Frankie is practicing for a 5?kilometer race. His normal time is 31 minutes 24 seconds. Yesterday it took him only 29 minutes 47 seconds. How much faster was Frankie yesterday than his normal time?

Answer:

The surface area is [tex]SA=384\ mm^{2}[/tex]

Step-by-step explanation:

we know that

The surface area of the cube is equal to

[tex]SA=6s^{2}[/tex]

we have

[tex]s=8\ mm[/tex]

substitute

[tex]SA=6(8)^{2}[/tex]

[tex]SA=384\ mm^{2}[/tex]

Answer:

There are no solutions to the system because the equations represent parallel lines

Step-by-step explanation:

If you get a solution 0 =12

This is never true, so that means there are no solutions.

The lines are parallel.

If you get 2=2, you will have infinite solutions because they are the same line

Answer:

  Q

Step-by-step explanation:

Each line from a vertex to the midpoint of the opposite side is called a median. The point where the medians intersect, point Q, is the centroid.

The centroid of ΔABC is point Q.

Answer:

Q

Step-by-step explanation:

We are given that L,M and N are midpoints of sides AC,AB and BC of a triangle.

We have to find the centroid of triangle ABC.

Centroid of triangle : It is defined as the intersection point of medians of triangle.

Medians of triangle ABC are BL,CN and  AM.

Medians BL, CN and AM are intersect at point Q.

Therefore, centroid of triangle ABC is Q by definition of centroid of triangle.

Answer:Q

Answer:

  A.  4.20% compounded quarterly

Step-by-step explanation:

The effective annual multiplier on an account with annual interest rate r compounded n times per year is ...

  (1 +r/n)^n

When doing multiple evaluations of the same expression, it is convenient to let a spreadsheet or calculator do them from a list of inputs. In the attached, we round the result to 4 decimal places to make comparison easier.

The highest effective rate is 4.2% compounded 4 times per year.

____

Example calculation

  (1 +0.042/4)^4 = 1.0105^4 = 1.0426661426550625 ≈ 1.0427

Answer:

A) Account 1: Interest is compounded quarterly at an annual rate of 4.20%

Answer: 24%

Step-by-step explanation:

2610+8120 = The undergraduates and graduates combined.

That is 10730. You are figuring out the probability the student is a graduate when those two graduates are combined, because that is all the data given. So you would do 2610/10730 in your calculator, resulting in 24.324324324%. As it says rounded to the nearest percent in parentheses, it has to round to the whole number, 24%, and .3 rounds down.

Answer:

im going to say c is the answer to this question

Answer: C

Step-by-step explanation:

Answer:

Easy its D

Step-by-step explanation:

remember he does not want to pass 2,000

1,400 - 400 = 1,000

1,000 + 1,200 = 2,200

Answer:

No; 1,200 will cause him to exceed 2,000.

Step-by-step explanation:

Given that Brett wants to stay within his daily calorie limit of 2,000 calories, and he has already consumed 1,400 calories and burned 400 calories at the gym, the maximum additional calories he can consume without exceeding his limit is:

2,000 (daily limit) - 1,400 (already consumed) - 400 (burned at the gym) = 1,000 calories

So, Brett can consume a maximum of 1000 more calories to stay within his daily limit of 2,000 calories. Therefore, 1,200 calories is not a viable solution because it exceeds his limit by 200 calories.

The correct answer is:

No; 1,200 will cause him to exceed 2,000 calories.

Hope this helps :))

Answer:

The answer should be. ( 7,2 )

Answer: second option.

Step-by-step explanation:

Given the transformation [tex]T:(x,y)[/tex]→[tex](x+3,y+1)[/tex]

You must substitute the x-coordinate of the point B [tex]x=4[/tex]) and the y-coordinate of the point B [tex]y=1[/tex]) into [tex](x+3,y+1)[/tex] to find the x-coordinate and the y-coordinate of the image of the point B.

Therefore, the image of B(4,1) is the following:

[tex](x+3,y+1)=(4+3,1+1)=(7,2)[/tex]

You can observe that this matches with the second option.

Answer:

The answer is A.) u < 200

next one is B.) u > 200

The alternative hypothesis in your testing would be: u < 20; u > 200.

An alternative hypothesis can be defined as a statement in statistical inference which is used in contradictory form against what is stated in the null hypothesis.

