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Diano4ka-milaya [45]
3 years ago
13

15. A birdhouse and the pole that it is on cast a shadow 15 feet long. If a person standing

Mathematics
1 answer:
never [62]3 years ago
4 0

Answer:

12

Step-by-step explanation:

15 feet total amount combined by pole and birdhouse

4 foot tall person makes 5 feet long shadow

5x3=15

4x3=12 so the birdhouse and pole are 12 feet

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The train to Sun City travels 150 miles per hour. How long will a trip take if Sun City is 525 miles away?
Vinvika [58]
525 divided by 150 is 3.5

3.5= 3 hours and 30 mins

answer is b
8 0
3 years ago
Antonio eats 1 slice of pizza in 3 minutes. How long will it take Antonio to eat 4 slices?​
GarryVolchara [31]

Answer:

12 minutes

4*3

That's the answer

8 0
3 years ago
In the geometric progression 1, 2, 4… what term is 512?
Levart [38]

The next term is double the previous term, so that the n-th term is given recursively by

\begin{cases}a_1=1\\a_n=2a_{n-1}&\text{for }n>1\end{cases}

This rule tells us that

a_2=2a_1

a_3=2a_2=2^2a_1

a_4=2a_3=2^3a_1

and so on, with the explicit rule

a_n=2^{n-1}a_1=2^{n-1}

for n\ge1.

If 512 is the k-th term in the sequence, then

512=2^{k-1}\implies\log_2512=\log_22^9=\log_22^{k-1}\implies9=k-1\implies k=10

8 0
3 years ago
Consider the differential equation: y′′−8y′=7x+1. Find the general solution to the corresponding homogeneous equation. In your a
Margaret [11]

Answer:

yp = -x/8

Step-by-step explanation:

Given the differential equation: y′′−8y′=7x+1,

The solution of the DE will be the sum of the complementary solution (yc) and the particular integral (yp)

First we will calculate the complimentary solution by solving the homogenous part of the DE first i.e by equating the DE to zero and solving to have;

y′′−8y′=0

The auxiliary equation will give us;

m²-8m = 0

m(m-8) = 0

m = 0 and m-8 = 0

m1 = 0 and m2 = 8

Since the value of the roots are real and different, the complementary solution (yc) will give us

yc = Ae^m1x + Be^m2x

yc = Ae^0+Be^8x

yc = A+Be^8x

To get yp we will differentiate yc twice and substitute the answers into the original DE

yp = Ax+B (using the method of undetermined coefficients

y'p = A

y"p = 0

Substituting the differentials into the general DE to get the constants we have;

0-8A = 7x+1

Comparing coefficients

-8A = 1

A = -1/8

B = 0

yp = -1/8x+0

yp = -x/8 (particular integral)

y = yc+yp

y = A+Be^8x-x/8

3 0
3 years ago
May I please receive help?
romanna [79]

Answer:

\frac{10}{9}\pi      yards

Step-by-step explanation:

The circumference of this circle = 2πr

                                                     = 8π

We have to find the arc length of 50°, or 50/360 times the circumference of the circle(because there is 360° in a circle)

\frac{50}{360} * 8\pi = \\\\\frac{400\pi}{360} =\\\\ \frac{10\pi}{9}

-Chetan K

3 0
3 years ago
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