What is the expression of g(x) when we perform the following sequence of transformations onto the parent function fx=|x|:
a) Stretch vertically by a factor of 2;
b) Compress horizontally by a factor of 2

Answers

Answer 1

if stretched vertically by a factor of 2, the resulting function will be g(x) = 2|x| and a horizontal compression by a factor of 2, the resulting function will be 1/2|x|

Transformation of functions

Transformation is a technique used to change the position of an image on an xy-plane.

If the function f(x)is vertically stretched by "a" units, the resulting function will be f(x) = a|x|.

Hence if stretched vertically by a factor of 2, the resulting function will be g(x) = 2|x|

For a horizontal compression by a factor of 2, the resulting function will be 1/2|x|

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Related Questions

The scale on a map is 1 cm : 6 km. If two cities are 13 cm apart on the map, what is the actual distance between the cities?

Answers

Answer:

78 km!

Step-by-step explanation:

13 cm * 6 km per cm = 78 km in actual distance

On a quiz show, Linda won $10 less than three times as much as Charlie. If Linda won $800, how much did Charlie win?

Answers

Using a system of equations, it is found that Charlie won $270.

What is a system of equations?

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

Variable x: Amount earned by Linda.Variable y: Amount earned by Charlie.

Linda won $10 less than three times as much as Charlie, hence:

x = 3y - 10

Linda won $800, hence the amount won by Charlie is found as follows:

800 = 3y - 10

3y = 810

y = 810/3

y = 270

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For the arithmetic sequence beginning with the terms {7, 11, 15, 19, 23 ...}, what is the sum of the first 31 terms?

a.)
1827

b.)
1950

c.)
2077

d.)
2208

Answers

Step-by-step explanation:

here a= 7 ,d=4

then S31= 31/2(7+7+30*4)= 31/2(14+120)= 31/2(134)= 31*67= 2077

hope it helps

The sum of the first 31 terms is 2077.

What is Arithmetic Sequence?

An arithmetic sequence is one in which each phrase grows by adding or subtracting some constant k. In contrast, in a geometric sequence, each term grows by dividing/multiplying some constant k.

We have,

Sequence:  {7, 11, 15, 19, 23 ...}

First term = 7

Common difference, d= 11- 7 = 4

Now, the sum of first 31 st term of sequence

= 31/2 [ 2(7) + (31-1)4]

= 31/2 [ 14 + 120]

= 31/2 x 134

= 31 x 67

= 2077

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Solve: (6x2 + 5x + 1) + (x + 2).

Answers

Answer:

6x+6x2+3

Step-by-step explanation:

6x2+5x+1+x+2

Combine 5x and x to get 6x.

6x2+6x+1+2

Add 1 and 2 to get 3.

6x2+6x+3

The simplified form of the expression (6x² + 5x + 1) + (x + 2) is 6x^2 + 6x + 3.

To solve the expression (6x² + 5x + 1) + (x + 2)

we need to combine like terms.

First, let's remove the parentheses:

6x² + 5x + 1 + x + 2

Next, we combine like terms:

6x² + (5x + x) + (1 + 2)

Simplifying further:

6x^2 + 6x + 3

Therefore, the simplified form of (6x² + 5x + 1) + (x + 2) is 6x² + 6x + 3.

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-4,12-5-22,24-100,37 ordenar de menor a mayor

Answers

Answer: 24 - 100, 12 - 5 - 22, -4, 37

Step-by-step explanation:

Simplificar:

-4 = -4

12 - 5 - 22 = -15

24 - 100 = -76

37 = 37

Ordenar de menor a mayor:

-76, -15, -4, 37

       \/

24 - 100, 12 - 5 - 22, -4, 37

24 - 100=-76
12 - 5 - 22=-15
- 4, lo mismo
37, lo mismo

La orden es:
-76, -15, -4, 37

What is the value of X

Answers

Answer:

x = 10

Step-by-step explanation:

BF   is two times AX   so

2 ( 2x+10) = 5x+10

4x + 20 = 5x + 10

x = 10

Please help with this and pls give all steps!!!

Answers

Answer:

No solutions.