Alternative hypothesis is the alternative t a null hypothesis in hypothesis testing.

Therefore, the alternative hypothesis in your testing would be: u < 20; u > 200.

Learn more about alternative hypothesis on:

https://brainly.com/question/25263462

Answer:

bsqaure +csqaure =bsqaure

Step-by-step explanation:

Answer:

( - [tex]\frac{1}{3}[/tex], [tex]\frac{3}{4}[/tex] )

Step-by-step explanation:

Given the 2 equations

9x + 8y = 3 → (1)

6x - 12y = - 11 → (2)

To eliminate the y- term multiply (1) by 1.5

13.5x + 12y = 4.5 → (3)

Add (2) and (3) term by term

(6x + 13.5x) + (- 12y + 12y) = (- 11 + 4.5)

19.5x = - 6.5 ( divide both sides by 19.5 )

x = [tex]\frac{-6.5}{19.5}[/tex] = - [tex]\frac{1}{3}[/tex]

Substitute this value into either of the 2 equations and solve for y

Using (1), then

- 3 + 8y = 3 ( add 3 to both sides )

8y = 6 ( divide both sides by 8 )

y = [tex]\frac{6}{8}[/tex] = [tex]\frac{3}{4}[/tex]

Solution is (- [tex]\frac{1}{3}[/tex], [tex]\frac{3}{4}[/tex] )

ANSWER

461.7 yd²

EXPLANATION

The shaded region represents a sector.

The area of the sector is a fraction of the area of the whole circle.

Area of sector

[tex] = \frac{angle \: \: of \:sector }{360 \degree} \times \pi {r}^{2} [/tex]

We substitute the angle of the sector and the radius of the circle to obtain:

[tex] = \frac{167 \degree}{360 \degree} \times \pi \times {17.8}^{2} [/tex]

[tex] = 461.7 {yd}^{2} [/tex]

Therefore the area of the shaded region to the nearest tenth is 461.7 square yards.

Answer:

Area of shaded sector = 461.5 yd²

Step-by-step explanation:

Points to remember

Area of circle = πr²

Where 'r' is the radius of circle

To find the area of given circle

Here r = 17.8 yd

Area = πr²

 = 3.14 * 17.8²

 = 3.14 * 316.84

 = 994.8776 yd²

To find the area of shaded region

Central angle of sector = 167°

Area of sector = (167/360) * area of circle

 =  (167/360) *994.8776

 = 461.52 ≈ 461.5 yd²

Answer:

2x+5=3x-3

Step-by-step explanation:

The larger number is represented by X=5, and that number plus x would be 2x+5. The sum of those is 3 less than 3 times x, which is shown by 3x-3. So, 2x+5=3x-3

Answer:

The numbers are 8 and 13. Hopefully that can help with the equation.

Step-by-step explanation:

Answer:

the minimum value is 1/2x^2+4x+15/2 (write down the work below)

Step-by-step explanation:

f(x)=1/2*(x+3)*(x+5)=0

multiply the parenthesis by  1/2

(1/2x+3/2)*(x+5)

multiply the parenthesis

1/2x^2+5/2x+3/2x+15/2

calculate the equation

1/2x^2+4x+15/2 is you're answer  

Answer:

√129

Step-by-step explanation:

The distance formula between two points is:

d² = (x₂ − x₁)² + (y₂ − y₁)² + (z₂ − z₁)²

Plugging in:

d² = (4 − (-4))² + (-1 − 7)² + (-2 − (-3))²

d² = 8² + 8² + 1²

d² = 129

d = √129

A - the sum of the numbers is 5

[tex]A=\{(1,4),(4,1),(2,3),(3,2)\}\\|A|=4\Rightarrow \text{C}[/tex]

Answer:

mirena started at sea level, dove down 15 feet then rose up 6 feet

Step-by-step explanation:

she starts at zero the goes up -15 feef and then up 6 feet

Answer:

Morena started at sea level, dove down 15 feet, then rose up 6 feet.

