I need help plz ...........

Answer:

Step-by-step explanation:

It is a vertical parabola. The equation of a vertical parabola can be written in the form y = a(x-h)² + k, where a>0 and (h,k) is the vertex.

You can eliminate G and I because the leading coefficient is negative.

The graph isn't marked with units, but both F and H say that the vertex is at (0,-2), so you know that each square on the graph is one unit.

Now look for another clue.

The x-intercepts are at (-1,0) and (1,0). Plug one of the points into F and H.

F: 0 = 2·1² - 2

H: 0 ≠ 1² - 2

So, F represents the graph.

Answer:

~9.6 years it will be worth 3.23 mil.    

Step-by-step explanation:

This problem requires use of the growth formula.

PART 1:

Equation:

\(3,230,000 = 850,000 * (1.15)^6\)

By solving this you get:

A valuation of $1,966,101.65078125 after 6 years

PART 2:

Equation:

\(3,230,000 = 850,000*(1+.15)^x\)

By solving this (which im too lazy to show the steps for) you get:

x = years

x = ~9.6 years / 9.55196417 years

Midpoint of (10,7) and (5,4)

we know that

The formula to calculate the midpoint between two points is equal to

Answer: The amount of the mark up is 20$

Step-by-step explanation:

find 50 percent of the 40

50 percent is the same as 0.5

0.5*40=20

The player made 38 foul shots.

Let's indicate the player's total number of field goals made by F and foul shots attempted by S. Based on the data in the problem, we may construct an equation system:

F + S = 55 (the player made a total of 55 baskets) (the player made a total of 55 baskets)

2F + S = 89 (the player scored a total of 89 points) (the player scored a total of 89 points)

The substitution approach can be used to find the values of F and S. We start by resolving the initial S equation:

S = 55 - F

Next, we change S in the second equation to the following expression:

2F + (55 - F) = 89

When we simplify and find F, we obtain:

F = 17

Hence, the player connected on 17 field goals. We may change this value of F into the first equation and then solve for S to determine the total number of foul shots:

17 + S = 55

S = 38

The player so scored 38 fouls.

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The graph of the relation can be seen in the image at the end, there we can see that the relation is a function.

A function is a relation where each input is mapped into a single output, where the notation is (input, output).

The inputs go on the horizontal axis and the outputs on the vertical axis.

Here we have the following relation:

(-5,-1), (-4,1), (-3,3), (-1,5), (1,7)

The graph of these points can be seen on the image below. There you can see that there are no two points on the same vertical line, that means that the relation is a function.

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Answer:x=70

Step-by-step explanation:

STEP

1

:

           40

Simplify   ——

           x

Equation at the end of step

1

:

 4    40

 — -  ——  = 0

 7    x

STEP

2

:

           4

Simplify   —

           7

Equation at the end of step

2

:

 4    40

 — -  ——  = 0

 7    x

STEP

3

:

Calculating the Least Common Multiple :

3.1    Find the Least Common Multiple

     The left denominator is :       7

     The right denominator is :       x

       Number of times each prime factor

       appears in the factorization of:

Prime

Factor   Left

Denominator   Right

Denominator   L.C.M = Max

{Left,Right}

7 1 0 1

Product of all

Prime Factors  7 1 7

                 Number of times each Algebraic Factor

           appears in the factorization of:

   Algebraic    

   Factor      Left

Denominator   Right

Denominator   L.C.M = Max

{Left,Right}

x  0 1 1

     Least Common Multiple:

     7x

Calculating Multipliers :

3.2    Calculate multipliers for the two fractions

   Denote the Least Common Multiple by  L.C.M

   Denote the Left Multiplier by  Left_M

   Denote the Right Multiplier by  Right_M

   Denote the Left Deniminator by  L_Deno

   Denote the Right Multiplier by  R_Deno

  Left_M = L.C.M / L_Deno = x

  Right_M = L.C.M / R_Deno = 7

Making Equivalent Fractions :

3.3      Rewrite the two fractions into equivalent fractions

Two fractions are called equivalent if they have the same numeric value.

For example :  1/2   and  2/4  are equivalent,  y/(y+1)2   and  (y2+y)/(y+1)3  are equivalent as well.

To calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier.

  L. Mult. • L. Num.      4 • x

  ——————————————————  =   —————

        L.C.M              7x  

  R. Mult. • R. Num.      40 • 7

  ——————————————————  =   ——————

        L.C.M               7x  

Adding fractions that have a common denominator :

3.4       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

4 • x - (40 • 7)     4x - 280

————————————————  =  ————————

       7x               7x  

STEP

4

:

Pulling out like terms :

4.1     Pull out like factors :

  4x - 280  =   4 • (x - 70)

Equation at the end of step

4

:

 4 • (x - 70)

 ————————————  = 0

      7x    

STEP

5

:

When a fraction equals zero :

5.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 4•(x-70)

 ———————— • 7x = 0 • 7x

    7x  

Now, on the left hand side, the  7x  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  4  •  (x-70)  = 0

Equations which are never true:

5.2      Solve :    4   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation:

5.3      Solve  :    x-70 = 0

Add  70  to both sides of the equation :

                     x = 70

One solution was found :

x = 70

Answer:

Let's call the speed of the jet in still air "j" and the speed of the wind "w".