Step-by-step explanation:

Problem:

Solve y−4x=−3;y=4x+7

Steps:

I will solve your system by substitution.

y=4x+7;−4x+y=−3

Step: Solve y=4x+7 for y:

Step: Substitute 4x+7 for y in −4x+y=−3:

−4x+y=−3

−4x+4x+7=−3

7=−3(Simplify both sides of the equation)

7+−7=−3+−7(Add -7 to both sides)

0=−10

Answer:

No solutions.

Answer:

  No solutions

Step-by-step explanation:

It is easiest to determine whether the equations are consistent by putting both of them in the same form.

Adjusting the form

The equation on the left is in "standard form." The one on the right is in "slope-intercept form." We can rewrite either one of them to put it into the other form.

Rewriting the left equation to slope-intercept form, we have ...

  y = 4x -3 . . . . . . . add 4x to both sides

Comparing this to the right equation ...

  y = 4x +7

we see that the slopes are the same, and the intercepts are different. These equations describe parallel lines. Parallel lines can never meet, so cannot have any point in common. The equations are inconsistent and have no solution.

Rewriting the right equation to standard form, we have ...

  y -4x = 7 . . . . . . . subtract 4x from both sides

Comparing this to the left equation ...

  y -4x = -3

we see that the coefficients are the same, but the constants are different. There can be no values of x and y that will satisfy both equations. Any values that make the terms have one sum cannot also make them have a different sum.

There are no solutions.

what is the value of x when (fog)(x)=-8

Answers

The value of x when (f o g)(x) = -8 is 3

How to solve for x?

The composite function is given as:

(f o g)(x) = -8

The above is calculated as:

(f o g)(x) = f(g(x))

So, we have:

f(g(x)) = -8

From the table, we have:

f(-4) = -8

This means that:

g(x) = -4

From the ordered pair, we have:

g(x) = -4 when x = 3

Hence, the value of x is 3

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The value of x when (f o g)(x) = -8 is 3

How to solve for x?

The composite function is given as:

(f o g)(x) = -8

The above is calculated as:

(f o g)(x) = f(g(x))

So, we have:

f(g(x)) = -8

From the table, we have:

f(-4) = -8

This means that:

g(x) = -4

From the ordered pair, we have:

g(x) = -4 when x = 3

Hence, the value of x is 3

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Which statement correctly explains how to prove △ABC∼△DEF?

Answers

Answer:

A

Step-by-step explanation:

calculate the ratios AB/DE BC/EF AND AC/DF。their ratios are 1/2

Answer:

Step-by-step explanation:

the first because the ratio is always from a small to a large triangle, and it is right, the second is wrong, the sides are not congruent, the third is also wrong, the last ratio is wrong

PLEASE HELP ME WITH THIS QUESTION TT ITS A EQUIVALENT QUESTION!!!

thank you!​

Answers

Answer:  [tex]\boldsymbol{\frac{5\text{x}-2}{\text{x}^2-\text{x}}}[/tex]  (choice D)

You have the correct answer.

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

Work Shown:

[tex]\frac{2}{\text{x}} + \frac{3}{\text{x}-1}\\\\\frac{2(\text{x}-1)}{\text{x}(\text{x}-1)} + \frac{3\text{x}}{\text{x}(\text{x}-1)}\\\\\frac{2\text{x}-2}{\text{x}^2-\text{x}} + \frac{3\text{x}}{\text{x}^2-\text{x}}\\\\\frac{2\text{x}-2+3\text{x}}{\text{x}^2-\text{x}}\\\\ \boldsymbol{\frac{5\text{x}-2}{\text{x}^2-\text{x}}}\\\\[/tex]

--------

Explanation:

The idea I used is that we cannot add the fractions unless the denominators are the same. The denominators x and (x-1) lead to the lowest common denominator, aka LCD, of [tex]\text{x}(\text{x}-1) = \text{x}^2 - \text{x}[/tex]. We multiply the denominators together to get the LCD.

The first original fraction [tex]\frac{2}{\text{x}}[/tex] is missing (x-1) in the denominator. This is why I multiplied top and bottom by (x-1) in the 2nd step. Similarly, the fraction [tex]\frac{3}{\text{x}-1}[/tex] is missing an x out front to get to x(x-1). This is why I multiplied top and bottom of that fraction by x.

