one-half the product of x and
y

Answer:

Ok

Step-by-step explanation:

Hmmmmmm

The required present value needed now to get $700 after 4 years at 11% compounded monthly is $451.73.

To find the present value of $600 after 4 years at 7% compounded monthly, we can use the formula for compound interest:

Compound Interest =P(1+r/n)^rt

Substituting the given values, we get:

Compound Interest =600 (1+7/n)^4

Simplifying this equation, we get

P = 600 / 1.487

P = 451.73

Therefore, the present value needed now to get $600 after 4 years at 7% compounded monthly is $451.73.

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Answer:

5/2 or 2.5

Step-by-step explanation:

Divide both sides by 2.

The value of angle of depression is  option (c) Θ (theta)

The angle of depression is the angle between the horizontal line and the observation of the object from the horizontal line. It is basically used to get the distance of the two objects where the angles and an object's distance from the ground are known to us.

A tower is a tall narrow building or part of a building such as a church or castle.

A point is represented by a dot (.) and is used to tell exact location in space. It does not have any length, width, or height. In other words, it has no size.

Man standing at the top of a tower at point b is looking at the ground at point c.

As per the given statement the man standing at the top of a tower at point b. So their line of sight is bd i.e ∠dbc=  Θ (theta)  {alternate angles}

So angle of depression is option (c) Θ (theta)

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Answer:

0 hundreds

0 tens

7 ones

.

4 tenths

0 hundredths

8 thousandths

Standard form=7.408

Step-by-step explanation:

Lets first solve (7x1)+(4x1/10)+(8x1/1000)

7+0.4+0.008

Simplify:

7.408

Consider the given expression is

\((5.23x + 3.76) - (3.67x - 6.39)\)

We need to find the simplified form of the given expression.

Using distributive property we get

\(5.23x + 3.76 - (3.67x) - (-6.39)\)

\(5.23x + 3.76 - 3.67x + 6.39\)

On combining like terms we get

\((5.23x - 3.67x) + (3.76 + 6.39)\)

\(1.56x+10.15\)

Therefore, the simplified form of the given expression is \(\bold{1.56x+10.15}\).

Answer:

first and third expressions

Step-by-step explanation:

using the rule of exponents

\(\frac{a^{m} }{a^{n} }\) = \(a^{m-n}\)

then

\(\frac{3^{\frac{4}{9} } }{3^{\frac{2}{9} } }\)

= \(3^{\frac{4}{9}-\frac{2}{9} }\) ← first expression

= \(3^{\frac{2}{9} }\) ← third expression

Answer:

Step-by-step explanation:

I am stuck on the same thing, but A is probably the number of songs increse when lenght of cd increses.

The estimated regression equation developed in part (a) was found to be an effective predictor of overall customer satisfaction, as indicated by the significant F and t test results.

The estimated regression equation developed in part (a) to predict overall customer satisfaction is given by:

Overall Satisfaction = 0.3151*Trade Price + 0.3132*Speed of Execution + 1.5026

The coefficient of determination (R2) is a measure of how well the equation fits the data and is calculated as the proportion of the variation in overall satisfaction that is explained by the model. In this case, the R2 = 0.39, which means that 39% of the variation in overall satisfaction can be explained by the trade price and speed of execution variables.

To determine the overall significance of the relationship, the F test was used. The F statistic was calculated to be 17.874, which was significant at the 0.05 level (p-value = 0.000), indicating that the model was an effective predictor of overall customer satisfaction.

The t tests were then used to determine the significance of each independent variable. The t statistic for Trade Price was 2.639 (p-value = 0.009), indicating that the variable was significant at the 0.05 level, while the t statistic for Speed of Execution was 2.565 (p-value = 0.012), indicating that the

The estimated regression equation developed in part (a) was found to be an effective predictor of overall customer satisfaction, as indicated by the significant F and t test results.

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A regular polygon is repeated to create a tessellation known as a normal tessellation. Recognize that the angles and sides of an ordinary polygon are the same. An equilateral triangle, a rectangular shape, or a hexagon can all be used to create regular tessellations.

Tessellations made from or larger than common polygons are known as semi-regular tessellations. Hexagons and equilateral triangles make up the semi-typical tessellation shown in the image. If we concentrate on the hexagons, we can see that the triangles are rotated around the hexagonal components to generate the pattern. It is a three.3.6 tessellation, as determined by our system for naming tessellations. The hexagon is represented by the six and the trees are the two triangles.

Regular polygons of the same size and shape make up regular tessellations. Multiple regular polygons combine to form semi-regular tessellations. There are only eight ways to arrange regular polygons to produce semi-regular tessellations.

Hence we derived the necessary information.

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Answer:

1711

Step-by-step explanation:

\(4\cdot(14+8)^2-9\cdot(9-4)^2\\=4\cdot(22)^2-9\cdot(5)^2\\=4(484)-9(25)\\=1936-225\\=1711\)

Make sure to follow order of operations!

a) The vertex of function 1 is given as follows: (-2.8).

b) The vertex of function 2 is given as follows: (2,5).

c) The function with the larger maximum value is given as follows: Function 1.

