HELP!! PLS JT WONT TAKE LONG. IS THIS PHOTO CURVE A NORMAL DISTRIBUTION. WHY OR WHY NOT.

Answer:

see below

Step-by-step explanation:

A

The hypotenuse is ALWAYS the longest side of a right triangle, and located Directly Across from the Right Angle: c = √79

Pythagorean Theorem:  a² + b² = c²

a = 2√5

b = ?

c = √79

(2√5)² + b² = (√79)²

20 + b² = 79

b² = 59

√b² = √59

b = √59 = KJ

B

tan=opposite side / adjacent side

From I, KJ is opposite;  and IK is adjacent

tan(I) = √59/(2√5) ≈ 1.72

C

cos=adjacent side / hypotenuse

From J, KJ is adjacent;  and IJ is the hypotenuse

cos(J) = √59/√79 ≈ 0.86

The expression equivalent to 7x³ × (x⁸) × 2 is  14x¹¹.

Two expressions are said to be equivalent if they have the same value irrespective of the value of the variable(s) in them.

In other words, two algebraic expressions are said to be equivalent if their values obtained by substituting the values of the variables are the same.

Therefore,

7x³ × (x⁸) × 2

Using the law of indices,

[tex](x^{a}) (x^{b} ) = x^{a+b}[/tex]

Hence,

7x³ × (x⁸) × 2 = 7x³ × 2x⁸

7x³ × 2x⁸ = 14x¹¹

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The expression that shows the number of miles he drove and trips he made to San Diego is; 3850 + yb

Let a round trip to Los Angeles be denoted by the variable; x

Let the number of miles in a round trip to Los Angeles be denoted by the variable a

Let a round trip to San Diego be denoted by the variable: y

Let the number of miles in a round trip to San Diego be denoted with the variable: b

This means that our algebraic equation representing the number of miles driven in all to be: xa + yb

Since the truck driver made 5 round-trips to Los Angeles, then it means that, we have the equation;

5a + yb as the total miles driven in all.

However, from the table attached, a round trip to  Los Angeles  is 770 miles. Thus;

Total miles driven = 5(770) + yb = 3850 + yb

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The altitude of the balloon found using Pythagorean Theorem is 40·√3 feet, the best correct option is option C)

C) 40·√3 ft

The Pythagorean Theorem states that the square of the hypotenuse side of a right triangle is the same as the sum of the square of each of the two legs of the right triangle.

15) The parameters in the question includes;

Horizontal distance of the flag pole from the point the rope is staked down = 40 feet

Length of the rope to which the balloon is secured = 80 feet

Location of the balloon = directly above the flag pole

Therefore, the altitude of the balloon, the length of the rope, and the horizontal distance from the flag pole from the point the rope is staked form a right triangle, with the length of the rope representing the hypotenuse side.

Let h represent the altitude of the flag pole, using Pythagorean Theorem, we get;

80² = 40² + h²

Therefore; h² = 80² - 40² = 4800

The altitude of the balloon, h = √(4800) = 40·√3

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Answer:

-4 acceleration

Step-by-step explanation:

: )

The inequality for the annual family income is:

y < 1240x + 48,200

What is inequality?

An inequality in mathematics depicts the connection between two values in an algebraic statement that are not equal. One of the two variables on the two sides of the inequality may be greater than, greater than or equal to, less than, or less than or equal to another value, according to inequality signals.

Let x=0 be the year 2006

The inequality is:

y < 1240x + 48,200

Graphing:

Consider equal sign in place of < symbol

Take random values for x, find corresponding y values and plot them

Mark it as dashed line as shown in the graph because of the inequality symbol "< "

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The main differences between the place value of the whole number and the decimal is given below

What is decimal ?

Integer and non-integer numbers are often expressed using the decimal numeral system. The Hindu-Arabic numeral system has been expanded to include non-integer values. Decimal notation is the term used to describe how numbers are represented using the decimal system.

A decimal is a number with a whole and a fractional component. Decimal numbers, which are in between integers, are used to express the numerical value of full and partially whole amounts.

Decimals can be classified as non-recurring (as in not repeating or ending), recurring (as in repeating or not terminating), and decimal fractions (a.k.a. converting a decimal into a fraction whose denominator is a power of ten).

The whole number part of the decimal number is the part that lies strictly to the left of the decimal point, and the place value of each digit in the whole number part is given .

The fractional part of the decimal number is the part that lies strictly to the right of the decimal point.

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Answer:x=1/2

Step-by-step explanation:

[tex]5^{2x+1} =5^{2}[/tex]

2x+1=2

2x=1

x=1/2

Answer:

Step-by-step explanation:

2+0 is zero I mean two and 1+1 is two and 5+ I forgot something and you know you just need to add them up together in it at all your answer

Answer:

The correct answer is 514.90

Step-by-step  

The weight of the male that has a body surface area of 2.3 would be = 108kg

The body surface area (BSA) is defined as the parameter that can be used to estimate the surface area of a person's body based on body weight and height.

