Let see if this work

Answer:

25% or 30% with all the options I believe

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

Step 1 - Expand bracket:

\(-3(x - 14) + 9x = 6x + 42\\-3(x) + -3(-14) + 9x = 6x + 42\\-3x + 42 + 9x = 6x + 42\)

Step 2 - Combine like terms:

\(-3x + 42 + 9x = 6x + 42\\42 + 6x = 6x + 42\)

As both sides are the same, the equation equals 0.

\(42 + 6x = 6x + 42\\42 - 42 = 6x + 42 - 4x\\6x = 6x\\6x - 6x = 6x - 6x \\0 = 0\\\)

Hope this helps!

The radius of the pen is given as follows:

28.03 feet.

The circumference of a circle of radius r is given by the multiplication of 2 by the number pi = 3.14 and the radius r, as follows, hence the equation is given as follows:

C = 6.28r.

For this problem, the circumference of the pen is given as follows:

C = 176 feet.

Hence the radius of the pen is obtained as follows:

176 = 6.28r

r = 176/6.28

r = 28.03 feet.

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Answer:

I think it’s 15??

Answer:

36

Step-by-step explanation:

The x-coordinates where the graphs of the equations intersect are x = -1 and x = 3

From the question, we have the following parameters that can be used in our computation:

y = 2x

y = x² - 3

The x-coordinates where the graphs of the equations intersect is when both equations are equal

So, we have

x² - 3 = 2x

Rewrite the equation as

x² - 2x - 3 = 0

When the equation is factored, we have

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

So, we have

x = -1 and x = 3

Hence, the x-coordinates are x = -1 and x = 3

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Question

From least to greatest, What are the x–coordinates of the three points where the graphs of the equations intersect? If approximate, enter values to the hundredths.

y = 2x

y = x² - 3

Answer:

Linear relationship: increasing or decreasing one variable will cause a corresponding increase or decrease in the other variable.

Inverse relationship:  the value of one variable decreases as the value of the other variable increases.

Exponential relationship: a constant change in the independent variable (x) gives the same proportional change in the dependent variable (y)

Question 5

As the x-value increases (by one unit), the y-value decreases.

Therefore, this is an inverse relationship.

The y-values are calculated by dividing 35 by the x-value.

\(\sf y=\dfrac{35}{x}\)

**I believe there is a typing error in the table and that the y-value of x = 3 should be 11.67**

Question 6

As the x-value increases, the y-value increases.  The y-value increases by a factor of 5 for each x-value increase of 1 unit.

Therefore, this is an exponential relationship.

\(\sf y=5^x\)

Answer:

\(y=-4x+5\)

Step-by-step explanation:

The equation of a line with slope \(m\) and \(y\)-intercept \((0,b)\) is \(y=mx+b\).

Answer:

  see the attachment for the Venn diagram

Step-by-step explanation:

Given the numbers of students in various combinations of three courses, you want the associated Venn diagram and some numbers associated with additional combinations of courses.

It is often easiest to populate the numbers in a Venn diagram by starting with the center one: 286 are taking all three courses. (V. = 286)

Working outwards from there, the numbers taking two courses can be filled in: (II. = History & Dance - V. = 343; IV. = History & Math - V. = 319; VI. = Dance & Math - V. = 318.)

Finally, the number taking a single course can be found. (I. = History -II. -IV. -V.; III. = Dance -II. -V. -VI.; VII. = Math -IV. -V. -VI.)

Adding all the numbers found so far gives the total in History, Dance, or Math (question 4). The difference between the number surveyed and the number in courses is VIII, the number taking none of the courses (question 5).

The least arithmetic may be involved if you rewrite this expression to ...

  H ∪ D' = (H'∩D)' = 2401 -(III +VI) = 2401 -(289 +318) = 1794

This will be the sum of numbers I, IV, VII.

  226 +319 +372 = 917

This is VI alone: 318

This is all but VIIII: 2401 -248 = 2153

This is VIII alone: 248

Solution:

To solve this problem, we will use PRT/100.

