During a 1966 Tabiona High School track meet, Levere ran the 100 yard dash in
10.63 seconds. Ross took second with a time of 10.98 seconds.
a. Levere’s time was _______% shorter than Ross’.
b. Ross’ time was _______% longer than Levere’s.
c. Levere’s time was _______% of Ross’.

Answer:it’s 3

Step-by-step explanation:

Source trust me bro

Answer:

B

Step-by-step explanation:

B . x+3 and -2x2 - 4x +47-6

B . x+3 and -2x2 - 4x +47-6

The divisor and the dividend for the given synthetic division problem are : [tex]x+3[/tex] and [tex]2x^3+4x^2-4x+6[/tex]

"It is a way of dividing one polynomial by another polynomial of first degree."

"The value that is divided by another value to get the result. "

"The value that divides another number either completely or with a remainder."

For given question,

We have been given a synthetic division problem.

- 3/ 2 4 -4 6

We need to represent the divisor and the dividend for the given synthetic division problem.

We know that, to perform synthetic division, here are the steps:

- The leading coefficient of the divisor should also be 1.

- Express the dividend in standard form.

- Write the leading coefficient in the dividend.

- Place the product of the number you brought down and the number in the division box in the preceding column.

- Write the result at the bottom of the row.

So, the divisor of the given synthetic division form would be,

x - (-3) = x + 3

And the dividend of the given synthetic division form would be,

There are four leading coefficient.

This means the dividend polynomial must be of degree 3.

From the leading coefficients 2 4 -4 6

[tex]2x^3+4x^2-4x+6[/tex]

Therefore, the divisor and the dividend for the given synthetic division problem are : [tex]x+3[/tex] and [tex]2x^3+4x^2-4x+6[/tex]

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Answer:

In a pair of similar triangles, the corresponding sides are proportional.

Step-by-step explanation:

Corresponding sides touch the same two angle pairs. When the sides are corresponding it means to go from one triangle to another you can multiply each side by the same number.

Answer:

The answer to your questions are given below.

Step-by-step explanation:

To answer the question given above, we shall determine the value of x in each equation. This can be obtained as follow:

5x - 2x - 4 = 5

3x - 4 = 5

Collect like terms

3x = 5 + 4

3x = 9

Divide both side by 3

x = 9/3

x = 3

5x - (3x - 1) = 7

Clear the bracket

5x - 3x + 1 = 7

2x + 1 = 7

Collect like terms

2x = 7 - 1

2x = 6

Divide both side by 2

x = 6/2

x = 3

x + 2x + 3 = 9

3x + 3 = 9

Collect like terms

3x = 9 - 3

3x = 6

Divide both side by 3

x = 6/3

x = 2

2(2x - 3) = 6

Clear the bracket

4x - 6 = 6

Collect like terms

4x = 6 + 6

4x = 12

Divide both side by 4

x = 12/4

x = 3

4x - (2x + 1) = 3

Clear the bracket

4x - 2x - 1 = 3

2x - 1 = 3

Collect like terms

2x = 3 + 1

2x = 4

Divide both side by 2

x = 4/2

x = 2

5(x + 3) = 25

Clear the bracket

5x + 15 = 25

Collect like terms

5x = 25 - 15

5x = 10

Divide both side by 5

x = 10/5

x = 2

SUMMARY:

x = 2

x + 2x + 3 = 9

4x - (2x + 1) = 3

5(x + 3) = 25

x = 3

5x - 2x - 4 = 5

5x - (3x - 1) = 7

2(2x - 3) = 6

Answer:

(3,5)

Step-by-step explanation:

After transformation the point will be (3, 5).  

A rotational transformation can be done clockwise or anticlockwise to certain number of degrees. Rotational transformation does not alter the size and shape of the figure.

Rotating (4,-1) 90° anticlockwise centred at the origin yields the point (1, 4).

Then transforming the point (1, 4) two units to the right and 1 unit up results in the point (3, 5).

We can also rotate 90° clockwise that would result in some different point on this coordinate system.

Instead on a straight line we can also have some 2D figures like a triangle a rectangle etc.

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Answer:

110 feet

Step-by-step explanation:

Take x as the width of the field.