The formula for BSA = √w×h/3600

The weight of the male = X

The height of the male = 176cm

The BSA = 2.3

From the formula, make w the subject of formula;

w = BSA²× 3600/h

w = 2.3²× 3600/176

w= 5.29×3600 /176

w = 19044/176

w = 108kg

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An expression that represent the sum of  (7x-y) and (5x+3y) in simplest terms is 12x + 2y

The given expressions are  (7x-y) and (5x+3y)

The applying the addition property of equality we have

= (7x - y) + (5x + 3y)

= 7x - y + 5x + 3y

collecting like terms

= 7x + 5x - y + 3y

= 12x + 2y (in simplest terms)

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Answer:

Step-by-step explanation:

Dan drove for 1.6 hours.

64 miles per hour (mph) is the unit rate so divide by 102.4 by 64 and you get 1.6

Answer: The sale price per dozen would we around $6.80 with no tax included.

Step-by-step explanation:

Answer: 7

Step-by-step explanation:

The ratios are as follows

Ratio of boys to girls = 2:3

Ratio of girls to boys = 3:2

Ratio of tomato plants to lettuce plants = 1:2

Ratio of lettuce plants to cucumber plants = 4:1

Unit rate = $4

Cost of buying 20 copies = $80

What are ratios?

Ratios compare two numbers, usually by dividing them.

If you are comparing one data point (A) to another data point (B), your formula would be A/B. This means you are dividing information A by information B.

For example, if A is five and B is 10, your ratio will be 5/10.

According to the given question:

1) There were 6 boys and 9 girls on the camping trip.

Ratio of boys to girls = 6:9 = 2:3

Ratio of girls to boys = 9:6 = 3:2

2) There are 4 tomato plants, 8 lettuce plants, and 2 cucumber plants in Jill's garden.

Ratio of tomato plants to lettuce plants = 4:8 = 1:2

Ratio of lettuce plants to cucumber plants = 8:2 = 4:1

3)  If Jan can buy 10 copies of a certain book for $40

Unit rate = 40/10 = $4

Cost of buying 20 copies = 20 x 4 = $80

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Step-by-step explanation:

Step 1: 2x²--7x²=9x²

Step 2: 2x--7x=9x

Step 3: -7-+2=-9

Overall answer: 9x²+9x-9

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Answer:

4.) m > 7

5.) k + (-5) > 30 (The ">" has a line under It)

6.) 0.875

I don't know what it means when it says "graph the solution set" but I simplified it for you!

The value of x is 1.2

What is the solution to an equation?

In order to make the equation's equality true, the unknown variables must be given values as a solution. In other words, the definition of a solution is a value or set of values (one for each unknown) that, when used as a replacement for the unknowns, transforms the equation into equality.

6-4x = 6x-8+2

group the variable and constant terms

6 +8 -2 = 6x +4x = 10x

12= 10x

=> x= 12/10 = 1.2

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I guess it sort of depends on whether you are folding the rectangle in half "long-ways" or "short-ways", however, if the rectangle is folded "long-ways", then the length of the new long side would be 5.5, with the shorter end being 4.25, or just 4.2.

Hope this helps!

Answer:

16

Step-by-step explanation:

You must use the Pythagorean theorem to find w. Because you are looking for a leg, you must do a² - b² = c². This translates to 20² - 12² = w². If you enter the numbers into your calculator 20²- 12² = 256. You must then square root 256, and if you input √256 into your calculator you will get your final answer of w = 16.

Answer:

width = 4in

length = 8in

Step-by-step explanation:

A = LxW = 32

L = W + 4

W(W+4) = 32

W² + 4W - 32 = 0

(W + 8)(W - 4) = 0

W ≠ -8 (dimensions cannot be negative)

W = 4in

L = W+4 = 4+4 = 8in

a) The ball reaches a maximum height of 182.25 feet.

b) The ball has a travel time of 6 seconds.

In this case we find a kind of uniform accelerated motion known as free fall, in which a particle is accelerated uniformly by gravity and any effect of other forces are neglected. The height of the ball in terms of time is described by a quadratic equation, whose definition is shown below:

h(t) = h' + v' · t + 0.5 · g · t²

Where:

First, write the complete the equation of the height of the ball:

h(t) = - 16 · t² + 84 · t + 72

a) Second, clear the expression on one side and use the discriminant of the quadratic formula:

- 16 · t² + 84 · t + [72 - h(t)] = 0

84² - 4 · (- 16) · [72 - h(t)] = 0

7056 + 64 · [72 - h(t)] = 0

7056 + 4608 - 64 · h(t) = 0

11664 - 64 · h(t) = 0

h(t) = 729 / 4 ft

h(t) = 182.25 ft

The maximum height of the ball is 182.25 feet.

b) Third, use the quadratic formula to determine the roots of the quadratic equation:

t = - 84 / [2 · (- 16)] ± [1 / [2 · (- 16)]] · √[84² -  4 · (- 16) · 72]

t = 2.625 ± (1 / 32) · 108

t₁ = 6 s and t₂ = -0.75 s

The travel time of the ball is 6 seconds.

