if g(x)=x-2 and h(x)=x^2-1 , what is ( h+g)(x)

Answer:

c.-a²-a-35

Step-by-step explanation:

a(4-a)-5(a+7)

=4a-a²-5a-35

=a²-a-35

Given the figure below, the value of x is  1.4 and z is 5.85 according to vertical angles rule.

Vertical angles, also known as vertically opposite angles, are formed when two lines intersect. Angles that are vertically opposite to one another are always equal. Additionally, a vertical angle and the angle to which it is adjacent are supplementary angles; that is, they add up to 180 degrees.

For instance, if two lines intersect and form an angle, say X=45°, then its opposite angle is also 45°. And the angle next to angle X will be 180 - 45 = 135°. As we know vertical angles of intersection are equal:

63 = (15x + 42)

15x = 21

x = 1.4

For 20z, we know that opposite angle is 20z too

and all angles add upto 360°

So,

63 + 63 + 20z + 20z = 360

126 + 40z = 360

40z = 234

z = 5.85

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Answer:

g(3) = 11

Step-by-step explanation:

g(n) = n^2 +2

g(3) = 3^2 +2

g(3) = 9 + 2

g(3) = 11

The inequality that describes Mr. Clarke's problem is x < 450/3.

This means that the cost of each camera must be less than $450/3, or $150.  This inequality means that Mr. Clarke can spend up to $450 on the cameras, but the amount he spends on each camera must be less than $450 divided by 3, or $150. To calculate this, we take the total budget of $450 and divide it by the number of cameras, which is 3. To solve this, we can use the formula x < 450/3. We can calculate the maximum amount Mr. Clarke can spend on each camera by multiplying 450 by 1/3, resulting in $150. Therefore, Mr. Clarke can spend a maximum of $150 on each camera in order to stay within his budget of $450.

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For the given regular polygon with the angle sum of 10x + 4, the value of x = 143.6

They are referred to as regular polygons if the interior angles and sides are all equal. Equilateral triangles, squares, and other shapes are examples of regular polygons. Along with the sides being congruent, regular polygons also have congruent angles. They are equiangular, according to that.

We know that sum of interior angles of a regular polygon is

( n − 2 ) × 180°, where n is sides

For the given question

( 10 − 2 ) × 180°

= 8 × 180°

= 1440°

Given that

10x + 4 = 1440°

10x = 1436

x =  1436/10

x =  143.6

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Answer;

-2.8m

Step-by-step explanation;

It's just adding m terms, and yes it's adding decimals but you can do it in your head if your good at arithmetic if not your calculator is there to help you out dw

so -5.1m+2.3m is

Answer: -2.8

Step-by-step explanation:

it the answer

For HL congruence, two triangles need to have the same corresponding angles and corresponding sides. This means that the angles in one triangle must match the angles in the other triangle, and the side lengths must match respectively.

HL congruence is a type of congruence between two triangles, which states that two triangles are congruent if they have the same corresponding angles and corresponding sides. The angles of one triangle must be equivalent to the angles of the other triangle, and the side lengths must match.

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The graph of the system of inequality is plotted and attached

In mathematics,  the term inequality refers to a relationship between two expressions or values that is not equal to each other.

Therefore, inequality emerges from a lack of balance.

The graph of the inequality is represented by two horizontal lines one is a dashed line and the other is a solid line

y < 8

This is a dashed line at point y = 8, the dashed line is because the inequality does not have the "equal to".

Also the shading is below the line since it is less than

y ≥ 3

This is a solid line at point y = 3, the solid line is because the inequality have the "equal to". as in greater than or equal to.

Also the shading is above the line since it is greater than symbol.

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Answer:

Madison

Step-by-step explanation:

Madison is the better free throw shooter. We can tell this because her free throw percentage of 78% is higher than Lara's free throw ratio of 24, which is the number of successful free throws out of 100 attempted shots. Hope this helps!

The rocket will reach its maximum height after 7.438 seconds.