Where:

1. Converting the number of months into years.

\(\bullet \ \ 1 \ \text{year} = 12 \ \text{months}\)

\(\bullet \ \ \rightarrow \text{x years = 12x months = 18 months}\)

\(\bullet \ \ \rightarrow \frac{12x}{12} = \frac{18}{12}\)

\(\bullet \ \ \rightarrow x = 1.5 \ \text{years}\)

2. Using PRT/100:

\(\bullet \ \ \rightarrow \dfrac{P \times R \times T}{100}\)

\(\bullet \ \ \rightarrow \dfrac{1900 \times 5.9 \times 1.5}{100}\)

\(\bullet \ \ \rightarrow19 \times 5.9 \times 1.5}\)

\(\bullet \ \ \rightarrow \boxed{\$168.15}\)

Thus, the interest will be \(\bold{\$168.15}\).

Answer:

-12

Step-by-step explanation:

3/5 * (1 + sqrt(16))^2 - (5 - 2)^3 =

= 3/5 * (1 + 4)^2 - (3)^3

= 3/5 * (5)^2 - 27

= 3/5 * 25 - 27

= 15 - 27

= -12

Given a rectangular prism :

Height = h = 5 in

Length = l = 21 in

Width = 11 in

Lateral surface area = height * perimeter of the base = h * p

Perimeter of the base = p = 2 * ( length + width )

So, lateral area =

So, the answer is : 320 in^2

Answer:

I hope this will be helpful for you.

⇒Plug in places the given values in the expression x-2c and simplify

given that x=3 and c =-3

⇒\(=(3)-2(-3)\\=3+6\\=9\)

The expression evaluated at the given variables is equal to 9.

A graph of the image of trapezoid W'X'Y'Z' after a translation of 4 units up and 3 units to the left is shown in the image attached below.

In Mathematics, the translation of a geometric figure to the left simply means subtracting a digit from the value on the x-axis of the pre-image.

By applying a translation to the pre-image of trapezoid WXYZ vertically up by 4 units and horizontally left by 3 unit, the coordinates of the image of trapezoid W'X'Y'Z' include the following:

(x, y)                               →                  (x - 3, y + 4)

Coordinate W = (-2, -1)   →    Coordinate W' (-2 - 3, -1 + 4) = (-5, 3)

Coordinate X = (4, -1)   →    Coordinate X' = (4 - 3, -1 + 4) = (1, 3)

Coordinate Y = (3, -3)   →   Coordinate Y' = (3 - 3, -3 + 4) = (0, 1)

Coordinate Z = (-1, -3)   →    Coordinate Z' = (-1 - 3, -3 + 4) = (-4, 1)

Next, we would use an online graphing calculator to plot the given coordinates trapezoid W'X'Y'Z'.

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Answer:

123456789101112131415161718192021222324252627

Answer:

Tahlia was correct in remembering that you can find the slope of a line using the slope formula.

She was also correct that the slope is 0.5.

However, if you use the slope-intercept formula y = mx + b, you still have to find b (the y-intercept) by plugging in one of the two points and the slope.

So, if we plug in the first point and the slope into the line, we can find b and thus the full equation of the line:

\(-7.5=0.5(-3)+b\\-7.5=-1.5+b\\b=-6\\\\y=0.5x-6\)

Teddy can make 26 ornaments with 37/53 of clay left over

You should recall that Proportion is a mathematical comparison between two numbers, denoted using the symbol "::" or "=". It is an equation in which two ratios are set equal to each other

(20/1 ÷ 3/8)

Simplifying the fraction

20/1 * 8/3

Multiplying through to have

= 80/3

The correct solution is 26.66666

Covert the decimal to a mixed fraction to get 26 37/53

Therefore Teddy can make 26 ornaments with 37/53 of clay left over

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If f(x,y,z) is a vector field rather than a scalar function. A vector-valued function is one that has a vector value and a calculable curl. Therefore, if we calculate this value, it will once more be a vector-valued function. The right response in this case is option B.

The following considerations must be made in order to answer this question: It is specified that the divergence of a vector field is a scalar-valued function.

