A radar gun was used to record the speed of a runner during the first 5 seconds of a race (see table). Use Simpson's rule to estimate the distance the runner covered during those 5 seconds.t(s) 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5v(m/s) 0 2.25 4.7 4.9 5.8 7.95 8.9 10.3 10.75 10.85 10.85

Right-hand bottom graph shows a system of equations with the solution (5, -3).

A diagram that depicts the connection between two values, measures, or other objects as a line or curve.

According to the inquiry,

Due to the fact that the two lines meet at the position where they do, the graph on the bottom right depicts a system of equations with the answers (5, -3) (5, -3).

Therefore, the proper answers to the problem are represented by the bottom right.

Right-hand bottom graph has the proper equations and their answers (5,-3).

Right-hand bottom graph shows a system of equations with the solution (5, -3).

The complete question is

Which graph shows a system of equations with the solution (5, -3)?

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Answer:

C

Step-by-step explanation:

4x is really just 4 times the cost of the drinks +the cost of the pretzel bag so ita 4x+y

The section formula helps to find out the coordinates of points that divide the line in the m:n ratio whereas the midpoint formula helps us to find the midpoint of a line.

The section formula is used in geometry to find out centroid, incenters, etc. It is of two types: Internal division and external division. These types depend on the position of point P.For a point P(x,y) dividing line a(a,b) and B(c,d) in ratio m:n, The

The midpoint formula is used to find the center of a line or a figure. It is a mathematical equation used in geometry and economics. On a line from point (x1,y1) to (x2,y2) the midpoint P= (x1+y1)/2 , (x2+y2)/2. It divides the line in 1:1 ratio.

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1. steps to find the value of x

The first step is to equalize the form of the equation.

y = 6x-11 = -6x+y= -11

-2x-3y = -7

thus becoming:

-6x+y= -11

-2x-3y = -7

Then eliminate y:

-6x+y= -11 | times -3| becomes 18x-3y=33

18x-3y=33

-2x-3y = -7

y in the equation can be eliminated to become:

20x=40

x=40/20

x=2

steps to find the value of y:

The first step is to equalize the form of the equation.

y = 6x-11 = -6x+y= -11

-2x-3y = -7

thus becoming:

-6x+y= -11

-2x-3y = -7

Then eliminate x:

-2x-3y = -7 | multiplied by 3| becomes -6x-9y=-21

-6x+y= -11

-6x-9y=-21

x in the equation can be eliminated to become:

10y=10

y=-10/10

y=1

2.

1. steps to find the value of x

The first step is to equalize the form of the equation.

2x-3y = -1

y = x-1 becomes -x+y=-1

thus becoming:

-2x-3y = -1

-x+y=-1

Then eliminate y:

-x+y=-1| times -3| to 3x-3y=3

-2x-3y = -1

3x-3y=3

y in the equation can be eliminated to become:

-5x=-4

x=4/5

Steps to find the value of y:

The first step is to equalize the form of the equation.

2x-3y = -1

y = x-1 becomes -x+y=-1

thus becoming:

-2x-3y = -1

-x+y=-1

Then eliminate x:

-x+y=-1| multiplied by 2| becomes -2x+2y=-2

-2x-3y = -1

-2x+2y=-2

x in the equation can be eliminated to become:

-5y=1

y=-1/5

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The number of bracelets made is 4 and number of necklaces made is 3.

Linear equations are equation involving one or more expressions including variables and constants and the variables are having no exponents or the exponent of the variable is 1.

Let x be the number of bracelets made and y be the number of bracelets made.

There are total of 7 bracelets and necklaces.

x + y = 7

Amount of gold in each bracelet = 7 grams

Amount of gold in x bracelets = 7x grams

Amount of gold in each necklace = 18 grams

Amount of gold in y necklaces = 18y grams

Total gold used is 82 grams.

7x + 18y = 82

We have two linear equations :

x + y = 7 ⇒ x = 7 - y

7x + 18y = 82

Substituting x = 7 - y in second equation,

7 (7 - y) + 18y = 82

49 - 7y + 18y = 82

11y = 82 - 49

11y = 33

y = 33/11

y = 3

x = 7 - y = 7 - 3 = 4

Hence the number of bracelets and necklaces are 4 and 3 respectively.

