Three numbers form an arithmetic sequence whose
common difference is 3. If the first number is
increased by 1, the second increased by 6, and
the third increased by 19, the resulting three
numbers form a geometric sequence. Determine
the original three numbers.

Answer:

Step-by-step explanation:

slope of line through (0,0) and (4,3) =(3-0)/(4-0)=3/4

eq. of line is y-0=3/4(x-0)

y=3/4 x

put x=4

y=2

2=3/4×4

2=3

which is true if 2<3

2<3

so y<3/4 x

Answer:

Blablabla

Step-by-step explanation:

Bababa

Answer:

The solution according to the problem given is provided below in the explanation segment.

Step-by-step explanation:

According to the question,

[tex]H_o: \mu_1=\mu_2[/tex]

[tex]H_a: \mu_1 \neq \mu_2[/tex]

Level of significance,

[tex]\alpha = .05[/tex]

The test statistics will be:

⇒ [tex]Z = \frac{(\bar x_1 - \bar x_2)}{\sqrt{\frac{\sigma_1^2}{n_1} +\frac{\sigma_2^2}{n_2} } }[/tex]

       [tex]=\frac{(38-35)}{\sqrt{\frac{(3)^2}{30} +\frac{(5)^2}{30} } }[/tex]

       [tex]=2.82[/tex]

The p-value will be:

= [tex]0.0024[/tex]

Step-by-step explanation:

With this kind of problem, we're looking at an equation in the form

y - y1 = m(x - x1)

(m = slope)

so we can substitute m, y1, and x1 with the values we're given.

y - y1 = m(x - x1)

y - 1/3 = 3/4(x - 4)

Answer:

y - 1/3 = 3/4(x - 4)

Answer:

The answer is below

Step-by-step explanation:

Let x represent the length of each of the equal piece of yarn. Since they are 4 equal pieces of yarn, then the total length of the equal pieces of yarn = 4x.

Also, besides cutting the 4 equal pieces of yarn Julie further cuts a yarn 7.75 inches long, therefore if y represent the total length of all the yarn that she ends up cutting, hence:

y = 4x + 7.75

Since the graph produced by this equation have all points connected to each other, hence this is a continuous graph.

Answer:

C A quadrilateral is both a rectangle and a rhombus

9514 1404 393

Answer:

  34.88 feet

Step-by-step explanation:

The relevant trig relation is ...

  Cos = Adjacent/Hypotenuse

We want to find the length of the side adjacent to the measured angle. The hypotenuse is the ladder length.

  cos(29.32°) = distance/(40 ft)

  distance = (40 ft)cos(29.32°) ≈ 34.876°

The base of the ladder is about 34.88 feet from the building.

_____

Additional comment

It extends about 19.59 feet up the side of the building.

Answer:

The answer is 82.2  

Step-by-step explanation

hope this helps

Answer:

110000/8π

Step-by-step explanation:

Divide 1100000 by 80 and cancel 0. Then divide pi

Step-by-step explanation:

70 + 45 = 115

180 - 115 = 65

angle c = 65

use sohcahtoa

cos angle = adjacent

hypotenuse

cos 65 = 2.5

b

b cos 65 = 2.5

use the calc for further answers

hope that helped

9514 1404 393

Answer:

  an = 10 -6(n -1)

Step-by-step explanation:

The series is an arithmetic series with a first term of 10, and a common difference of 4-10 = -6. The n-th term of an arithmetic series is given by ...

  an = a1 +d(n -1) . . . . . for first term a1 and common difference d

__

For the parameters this series has, the n-th term is ...

  an = 10 -6(n -1)

Answer:

V = 108 ft³

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Geometry

Volume of a Rectangular Prism Formula: V = lwh

Step-by-step explanation:

Step 1: Define

Identify variables

l = 4 ft

w = 3 ft

h = 9 ft

Step 2: Find Volume

Answer:

2

Step-by-step explanation:

let x be the third side

Using Pythagoras' identity in the right triangle

x² + 5² = ([tex]\sqrt{29}[/tex] )²

x² + 25 = 29 ( subtract 25 from both sides )

x² = 4 ( take the square root of both sides )

x = [tex]\sqrt{4}[/tex] = 2

The input of the experiment is the amount of dose of the drug and the output is the growth rate of the cancerous tumor.

Given information:

A medical researcher is using rats to do an experimental test to determine the appropriate dosage for a new cancer drug.

Each rat will be given a different dosage of the drug.

