Paul creates a CD by mixing together
songs that are either 3 minutes or
4 minutes long. His CD has 22 songs
and is 78 minutes long. How many
three-minute and how many four-minute
songs did he use?

The expression 2^7 times 19 can be simplified by first evaluating the exponential term, 2^7, which is equal to 128. Therefore:2^7 times 19 = 128 * 19We can then evaluate the product of 128 and 19 using multiplication. When we do that, we get:2^7 times 19 = 2432Therefore, the choice that is equivalent to the expression 2^7 times 19 is 2432

Answer:

See below

Step-by-step explanation:

Answer:

x-intercept: 15

y-intercept: -6

The slope is positive because 2/5 (the slope) is positive.

Step-by-step explanation:

The x-intercept is where the line crosses the x-axis.

The y-intercept is where the line crosses the y-axis.

Thus, beginning with a 1 = 5, the formula a n = a n-1 + 7 can be used to recursively find the nth term of the sequence.

A sequence in mathematics is an ordered collection of numbers that is typically defined by a formula or rule. Every number in the series is referred to as a term, and its location within the sequence is referred to as its index. Depending on whether the list of terms stops or continues indefinitely, sequences can either be finite or infinite. By their patterns or uniformity, sequences can be categorised, and the study of sequences is crucial to many areas of mathematics, such as calculus, number theory, and combinatorics. Mathematical, geometrical, and Fibonacci sequences are a few examples of popular sequence types.

given

The sequence's terms are all different by 7 (i.e., 12 - 5 = 19 - 12 = 26 - 19 =... = 7).

The following is a definition of a recursive formula for the nth element of the sequence:

a 1 = 5 (the first term of the series is 5) (the first term of the sequence is 5)

For n > 1, each term is derived by adding 7 to the preceding term, so a n = a n-1 + 7.

Thus, beginning with a 1 = 5, the formula a n = a n-1 + 7 can be used to recursively find the nth term of the sequence. For instance, we have

a_2 = a_1 + 7 = 5 + 7 = 12

a_3 = a_2 + 7 = 12 + 7 = 19

a_4 = a_3 + 7 = 19 + 7 = 26

To know more about sequence visit:

https://brainly.com/question/21961097

#SPJ1

Answer:

10.75 is the answer I think

Answer:

B thak you very mvuhb:)

Step-by-step explanation:

Step-by-step explanation:

Answer:

3x + 4 = 5x − 10

Step-by-step explanation: i took the test :)

Step-by-step explanation:

y = 8x/9 - 2

therefore m = 8/9

x1 = -3

y1 = 6

from, y - y1 = m(x-x1)

y - 6 = 8/9(x+3)

y-6 = 8x/9 + 8/3

y - 8x/9 -26/3 = 0 (×9)

9y - 8x -78 = 0

The value of the expression \(4\frac{1}{10}\times-4\times\frac{5}{12}\) is \(-6\frac{5}{6}\).

A mathematical statement expressed as a string of numbers and unknowable variables is known as a numerical expression. Statements can be used to create numerical expressions.

The given, expression is \(4\frac{1}{10}\times-4\times\frac{5}{12}\).

= (41/10) × (- 4) × (5/12).

= (41×-4×5)/(10×12).

= (-820/120).

= - 82/12.

= - 41/6.

= \(-6\frac{5}{6}\).

learn more about numerical expressions here :

https://brainly.com/question/29199574

#SPJ1

Probability that he will make the next free throw is 0.89% if larry bird made approximately 89% of all free throws during his nba career.

During nba career he made approximate 89% of all free throws.

To calculate the probability of the next 10 free throws given which will be

= No. of possible outcome / Total no. of outcome

= 89 / 100

= 0.89 %

Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcome like how likely they are.

P(A) = (# of ways A can happen) / (Total number of outcomes)

which means that Probability that he will make the next free throw is 0.89 %

To learn more about probability

https://brainly.com/question/9653825

#SPJ4

Answer:

point D

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

I hope i helped :)

The vertical cross-sectional of a triangular prism gives a quadrilateral shape.

A three dimensional shape is a shape that have length, width and height. Example of three dimensional shapes are prism, pyramid, cone, cylinder and so on.