After we get the denominators to be the same, we can then add the numerators like any other algebraic expression. The denominator stays the same the entire time.

It's similar to how [tex]\frac{2}{7} + \frac{3}{7} = \frac{2+3}{7} = \frac{5}{7}[/tex] has the numerators add like you'd expect while the denominator stays at 7 the entire time.

You can think of it like this: "2 sevenths + 3 sevenths = 5 sevenths" or "2s+3s = 5s" for short. The term "sevenths" is effectively a unit such as cm or meters. We must have common units if we want to add them.

I’m having issues with finding the restriction of the equation in the photo

Answers

Answer:

x = 9

Step-by-step explanation:

Restricted value of the expressionSimplify the equation.Set the denominator to 0.Solve  and find the solution.The solution is the restricted value of the equation.

[tex]\sf \dfrac{(x +7)(x+8)}{(x -9(x + 6)} \ \div \ \dfrac{(x+8)(x - 2)}{(x+ 6)(x - 2)} =\dfrac{(x +7)(x+8)}{(x -9)*(x +6)}*\dfrac{(x + 6)(x - 2)}{(x +8 )(x - 2)}[/tex]

                                                   [tex]\sf =\dfrac{x +7}{x - 9}[/tex]

x - 9 = 0

   x = 9

If we plugin x = 9, then the denominator would become 0 and hence the expression will become undefined.

So, x = 9 is the restricted value of the expression.

which vectors are unit vectors?

Answers

The unit vectors are u = {1, 1}. Option C

What are unit vectors?

Unit vectors can be defined as vector with magnitude of 1.

It is important to note that a unit vector is a vector quantity. Vector quantities are known to have magnitude and direction.

They are represented with the sign 'u'

Thus, the unit vectors are u = {1, 1}. Option C

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Greetings. As a beginner, I'm struggling a bit to learn calculus. May I know what is the derivative of x to the power 4 step by step?
Thanks in advance!

Answers

If you're just starting calculus, perhaps you're asking about using the definition of the derivative to differentiate [tex]x^4[/tex].

We have

[tex]\dfrac{d}{dx} x^4 = \displaystyle \lim_{h\to0} \frac{(x+h)^4 - x^4}h[/tex]

Expand the numerator using the binomial theorem, then simplify and compute the limit.

[tex]\dfrac{d}{dx} x^4 = \displaystyle \lim_{h\to0} \frac{(x^4+4hx^3 + 6h^2x^2 + 4h^3x + h^4) - x^4}h \\\\ ~~~~~~~~ = \lim_{h\to0} \frac{4hx^3 + 6h^2x^2 + 4h^3x + h^4}h \\\\ ~~~~~~~~ = \lim_{h\to0} (4x^3 + 6hx^2 + 4h^2x + h^3) = \boxed{4x^3}[/tex]

In general, the derivative of a power function [tex]f(x) = x^n[/tex] is [tex]\frac{df}{dx} = nx^{n-1}[/tex]. (This is the aptly-named "power rule" for differentiation.)

3
Which expression is equivalent to x-2
O
O O
O
2x-8
13–5x
-5r-8
2x-8
-5x-4
x-2
13–5x
2x-8
-
5
2- 4
x-2
?

Answers

Step-by-step explanation:

[tex] = \frac{ \frac{3}{x - 2} - 5 }{2 - \frac{4}{x - 2} } [/tex]

[tex] = \frac{ \frac{3 - 5.(x - 2)}{x - 2} }{ \frac{2.(x - 2) - 4}{x - 2} } [/tex]

[tex] = \frac{ \frac{3 - 5.(x - 2)}{ \cancel{x - 2}} }{ \frac{2.(x - 2) - 4}{ \cancel{x - 2} }} [/tex]

[tex] = \frac{3 - 5.(x - 2)}{2.(x - 2) - 4} [/tex]

[tex] = \frac{3 - 5x + 10}{2x - 4 - 4} [/tex]

[tex] = \frac{ - 5x + 13}{2x - 8} [/tex]

[tex] = \frac{13 - 5x}{2x - 8} [/tex]

The answer is D.

