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marissa [1.9K]
3 years ago
10

On a map, the distance between Dallas, TX and Memphis, TN is 57.5 cm. What is the actual distance if the map scale is 1 cm:8 mi.

?
A) 4.6 mi
B) 46 mi
C) 460 mi
D) 4,600 mi
Mathematics
1 answer:
katrin [286]3 years ago
6 0
ANSWER: I’m pretty sure it’s 460 mi
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A rectangular quilt is 5 feet wide and 7 feet long. How many feet of lace are needed to cover the edges of the quit?
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P=2*(5ft +7 ft)
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4 0
3 years ago
Write an equation of the line, in slope intercept form.
DedPeter [7]

Answer:

y = -3x + 6

Step-by-step explanation:

Slope-intercept form:

y = mx + b

m (slope) = \frac{-6}{2} or -3

b (y-intercept, or where the line crosses the y-axis) = 6

y = -3x + 6

4 0
2 years ago
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Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = ln x, [1,7] choose one letter t
inn [45]
ANSWER

B.Yes, f is continuous on [1, 7] and differentiable on (1, 7).

c\approx 3.08

EXPLANATION

The given

f(x) = ln(x)

The hypotheses are

1. The function is continuous on [1, 7].

2. The function is differentiable on (1, 7).

3. There is a c, such that:

f'(c) = \frac{f(7) - f(1)}{7 - 1}

f'(x) = \frac{1}{x}

This implies that;

\frac{1}{c} = \frac{ ln(7) - 0}{6}

\frac{1}{c} = \frac{ ln(7)}{6}

c = \frac{6}{ ln(7) }

c\approx 3.08

Since the function is continuous on [1, 7] and differentiable on (1, 7) it satisfies the mean value theorem.
7 0
3 years ago
A vector with magnitude 9 points in a direction 190 degrees counterclockwise from the positive x axis. Write in component form
Over [174]

Answer:

\vec{v}= \text{ or } \approx

Step-by-step explanation:

Component form of a vector is given by \vec{v}=, where i represents change in x-value and j represents change in y-value. The magnitude of a vector is correlated the Pythagorean Theorem. For vector \vec{v}=, the magnitude is ||v||=\sqrt{i^2+j^2.

190 degrees counterclockwise from the positive x-axis is 10 degrees below the negative x-axis. We can then draw a right triangle 10 degrees below the horizontal with one leg being i, one leg being j, and the hypotenuse of the triangle being the magnitude of the vector, which is given as 9.

In any right triangle, the sine/sin of an angle is equal to its opposite side divided by the hypotenuse, or longest side, of the triangle.

Therefore, we have:

\sin 10^{\circ}=\frac{j}{9},\\j=9\sin 10^{\circ}

To find the other leg, i, we can also use basic trigonometry for a right triangle. In right triangles only, the cosine/cos of an angle is equal to its adjacent side divided by the hypotenuse of the triangle. We get:

\cos 10^{\circ}=\frac{i}{9},\\i=9\cos 10^{\circ}

Verify that (9\sin 10^{\circ})^2+(9\cos 10^{\circ})^2=9^2\:\checkmark

Therefore, the component form of this vector is \vec{v}=\boxed{}\approx \boxed{}

6 0
3 years ago
Which of the following is the solution to the system of equations?
drek231 [11]

Answer:

B (3/4,5/4)

Step-by-step explanation:

y = 2- x

\frac{5}{4}  = 2 -  \frac{3}{4}

y = 3x - 1

\frac{5}{4}  = 3 \times  \frac{3}{4}  - 1

\frac{5}{4}  =  \frac{9}{4}  -  \frac{4}{4}

Hope this helps ^-^

6 0
2 years ago
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