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The length of LN is approximately 101.12 cm.

What is the length of the hypotenuse?

In a right triangle, the hypotenuse is the side opposite to the right angle and it is the longest side of the triangle. The length of the hypotenuse can be found using the Pythagorean theorem, which states that the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides.

In a right triangle, the length of the hypotenuse is given by the Pythagorean theorem: c^2 = a^2 + b^2.

In this case, we are given that LN is the hypotenuse, and LP and MN are the other two sides.

We are also given that LP = 100 and MN = 15, and that angle PLN = PNL which means that the triangle is a right triangle.

We can use the Pythagorean theorem to find the length of LN:

LN^2 = LP^2 + MN^2

LN^2 = 100^2 + 15^2

LN^2 = 10000 + 225

LN^2 = 10225

LN = √10225

LN ≈ 101.12 cm

So the length of LN is approximately 101.12 cm.

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Answer:

10^4

Step-by-step explanation:

10= 10^1
10x10 = 10^2 (2 10s)
10x10x10=10^3 (3 10s)
10x10x10x10=10^4 (4 10s)
basically the number of 10s you are multiplying will be the number of exponents you will use in this case.

Answer:

  [tex]A. \;\;b \;is \;greater[/tex]

  [tex]B.\;\;a = 1, b = -4[/tex]

  [tex]C.\;\;a = 6, c = 20[/tex]

Step-by-step explanation:

Part A

We have the relationship

[tex]b = 6a - 10[/tex]

When [tex]a[/tex] is [tex]-2[/tex], the value of [tex]b[/tex] is

[tex]b = 6(-2) -10 = -12 -10 = -22[/tex]

The corresponding value of [tex]c[/tex] for [tex]a = - 2[/tex] is -[tex]21[/tex]

[tex]-21[/tex] is greater than [tex]-22[/tex] so answer is :  [tex]b[/tex]  is greater

Part B

When [tex]c[/tex] is [tex]6[/tex], we see that the value of [tex]a[/tex] from the table is [tex]1[/tex]

The corresponding value of b is:

[tex]b = 6(1) - 10 = 6 - 10 = -4[/tex]

Part C

When [tex]b = 26[/tex], plugging this into the equation[tex]b = 6a - 10[/tex] we get

[tex]26 = 6a - 10\\\\26 + 10 = 6a\\\\36 = 6a\\\\[/tex]

or

[tex]6a = 36[/tex] giving [tex]a = 36/6 = 6[/tex]

For [tex]a = 6[/tex], from the table we see that the corresponding value of [tex]c = 20[/tex](ANS)

Answer: $2.05

[tex]$20.50/10=2.05[/tex]

Term limits have been approved almost everywhere they’ve been on the ballot.

However, the evidence suggests that at the margin, term limits are helpful to the cause of individual liberty. Elhauge’s report showed that term limits lessen the influence of seniority. His research demonstrated that long-term lawmakers from both major parties vote for more bureaucracy than do lawmakers who have been in office for shorter times.

Therefore, term limits have been approved almost everywhere they’ve been on the ballot

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The two types that the boatbill will dominate are grasses and shrubs according to the attached table.

The density of an item is defined as its mass divided by its volume. Density is commonly expressed in grams per cubic centimeter (g/cm3). Remember that grams are a unit of mass and cubic centimeters are a unit of volume (the same volume as 1 milliliter). “Density = mass divided by volume.” Density is a compound metric that tells us about an object's mass in proportion to its volume. The density of a substance is the measure of how densely it is packed together. It is expressed as mass per unit volume. Density Symbol: D or ρ Density Formula: = m/V, where is the density, m is the object's mass, and V is its volume.

Here,

According to the accompanying data, the boatbill will predominate among grasses and bushes.

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Step-by-step explanation:

[tex]\displaystyle\\f(x)=\left\{\begin{array}{ccc}\sqrt{-x-1}\ \ \ if}\ \ \ x\leq -1 \\\frac{x}{x^2-x-2}\ \ \ if\ \ \ -1 < x < 2 \\log_2(x-1)\ \ \ if\ \ \ x\geq 2\end{array}\right[/tex]

Answer:

We can perform a change of units to see that 280 square centimeters is equivalent to 0.028 square meters.

