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3 years ago

A scale on a map shows that 2.52.52, point, 5 centimeters represents 151515 kilometers.

Mathematics

1 answer:

Dmitry_Shevchenko [17]3 years ago

5 0

Answer:

105 km

Step-by-step explanation:

Written as a proportion, the ratio of km to cm will be the same for both distances:

(x km)/(17.5 cm) = (15 km)/(2.5 cm)

x km = (15 km)(17.5/2.5) = 105 km

105 actual kilometers are represented by 17.5 cm on the map.

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Help me with these math questions....

Nady [450]

Answer: cotθ

Step-by-step explanation:

tanθ * cos²θ * csc²θ

= $\dfrac{sin\theta}{cos\theta} * \dfrac{cos\theta*cos\theta}{} *\dfrac{1}{sin\theta*sin\theta}$

= $\dfrac{cos\theta}{sin\theta}$

= cotθ

Answer: B

Step-by-step explanation:

The parent graph is y = x²

The new graph y = -x² + 3 should have the following:

reflection over the x-axis
vertical shift up 3 units

Answers:

a. Quadrant II
b. negative
c. $\dfrac{\pi}{6}$
d. C
e. $-\dfrac{\sqrt{3}}{3}$

Explanation:

$\dfrac{17\pi}{6} - \dfrac{12\pi}{6} = \dfrac{5\pi}{6}$

a) Quadrant 2 is: $\dfrac{\pi}{2} < \theta < \pi$

b) In Quadrant 2, cos is negative and sin is positive, so tan is negative

c) $\pi-\dfrac{5\pi}{6}$ = $\dfrac{\pi}{6}$

d) the reference line is above the x-axis so it is negative --> $-tan\dfrac{\pi}{6}$

e) $tan(\dfrac{5\pi}{6})=\dfrac{1}{-\sqrt{3}}=-\dfrac{\sqrt{3}}{3}$

4 0

3 years ago

ou are having a meeting with the CEO of a technology company. You have interpreted the number of laptops produced versus profit

Mama L [17]

Answer: We can plot the graph with help of below explanation.

Step-by-step explanation:

Since, given equation of polynomial,

$P(x) = x^4 - 3x^3 - 8x^2 + 12x + 16$

End behavior : Since, the leading coefficient of the polynomial is positive and even.

Therefore, the end behavior of the polynomial is,

$f(x)\rightarrow -\infty$ as $x\rightarrow -\infty$

And, $f(x)\rightarrow +\infty$ as $x\rightarrow +\infty$

Points of the curve : since, P(4) = 0

Therefore, (x-4) is the multiple of P(x),

And we can write, $x^4 - 3x^3 - 8x^2 + 12x + 16= (x-4)(x^3+x^2-4x-4)$

$x^4 - 3x^3 - 8x^2 + 12x + 16=(x-4)(x+1)(x^2-4)$

$x^4 - 3x^3 - 8x^2 + 12x + 16= (x-4)(x+1)(x+2)(x-2)$

Thus, the roots of equation are 4, 2, -1 and -2.

Therefore, x-intercepts of the polynomial are (4,0) (2,0) (-1,0) and (-2,0)

Also, the y-intercept of the polynomial is ( 0,16)

Thus, we can plot the graph with help of the above information.

4 0

4 years ago

. Find the value of $1,300 invested at 4.2% interest compounded continuously for 5 years, 9 months. Round your final answer to t

BARSIC [14]

The formula we use for continuous compounding is $A=Pe ^{rt}$ where P is the initial amount invested, r is the rate as a decimal, and t is time in years. Our P = 1300, our r = .042, and our t = 5.75 (9 months is 3/4 of a year, and 3/4 in a decimal is .75). Putting all that into our formula we have $A=1300(2.718) ^{(.042)(5.75)}$ . We have to multiply those 2 powers together and then raise euler's number to it, then multiply by 1300. Doing all of that, we get the amount at the end to be $1,655.10

5 0

3 years ago

Helppp please im confused a bit

fredd [130]

So for this one, all you have to do is plot the points it's giving you :)

Then you connect the lines and you get a shape from A-b-c-d

4 0

3 years ago

Find the slope of (17, 11)(5,0)

Genrish500 [490]

Answer:slope= 0.9 approximately

Step-by-step explanation:

Slope=y-y/x-x

=0-11/5-17

=11/12

=0.9 approximately to nearest one decimal

6 0

3 years ago