The equivalent value of the expression is A = ( 13 - 5x ) / ( 2x - 8 )

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

In an equation, the expressions on either side of the equals sign are called the left-hand side (LHS) and the right-hand side (RHS), respectively. The equals sign (=) indicates that the two expressions have the same value, and that the equation is true for certain values of the variables involved.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. It typically consists mathematical operations, such as addition, subtraction, multiplication, division, and exponentiation.

Given data ,

Let the equation be represented as A

Now , the value of A is

[tex]A = \frac{\frac{3}{x-2}-5}{2\:-\:\frac{4}{x-2}}[/tex]

On simplifying , we get

[tex]A = =\frac{\frac{-5x+13}{x-2}}{2-\frac{4}{x-2}}[/tex]

On further simplification , we get

[tex]A = =\frac{\frac{-5x+13}{x-2}}{\frac{2x-8}{x-2}}[/tex]

Therefore , the value of A is A = ( 13 - 5x ) / ( 2x - 8 )

Hence , the equation is A = ( 13 - 5x ) / ( 2x - 8 )

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In the triangle below, what is the measure of

Answers

Answer:

D. 30°

Step-by-step explanation:

QP and QR have the same length "8" , therefore, the triangle is an isosceles triangle. Opposite angles are congruent.

- ∠R = ∠P

- ∠R = 30°

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

2) Express 34m 5cm 6mm in millimeteres​

Answers

Answer:

34079 millimeters

Step-by-step explanation:

__________________________________

I assume you mean millimeters, but

34 m = 34000 millimeter4 cm = 4 centimeters = 40 millimeter5 mm = 5 millimeter

All together adds up to 79 millimeter

34000 + 40 + 5 = 34079 mm

__________________________________

Hope this helped

(Edit) Sorry I didn't see meters

Suppose a batch of metal shafts produced in a manufacturing company have a variance of 9 and a mean diameter of 207 inches. If 72 shafts are sampled at random from the batch, what is the probability that the mean diameter of the sample shafts would differ from the population mean by greater than 0.3 inches

Answers

The probability that the mean diameter of the sample shafts would differ from the population mean by greater than 0.3 inches is 39.54%.

Given mean diameter of 207, variance=9, sample size of 72.

We have to calculate the probability that the mean diameter of the sample shafts would differ from the population mean by greater than 0.3 inches.

The sample mean may be greater than or less than from population mean than 0.3 inches.

Either greater than 207+0.3=207.3 inches,

Smaller =207-0.3=206.7

Since the normal distribution is symmetric these probabilities are equal. So we find one of them and multiply by 2.

Probability of being less than 206.7

P value of z when X=206.7. So

Z=(X-μ)/s

=(206.7-207)/0.35

=-0.3/0.35

=-0.857

p value =0.1977

Probability of differing from population mean greater than 0.3 inches=2*0.1977

=0.3954

=39.54%

Hence the probability that the mean diameter of the sample shafts would differ from the population mean  by greater than 0.3 inches is 39.54%.

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Heheh be svdbtjdjsbddb

Answers

Did u type that by mistake
Well he did become 3x y 6’

What is the equation of the function that is graphed as line a?

Answers

Answer:

Option 1

Step-by-step explanation:

The equations in the options are in the slope-intercept form (y= mx +c, where m is the slope and c is the y-intercept).

In the graph, the line cuts through the y-axis at y= -2. Thus, c= -2 and the 2nd option can be eliminated.

The slope can be found using the formula below.

[tex]\boxed{\text{slope}=\frac{y_1-y_2}{x_1-x_2} }[/tex]

Let's choose 2 points on the line: (0, -2) and (-2, 4)

Slope

[tex]=\frac{4-(-2)}{-2-0}[/tex]

[tex]=\frac{4+2}{-2}[/tex]

[tex]=\frac{6}{-2}[/tex]

= -3

The equation of the line is thus y= -3x -2.

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Convert 2077 to base eight

Answers

To convert 2077₁₀ to base eight is 4035₈

How to convert 2077 to base 8?