We want to perform a change of units between square centimeters and meters.

Remember the relation:

100cm = 1m

Now we can square both sides of that equation, then we will get:

(100 cm)^2  = (1m)^2

10,000 cm^2 = 1m^2

Then if we have a measure in square centimeters, to transform it into square meters we need to divide that measure by 10,000.

Then:

280 cm^2 = (280/10,000) m^2 = 0.028 m^2

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Step-by-step explanation:

the nth root of something can be expressed as 1/n as exponent.

e.g. sqrt(2) = 2^(1/2).

so, the 5th root of 3⁴ = 3^(4/5)

for f(x) = 3^x

that means that x = 4/5 = 0.8.

so, I go on the x-axis to the right to 0.8, and from there straight up to the actual curve.

that is the desired point.

The area of sector in question 9 is 141.87 ft² and the area of sector in question 10 is 107.70 m².

A circle is a collection of points that are all equally distance from the circle's centre. The radius is the usual distance a circle travels from its centre to its point. The circle's centre (o) and radius (r) serve as its definition (r).

A sector is referred to as a component of a circle made up of the circle's arc and its two radii. It is a section of the circle made up of the arc's circumference and the radii of the circle at its ends.

Given in question 9, r = HK = 25 ft

angle of sector = 26°

so the area of sector A₉ = (26°/360°)π*r²

⇒ A₉ = (26°/360°)* 22/7 * (25)²

⇒ A₉ = (26°/360°)* (22 * 625)/7

⇒ A₉ = 357,500/2520

⇒ A₉ = 141.87 ft²

Given in question 10, SR = 26 m

⇒ r = ST = SR/2

⇒ r = 26/2 = 13 m

angle of sector = 73°

so the area of sector A₁₀ = (73°/360°)π*r²

⇒ A₁₀ = (73°/360°)* 22/7 * (13)²

⇒ A₁₀ = (73°/360°)* (22 * 169)/7

⇒ A₁₀ = 271,414/2520

⇒ A₁₀ = 107.70 m²

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The required function after the trasformation of 3 units right and 1 unit up is given as g(x) = |x - 3| + 3.

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
Given equation of function f(x) = |x| + 2

The above function is an aboslute function, so in order to translate the function right, the function after transformation will be as |x - 3|  + 2, we subtract 3 from x to translate in the horizontal x-axis.
Now,
Add + 1 to the function to translate it 1 unit up,
The function becomes,
g(x) = |x - 3| + 3

Thus, the required function after the trasformation of 3 units right and 1 unit up is given as g(x) = |x - 3| + 3.

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The exponential form of given expression "[tex]8 \times 8 \times 8 \times 8[/tex]" is [tex]8^{4}[/tex] , and the value of this exponential expression is 4096 .

The exponential expression is given as : [tex]8 \times 8 \times 8 \times 8[/tex] ;

we have to represent the given expression in exponential Form ,

The Law Of Exponents states that , when multiplying the numbers having same base and different exponents , then the base is kept same and the exponents are added ,

So , According to  Law Of Exponents ,

the given expression can be written in exponential form as :

⇒ [tex]8 \times 8 \times 8 \times 8[/tex] ;

⇒[tex]8^{1+1+1+1}[/tex]

⇒ [tex]8^{4}[/tex] .

So , the exponential form is [tex]8^{4}[/tex] .

and the value of this expression is = 4096 .

Therefore , the exponential form of [tex]8 \times 8 \times 8 \times 8[/tex] is 8⁴ .

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Answer:

Step-by-step explanation:

H=456,533/pier^2

H=456533×7/22×7×7*. Here 7 as radius

H=29.645cm

The remainder theorem states that the value of f(a) is equal to the remainder for any polynomial f(x) when divided by the binomial xa. The factor theorem states that (xa) is a factor of f(x) and vice versa if an is a zero of a polynomial f(x).

A special example of the polynomial remainder theorem is the Factor theorem. So, according to the factor theorem, a polynomial has a factor if and only if: If and only if f (M) = 0, the polynomial x-M is a factor of the polynomial f(x). According to the Remainder Theorem, the remainder will be if a polynomial (x) is divided by a linear binomial of the kind (x - a) (a).