A triangular prism have two triangular bases and three quadrilateral lateral faces

The vertical cross-sectional of a triangular prism gives a quadrilateral shape.

Find out more on three dimensional at: https://brainly.com/question/10557391

#SPJ2

Answer:

y = 3x - 2

Step-by-step explanation:

Slope intercept form is y = mx + b and y = 3x - 2 is written in that form: m is 3 and b is -2

Hope this helps!

Answer:

y=3x-2 is correct

Step-by-step explanation:

slope intercept form y=mx+b

The area of the surface obtained by rotating the curve x = 20 cos(3θ), y = 20 sin(3θ), where 0 ≤ θ ≤ π/2, about the x-axis is calculated using the formulA for surface area of revolution

To find the area of the surface, we can use the formula for the surface area of revolution. Given a curve defined parametrically by x = f(θ) and y = g(θ), where α ≤ θ ≤ β, the surface area obtained by rotating the curve about the x-axis is given by:

A = ∫[α,β] 2πy √(1 + (f'(θ))²) dθ

In this case, we have x = 20 cos(3θ) and y = 20 sin(3θ), with 0 ≤ θ ≤ π/2. Taking the derivatives, we find f'(θ) = -60 sin(3θ) and g'(θ) = 60 cos(3θ).

Plugging these values into the surface area formula and simplifying, we get:

A = ∫[0,π/2] 2π(20 sin(3θ))(√(1 + (-60 sin(3θ))²)) dθ

Evaluating this integral will give us the exact value of the surface area of the rotated curve about the x-axis within the given range of θ.

Learn more about integral here: https://brainly.com/question/31433890

#SPJ11

The area enclosed by the curves can be found by integrating the difference between the upper and lower curves with respect to x within the given x-interval,

which is from -ln(4) to ln(4). To compute the area enclosed by the curves y = e^x, y = e^(-x), and y = 4, we need to find the x-values where these curves intersect.

Setting y = e^x and y = 4 equal to each other, we get:

e^x = 4

Taking the natural logarithm of both sides, we have:

x = ln(4)

Setting y = e^(-x) and y = 4 equal to each other, we get:

e^(-x) = 4

Taking the natural logarithm of both sides, we have:

-x = ln(4)

x = -ln(4)

The area enclosed by the curves can be found by integrating the difference between the upper and lower curves with respect to x within the given x-interval.

∫[ln(4), -ln(4)] (e^x - e^(-x) - 4) dx

Evaluating this integral will give us the area enclosed by the curves.

To know more about area click here

brainly.com/question/13194650

#SPJ11

Answer:

I believe it's images of god

Answer:

the answer is the option : B

Answer:

\(\text{In terms of Gazebos, the perimeter of Gazebo A = \textbf{46 m}}\)

Step-by-step explanation:

Since the two pentagons are similar the ratio of each side of the smaller pentagon to the corresponding side of the larger pentagon is the same

We are given that in pentagon ABCDE, side AB = 10 and the corresponding side FG of pentagon FGHJK = 15

\(\text{Therefore } \\\\\dfrac{\overline {AB}}{\overline{FG}} =\dfrac{10}{15} = \dfrac{2}{3}$ \textrm(divide numerator and denominator by 5)}\\\)

The ratios of all the other sides of ABCDE to the corresponding sides of FGHJK must also be \(\displaystyle {\dfrac{2}{3}}\)

Therefore it follows that the perimeter of ABCDE = 2/3 x perimeter of FGHJK

Perimeter of FGHJK = sum of sides  \(= 15 + 9 + 12 + 15 + 18 = 69 \;m\)

\(\textrm{Perimeter of ABCDE } = \dfrac{2}{3} \cdot 69 = 2 \cdot 23 = 46\text{ m}\\\\\)

\(\text{In terms of Gazebos, the perimeter of Gazebo A = \textbf{46 m}}\)

The height of prism B based on the information given will b 22cm.

Prisms are transparent optical elements that have at least two flat surfaces and refract light. They are usually made of glass or plastic and are used in a variety of optical applications, including scientific experiments, photography, and surveying. Prisms come in a variety of shapes and sizes, including triangular, rectangular, and pentagonal.