The standard definition of a quadratic function is given as follows:

y = ax² + bx + c.

Hence the coefficients for the function 1 are given as follows:

a = -3, b = -12, c = -4.

The x-coordinate of the vertex is defined as follows:

x = -b/2a

Then:

x = -12/6

x = -2.

The y-coordinate of the vertex is given as follows:

f(-2) = -3(-2)² -12(-2) - 4

f(-2) = 8.

The vertex is the turning point of a quadratic function, where it changes from increasing to decreasing or vice versa, hence for function 2 it is given at (2,5).

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Answer:

f(1/x)=5+3x/6+7x ; 9(x-2)=\(\sqrt{x} ^2-8x+12\) the \(\sqrt{x}\) goes over the -8x+12

Answer: 1134.11

A=3.14*r^2

Step-by-step explanation:

Answer:

a ≈ 1134.11 cm2

Step-by-step explanation:

The formula:

\(a=\pi r^{2}\)

\(a=\pi (19)^{2} =361\pi\)

\(a=1134.11cm^{2}\)

Hope this helps

\(\begin{array}{llll} \textit{Logarithm Cancellation Rules} \\\\ \stackrel{ \textit{we'll use this one} }{log_a a^x = x}\qquad \qquad a^{log_a (x)}=x \end{array} \\\\[-0.35em] ~\dotfill\\\\ \log_2\left( \cfrac{1}{16} \right)+4\implies \log_2\left( \cfrac{1}{2^4} \right)+4\implies \log_2(2^{-4})+4\implies -4+4\implies \text{\LARGE 0}\)

\(\rule{34em}{0.25pt}\\\\ \textit{exponential form of a logarithm} \\\\ \log_a(b)=y \qquad \implies \qquad a^y= b\qquad\qquad \\\\[-0.35em] ~\dotfill\\\\ \log_2\left( \cfrac{1}{16} \right)=y\implies 2^y=\cfrac{1}{16}\implies 2^y=2^{-4}\implies y=-4\)

Answer:

number 2.) 1,500g

Step-by-step explanation:

i just know..

The number 100 would land in column 2

Given that we have the array of numbers

The length of each row in the array is 7

Dividing 100 by 7, we have

100/7 = 14 Remainder 2

This means that

Column = 2

In (a), we have

100/7 = 14 Remainder 2

This means that

Row = 14

Here, we have

The length of each row in the array is 6

Dividing 100 by 6, we have

100/6 = 16 Remainder 3

So, the location of 100 in rows of 6 numbers is row 16 and column 3

Let the length of each row in the array be n

Dividing 100 by n, we have

100/n = q Remainder r

This means that the location of 100 in rows of n numbers is row q and column r

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Answer:

1 6/7

Step-by-step explanation:

Answer:

Step-by-step explanation:

y = mx + b

we can see the slope is down hill,  so it's  negative

when the X is zero then it's 2

b = 2

slope is rise over run  2/3

y = -2/3x + 2

the slope is -2/3  (note the negative)

the y intercept is 2  

Answer:156

Step-by-step explanation: 26÷1/6 =26×6 =156

The intensity level is moderate

In one second Corey's heart will beat 3 times.

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is Corey's heart beats 26 times in 1/6 minutes.

Assume that her heart beats [x] times in 1 second. Then -

1/6 of minute = 1/6 x 60 = 10 seconds

In 10 seconds, her heart beats 26 times

So, in one second, her heart will beat (26/10) = 2.6 times = 3 times (approx.).

Therefore, in one second Corey's heart will beat 3 times.

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Answer:

Option (3)

Step-by-step explanation:

Given functions are f(x) = 4 - x² and g(x) = 6x

We gave to find the expression for (g - f)(3).

(g - f)(x) = g(x) - f(x)

            = 6x - (4 - x²)

            = 6x - 4 + x²

By substituting x = 3 in this expression,

(g - f)(x) = 6(3) - 4 + (3)²

Therefore, option (3) will be the answer.

Answer:

C. 2160π units³

Step-by-step explanation:

Volume of a cylinder is given by the formula :

V = πr²h

Substituting values given gives us :

V = π(12)²(15)

V = π(144)(15)

V = 2160π units³ (since it is volume)

Answer:

\(\boxed{\sf{C. \quad 2160\pi \quad units^3}}\)

Step-by-step explanation:

It is necessary to use their formula to solve this problem with the volume of the cylinder.

Volume of the cylinder formula:

\(\Longrightarrow: \sf{V=\pi r^2h}}\)

\(\sf{12^2(15)}\)

Solve.

Use the order of operations.

PEMDAS stands for:

First, solve with exponents.

\(\sf{12^2=12*12=144}\)

Then, rewrite the problem down.

144(15)

Multiply.

\(\sf{144*15=\boxed{\sf{2160}}}\)

Answer:

Step-by-step explanation:

Part A

Let's see what the total ways of eight might be.

Dice  (6 sides)   Dice (4 sided)

6                               2                            You can't reverse them

5                               3                             You can't reverse these either.

4                               4                              You can't have a meaningful reversal.

That looks like all there is. So what's the universe of this set?