4x = 440 feet

x = 440 feet ÷ 4

x = 110 feet

So, the field is 110 feet wide #

Answer:

absolutely yes, because pythagorean theorem is used in a right triangle

and when we match a line from the tee to the hole, we have a right triangle

Step-by-step explanation:

Answer:

B. x = 2.77

Step-by-step explanation:

3^x = 21

You first look for a base for 21 that is 3 to the power of something.

21 = 3^2.77

So 3^x = 2^2.77

They have the same base so

x= 2.77

Solution :

P(H) = 0.7  ;  P(T) = 0.3

If heads, then Urn H,  1 blue and 4 red marbles.

If tails, then Urn T ,  3 blue and 1 red marbles.

a).

P ( choosing a Red marble )

= P (H) x P( Red from Urn H) + P (T) x P( Red from Urn T)

[tex]$=0.7 \times \frac{4}{5} + 0.3 \times \frac{1}{4}$[/tex]

= 0.56 + 0.075

= 0.635

b).  If P (B, if coin showed heads)

If heads, then marble is picked from Urn H.

Therefore,

P (Blue) [tex]$=\frac{1}{5}$[/tex]

             = 0.2

c). P (Tails, if marble was red)

[tex]$=P (T/R) = \frac{P(R/T)}{P(R)} \ P(T)$[/tex]

Where P (R/T) = P ( red, if coin showed tails)

                        [tex]$=\frac{1}{4}$[/tex]

                        = 0.25 (As Urn T is chosen)

P (R) =  P (Red) = 0.635 (from part (a) )

P (T) = P (Tails) = 0.3

∴ [tex]$P(T/R) = \frac{0.25 \times 0.3}{0.635}$[/tex]

                = 0.118

Answer:

coefficient of determination

Step-by-step explanation:

The Coefficient of determination, R² which is the squared value of the correlation Coefficient is used to give Tha proportion of variation in the predicted / dependent variable that can be explained by the regression line. The coefficient of determination ranges from 0 to 1. Once the proportion of explained variation is obtained, the proportion of unexplained variation is ( 1 - proportion of explained variation).

Answer:

count the number of places it is. The 5 in 458,039 is in the 10,000 place and the 5 in 271,145 is in the ones place so the 5 in 458,039 is 10,000 times greater

The figure has rotational symmetry from the given options is shown in Figure B.

When a figure is rotated (by a certain amount) about a set point on its surface (often the center), and retains its original appearance, it is said to have rotational symmetry.

According to the given question,

We have the given options in this question:

Assuming that the problem in this instance does not require full rotation (because after full rotation, any figure appears to itself when it returns to its original location as it did before), the first figure that possesses rotational symmetry can be chosen.

It is because you obtain the same figure whether you rotate the first figure by a quarter, half, or quarter and a half rotation. For any of the other stated figures, it won't occur (you can imagine those figures rotating, and then will notice that only option B has rotation symmetry for other angles in addition to full rotation).

Therefore, the figure from the listed figures which has rotational symmetry is Figure B.

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9514 1404 393

Answer:

  3

Step-by-step explanation:

20 has at most 3 proper factors greater than 1: 2×2×5. Each of these can represent a prime factor of the number of interest, and is 1 more than that prime's power. That is, the number of interest (n) will have at most 3 prime factors p, q, r, and will be ...

  n = p·q·r^4

_____

For some prime factorization ...

  [tex]\displaystyle n=\prod_{k=1}^m{p_k^{q_k}}[/tex]

The total number of divisors of n is ...

  [tex]\displaystyle\prod_{k=1}^m{(q_k+1)}[/tex]

Answer:

b

Step-by-step explanation:

Because only the customers who spend more than $100 get to complete the form. The other customers wont be able to complete it(people who spent less than $100). thats why the answer would be sampling bias.