An equation shows the relationship between numbers and variables in an expression.

Let y represent the height of the rocket x seconds after its launch.

Given that:

y = -16x² + 238x + 81

The height of the rocket is maximum when the rate of change is zero. Hence:

The rocket reaches it maximum at dy/dx = 0

dy/dx = -32x + 238

-32x + 238 = 0

32x = 238

x = 7.438

The rocket height would be maximum at 7.438 seconds.

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The number 96 into simplest radical form is 4√6.

In the given question we have to simplify the number into simplest radical form.

The given number is 96.

To simplify and obtain the radical form of square roots, we will first identify every element below the square root.

The square factor for 96 is 16.

Now we can factor 96 as 16 * 6.

The radicals are not in their least complicated form, as should be evident.

When we pay close attention now and subtract the square root of 16 * 6.

As √16 = 4 is the starting point, which leads to 4√6.

Currently, all radicals have been upgraded.

Never again will the extreme have any square factors.

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The complete question is:

Simplify the number into simplest radical form. Use the factor tree to help determine the factors 96.

Use the factor tree, the simplest radical form of 64 is 8.

Lets Simplify the number 64 into the simplest radical form.

To solve this, we can use a factor tree.

First, we will start with the number 64. We can break this down into two groups of two numbers, one being 4 and the other being 16.

Next, we can break down the 4 into two groups of two numbers, one being 2 and the other being 2.

Finally, we can break down the 16 into two groups of two numbers, one being 4 and the other being 4.

Now we have our factors, 2, 2, 4, and 4. We can use these factors to simplify the number 64 into its simplest radical form.

The formula for the radical form of a number is √(a × b × c × d).

In this case, our a, b, c, and d values are 2, 2, 4, and 4 respectively.

Therefore, our simplified radical form of 64 is √(2 × 2 × 4 × 4) = √64 = 8.

This means that the simplest radical form of 64 is 8.

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number of minibuses required = 7

Division is the process of dividing some object into a number of parts. It is opposite to the multiplication process. In mathematics, the number that is divided by other number is called dividend and the other number is called divisor.

given, number of tourists = 169

each minibus can accommodate 26 passengers.

number of minibuses required for the total 169 tourists.

will be 169/26 = 6.5 = 7

they need to hire total 7 minibuses for a tour around Tokyo.

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The equation of the line that is perpendicular to y = -2x + 1​ will be y = (1/2)x + 1.

A straight line on the coordinate plane is represented by a linear function.

A linear function always has the same and constant slope.

The formula for a linear function is f(x) = ax + b, where a and b are real values.

As per the given line,

y = -2x + 1​

The slope(m) intercept form of a line is given as,

y = mx + c

By comparing,

Slope m = -2

The product of the slopes of the two perpendicular lines is -1.

Slope of perpendicular line (m') x -2 = -1

m' = 1/2

Put m' = 1/2 and (4,3) into y = m'x + C.

3 = (1/2)4 + C

C = 1

Thus, line will be y = (1/2)x + 1

Hence "y = (1/2)x + 1 will be the equation for the line that is perpendicular to y = -2x + 1.".

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D. y-2 cos(2x) + 4 is not a solution to the differential equation y" + 4y = 0.

The differential equation y" + 4y = 0 is a second-order, homogeneous linear differential equation with constant coefficients. The general solution to this type of differential equation is of the form y = e^(rt) where r is a root of the characteristic equation r² + 4 = 0. The roots of this equation are r = +/- √(4) = +/- 2i, which are both imaginary. Therefore, the general solution to the differential equation is y = c1cos(2x) + c2*sin(2x), where c1 and c2 are arbitrary constants.

Option D. y - 2 cos(2x) + 4 is not a solution to this differential equation because it doesn't have the same form as the general solution. It is a combination of a constant term, cosine and sine function but the general solution only contains sine and cosine function.