Since 2077 is in base 10, to convert it to base 8, we successively divide it by 8 and keep the remainder. We divide until we have zero as the dividend then count the remainder from bottom to top.

So, to convert 2077 to base 8, we have

2077 ÷ 8 = 259 r 5

259 ÷ 8 = 32 r 3

32 ÷ 8 = 4 r 0

4 ÷ 8 = 0  r 4

So, counting the remainders from bottom to top, we have 4035₈

So, 2077₁₀ = 4035₈

So, to convert 2077₁₀ to base eight is 4035₈

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There are 480 students in a school.
and
1
of the students wear glasses.
5
How many of the students do not wear glasses

Answers

Answer:

96 students

Step-by-step explanation:

I am not exactly sure if this question is talking about a 1:5 ratio, but that's what I am assuming. To get 96, you need to replace the 5 with 480 because the problem seems to mean 1 to every 5 people wear glasses. Next, you do 480/5 to get the number on the left side of the ratio. You get 96 when you do that. I am a little confused with the question because it isn't exactly formatted correctly, but this is what I am guessing. Hope this helps!

Find the altitude of this equilateral triangle - geometry

Answers

Answer:

4√3.

Step-by-step explanation:

If the height is h then

tan 60 = h / (1/2*8)

tan 60 = h/4

h = 4 tan 60

   = 4 * √3.

Use any method to solve the equation. If necessary, round to the nearest hundredth.
7x^2-16x=8

Answers

Hello,

Answer:

S = { -0,42 ; 2,71 }

Step-by-step explanation:

7x² - 16x = 8 ⇔ 7x² - 16x - 8 = 0

a = 7 ; b = -16 ; c = -8

Δ = b² - 4ac = (-16)² - 4 × 7 × (-8) = 480 > 0

x₁ = (-b - √Δ)/2a = (16 - √480)/14 ≈ -0,42

x₂ =  (-b + √Δ)/2a = (16 + √480)/14 ≈ 2,71

Answer:

The two answers:

2.707778736

0.42206445

Step-by-step explanation:

Here is the equation:

[tex] {7x}^{2} - 16x = 8[/tex]

Take away the 8 from the right hand side, so that we are left with this quadratic equation:

[tex] {7x}^{2} - 16x - 8 = 0[/tex]

This equation is too complex to solve with the factorizing method, so let's use the quadratic formula, which is as follows:

[tex]x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]

In this equation, a = 7, b = -16, and c = -8. So let's substitute in:

[tex]x = \frac{-( - 16) \pm \sqrt{ { - 16}^{2} - 4 \times 7 \times - 8}}{2 \times 7}[/tex]

[tex]x = \frac{ - ( - 16) \pm \sqrt{256 + 224} }{14}[/tex]

[tex]x = \frac{ 16 \pm \sqrt{480}}{14}[/tex]

And let's work out the two possible answers:.

2.707778736

0.42206445

ASAP please

The sequence of transformations that can be performed on quadrilateral ABCD to show that it is congruent to quadrilateral GHIJ is followed by a--------------.

Answers

The sequence of transformations that can be performed on quadrilateral ABCD to show that it is congruent to quadrilateral GHIJ is a translation followed by a rotation.

What is a transformation?

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation.

Translation is the movement of a point either up, down, left or right on the coordinate plane.

The sequence of transformations that can be performed on quadrilateral ABCD to show that it is congruent to quadrilateral GHIJ is a translation followed by a rotation.

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PLEASE HELP< GEOMTREY SUCKS!!!!!!!!!

Answers

Answer:

The measure of angle DCB = 125

Step-by-step explanation:

This is because angle ACD and angle DCB are supplementary.

Supplementary angles are two angles with a sum of 180 degrees, and we know these angles are supplementary by the fact that angle ACB = 180 degrees.

Help I need this urgently!!!!

Answers

it’s -5/3 because the slope is -1.66667 and -5/3 is -1.66667

Let $m$ and $n$ be positive integers such that $m$ has exactly 5 positive divisors, $n$ has exactly 6 positive divisors, and $mn$ has exactly 14 positive divisors. How many distinct prime factors does $mn$ have

Answers

If [tex]A[/tex] is the set of positive divisors of [tex]m[/tex] and [tex]B[/tex] the set of positive divisors of [tex]n[/tex], then [tex]A\cup B[/tex] is the set of positive divisors of [tex]mn[/tex].