Answer:

the answer is C

Step-by-step explanation:

Answer:

first one is going to be

5.94x10¹¹

second one is going to be

6.89225x10³

The base of the triangular garden is calculated as 40 ft

The given parameters include:

The area of a triangle is given as;

[tex]Area \ = \frac{1}{2} \times \ base \times \ height\\\\A = \frac{1}{2} bh\\\\2A = bh\\\\b = \frac{2A}{h} \\\\Recall, \ b= 30 + h\ \ \ and \ A = 200\\\\30+ h = \frac{2(200)}{h} \\\\30 \ + h = \frac{400}{h} \\\\30h + h^2 = 400\\\\h^2 + 30h - 400= 0\\\\Factorize \ the \ above \ expression\\\\h^2 + 40h- 10h- 400 = 0\\\\h(h + 40) - 10(h + 40) = 0\\\\(h- 10)(h+40)= 0\\\\h = 10 \ \ or \ \ -40\\\\since\ the \ height \ can't \ b e\ negative\\\\h = 10 \ ft\\\\[/tex]

Now solve for 'b' = 30 ft + 10 ft  =  40 ft

Therefore, the base of the garden is 40 ft

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Answer:

Step-by-step explanation:

The answer is B

if you have 2^3 * 2*4 to find out what that equals, leave the base (2) alone and add the powers. You get 2^(3 + 4) = 2^7

Let's see if that works.

2^3 = 8

2^4 = 16

8 * 16 = 128

Now what is 2^7?

2^7 = 128 just as it should

Now returning to your question

3^7.869 = answer B You leave the base alone (7) and add the powers. The 8 is 8/10

The 6 is 6/100

The 9 is 9 / 1000 Just add the fractions and keep the 7 and the 3.

Answer:93/2 or 46.5 mph

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

Answer:

Paired t test

H0 : μd = 0

H1 : μd > 0

Critical value = 3.499

Test statistic = 2.230

Reject H0 if test statistic > Critical value

Kindly check explanation.

Step-by-step explanation:

Given the data :

110 90 120 98 100 100 90 110

124 100 102 120 110 110 123 120

The hypothesis :

H0 : μd = 0

H1 : μd > 0

Tcritical value, df = n - 1 = 8 - 1 = 7

Tcritical(0.01, 7) = 3.499

The difference, d = (-14,-10,18,-22,-10,-10,-33,-10)

The test statistic :

Xdbar / Sd/√n

The mean difference, Xdbar = Σx / n = - 11.375

The standard deviation of difference, Sd = 14.431

The test statistic :

-11.375 / (14.431/√8) ;

-11.375 / 5.102

= 2.230

Decison :

Reject H0 if test statistic > Critical value

Since ; 2.230 <3.499 ;

We fail to reject the null

Answer:

Babies learn to crawl between age of 6 to 10 months.

Step-by-step explanation:

It may take longer for babies to crawl in winter season since the climate restricts the babies movement due to extra clothes. The babies who are born in summer will learn crawling earlier than those who are born in winter season.

Answer:

Option c.

Step-by-step explanation:

If we have a vector of N components (or variables), and we have K linear independent restrictions for these N components (such that K < N, we can't have more restrictions than components.)

The dimension of the vector will be given by N - K.

Here we know that we have a vector of 5 components, that can be written as:

[tex]v = \left[\begin{array}{ccc}v_1\\v_2\\v_3\\v_4\\v_5\end{array}\right][/tex]

And we have two restrictions, so we can expect that the dimension of the vector is:

5 - 2 = 3

But let's see it, the restrictions are:

"the first row is equal to the second row"

Then we can rewrite our vector as:

[tex]v = \left[\begin{array}{ccc}v_1\\v_1\\v_3\\v_4\\v_5\end{array}\right][/tex]

Notice that now we have only 4 variables, v₁, v₃, v₄, and v₅

We also know that the sum of the rows is equal to zero, thus:

v₁ + v₂ + v₃ + v₄ + v₅ = 0

we know that v₂ = v₁, so we can replace that to get:

2*v₁ + v₃ + v₄ + v₅ = 0

Now we can isolate one of the variables, to write it in term of the others, for example, let's isolate v₅:

v₅ = -2*v₁ - v₃ - v₄

Now if we replace that in our vector, we have:

[tex]v = \left[\begin{array}{ccc}v_1\\v_1\\v_3\\v_4\\-2*v_1 - v_3 - v_4\end{array}\right][/tex]

Notice that our vector depends on only 3 variables,  v₁, v₃, and v₄, so we can define our vector in a 3-dimensional space.

Then the correct option is c, the dimension of the vector space is 3.

9514 1404 393

Answer:

  A

Step-by-step explanation:

The parallelogram has rotational symmetry of degree 2. It looks the same after rotation by 180°.