The oncologist will then measure the growth rate of the cancerous tumor.

Now, in the experiment, the oncologist tries to study or calculate the growth rate of a cancerous tumor. So, the output that he/she will get will be the growth rate of the cancerous tumor.

The experiment is done on the rate by giving them a dosage of the drug. The dosage can vary based on the study criterion. So, the amount of dosage of the drug should be the input of the experiment.

Therefore, the input of the experiment is the amount of dose of the drug and the output is the growth rate of the cancerous tumor.

For more details, refer to the link:

https://brainly.com/question/5527886

Explanation:

There are 20 choices for president, and 20-1 = 19 choices for vice president. You count down by 1 each time you fill a seat. So that means you'll have 19-1 = 18 choices for the third seat, and 18-1 = 17 choices for the fourth seat.

Answer:

The sample proportion of students who prefer vanilla ice cream is 0.56.

Step-by-step explanation:

Sample proportion of students who prefer vanilla ice cream:

Sample of 375 students.

Of those, 210 said they prefer vanilla ice cream.

The proportion is:

[tex]p = \frac{210}{375} = 0.56[/tex]

The sample proportion of students who prefer vanilla ice cream is 0.56.

Answer:

49,050cents

Step-by-step explanation:

Given the expression for calculating the marginal cost per card of producing x note cards expressed as

C'(x) = -0.05x + 77

On intergrating the marginal cost, we will get the total cost

C(x) =  -0.05x²/2 + 77x

Substitute x = 900 into the resulting expression

C(900) =  -0.05(900)²/2 + 77(900)

C(900) = -20,250+69,300

C(900) = 49,050

Hence the total costs in cents is 49,050cents

Answer:

Individual is represented by a single point

Step-by-step explanation:

Answer:

Step-by-step explanation:

The answer is B

if you have 2^3 * 2*4 to find out what that equals, leave the base (2) alone and add the powers. You get 2^(3 + 4) = 2^7

Let's see if that works.

2^3 = 8

2^4 = 16

8 * 16 = 128

Now what is 2^7?

2^7 = 128 just as it should

Now returning to your question

3^7.869 = answer B You leave the base alone (7) and add the powers. The 8 is 8/10

The 6 is 6/100

The 9 is 9 / 1000 Just add the fractions and keep the 7 and the 3.

Answer:

ur box cannot be opend  repain the window

Step-by-step explanation:

please mark this answer as brainlist

Answer: 46.26

Step-by-step explanation:

Since it is a square the sides are all the same, and since it’s a half circle, the dashed line is the diameter of the circle. To find the circumference on a circle, the equation is diameter times pi. 3.14 is commonly used for pi which is what I’m using 3.14, but of you are told to use a different number use that. 9*3.14 is 28.26. Since ther are exactly two half circles in the diameter, here’s no point in dividing by 2. The rest of the perimeter are just 2 sides of the square. So 9+9+28.26 is 46.26.

Answer:

B.17

Step-by-step explanation:

B.17

B.17

B.17

B.17

Answer:

1 and 2

Step-by-step explanation:

Let's say our first number is x. Our second number is the number after that, or x+1. A reciprocal of a number is 1/that number. Therefore, the reciprocal of x is 1/x and the reciprocal of x+1 is 1/(x+1). The question states the sum of the reciprocals of the two numbers is equal to 3/2. Therefore,

1/x + 1/(x+1) = 3/2

multiply both sides by 2 to remove a denominator

2/x + 2/(x+1) = 3

multiply both sides by x to remove a denominator

2 + (2*x)/(x+1) = 3x

multiply both sides by (x+1) to remove the other denominator

2*(x+1) + 2*x = 3x*(x+1)

expand

2*x+2 + 2*x = 3x²+3

combine like terms

4x + 2 = 3x²+3

subtract (4x+2) from both sides to make everything equal to 0 and to form a quadratic

3x² - 4x + 1 = 0

To factor this, we need to find two numbers that add up to b and multiply to a*c in an equation of form ax²+bx + c. Here, a=3, c=1, and b = -4

Two numbers that add to -4 and multiply to 3*1=3 are -3 and -1. We can thus factor this out to get

3x²-3x-x+1 = 0

3x(x-1) -1 ( x-1) = 0

(3x-1)(x-1) = 0

Therefore, solving for 0, we get

3x-1=0

x = 1/3

x-1 = 0

x=1

The only integer solution possible is x=1

To confirm, 1/1 + 1/(1+1) = 3/2, so x=1 is correct, with 1+1=2 being the second integer

9514 1404 393

Answer:

  184 m

Step-by-step explanation:

The direct distance from Kayla's car (C) to the door of her office building (B) can be found using the Law of Cosines. The interior angle of the triangle at the turning point is 180° -30° = 150°, so the distance is ...

  t² = b² +c² -2bc·cos(T)

  t² = 80² +100² -2·80·100·cos(150°) = 30256.406

The direct distance from her window to the car can be found from the Pythagorean theorem. The legs of the right triangle are the distance from the car to the building (CB) and the height from the building entrance to the window (BW).