Use the inclusion/exclusion principle:

[tex]|A \cup B| = |A| + |B| - |A \cap B|[/tex]

where [tex]|\cdot|[/tex] denotes set cardinality (the number of elements the set contains). The set [tex]A\cap B[/tex] is the set of common divisors of [tex]m[/tex] and [tex]n[/tex]. Then

[tex]14 = 5 + 6 - |A\cap B| \implies |A\cap B| = 3[/tex]

so that [tex]m[/tex] and [tex]n[/tex] share 3 divisors [tex]d_1,d_2,d_3[/tex]; let [tex]k=d_1d_2d_3[/tex] be their product. They must be prime

This means we can write

[tex]m = p_1 p_2 k[/tex]

[tex]n = p_3 p_4 p_5 k[/tex]

[tex]\implies mn = p_1 p_2 p_3 p_4 p_5 k^2 = p_1 p_2 p_3 p_4 p_5 {d_1}^2 {d_2}^2 {d_3}^2[/tex]

so that [tex]mn[/tex] has up to 8 distinct prime factors.

A full can of milk weighs 70 pounds. If exactly half of the milk is poured out, it weighs 38 pounds. How much does the empty can weigh?

Answers

Answer:

6 pounds

Step-by-step explanation:

Let the can weigh x pounds

Let the milk weigh y when full, therefore half is [tex]\frac{y}{2}[/tex]

Now we for 2 simultaneous equations:

[tex]x + y =70[/tex] ....(i)

[tex]x+ \frac{y}{2}= 38[/tex] .... (ii)

we solve by eliminating the x in both equation throug subtraction

[tex]x - x + y- \frac{y}{2} =70-38\\y- \frac{y}{2} = 32\\\frac{y}{2} = 32\\y=2(32)\\y=64\\x+y=70\\x+64=70\\x=6[/tex]

I really need help!!!


Solve each equation by using the Quadratic Formula. Round to the nearest tenth
if necessary.
72. x²-25=0
75. 2r²+r- 14 = 0
73. r²+25=0
76. 5v^2-7v = 1

Answers

Answer:

72. 5

73. -5

74.r =2.40753645…,−2.90753645

75. v =1.53066238…,−0.13066238

Step-by-step explanation:

The question is on the picture below

Answers

Answer: 54

Step-by-step explanation:

By the inscribed angle theorem, angle ZXY measures half of 108 degrees, which is 54 degrees.