From the information, it should be noted that the surface area of prism A will be

= 60 × 2 + 7+ 384

= 576cm²

The surface area of prism A will be:

48 + 10h + 8h + 6h = 576

48 + 24h = 576

h = 528 / 24

h = 22cm

The height is 22cm

Learn more about prism on

brainly.com/question/23963432

#SPJ1

The right triangular prisms shown have the same surface area. Find the height of prism B.

Prism A:

Height: 24 cm

Base: a right triangle with legs 3 cm and 20 cm

Depth: 6 cm

Prism B:

Height: ?

Base: a right triangle with legs 8 cm and 20 cm

Depth: 3 cm

Both prisms have the same surface area.

The values of the function f(x) = x^3 - 3x^2 + 4 at x = 0, x = -2, and x = 1 are:   f(0) = 4   f(-2) = 20  f(1) = 2

To evaluate the function f(x) = x^3 - 3x^2 + 4 at specific values, we substitute the given values of x into the function.

1. Evaluating f(0):

f(0) = (0)^3 - 3(0)^2 + 4

    = 0 - 0 + 4

    = 4

So, f(0) = 4.

2. Evaluating f(-2):

f(-2) = (-2)^3 - 3(-2)^2 + 4

     = -8 - 3(4) + 4

     = -8 - 12 + 4

     = -20 + 4

     = -16

So, f(-2) = -16.

3. Evaluating f(1):

f(1) = (1)^3 - 3(1)^2 + 4

    = 1 - 3 + 4

    = 2

So, f(1) = 2.

Therefore, the values of the function f(x) = x^3 - 3x^2 + 4 at x = 0, x = -2, and x = 1 are:

f(0) = 4,

f(-2) = -16,

f(1) = 2.



To learn more about function click here: brainly.com/question/30721594

#SPJ11

Triangle AEB is congruent to Triangle CED.

Proof:

Statement: Shape ABCD is a rectangle.

Reason: Given.

Statement: AE = CE.

Reason: Given.

Statement: BE = DE.

Reason: Given.

Statement: Angle AEB = Angle CED.

Reason: Vertical angles are congruent.

Statement: Side-Angle-Side (SAS) congruence criterion.

Reason: AE = CE (Given), BE = DE (Given), Angle AEB = Angle CED.

Statement: Triangle AEB = Triangle CED.

Reason: SAS congruence criterion (from the previous statement) by congruence definition.

Therefore, Triangle AEB is congruent to Triangle CED.

To learn more about congruent visit:

https://brainly.com/question/29789999

#SPJ11

Answer:

I think the

Step-by-step explanation:

answer is C . let me know

Answer:

1.(D)

2.(A)

3.(C)

4.(B)

Answer:

Multiply 17 by 100 / 12.5 to get the answer

Answer:

x = 12

x = 7

Step-by-step explanation:

x - 2 = 10

The inverse of subtraction is addition so add 2 to 10

2 + 10 = 12

x = 12

x + 6 = 13

The inverse of addition is subtraction so subtract 6 to 13

6 - 13 = 7

x = 7

Greetings! I hope this helps!

Answer:

1

Explanation:

7 = 7/1

9 = 9/1

6 = 6/1

Answer:

d

Step-by-step explanation:

hope it helps you here you go

The maximum height of the rocket is 144.5 meters, and it takes 4.25 seconds to reach the maximum height.

To find the maximum height of the rocket, we need to find the vertex of the parabola represented by the quadratic function h = -8t² + 68t. Since the parabola opens downwards (due to the negative leading coefficient -8), the vertex will give us the maximum height.

The x-coordinate (or time t) of the vertex for a quadratic function in the form of f(x) = ax² + bx + c is given by the formula:

t = -b / 2a

In this case, a = -8 and b = 68. Plugging these values into the formula, we get:

t = -68 / (2 x -8)

t = 68 / 16

t = 4.25

So, it takes 4.25 seconds to reach the maximum height.

Now, to find the maximum height (h), we plug the value of t back into the original equation:

h = -8(4.25)² + 68(4.25)

h = -8(18.0625) + 289

h = -144.5 + 289

h = 144.5 meters

Find out more on maximum height at https://brainly.com/question/12446886

#SPJ1

Answer:

$1247.97

Step-by-step explanation:

$42 per month of service

new phone monthly service is $415.99

415.99 x 3 = 1247.97