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Answer:

D. IT shows it is Exponential function i believe

Step-by-step explanation:

[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{ \cfrac{-2}{3}} ~\hfill \stackrel{reciprocal}{\cfrac{3}{-2}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{3}{-2} \implies {\Large \begin{array}{llll} \cfrac{3}{ 2 } \end{array}}}}[/tex]

Answer:

2

Step-by-step explanation:

i got 100

The volume of the figure is has been determined to be 597.632 cubic centimeters.

The volume of a figure is the amount of substance that it can conveniently contain considering its dimensions. Each figure has a given formula to determine its volume.

Considering the figure in the question, divide it into two parts.

So that,

i. volume of the first part = length x width x height

                                      = 16.25 x 5.8 x 4.6

                                      = 433.55

The volume of the first part is 433.55 cubic cm.

ii. volume of the second part = length x width x height

                                            = (16.25 - 10.1) x 5.8 x 4.6

                                            = 6.15 x 5.8 x 4.6

                                            = 164.082

volume of the second part is 164.082

iii. Total volume of the figure = 433.55 + 164.082

                                           = 597.632 cubic centimeters

The total volume has been determined to be 597.632 cubic centimeters.

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The fourth ordered pair using the two

sequences is ( 7/3 ,106) .

The first sequence is constructed by first multiplying the terms by 2 and then adding one-third starting from zero. So, sequence starts from 0.

First term of first sequence, a₁ = 0

a₂ = (2x0) + 1/3 = 1/3

a₃ = (2x1/3) + 1/3 = 2/3 + 1/3 = 1

a₄ = (2x1) + 1/3 = 2 + 1/3 = 7/3

Hence, the sequence is 0, 1/3, 1, 7/3, ...

The second sequence is constructed by first adding one half in terms and then multiplying by 4. The sequence starts from 1 ,

a₁ = 1

a₂ = (1 +1/2) × 4 = (3/2)4 = 6

a₃ = (6+1/2) x 4 = 13/2 x 4 = 26

a₄ = (26 + 1/2)× 4 = 53/2 x 4 = 106

Hence, the sequence is 1, 6, 26, se106, ...

Therefore, the fourth terms of the two sequences are the following, 7/3 and 106.

So, required ordered pairs is ( 7/3, 106).

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כ

Answer: Simple 75 peanuts for $3.50

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

the X corrdinate ( the first part of the ordered pair) has multiple repeating 0's.The numbers in the X cant repeat or its not a funtion

The results generated in the map phase are combined in the _reduce_ phase.

In maps, the "reduced phase" refers to a technique used to remove the phase ambiguity present in interferometric synthetic aperture radar (InSAR) data. InSAR uses radar to measure the distance between a satellite or aircraft and the ground and can be used to create detailed maps of changes in the surface of the earth over time.

However, because InSAR data is collected using radar waves, which are sensitive to the phase of the signal, the data can be affected by phase ambiguities. The reduced phase technique is used to remove these ambiguities and create more accurate maps.

Therefore, The results generated in the map phase are combined in the _reduce_ phase.

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The value of cosec B if A and B are complementary is 15/7

Two angles are called complementary when their measures add to 90 degrees. Since A+B = 90°, then A and B are complementary. Examples of complementary angles are 45 and 45, 30 and 60, 20 and 70 e.t.c

If sec A is 15/7

sec A= 1/cos A

therefore cos A = 7/15

if cos A = 7/15 , then from law of complementary angles

cos A = sin (90-A)

and 90-A = B

therefore cos A = sinB

if cos A = 7/15, then;

sin B = 7/15

then sinB = 1/cosec B

cosec B = 15/7

therefore the value of cosec B = 15/7

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There are four main datatypes: String, Integer, Float, and Boolean.

String: A string data type is used to store textual data. Strings are usually enclosed in quotation marks, and are used to represent words or phrases.

Integer: An integer data type is used to store numeric values that are whole numbers. Integers are usually used to represent counts or quantities.

Float: A float data type is used to store numeric values that have decimal points. Floats are usually used to represent real numbers, such as money amounts, measurements, and scientific values.