When flying with the tailwind, the effective speed of the jet is j + w. We know that it can travel 2040 miles in 4 hours, so:

2040 = 4(j + w)

Simplifying this equation, we get:

j + w = 510

When flying into the headwind, the effective speed of the jet is j - w. We know that it can only travel 1560 miles in 4 hours, so:

1560 = 4(j - w)

Simplifying this equation, we get:

j - w = 390

Now we have two equations with two variables:

j + w = 510

j - w = 390

We can solve this system of equations using elimination. Adding the two equations, we get:

2j = 900

Dividing both sides by 2, we get:

j = 450

So the speed of the jet in still air is 450 mph.

Now we can use either equation to solve for the speed of the wind. Let's use the first equation:

j + w = 510

Substituting j = 450, we get:

450 + w = 510

Subtracting 450 from both sides, we get:

w = 60

So the speed of the wind is 60 mph.

Step-by-step explanation:

Check the picture below.

let's notice that the triangle is an equilateral triangle, meaning all its sides are congruent and likewise, all its angles are also congruent.

Answer:

Proofs attached to answer

Step-by-step explanation:

Proofs attached to answer

F(x) = 2x³ - x² + 5x − 3 is the polynomial that is in standard form. Thus, option D is correct.

Algebraic expressions called polynomials can include exponents that are multiplied, divided, or added. Different types of polynomials exist. specifically, monomial, binomial, and trinomial. A polynomial with only one term is referred to as a monomial. A polynomial with two unlike terms is referred to as a binomial. An algebraic expression with three terms is known as a trinomial.

Monomials - The term "monomial" refers to algebraic expressions with a single term. In other words, it is an expression that includes any number of similar terms. Hence the name "Bi"nomial," binomials are algebraic expressions with two unlike terms. Trinomials - Trinomials are algebraic expressions with three dissimilar terms, hence the name "Tri"nomial.

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Answer:

Below

Step-by-step explanation:

r = 1/2 diameter = 4 x^2 y^2

Volume = pi  r^2 h =

            pi  (4 x^2 y^2 )^2   * ( 12 x^2 y^2 ) =

               16 x^4 y^4   *  12 x^2 y^2  * pi

             =  192 x^(4+2) y^(4+2)  pi

             = 192 x^6 y^6  pi

Answer:

Step-by-step explanation:

Perimeter:  

     \(P=(x+y+z) \ cm\)

Semi-perimeter:

     \(SP=\frac{1}{2} (x+y+z) \ cm\)

The area under the curve between two values on the x-axis represents the probability that the random variable falls within that range, with the total area under the curve being equal to 1.

In the graph, the PDF is represented by the smooth curve. The highest point on the curve corresponds to the most likely value of the random variable. In this case, the most likely value appears to be around x = 2.5.

The area under the curve between any two values on the x-axis represents the probability that the random variable falls within that range. For example, the probability that the random variable falls between x = 1 and x = 3 is equal to the area under the curve between those two values.

It's important to note that the probability density function must satisfy the following two conditions:

The total area under the curve must be equal to 1.

The probability of the random variable taking on any specific value is equal to zero, since the function only describes the likelihood of the variable taking on a range of values.

PDFs are often used in statistics to describe continuous distributions, such as the normal distribution, and to make statistical inferences about populations based on samples.

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Answer:

2.14

Step-by-step explanation:

2.14x24=51.36

The value equal to the direct opposite of Samantha's hike from her camp = -18 yards.

As per the given question;

Samantha descends a mountain from her camp.

Samantha discovered that she was 18 yards below the camp on the path she was on.

To locate the value that is the inverse of the distance Samantha hiked from her camp.

Samantha was 18 yards away from the camp.

Samantha hiked for 18 yards underneath the camp (in downwards )

Therefore;

Samantha hiked the opposite distance of 18 yards from the camp.

Samantha hiked for -18 yards.

Thus, the value equal to the inverse of the distance Samantha hiked from her tent = -18 yards

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Answer: 18

Step-by-step explanation:

Answer:

83 kilometres per hour =

51.574 miles per hour

Answer:

\(n=(\frac{1.960(0.18)}{0.03})^2 =138.30\)

So the answer for this case would be n=139 rounded up to the nearest integer

Step-by-step explanation:

For this case we have the following info given:

\(\bar X = 5.5\) the sample mean

\(s = 0.18\) the standard deviation

The margin of error is given by this formula:

\( ME=z_{\alpha/2}\frac{s}{\sqrt{n}}\)    (a)

And on this case we have that ME =0.03 and we are interested in order to find the value of n, if we solve n from equation (b) we got:

\(n=(\frac{z_{\alpha/2} s}{ME})^2\)   (b)

The critical value for 95% of confidence interval now can be founded using the normal distribution and if we look in the normal standard distirbution we got \(z_{\alpha/2}=1.96\), replacing into formula (b) we got:

\(n=(\frac{1.960(0.18)}{0.03})^2 =138.30\)

So the answer for this case would be n=139 rounded up to the nearest integer

Answer:

The test statistics fall in the critical region and hence null hypothesis is to be rejected.

