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2 years ago

You counted 28 big dogs and 20 small dogs running around at the park.

Mathematics

1 answer:

AURORKA [14]2 years ago

3 0

Answer:

5:7

Step-by-step explanation:

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Find the indicated term of the given arithmetic sequence. a1=45, d= -3, n=10

klasskru [66]

In this sequence, we're given the first term, which is 45.

The difference between each term is -3, which means 3 will be subtracted in each term.

We're asked to find the value of the tenth term, and we can do so by using this formula:

a(n) = a(1) + d(n - 1)

Replace values.

a(10) = 45 + -3(9)

a(10) = 18

<h3>The value of the tenth term is 18.</h3>

3 0

3 years ago

Read 2 more answers

Write an equation, in point-slope form, for the line that goes through points (4,4) and (-4,-1).

Soloha48 [4]

Answer:

C.) Y= 5/8x + 1 1/2

Step-by-step explanation:

To write the equation of a line, calculate the slope between points (4,4) and (-4,-1). After, substitute the slope and a point into the point slope form.

$m = \frac{y_2-y_1}{x_2-x_1} = \frac{4--1}{4--4}= \frac{5}{8}$

Substitute m = 5/8 and the point (4,4) into the point slope form.

$y - y_1 = m(x-x_1)\\y -4 = \frac{5}{8}(x-4)\\y-4 = \frac{5}{8}x - \frac{20}{8} \\\y = \frac{5}{8}x - 2{1}{2} + 4 \\ y = \frac{5}{8}x + 1\frac{1}{2}$

3 0

3 years ago

7 qt. of a 27% saline solution was mixed

mamaluj [8]

Answer:

24% saline

Step-by-step explanation:

Find how much saline is in both solutions:

7(0.27)

= 1.89

3(0.17)

= 0.51

Add this together:

1.89 + 0.51

= 2.4

Since there are 10 quarts in total, the concentration of the mixture can be found by dividing 2.4 by 10:

2.4/10

= 0.24

So, the concentration of the mixture is 24% saline

4 0

2 years ago

Use a half-angle identity to find the exact value of sinPi/8

stellarik [79]

Answer:

sin(π/8) = (1/2)√(2-√2)

Step-by-step explanation:

Using the half-angle formula ...

$\sin{\dfrac{\theta}{2}}=\sqrt{\dfrac{1-\cos{\theta}}{2}}$

We can let θ = π/4 and simplify the result as follows:

$\sin{\dfrac{\pi}{8}}=\sqrt{\dfrac{1-\cos{(\pi/4)}}{2}}=\sqrt{\dfrac{1-\dfrac{\sqrt{2}}{2}}{2}}=\sqrt{\dfrac{2-\sqrt{2}}{4}}\\\\=\boxed{\dfrac{1}{2}\sqrt{2-\sqrt{2}}}}$

5 0

3 years ago

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A mass weighing 64lb is attached to a spring hanging from the ceiling and comes to rest at its equilibrium position. At time t=0

Oxana [17]

Answer:

The steady state solution of the system is calculated in the diagram below:

5 0

2 years ago