Boolean: A boolean data type is used to store values that can only be either true or false. Booleans are usually used to represent logical values, such as whether a certain condition is met or not.

Datatype is a classification of data which tells the computer how the programmer wants to use the data. It is used to store different types of values such as strings, integers, floats, and booleans. Each data type has its own specific purpose and can be used to store different types of information.

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Answer:

6,004.024

Step-by-step explanation:

Answer:

The number 0.000380 converted to standard form is 3.80 x 10 -4 Note that we do not remove the trailing 0 because it was originally to the right of the decimal and is therefore a significant figure. Additional Resources See the Scientific Notation Calculator to add, subtract, multiply and divide numbers in scientific notation or E notation.

Step-by-step explanation:

The given expression of an [tex]{ }^{44} P_2[/tex] is 1892.

The given expression is [tex]{ }^{44} P_2 & =[/tex]0

[tex]{ }^{n} P_r[/tex]:-

 [tex]{ }^{n} P_r=[/tex][tex]\frac{n !}{(n-r) !} \\[/tex]

where

In the nPr formula, the letter "P" stands for "permutation," which is another word for "arrangement." The nPr formula calculates the number of possible combinations for choosing and arranging r items from the given n items.

Let's imagine that r various objects should be chosen and organised among n different objects. Let's explore some options for how to accomplish this.

Since there are n total objects, there are n methods to select the first one.

The number of options for selecting the second thing is limited because the first object has already been selected (n - 1).

Similar to how there are numerous ways to select the third item (n - 2).

While choosing the [tex]r^{th}[/tex] object, there are only (n - r + 1) objects are left and hence it can be chosen in (n - r + 1) ways.

[tex]{ }^{44} P_2 & =? \\\\P(n, r) & =\frac{n !}{(n-r) !} \\\\44 P_2 & =\frac{44 !}{(44-2) !} \\\\& =\frac{44 \times 43 \times 421}{421} \\[/tex]

=44×43

=1892

[tex]{ }^{44} P_2=[/tex]1892

Therefore, the value of [tex]{ }^{44} P_2[/tex]=1892.

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Answer:

2 & 4 :)

Step-by-step explanation:

To simplify a radical expression, you can use a few different techniques. One common technique is to factor the expression under the radical sign (the radicand) as much as possible.

Another technique you can use is to use the properties of radicals. For example, you can use the product property of radicals to combine like terms under the radical sign

You can also use the quotient property of radicals to divide out a factor under the radical sign. Finally, some radicals are unsimplifiable by these methods. You can approximate a value of radical or try to get it in a form of fraction with radical.

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The probability for the first digit of a random number of a data set to be greater than 7 is 0.097.

Here we are given a probability distribution table regarding Benford's law where all the probabilities about the occurrence of the first digit of a data set are given. As we can see that digit 1 has the highest probability with number 9, the least.

Here we need to find the probability that a randomly selected number, has a first digit greater than 7.

Here we don't have to think about Benford's law since the data already has given us the required distribution.

Hence P(D > 7) = P(D = 8) + P(D = 9)

= 0.051 + 0.046

= 0.097

Hence the probability for the first digit to be greater than 7 is 0.097.

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Correct Question

(Image Attached)

The equation of the line tangent to the curve is -

(y - 6) = 17(x - 1).

The equation of the tangent to the curve y = f(x), passing through the point (a, b) can be written as -

(y - b) = (dy/dx) (x - a)

Given is the curve y = f(x) = x⁴ + 6x² − x.

The given curve is -

y = x⁴ + 6x² − x

f'(x) = dy/dx = d(x⁴ + 6x² − x)/dx

f'(x) = dy/dx = 4x³ + 12x + 1

Now -

f'(x){1, 6} = (dy/dx){1, 6} = 4 x 1 x 1 x 1 + 12 x 1 + 1

f'(x){1, 6} = 17

We can write the equation as -

(y - 6) = 17(x - 1)

Therefore, the equation of the line tangent to the curve is -

(y - 6) = 17(x - 1).

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