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3 years ago

A_n=59-3(n-1), 1,2,3... Find the first four terms of the sequence given by the following

Mathematics

1 answer:

lawyer [7]3 years ago

6 0

9514 1404 393

Answer:

59, 56, 53, 50

Step-by-step explanation:

Use n = 1 through 4 and evaluate.

a1 = 59 -3(0) = 59

a2 = 59 -3(1) = 56

a3 = 59 -3(2) = 53

a4 = 59 -3(3) = 50

The first four terms are 59, 56, 53, 50.

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How much cashews at $1.58 per pound must be mixed with walnuts that cost 78 cents per pound to make a mixture of 40 pounds of nu

Likurg_2 [28]

Number of pounds of cashews is 36 pounds and number of pounds of walnuts is 4 pounds.

Step-by-step explanation:

Step 1: Given details are cost of cashews = $1.58, cost of walnuts = 78 cents = $0.78, total weight of nuts = 40 pounds, cost of nuts per pound = $1.50

Step 2: Let number of pounds of cashews to be mixed be C, then number of pounds of walnuts will 40 - C. Form equation with these variables.

⇒ 1.58 C + (40-C) 0.78 = 40 × 1.50

⇒ 1.58 C + 31.2 - 0.78 C = 60

⇒ 1.58 C - 0.78 C = 60 - 31.2

⇒ 0.8 C = 28.8

⇒ C = 36 pounds

Step 3: Calculate number of pounds of walnuts

⇒ Number of pounds of walnuts = 40 - C = 4 pounds

5 0

3 years ago

Read 2 more answers

In the diagram, BC⎯⎯⎯⎯⎯∥DE⎯⎯⎯⎯⎯ .

RUDIKE [14]

The length of AE is $18in$

Explanation:

From the figure, we can see that the two triangles ΔAED and ΔACB are similar. Thus, the legs of the triangle are proportional to each other.

Thus, we have,

$\frac{EC}{DB} =\frac{AE}{AD}$

Substituting the values of the sides from the image, we get,

$\frac{3}{1} =\frac{AE}{6}$

Multiplying both sides of the equation by 6, we get,

$6(3)=AE$

Multiplying, we have,

$18=AE$

Thus, the length of AE is $18in$

7 0

3 years ago

Please answer this for me. Please. I'll mark whoever answers as brainliest.

zysi [14]

Answer:

C) 60 ft

Step-by-step explanation:

From any dot in the graph you can figure out the speed.

Let's take the one at 2 minutes, because it is on a grid point.

That one tells us that in 2 minutes, the animal travels 40 feet.

That means in 1 minute, it travels half that, i.e., 20 feet.

So in 3 minutes it will travel 20*3=60 feet.

4 0

3 years ago

In the figure to the right, if AC=19 and BC=16, what is the radius? *For a circle*

ch4aika [34]

Answer:

The radius of the circle is 10.2 units

Step-by-step explanation:

The complete question is

In the figure to the right, if AC=19 and BC=16, what is the radius?

A circle has center A. Points B and D are on the circle, with B on the left and D near the bottom. Point C lies outside the circle such that the line segment A C passes through point D and the line segments A B and B C form a right angle.

The radius is approximately (Round to the nearest tenth as needed.)

The picture of the question in the attached figure

we know that

In the right triangle ABC

Applying the Pythagorean Theorem

$AC^2=AB^2+BC^2$

substitute the given values

$19^2=AB^2+16^2$

solve for AB

$AB^2=19^2-16^2$

$AB^2=105\\AB=10.2\ units$

Remember that the radius is the same that the segment AB

therefore

The radius of the circle is 10.2 units

6 0

3 years ago

10x + 7y = -3 5x - y = 3

rodikova [14]

If this is a system of equations then:
Multiply 5x-y=3 by -2
=> -10x+2y=-6
Now you sum the equations:
10x-10x+7y+2y=-3-6
=> 9y=-9
Then just divide by 9: y=-1
Now to get x, choose one of the equations and use the value we got from y:
5x-(-1)=3 => 5x+1=3 => 5x=3-1
=> 5x=2
=> x=2/5

(x,y)=(2/5, -1)

5 0

3 years ago