_____

Additional comment

When a figure only looks like itself after a full rotation of 360°, it is said to have rotational symmetry of degree 1. All of the figures here will return to their original appearance after one 360° rotation. So, we assume the intent of the question is to identify figures with a rotational symmetry of degree greater than 1.

Answer:

D. Height

General Formulas and Concepts:

Geometry

Area of a Circle: A = πr²

Step-by-step explanation:

In order to find the area of a circle, we must follow the formula. Out of all the options given, height is not incorporated into the formula.

It wouldn't make sense to use height anyways since it would be 3-dimenional and we're talking 2-dimensional.

∴ our answer is D.

Answer:

y=105

Step-by-step explanation:

82+75+x=180

157+x=180

x=23

82+23=y

105=y

Answer:

n = 8√2

Step-by-step explanation:

From the question given above, the following data were obtained:

Angle θ = 60°

Opposite = 4√6

Hypothenus = n =?

The value of n can be obtained by using the sine ratio as illustrated below:

Sine θ = Opposite / Hypothenus

Sine 60 = 4√6 / n

√3/2 = 4√6 / n

Cross multiply

n × √3 = 2 × 4√6

n × √3 = 8√6

Divide both side by √3

n = 8√6 / √3

Rationalise

n = 8√6 / √3 × (√3/√3)

n = 8√(6×3) / 3

n = 8√18 / 3

Recall

√18 = √(9×2) = √9 × √2 = 3√2

Thus,

n = 8√18 / 3

n = 8 × 3√2 / 3

n = 8√2

Answer:

[tex]\frac{da}{dt}=-95.2m/s^2[/tex]

Step-by-step explanation:

From the question we are told that:

Slant height [tex]h=13ft[/tex]

Velocity [tex]v=\frac{dx}{dt}=8[/tex]

Distance [tex]d=12ft[/tex]

Generally the equation for area is mathematically given by

[tex]A=0.5*x*sqrt(169 - x^2)[/tex]

Differentiating

[tex]\frac{da}{dx}=\frac{169-2 x^2}{(2 sqrt(169-x^2))}[/tex]

Multiplying through by dx/dt

[tex]\frac{da}{dx}*\frac{dx}{dt}=\frac{169-2 x^2}{(2 \sqrt{169-x^2})}*\frac{dx}{dt}[/tex]

[tex]\frac{da}{dt}=\frac{169-2x^2}{(2 \sqrt{169-x^2})}*\frac{dx}{dt}[/tex]

[tex]\frac{da}{dt}=\frac{169-(2*12^{2})}{2*\sqrt{(169-12^{2})}}*8[/tex]

[tex]\frac{da}{dt}=-95.2m/s^2[/tex]

Answer:  [tex]P = \frac{25}{E^2}-Q\\\\[/tex]

Work Shown:

[tex]E = 5\left(\sqrt{\frac{1}{P+Q}}\right)\\\\5\left(\sqrt{\frac{1}{P+Q}}\right) = E\\\\\sqrt{\frac{1}{P+Q}} = \frac{E}{5}\\\\\frac{1}{P+Q} = \left(\frac{E}{5}\right)^2\\\\\frac{1}{P+Q} = \frac{E^2}{25}\\\\P+Q = \frac{25}{E^2}\\\\P = \frac{25}{E^2}-Q\\\\[/tex]

Answer:

12

Step-by-step explanation:

If f(x) = 5 - x

Then f(-7) = 5 - (-7)

f(-7) = 5 + 7

f(-7) = 12

Answer:

x = 14

JHK =  21

Step-by-step explanation:

The angles are vertical angles and vertical angles are equal

3x-21 = x+7

Subtract x from each side

3x-x -21 = x+7-x

2x-21 = 7

Add 21 to each side

2x-21+21 = 7+21

2x = 28

Divide by 2

2x/2 =28/2

x = 14

JHK = 3x-21 = 3(14) -21 = 42-21 = 21

Answer:

Because ∠GHI and ∠JHK are vertical angles, they're congruent. Therefore, set their angle measures equal to each other & solve for x.

[tex]x+7=3x-21\\x-3x=-7-21\\-2x=-28\\x=\frac{-28}{-2} =14\°[/tex]

Substitute in the value of x to find ∠JHK:

[tex]3x-21=3(14)-21=42-21=21\°[/tex]