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To find the midpoint between any two points in a plane using only their coordinates, you can use the midpoint formula. The midpoint formula is:

(x,y) = ((x1 + x2) / 2, (y1 + y2) / 2)

Where (x1, y1) and (x2, y2) are the coordinates of the two points, and (x,y) are the coordinates of the midpoint.

For example, if we have two points (-2,8) and (4,10)

(x,y) = ((-2 + 4) / 2, (8 + 10) / 2)

(x,y) = (1,9)

The midpoint of the given points (-2,8) and (4,10) is (1,9).

It's worth noting that this formula can be adapted for three-dimensional points, where the midpoint formula would be

((x1 + x2)/2, (y1 + y2)/2, (z1 + z2)/2)

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Answer:

The solutions are:

(1,-4), and (-11,56)

Step-by-step explanation:

10 + y = 5x + x^2

5x + y = 1

Rearrange both equations to isolate y:

y = x^2 + 5x - 10

y = -5x+1

Since y=y, we set set the right sides of both equations equal to each other:

-5x+1 = x^2 + 5x - 10

Rearrange

-x^2 - 10x + 11 = 0

x^2 +10x - 11 = 0

Factor

(x+11)(x-1) = 0

x = -11 and 1

Use these two values of x to find y.  We'll use the simpler equation of

y = -5x+1.

 x     _y

 1      -4      (1,-4)

-11      56    (-11,56)

See the attached graph for proof.

Answer:

TRUE

Step-by-step explanation:

(2x^2-5x-3)/(x-3) = (2x+1)

(2x^2)/(x-3) - (5x)/(x-3) - 3/(x-3) = (2x+1)

 [separated each term on the left side]

(2x^2)- (5x) - 3 = (2x+1)(x-3)

2x^2- 5x - 3 = (2x+1)(x-3)

(2x+1)*(x-3) = (2x+1)(x-3)

Both sides are the same.  The equation is TRUE.

Answer:

x=6/5

y=1/5

z=14/5

i think i  not 100% sure

The fractions with the common denominators are given as follows:

The inequality relating the fractions is given as follows:

4/7 > 5/9.

A fraction is a numerical representation of the division of the two terms x and y, as follows:

Fraction = x/y.

The terms are classified as follows:

The fractions for this problem are given as follows:

The denominators are given as follows:

7 and 9.

The least common multiple of 7 and 9 is given as follows:

7 x 9 = 63.

Hence the equivalent fractions are given as follows:

The equivalent fractions have the same denominator, while the equivalent fraction to 4/7 has the greater numerator, hence the inequality is given as follows:

4/7 > 5/9.

The problem is given by the image presented at the end of the answer.

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Answer:

The number line that represents the inequality 6x - 12 > -6 is (D)

How to determine the number line?

The inequality is given as:

6x - 12 > -6

Add 12 to both sides

6x > 12 - 6

Evaluate the difference

6x > 6

Divide both sides by 6

x > 1

The number line that represents the above inequality is (D)

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Answer:

i tink im doing this complete wrong but 1.380649×10−23 J

Step-by-step explanation:

The correct statements are,

The area of the base, B, is 8 feet squared.

The expression one-third (8) (2) (6) can be used to find the volume of the pyramid.

A tetrahedron is a polyhedron in geometry that has four triangular faces, six straight edges, and four vertex corners. It is often referred to as a triangle pyramid. The tetrahedron is the simplest and only regular convex polyhedron with less than five faces.

Given that a triangular pyramid. The base has a base of 8 feet and a height of 2 feet. The pyramid has a height of 6 feet. The volume of the triangle is calculated as,

The area of the base,

A = 1/2 x b x h

A = 1/2 x 8 x 2

A = 8 feet

The volume will be calculated by the formula,

Volume = 1 / 3 x Base are x h

Volume = 1 / 3 x 8 x 2 x 6

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Lindsay's z - score, given the mean score, the standard deviation, and her score, is 2. 35.

To calculate a z-score, you subtract the mean from the individual score and then divide by the standard deviation.

The formula is:

z = (x - μ) / σ

Where

x is the individual score

μ is the mean

σ is the standard deviation.

So, to find Lindsay's z-score:

z = (98 - 78.2) / 8.4

z = 19.8 / 8.4

z = 2.35

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