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Answer:

  (a)  $479.50

Step-by-step explanation:

You want to know how much the friend with the smaller bedroom will pay for rent if they split the $975 cost based on the square footage of each bedroom. The two bedrooms in the 1225 square foot property are 130 and 150 square feet.

Apparently, the cost of the non-bedroom area is to be split evenly. That common area is ...

  1225 ft² -(150 +130) ft² = 945 ft²

Then the proportion due from the occupant of the smaller bedroom is ...

  (945/2 +130)/1225 = 241/490 ≈ 0.49184

That fraction of the rent is ...

  0.49184 · $975 = $479.54

The nearest answer choice is $479.50.

__

Additional comment

If we were to assume the split is based only on bedroom size, then the rent paid for the 130 ft² space would be (13/28)($975) ≈ $452.68. This would be equivalent to splitting the rent for the common area in the same proportion as for the bedrooms.

We note that half the rent is $487.50, a number less than either of the last two answer choices. Those can be rejected for that reason. (The smaller bedroom is expected to pay less than half of the rent.)

The number makes the expression equivalent is m = 0.2584.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, An expression 12(- 1.4m + 0.4) = m + 0.2.

- 16.8m + 4.8 = m + 0.2.

- 16.8m - m = 0.2 - 4.8

- 17.8m = - 4.6.

m = (-4.6/-17.8).

m = 0.2584.

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Answer:

5/3 is the slope

Step-by-step explanation:

Use the slope formula

m = y2 - y1/ x2 -x1

Answer:

Slope = 5/3

Step-by-step explanation:

Formula we use,

→ Slope = (y2 - y1)/(x2 - x1)

Now the required slope will be,

→ m = (y2 - y1)/(x2 - x1)

→ m = (12 - 7)/(5 - 2)

→ [ m = 5/3 ]

Hence, required slope is 5/3.

Answer:

A.  x = 3

B.  A = (3, 2)

C.  V = (-1, 2)

D.  Left

E.  See below.

F.  p = -4

[tex]\textsf{G.} \quad x=-\dfrac{1}{16}(y-2)^2-1[/tex]

H.  See attachment.

[tex]\textsf{J.} \quad x=\dfrac{1}{4}(y-3)^2+3[/tex]

     [tex]x=-\dfrac{1}{12}(y+1)^2+5[/tex]

Step-by-step explanation:

The given focus of the parabola is F (-5, 2).

The equation for a vertical line is x = a.

Therefore, a vertical line that is 8 units to the right of the focus is:

[tex]\implies x=-5+8=3[/tex]

Therefore:

A line that is perpendicular to the directrix is a horizontal line.

The equation for a horizontal line is y = a.

As the horizontal line passes through the focus:

The point of intersection, A, of the axis of symmetry and the directrix is:

The vertex of the parabola is the point that is halfway between the focus and the directrix.

Therefore:

The parabola will open sideways as the axis of symmetry is horizontal.

As a parabola never touches its directrix, this parabola will open to the left.

The absolute value of p is the distance between the vertex and the focus, and the distance between the vertex and the directrix.

For a sideways parabola, if p > 0 the parabola opens to the right, and if p < 0 the parabola opens to the left.

Since the focus and directrix are 8 units apart, and the parabola opens to the left:

Vertex form of a sideways parabola:

[tex]\boxed{x=\dfrac{1}{4p}(y-k)^2+h}[/tex]

Given:

Substitute the values into the formula:

[tex]\implies x=-\dfrac{1}{16}(y-2)^2-1[/tex]

See attachment.

Rearrange the equation of the parabola shown in the attachment:

       [tex]y^2+16x-4y=-20[/tex]

[tex]\implies 16x=-y^2+4y-20[/tex]

[tex]\implies 16x=-(y^2-4y+4)-16[/tex]

[tex]\implies 16x=-(y-2)^2-16[/tex]

[tex]\implies x=-\dfrac{1}{16}(y-2)^2-1[/tex]

This matches the equation in vertex form in part G.

Given:

Therefore:

Therefore, the equation of the parabola with the given parameters is:

[tex]\boxed{x=\dfrac{1}{4}(y-3)^2+3}[/tex]

Given:

Therefore:

Therefore, the equation of the parabola with the given parameters is:

[tex]\boxed{x=-\dfrac{1}{12}(y+1)^2+5}[/tex]

Answer: 5.66

Step-by-step explanation:

The perimeter of the square being 32, the sides are 8 units. The diameter of the circumscribing circle is the diagonal of the square which is 8 sec 45 = 11.3 units. Hence, the radius of the circle = 5.66 units.

Answer:

520

Step-by-step explanation:

390/3=130, 130x4=520