A vector field's specified and actual curl is a vector field. A scalar field's divergence/Curl is not specified. A scalar field's gradient is a vector field that has a definite definition. A vector field's gradient is not known.

Since F is a vector-valued function, we may discover its divergence, which will be a scalar-valued function, and since the gradient of the scalar-valued function will be a vector-valued function, this calculation is attempting to compute the gradient of the divergence of the vector field F.

Complete question:

Let f(x,y,z) be a scalar-valued function, and F(x,y,z) be a vector field. Is the following defined? If it is defined, is it a scalar-valued function or a vector field? (You are only allowed one attempt for each part of this problem.)

(a) V (Vn Defined- it is a scalar-valued function O Defined - it is a vector field O Not defined

(b) VV F) O Defined - it is a scalar-valued function Defined - it is a vector field O Not defined

(c) V (V F) Defined it is a scalar-valued function Defined - it is a vector field Not defined

(d) V (V x F) Defined it is a scalar-valued function Defined it is a vector field Not defined

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Answer:

Add

3.8

and

13.2

.

8

x

⋅

17

−

6

Multiply

17

by

8

.

136

x

−

6

There are 4 hundred billions in the number 432,845,979,484.

To determine how many hundred billions are in the number 432,845,979,484, we need to consider the place value of the hundred billions digit.

The number 432,845,979,484 has 12 digits, and we count the digits from right to left, starting with the units place. The digit in the hundred billions place is the seventh digit from the right.

Let's break down the number:

4 hundred billions (4 x 100,000,000,000)

3 ten billions (3 x 10,000,000,000)

2 billions (2 x 1,000,000,000)

8 hundred millions (8 x 100,000,000)

4 ten millions (4 x 10,000,000)

5 millions (5 x 1,000,000)

9 hundred thousands (9 x 100,000)

7 ten thousands (7 x 10,000)

9 thousands (9 x 1,000)

4 hundreds (4 x 100)

8 tens (8 x 10)

4 units (4 x 1)

As we can see, there are 4 hundred billions in the number 432,845,979,484.

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Answer:

212

Step-by-step explanation:

3 goes into 6 = 2 times

3 goes into 3 = 1 time

3 goes into 6 = 2 times

2 → 1 → 2 = 212

the length of the box is represented by (8m2)

does that mean 8m^2?

in English that would be 8 times m^2 or 8 * m * m.

if that is true, then the volume of the box would be equal to (8*m^2)^3 which is equal to 8^3 * m^6 which is then simplified further to 512 * m^6 which can also be written as 512m^6.

if we assume that m is 3, then the side of the box is equal to 8 * 9 which is equal to 72 and that is cubed to get 373248.

working that out algebraically, it would look like this:

(8*3^2)^3 equals 8^3 * (3^2)^3 which is equal to 8^3 * 3^6 which is equal to 512 * 729 which is equal to 373248

The simplified expression that represents the volume of the box is D. 512m.

Volume, which is measured in cubic units, is the 3-dimensional space occupied by matter or encircled by a surface. The cubic meter (m³), a derived unit, is the SI unit of volume. Volume is another word for capacity.

The volume of a cube or a square box can be calculated by multiplying the length of one side by itself twice since all sides of a cube are equal. Therefore, the volume of the square wooden box in the question is:

Volume = (8m')³

= 8m' * 8m' * 8m'

= 64m' * 8m'

= 512m"³

So the simplified expression that represents the volume of the box is 512m"³. Both options C and D in the original question have the same answer, but there is a typo in option D where it only says "512m" instead of "512m³".

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The correct answer is B (Green table)

Explanation:

In mathematics, a function table shows different values for Y and X that are part of a mathematical function. Additionally, for the table to be correct the mathematical function or equation needs to be valid in each of the rows.

According to this, in the equation presented the value of x added to 3 should be equal to the value shown for y as x+3= y. This occurs only in the green table; for example, the first value for x is 1 and for y is 3, this makes the equation valid 1 (x) + 3 = 4. Also, in the last row, the value of x is 11 and the value of y is 3, which also matches the equation 11 (x) + 3 = 14 (y).

43.131

/\

|

This is the tenths spot.

40.000 or 40