Step-by-step explanation:

The null hypothesis : H0 : Mean = 6.80  

Alternative hypothesis: Ha: Mean is not equal to 6.80

As per the z statistics  

z = (x’-mean)/(sigma/sqrt n)

Substituting the given values, we get –  

z = 6.4-6.8/(1.1/sqrt 10)

z = -1.149

z test statistics is -1.149

Critical value for two tailed test at 98% confidence is .10749

The test statistics fall in the critical region and hence null hypothesis is to be rejected.

The transformation in the picture is option c Reflection.

Given,

Reflection transformation:

A reflection is a transformation that works similarly to a mirror by switching all pairs of points that are directly across from one another along the line of reflection. A mathematical formula or the two sites it passes through can be used to define the line of reflection.

According to the law of reflection, r = I the angle of incidence and reflection are equal. θ r = θ I . At the point where the ray strikes the surface, the angles are measured in relation to the perpendicular to the surface.

Here,

In the picture the transformation is reflection.

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Answer:

y = 25x + 200

Step-by-step explanation:

y =  the total cost of the party

x = the number of guests

75/3 = 25

25 is the cost per guest.

Helping in the name of Jesus.

Answer:

Step-by-step explanation:

that is a regular rhombus, by definition it has perpendicular diagonals, so in the center there are 4 90 ° angles, so your answer is x = 90 °

a) The value in four years is 2,207,626

b) The growth rate percent is 102.5 %

c) It would attain the value in 11 years.

We know that a function has to do with a mathematical rule that is used for the establishment of a fact. We have from the question that the function that models the car is; V = 2000000(1.025)^n

Let us recall that n has to do with the number of years.

a) In four years, the value of the car would be;

V = 2000000(1.025)^4

V = 2,207,626

b) The growth rate percent of the function can  be obtained as;

1.025 * 100 = 102.5 %

c) To obtain the year in which the value of the car would reach 2624173.32, we have;

2624173.32 = 2000000(1.025)^n

2624173.32/2000000 = (1.025)^n

1.312 = (1.025)^n

ln1.312 = n ln (1.025)

n = ln1.312 /ln (1.025)

n = 0.272/0.025

n = 11

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The range of weights that one crate could weigh is between 127.6 and 154.8 pounds.

Harriet has 6 crates of watermelons.

Each crate alone weighs 17.8 pounds and contains between 32 and 36 watermelons.

The weight of each watermelon is between 3.9 and 4.3 pounds.

One crate of watermelons could weigh between 127.6 pounds

(6 crates x 32 watermelons x 3.9 pounds per watermelon + 17.8 pounds crate weight) and

154.8 pounds (6 crates x 36 watermelons x 4.3 pounds per watermelon + 17.8 pounds crate weight).

Therefore, the range of weights that one crate could weigh is between 127.6 and 154.8 pounds.

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The differentiation of \(e\x^{x}\) is \(e\x^{x}\) proved using the first law of differentiation or limit law.

A technique for determining a function's derivative is differentiation. Mathematicians use a procedure called differentiation to determine a function's instantaneous rate of change based on one of its variables. The most typical illustration is velocity, which is the rate at which a distance changes in relation to time.

Differentiation is the ratio of a slight change in one quantity to a little change in another that depends on the first quantity. Calculus' major emphasis on the differentiation of a function makes it one of the subject's key ideas. Differentiation is the process of determining the maximum or lowest value of a function, the speed and acceleration of moving objects, and the tangent of a curve. If y = f(x) and f(x) is differentiable, then f'(x) or dy/dx is used to indicate the differentiation.

\(\frac{d}{dx}e\x^{x}\) using first order or limits to differentiate we get

for \(\lim_{h \to0} \frac{f(x+h) - f(x)}{h} = \frac{d}{dx}f(x)\)

therefore,

\(\lim_{h \to 0} \frac{e\x^{(x +h)}- e\x^{x} }{h} \\\) = \(\lim_{h \to 0} \frac{e\x^{x}(e\x^{h}-1 ) }{h}\) = \(\lim_{h \to 0} \frac{e\x^{x}*e\x^{h} }{1} \\\) ( using L-Hospital)

\(\lim_{h \to 0} e\x^{x} * e\x^{h} = e\x^{x} (proved)\)

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Step-by-step explanation:

-2x(4 - x) = 15

-8x + 2x² = 15

2x² - 8x - 15 = 0

Option → C

Answer:

$34.02

Step-by-step explanation:

10% of 60 is 6, 60-6= $54

10% of 54 is 5.4, 50-5.4= $48.6

30% of 48.6 is 14.58, 48.6-14.58= $34.02