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For tax purposes, a car rental company assumes each car in their fleet depreciates by 7% per year. If the initial value of a car is $32,200.00, what will the value be when the car is 9 years old? When markets and prices are used to allocate, or ration, goods, services, and resources; the allocation is determined primarily by: Select the correct answer.Simplify the polynomial expression.3x(-2x + 7) - 5(x - 1)(4x - 3)OA. -26x2 + 56x - 15B.14x214x + 15OC. -26x2 + 21x - 15OD. -2x2 + 14x - 2 A client is preparing to leave the clinic after her first prenatal visit. What is important for the woman to do before she leaves the office Physical skills that involve the large muscles groups, typically movements of the arms, legs, head, and torso, are called __________ motor skills, while those that involve the more exact movements of the feet and toes and hands and fingers are called _____ motor skills. Execute and explain this program using // in Layman's language. Thank you! The scatter plot shows the number of perishable and nonperishable items customers purchased at a market.Question 1How many people bought 5 nonperishable items?Enter your answer in the box.Question 2What is the median number of perishable items purchased?Enter your answer in the box.Question 3How many people bought the same number of perishable and nonperishable items?Enter your answer in the box. Directions: Indicate product of FOIL for the problem please help me on this Five questions about a speech. Please lend me some brain power.1.)Read the sentence from paragraph 1.One other thing I probably should tell you, because if I don't, they'll probably be saying this about me, too.What kind of fallacious reasoning is used in the sentence? A. loaded language B. hasty generalization C. ad hominem D. slippery slope2.)Which sentence from the speech is an example of an ad hominem attack? A. "I don't agree with Mr. Mitchell when he says that only a rich man should serve his Government in the United States Senate or in the Congress." B. "I think the only man that can save America at this time is the man that's running for President, on my ticket -- Dwight Eisenhower." C. "I remember in the dark days of the Hiss case some of the same columnists, some of the same radio commentators who are attacking me now and misrepresenting my position, were violently opposing me at the time I was after Alger Hiss." D. "And the purpose of the smears, I know, is this: to silence me; to make me let up."3.)Read the excerpt below.I disagree with my opponent on virtually every issue, but heres the main reason: Hes incapable of doing whats right. Every word that comes out of his mouth is a boldfaced lie. If he ever told the truth, the sun would freeze. So, when he says that we need to plant more trees to combat climate change, rest assured, hes saying it for reasons other than combatting climate change. For that reason, we must resist his every word.Which type of faulty reasoning does the author use in this excerpt? A. ad hominem B. loaded language C. hasty generalization D. slippery slope4.)Read the excerpt from paragraph 1.A man down in Texas heard Pat on the radio mention the fact that our two youngsters would like to have a dog. And believe it or not, the day before we left on this campaign trip we got a message from Union Station in Baltimore, saying they had a package for us. We went down to get it. You know what it was? It was a little cocker spaniel dog in a crate that he'd sent all the way from Texas, black and white, spotted.Which sentence best explains the relevancy of the evidence Nixon provides in the excerpt? A. The evidence is not relevant because it does not address the real issue, which is the claim that Nixon misused campaign funds. B. The evidence is relevant because it addresses the real issue, which is the claim that Nixon misused campaign funds. C. The evidence is relevant because it addresses the real issue, which is the claim that Nixon misused his annual expense budget. D. The evidence is not relevant because it does not address the real issue, which is the claim that Nixon misused his annual expense budget.5.)Which sentence from the speech is a false statement? A. "I don't believe that I ought to quit, because I am not a quitter." B. "I have no apologies to the American people for my part in putting Alger Hiss where he is today." C. "We did get something, a gift, after the election." D. "Now let me say this: I know that this is not the last of the smears." Part A Determine whether side-side-angle (SSA) is a valid means for establishing triangle congruence. In this case, you know the measure of two adjacent sides and the angle opposite to one of them. If it is a valid criterion, explain why. If it is not valid, use GeoGebra to create a counterexample demonstrating that it doesnt work and give an explanation. (Hint: Try constructing a triangle where the known angle is opposite to the shortest known side.) If you construct a counterexample, take a screenshot of your work, save it, and insert the image in the space below. When a population is small there is an abundance of resources for all individuals, so the per capita resource availability is high, thus leading to more rapid growth rates (as compared to larger populations). Why then are small populations more likely to go extinct compared to large populations Which is the equation in slope-intercept form for the line that passes through (2, 15) and is perpendicular to 2x + 3y = 4?y=32x+18y=32x12y=23x+18y=32x+18 A blue Jay wanted to store some acorns for the winter. If she hides 18 acorns per tree, she will be left with four acorns; if she hides 20 acorns per tree, there will be extra space for an additional four acorns (the number of trees is always the same). How many acorns is Blue Jay going to store for the winter, and how many trees? HELP! An invertible function is represented by the values in the table.x 3 2 1 0 1 2 3f(x) 4.4 0.6 0.8 1 1.2 2.6 6.4Which graph shows the inverse of this function? The population of fruit flies increases by a factor of 100 each week. How many fruit flies will there be after two weeks if there are 25 fruit flies in the beginning? Write an expression to represent this situation.25 * (1002)100 + (100 * 2)100 + (25 * 2)2 + (25 * 100) Make a scatter plot of the data. Then find an equation of the quadratic function that models the data. 6. Which type of context clue can be used to determine the meaning of the underlined word?After she escaped, Geena the giraffe eluded zookeepers for several hours before she was finally captured. Based on the circle graph how many pounds of milk and eggs does the average American consume each year PLS EXPLAIN FOR BRAINLEST The treaty of Versailles included a war guilt clause that