Which of the following expressions is equivalent to
8(2x + 7)?
(1) 10x+15
(3) 16x+7
(2) 10x+7
(4) 16x +56

After leveling the sand box, the height of the sand box is 1.57 in

Volume is defined as the space occupied within the boundaries of an object in three-dimensional space.

The volume of a cuboid is expressed as;

V = l × w × h

V = 30 × 20 × 5

V = 3000 in³

After leveling, the volume decreases by 1680 in³, therefore the new volume of the sand box is

3000-1680 = 1320

Therefore the new height of the sand is calculated as;

1320 = 30 × 28 × h

1320 = 840h

divide both sides by 840

h = 1320/840

h = 1.57 in

therefore the height of the remaining sand is 1.57

learn more about volume from

https://brainly.com/question/27710307

#SPJ1

Using it's concept, it is found that the graph on top right represents the inverse function.

The inverse of the function is given by the set that contains point (y,x), that is, the coordinates are exchanged.

Considering the table given, the graph of the inverse function will contain these following points:

(4.4, -3), (0.6, -2), (-0.8, -1), (-1,0), (-1.2, 1), (-2.6, 2), (-6.4, 3).

Hence it is the top right graph.

More can be learned about inverse functions at brainly.com/question/8824268

#SPJ1

Step-by-step explanation:

\(14(16) - 12 = 224 - 12 = 212\)

Answer:

As we know that

\(\sf 1 \:Foot=12inches \)

\({:}\longrightarrow\)\(\sf {\dfrac {7}{12}}\:of \; 12 \)

\({:}\longrightarrow\)\(\sf {\dfrac {7}{{\cancel {12}}}}\times{\cancel { 12 }}\)

\({:}\longrightarrow\)\({\underline{\boxed{\bf 7inches}}}\)

Answer:

I used a calculator.

Step-by-step explanation:

mixed number form 3 1/3

exact form 10/3

The value of the unknown number x is 8.

Mean is the average of the given numbers and is calculated by dividing the sum of given numbers by the total number of numbers.

The given numbers include:

The sum of the given numbers is calculated as follows:

\(2 + 4 + \text{x} + 6 = 12 + \text{x}\)

The mean of the given 4 numbers is calculated as follows:

\(\dfrac{12+\text{x}}{4} =5\)

\(12+\text{x}=20\)

\(\text{x}=20-12\)

\(\text{x}=8\)

Thus, the value of the unknown number x is 8.

Learn more about the mean of numbers at: https://brainly.com/question/32305540

Step-by-step explanation:

(π * r²) will give you are of entire circle

the multiply by 60/360 , to give the shaded part

Answer:

A ≈ 25.7 cm²

Step-by-step explanation:

the area (A) of the sector is calculated as

A = area of circle × fraction of circle

   = πr² × \(\frac{60}{360}\)

   = π × 7² × \(\frac{1}{6}\)

   = \(\frac{49\pi }{6}\)

   ≈ 25.7 cm² ( to the nearest tenth )

To evaluate the series Σ(3^n/(141·3²ⁿ) from n=1 to infinity converges or diverges, we can use the ratio test.

The ratio test states that if the limit of the absolute value of the ratio of consecutive terms is less than 1, then the series converges absolutely;

if the limit is greater than 1, then the series diverges; and if the limit is exactly 1, then the test is inconclusive.

Let's first apply the ratio test to this series:

| (3ⁿ+¹/(141·3²ⁿ+¹) * (141·3²ⁿ))/(3ⁿ |

= | 3/141 |

= 1/47

Since the limit of the absolute value of the ratio of consecutive terms is less than 1, the series converges absolutely.

To compute the sum of the series, we can use the formula for the sum of a geometric series:

Σ(3ⁿ/(141·3²ⁿ) = 3/141 Σ(1/9)ⁿ from n=1 to infinity

= (3/141) · (1/(1-(1/9)))

= 27/470

Therefore, the series converges absolutely and its sum is 27/470.

Learn more about series : https://brainly.com/question/15415793

#SPJ11

Answer:

1,420 milligrams

Step-by-step explanation:

We know there are 100 centigrams in 1 gram, and there are 10 milligrams in a centigrams. That would mean there are 1,000 milligrams in 1 gram (100 * 10 = 1000).

As a result, all you need to do is multiply 1.42 by 1000 to get the amount of milligrams.

1.42 * 1000

Alternatively, to make 1.42 a whole number first, multiply by 100, then add a zero. (That's the other 10!)

(1.42 * 100) * 10

142 * 10

There are 1,420 milligrams in 1.42 grams.

