\hspace{10em} a^{-\frac{ n}{ m}} \implies \cfrac{1}{a^{\frac{ n}{ m}}} \implies \cfrac{1}{\sqrt[ m]{a^ n}} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \left( \cfrac{27}{8} \right)^{\frac{4}{3}}\implies \left( \cfrac{3^3}{2^3} \right)^{\frac{4}{3}}\implies \left( \cfrac{3^{3\cdot \frac{4}{3}}}{2^{3\cdot \frac{4}{3}}} \right)\implies \cfrac{3^4}{2^4}\implies \cfrac{81}{16}$

7 0

3 years ago

John mows 247 square feet of lawn per minute. how many square yards of lawn does he mow per hour?

Black_prince [1.1K]

1647. 1 hour=60 minutes. John can mow 247 square feet per minute, so he can mow 60*247=14820 square feet per hour. 1 yard=3 feet, so 1 square yard =3^2=9 square feet, so in the same duration of time, John can mow 14820/9=1647 square yards (approximately) per hour.

6 0

3 years ago

A car weighs 2332 pounds. If 372 pounds of old parts are removed and replaced with 412 pounds of new parts, find new weights of

Makovka662 [10]

Answer:

2372

Step-by-step explanation:

You would do the equation 2332-372+412

5 0

2 years ago