  CW = √(t² +60²) ≈ 184.001

The direct line distance from Kayla to her car is 184 meters.

_____

For the first computation, we used the usual notation for a triangle, where capital letters (CTB) are the vertices and angles, and corresponding lower-case letters are their opposite sides.

Answer:

[tex]P(x = 1) = 0.33[/tex]

[tex]P(y = 2) = 0.42[/tex]

Step-by-step explanation:

Given

                    y

x [tex]\begin{array}{cccc}P(x,y) & {0} & {1} & {2} & {0} & {0.10} & {0.03} & {0.02} & {1} & {0.06} & {0.20} & {0.07} & {2} & {0.05} & {0.14} & {0.33}\ \end{array}[/tex]

Solving (a)

[tex]P(x = 1)[/tex]

To do this, we simply add all data where x = 1

So, we have:

[tex]P(x = 1) = P(x=1|y=0) + P(x=1|y=1) + P(x=1|y=2)[/tex]

[tex]P(x = 1) = 0.06 + 0.20 + 0.07[/tex]

[tex]P(x = 1) = 0.33[/tex]

Solving (b)

[tex]P(y = 2)[/tex]

To do this, we simply add all data where y = 2

So, we have:

[tex]P(y = 2) = P(x=0|y=2) + P(x=1|y=2) + P(x=2|y=2)[/tex]

[tex]P(y = 2) = 0.02 + 0.07 + 0.33[/tex]

[tex]P(y = 2) = 0.42[/tex]

Answer:

your answer should be six I hope this help

Answer:

the should be 6

Step-by-step explanation:

(2-3)(-6)

-12+18

=6

Answer:

1.5 meters

Step-by-step explanation:

You need to use circumference for this problem and the formula is dπ.

Plug in:

24π

Solve with pi:

24×3.14 = 75.36

Since there is two clocks, multiply:

75.36 × 2 = 150.72

In 1 meter there is 100 centimeters so divide

150.75 ÷ 100 = 1.5

So you will need 1.5 meters of ribbon.

f(x)g(x) if you find the derivative of two products, you get f(x)g’(x)+f’(x)g(x). Let’s say x^2 = f(x).

(x^2)(g’(x))+2x(g(x)) so it would be your last option, 2x(g(x))+x^2(g’(x))

Recall the double angle identity for cosine:

cos(x) = cos(2×x/2) = 1 - 2 sin²(x/2)

Then the equation can be rewritten as

sin(x/2) + (1 - 2 sin²(x/2)) - 1 = 0

sin(x/2) - 2 sin²(x/2) = 0

sin(x/2) (1 - 2 sin(x/2)) = 0

sin(x/2) = 0   or   1 - 2 sin(x/2) = 0

sin(x/2) = 0   or   sin(x/2) = 1/2

[x/2 = arcsin(0) + 360n °   or   x/2 = 180° - arcsin(0) + 360n °]

… …   or   [x/2 = arcsin(1/2) + 360n °   or   x/2 = 180° - arcsin(1/2) + 360n °]

x/2 = 360n °   or   x/2 = 180° + 360n °

… …   or   x/2 = 30° + 360n °   or   x/2 = 150° + 360n °

x = 720n °   or   x = 360° + 720n °

… …   or   x = 60° + 720n °   or   x = 300° + 720n °

(where n is any integer)

We get only three solutions in 0° ≤ x < 360° :

720×0° = 0°

60° + 720×0° = 60°

300° + 720×0° = 300°

Answer:

B: (0, 60, 300)

Step-by-step explanation:

right on edge

Answer:

8+2x-2 = 5

2x+6 =5

2x = -1

Step-by-step explanation:

8+2(x-1)=5

Distribute

8+2x-2 = 5

Combine like terms

2x+6 =5

Subtract 6

2x+6-6=5-6

2x = -1