Answer:

-0.8 - 0.5b - 1.4c

Step-by-step explanation:

Take the b and the c away

Then times the 0.2 by all the numbers but don't add them

Once your done you and the b and c back to you equation

Answer::

Explanation:

Given the expression:

First, distribute the left bracket:

Next, open the bracket:

Answer:

461.81

Step-by-step explanation:

your welcome

Answer:

notebook=3 pen =1

Step-by-step explanation:

plug in the numbers in the equation. 2(3)-3 2*3=6 6-3=3

(5)-4=1

Answer:

f(3) = 10

Step-by-step explanation:

given f(x) = 12/x + 6,

we want to find f(3)

to do so we plug in x = 3

so,

==> f(3) = 12/3 + 6

==> f(3) = 4 + 6

==> f(3) = 10

Answer:

Step-by-step explanation:

find the semiperiter (1/2 perimeter or L+W)

80 : 2 = 40

now we know that 4z + 2 + 3z + 3 = 40

we solve for z with an equation

4z + 2 + 3z + 3 = 40

7z = 40 - 2 - 3

7z = 35

z = 35 : 7

z = 5

now we find CD

3z + 3 =      (z=5)

3 * 5 + 3 =

15 + 3 =

18

-------------------------------

check (remember pemdas)

4z + 2 + 3z + 3 = 40

4*5+2+3*5+3 = 40

20+2+15+3=40

40 = 40

the answer is good

Answer:

living organism

Step-by-step explanation:

soil particals and decad crops living organism

To find the value of the trigonometric function Sin 8 using the traditional solving methods which results the answers as option (D) -√5.

To find sin 8, we can use the fundamental trigonometric identity sin²θ + cos²θ = 1.

Since cos 0 = 1, we have cos²0 + sin²0 = 1, which simplifies to 1 + sin²0 = 1.

From this equation, we can deduce that sin²0 = 0, which means sin 0 = 0.

Now, using the double-angle formula for sin, sin 2θ = 2sinθcosθ, we can find sin 8 as follows:

sin 8 = sin (2 * 4) = 2sin 4cos 4.

Since sin 4 = sin (2 * 2) = 2sin 2cos 2, we can further simplify:

sin 8 = 2(2sin 2cos 2)cos 4 = 4sin 2cos²4.

Given that tan 0 < 0, we know that sin 0 < 0 and cos 0 > 0.

Since sin 0 = 0, we have sin 2 = 2sin 0cos 0 = 0.

Therefore, sin 8 = 4sin 2cos²4 = 4(0)cos²4 = 0.

Hence, the value of sin 8 is 0, which corresponds to option (D) in the given choices.

Learn more about trigonometric here:

https://brainly.com/question/29156330

#SPJ11

Multiply the number of copies sold by the amount made per cop and add that to the base pay:

P = 1600 + 120N

Now to find her total pay, replace N with the number sold:

P = 1600 + 120(22)

Simplify:

P = 1600 + 2640

Add:

P = $4,240

Due to the identical values in the measured dataset (67.25 g, 67.25 g, and 67.25 g), the standard deviation is zero, and therefore the standard error cannot be calculated in this case.

To determine the standard error for the measured values of the object's mass, we first need to calculate the standard deviation of the dataset. The standard deviation measures how much the measured values deviate from the mean. However, in this particular case, all the measured values are the same (67.25 g). Consequently, the standard deviation of the dataset will be zero since there is no variation.

Since the standard deviation is zero, dividing it by the square root of the sample size (which is also 1 in this case) would result in an undefined value. Therefore, we cannot compute the standard error for this specific set of measurements.

It's important to note that the standard error is a measure of the uncertainty associated with the mean of a sample, rather than the individual measurements themselves.

In situations where there is no variability in the dataset, such as when all measurements are the same, the standard error cannot be determined because it relies on the variation among the measurements.

To know more about standard error here

https://brainly.com/question/13179711

#SPJ4

A full binary tree is a binary tree in which each internal node has exactly two children. To determine the number of edges in a full binary tree with 1000 internal vertices.

We need to understand the relationship between the number of vertices and edges in a binary tree. In a binary tree, the number of edges is always one less than the number of vertices. This is because each edge connects two vertices. Therefore, if we have 1000 internal vertices in a full binary tree, we can calculate the number of edges as 1000 - 1 = 999.

To explain further, a full binary tree with 1000 internal vertices means that it has 1001 total vertices (including internal vertices and leaves). Since each internal vertex has two edges connecting it to its children, there are 1000 * 2 = 2000 edges in total. However, we need to subtract 1 from this count because the root of the tree is not an internal vertex and has only one edge connecting it to its parent. Hence, the final count is 2000 - 1 = 1999 edges.