Step-by-step explanation:

The expression is composed by three values. The first value indicates the starting point; which is 0, meaning sea level. The second component is -15, this indicates that Morena dove 15 feet below sea level, so she dove down. The third component is 6, this indicate that she drove up 6 feet, so she rose up. The position of Morena should be at 9 feet below sea level. The equation should be:

X = 0 + (-15) + 6

X = 0 - 15 + 6

X = -15 + 6

X = -9 down sea level

X means the Morena's postion

Answer:

The formula for circumference: 2rpi

PB = r = 29m

The circumference of circle P is:

2(29)pi

=58pi

Answer:

The circumference of circle  =58π m

Step-by-step explanation:

Points to remember

Circumference of circle = 2πr

Where r is the radius of the circle

From the figure we can see a circle with radius PB = 29 m

To find the circumference of circle

Here r = 29 m

Circumference = 2πr

 = 2 * π * 29

 = 58π m

Therefore the  circumference of circle  =58π m

Answer:

Is the graph shown the initial triangle, or the translated one?

Step-by-step explanation:

If x varies directly with y, then :

●  Increase in x results in increase of y

●  Decrease in x results in decrease of y

●  It is represented by : x ∝ y

[tex]\mathsf{\bigstar\;\;If\;x\;varies\;directly\;with\;y\;then : \large\boxed{\mathsf{\dfrac{x_1}{x_2} = \dfrac{y_1}{y_2}}}}[/tex]

Here : x₁ = 6 and y₁ = 15 and x₂ = x₂ and y₂ = 20

Substituting the values we get :

[tex]\mathsf{\implies \dfrac{6}{x_2} = \dfrac{15}{20}}[/tex]

[tex]\mathsf{\implies x_2 = \dfrac{20 \times 6}{15}}[/tex]

[tex]\mathsf{\implies x_2 = 8}[/tex]

Answer : x = 8 when y = 20

Answer:

x = 8

Step-by-step explanation:

Given that x varies directly as y then the equation relating them is

x = ky ← k is the constant of variation

To find k use the condition x = 6 when y = 15

k = [tex]\frac{x}{y}[/tex] = [tex]\frac{6}{15}[/tex] = 0.4

x = 0.4y ← equation of variation

When y = 20, then

x = 0.4 × 20 = 8

Answer:

  A.  4

Step-by-step explanation:

Pick two terms with consecutive x-values and find their ratio. That is the common ratio.

 for x = 2 and x = 1,

 r = 32/8 = 4

The common ratio is 4.

_____

You can check other pairs of terms if you want to confirm.

  r = 2048/512 = 4 . . . . for x=5 and 4.

Answer:

Hi!

The correct answer is A. 4.

Step-by-step explanation:

To find the common ratio of an geometric sequence of set A = {a₁, a₂, a₃, ..., aₙ} you can use the formula:

[tex]r=\frac{a_{i+1}}{a_i}[/tex]

If you pick x = 4 to find the ratio, you have to replace in the formula:

[tex]r=\frac{a_{4+1}}{a_4} =\frac{a_{5}}{a_4}[/tex] // replace the values

[tex]r= \frac{2048}{512} = 4[/tex]

The common ratio of this geometric sequence is 4.

Answer:

56

Step-by-step explanation:

Assumption: You don't watch the same movie twice

I will explain in 2 ways

METHOD 1: Multiplication Rule

On Saturday, you have 8 choices. On Sunday, you have 7 choices because u have already watched 1 movie on Saturday

8×7 = 56

METHOD 2: Permutation

Since 'order' is important, i.e. watching movie A on Saturday & B on Sunday is different from watching B on Saturday & A on Sunday, so it's

8P2 = 56

Using the permutation formula, it is found that you can choose a movie to see this Saturday and one to see this Sunday in 56 ways.

The order in which the movies are chosen is important, as they are respective to different days, hence the permutation formula is used to solve this question.

The number of possible permutations of x elements from a set of n elements is given by:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

In this problem, 2 movies will be chosen from a set of 8, hence:

[tex]P_{(8,2)} = \frac{8!}{6!} = 8 \times 7 = 56[/tex]

Hence, you can choose a movie to see this Saturday and one to see this Sunday in 56 ways.

More can be learned about the permutation formula at https://brainly.com/question/25925367

Answer with Step-by-step explanation:

Tara can spend at most $700

Restaurant charges $450 for the first 25 people and  $15 for each additional guest

Let x be the number of additional guest

⇒ 450+15x<700

⇒ 15x<250

⇒ x<250/15

⇒ x<16.67

Hence, Maximum additional guest can be 16

25+16=41

Hence,  the greatest number of people who can attend the shower is:

41

Answer:

Explanation:

When 4 people are chosen at random, the probability that exactly 3 of them favor the new building project may be thought as four cases:

- the first one is against and the other three are in favor

- the second one is against and the other three are in favor

- the third one is against and the other three are in favor

- the fourth one is against and the other three are in favor.