6 * 4 is the total number of combinations.

You have 3 that work.

P(A) = 3/24 = 1/8 = 0.125

=====================

Part B

There are 4 sets of doubles. As you can see, there is not 2 creations, so the answer is

P(B) = 4/24 = 1/6 = 0.1667

=================

Part C

P(A + B) = only 1 instance (4,4)

1/24 = 0.04167

======================

No they are not independent. They can both happen.

Answer:

event that Eitan rolls doubles. Using a sample space of the possible outcomes, answer each of the following questions.

a

Answer:

14 children, 5 women, 1 man

Step-by-step explanation:

14 children which gives us 7 loves. 1 man which gives us 3 loves. 5 women which gives us 10 loves.

People: 14 + 1 + 5 = 20

Loves: 7 + 3 + 10 = 20

The number of men, women, and children among the 20 people would be as follows:

A). There are 5 women, 1 man, and 14 children.

Given that,

No. of bread pieces = 20

No. of people to be divided among = 20

We also know that,

1 man consumes = 3 pieces

1 woman consumes = 2 pieces

1 child consumes = 1/2 piece

Using the trial and error method, we can see that;

20 = (1 man × 3 pieces) + (5 women × 2 pieces each) + (14 × 1/2 piece each)

⇒ 20 = 3 + 10 + 7

∵ 20 = 20

Thus, option A is the correct answer.

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Given equation

x+y=-2

3x+4y=-11

Multiplying the first equation by -3 we have,

-3x-3y=6

Thus adding it with the second equation

y=5

Thus x is eliminated.

The answer is B.-3

Answer:

27%

Step-by-step explanation:

The total books sold were 182 and the amount of books sold that were nonfiction hardcover were 49 as represented in the frequency table.

To find the percentage we must divide the nonfiction hardcover by the total books.

49/182≈0.269 or 0.27

Multiply the decimal by a 100 to change it into a percentage, so our answer is 27%.

Answer:a 27%

Step-by-step explanation:

Answer:

\(\boxed{\boxed{\sf x=42\°}}\)

Step-by-step explanation:

Given the diagram, we can see that ∠PQR and ∠RQS are complementary angles.

*Two angles with measures that add up to 90° are known as Complementary angles.*

Therefore, m∠PQR+m∠RQS=90°

\(\sf \angle PQR+\angle RQS=90\°\)

\(\sf 48+x=90\°\)

Subtract 48 from both sides:

\(\sf 48+x-48=90-48\)

\(\sf x=42\°\)

_______________________________

Answer:

The measurement of x is 42⁰.

Step-by-step explanation:

SOLUTION :

Here, we can see that the given figure is complementary angle.

As we know that two angles are said to be complementary angles if they add up to 90 degrees.

Now, according to the question :

\(\longmapsto{\sf{Sum \: of \: two \: angles = {90}^{ \circ}}}\)

\(\longmapsto{\sf{Angle_1 + Angle_2 = {90}^{ \circ}}}\)

\(\longmapsto{\sf{{48}^{ \circ} + {x}^{\circ} = {90}^{ \circ}}}\)

\(\longmapsto{\sf{{x}^{\circ} = {90}^{ \circ} - {48}^{\circ} }}\)

\(\longmapsto{\sf{{x}^{\circ} = {42}^{\circ} }}\)

\(\star{\underline{\boxed{\sf{\pink{{x}^{\circ} = {42}^{\circ}}}}}}\)

Hence, the measurement of x is 42⁰.

\(\rule{300}{2.5}\)

To create a spider plot showing the effect on profit of varying the availability of resources, follow these steps:

1. Start by setting up your base-case values for each resource. This will be the starting point for your spider plot.

2. Next, create a series of data points for each resource by varying its availability between 90% and 110% of the base-case value in 2% increments. For example, if the base-case value for a resource is 100, you would create data points at 90, 92, 94, 96, 98, 100, 102, 104, 106, 108, and 110.

3. Plot these data points on a spider plot, with the base-case value at the center and the varying values radiating outwards. Each resource should have its own line or "spider leg" on the plot.

4. Finally, add labels and a legend to your spider plot to make it easy to understand which resource is represented by each line and what the varying values mean.

By following these steps, you can create a spider plot that clearly shows the effect on profit of varying the availability of resources.

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Answer:

\(\tan(X)=\dfrac{77}{36}\)

Step-by-step explanation:

First we need to find the length of side WX.

To do this, use Pythagoras' Theorem:  \(a^2+b^2=c^2\)

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

\(\implies WX^2+77^2=85^2\)

\(\implies WX^2=85^2-77^2\)

\(\implies WX=\sqrt{85^2-77^2}\)

\(\implies WX=36\)

Now use the Tan trig ratio:

\(\tan(x)=\sf \dfrac{O}{A}\)

where:

From inspection of the triangle,

Substituting these values into the tan trig formula:

\(\implies \tan(X)=\dfrac{77}{36}\)

Therefore, the tangent of ∠X is \(\dfrac{77}{36}\)

Answer:

77 / 36

Step-by-step explanation:

Finding the adjacent side

Tangent of ∠X