In conclusion, a full binary tree with 1000 internal vertices has either 999 or 1999 edges, depending on whether the root is considered an internal vertex or not.

To learn more about internal vertices click here:

brainly.com/question/30462654

#SPJ11

Mixed methods research tends to be more complex when compared to quantitative and qualitative research respectively. This is because mixed methods research combines both quantitative and qualitative research methods in a single study.

Quantitative research involves the collection and analysis of numerical data, while qualitative research involves the collection and analysis of non-numerical data, such as words, images, and sounds.

Mixed methods research, on the other hand, involves the collection and analysis of both types of data. This requires the researcher to have a deeper understanding of both quantitative and qualitative research methods, as well as the ability to integrate the two types of data in a meaningful way.

Furthermore, mixed methods research often involves the use of multiple data sources, multiple research methods, and multiple levels of analysis. This adds an additional layer of complexity to the research process.

As a result, mixed methods research tends to be more complex than either quantitative or qualitative research alone.

Know more about Mixed methods here:

https://brainly.com/question/24625411

#SPJ11

Answer:

hypotenuse= 2\(\sqrt{5}\)

Step-by-step explanation:

the triangle is equal tow side so it is two side =5 cm

then the hypotenuse by Phitagors theory the triangle hypotenuse =

\(\sqrt{5^{2} +5^{2} }\) = 2\(\sqrt{5}\)

Answer:

25%

Step-by-step explanation:

9/12 = 3/4

1/4 (the months he wasn't working) = 25%

Answer:

B     5 units

Step-by-step explanation:

Answer:

5 left (b)

Step-by-step explanation:

the x-axis the bottom axis and it starts at 0 and -5 is 5 from 0

Answer:

C=1

Step-by-step explanation:

5/6=5/6c which is 1.

Answer:

56 degrees

Step-by-step explanation:

A straight angle is 180 degrees

91 + 33 = 124

180 - 124 = 56

Check:

124 + 56 = 180

Answer:

C=56

Step-by-step explanation:

You subtract the sum of 33 + 91 from 180 which would you give you c=56

Answer:

x = 5 or -6

Step-by-step explanation:

We can find the zeros of the function:

\(y=x^2+x-30\)

by setting y to 0, then solving for x.

To do this, we need to factor the right side of the equation.

\(0=x^2+x-30\)

\(0=(x + 6)(x - 5)\)

We can see that (x + 6) and (x - 5) are the two parts of this factorization because 6 and -5 add to 1 (which is the coefficient of the middle term), and they multiply to -30 (the constant term).

From this factored form, we can split the equation into two because we know that:

IF \(ab = 0\),

THEN \(a=0\)  OR  \(b=0\)

So, we can solve for x in the following two equations:

\(x + 6 = 0\)             \(x - 5 = 0\)

\(\boxed{x = -6}\)    OR   \(\boxed{x = 5}\)

__

Learn more about factoring here: https://brainly.com/question/27638369

A technical change that increases the productivity of capital in the Cobb-Douglas production function is represented by an increase in the β parameter.

In the Cobb-Douglas production function f(l,k) = alαkβ, where l represents labor input, k represents capital input, and α and β are positive constants representing the output elasticity of labor and capital, respectively, a technical change that increases the productivity of capital can be represented by an increase in the β parameter.

By increasing the β parameter, the production function assigns a higher weight to the capital input, indicating that an increase in capital will have a greater impact on output. This represents an improvement in the productivity of capital, reflecting technological advancements or changes that make capital more efficient in the production process.

In summary, a technical change that increases the productivity of capital in the Cobb-Douglas production function is represented by an increase in the β parameter.

To know more about "Cobb-Douglas production function" refer here:

https://brainly.com/question/31414115#

#SPJ11

The sum of the first 200 multiples of 3 is 60,300(B).

To find the sum of the first 200 multiples of 3, we need to calculate the arithmetic series. The formula for the sum of an arithmetic series is Sn = (n/2)(a + l), where Sn is the sum, n is the number of terms, a is the first term, and l is the last term. In this case, the first term (a) is 3, and the last term (l) is 3 * 200 = 600.

Plugging these values into the formula, we get Sn = (200/2)(3 + 600) = 100 * 603 = 60,300. Thus, the sum of the first 200 multiples of 3 is 60,300(C).

For more questions like Series click the link below:

https://brainly.com/question/28167344

#SPJ11