Each one of those probabilities are equal to:

          ↑                          ↑

      one against          three in favor

Since, there are four equal results: 4 × 0.09611875 = 0.384475

Rounded to 2 significant digits that is 0.38.

The probability that exactly 3 out of 4 people randomly selected from a poll, where 65% of people are in favor of a certain building project, are also in favor of it is approximately 0.3835 or 38.35%.

This question is about the calculation of probability related to a poll result. To calculate the probability that exactly 3 of 4 randomly chosen people favor the new building project, we should consider this as a binomial probability problem, because each person either supports the project or not, and each person is independent of the others. Accordingly, the probability that exactly 3 out of 4 people are in favor is given by the formula:

P(X=3)=C(4,3)*(0.65)^3*(1-0.65)^(4-3)=4*(0.65)^3*(0.35)=(4*0.2746*0.35)=0.3835

So, the probability that exactly 3 of them favor the new building project is approximately 0.3835 or 38.35%.

https://brainly.com/question/34083389

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Answer: The first box is circle and second box is rectangle.

Step-by-step explanation:

If you are asking about the shape of the cross section for a right circular cylinder, that is the case. A parabola or triangle can't be sliced so the cross section is parallel or perpendicular to the base.

If the cross section is parallel to the base, it is a circle.

If the cross section is perpendicular to the base, it is a rectangle.

Given that the raffle prize is to be divided equally, the amount of money each person will receive will be equal to the total raffle prize (14x^(2)/15) divided by the number of people (7x). Thus, we get:

(14x^(2)/15) / 7x

= (14x^(2)/15) * (1/7x)

= 14x^(2)/15*7x

= 14x^(2)/105x

= 2x/15 (Divide both the numerator and denominator by 7x)

Therefor, each person would receive 2x/15 dollars.

If you know how to cancel when dealing with fractions, you can get to this step much easier, however this way also works. The idea with cancelling would be that when you had (14x^(2)/15) / 7x, you would recognise that 14x^2 may be divided by 7x straight away to get 2x. Then you would have 2x/15 as your answer.

Answer:

  1

Step-by-step explanation:

The constant term in a perfect square trinomial with leading coefficient 1 is the square of half the coefficient of the linear term.

  (2/2)² = 1

The missing constant term is 1.

Answer:  The correct answer is:  " 1 " .

_____________________________________________________

                               →   "  x²  +  2x  +    1     =   (x + 1)²  " .

_____________________________________________________

_____________________________________________________

Step-by-step explanation:

_____________________________________________________

Let us assume that the question asks us to solve for the "missing constant term in the following equation:  

      →   " x² + 2x + b = 0 " ;  

      →  in which:  " b " is the "missing constant term" for which we shall solve.

_____________________________________________________

The form of an equation in the perfect square would be:

                →  (x + b) ² =  x² + 2bx + b²  ;

                →  In our case, "b" ; refer to the "missing constant term" for which we shall solve.

_____________________________________________________

      →   " x² + 2x + b = 0 " ;  

       Note that the term in the equation with the highest degree (highest exponent) is:  

            →  " x² " ;  with an "implied coefficient" of: " 1 " (one) ;

      →   {since "any value" , multiplied by " 1 " , results in that same initial value.}.

      →   Since the term with the highest degree has a "co-efficient" of " 1 " ;

  we can solve the problem;   i.e. "Solve for "b" ;  accordingly:

_____________________________________________________

      →   " x² + 2x + b = 0 " ;

Subtract "b" from each side of the equation:

      →   " x² + 2x + b - b = 0 - b " ;

      →  to get:

      →   x² + 2x  =  - b

Now we want to complete x² + 2x into a perfect square.

To do so, we take the:  "2" (from the:  "+2x" );  

     →  and we divide that value {in our case, "2"};  by "2" ;

to get:  "[2/2]" ;  and then we "square" that value;

     →  to get:  " [2/2]² " .

_____________________________________________________

Now, we add this "squared value" to:  " x² + 2x " ;  as follows:

     →  " x² + 2x + [2/2]² " ;  and simply:  " [2/2]² = [1]² = 1 ."

_____________________________________________________

     x² + 2x + (2/2)² = x² + 2x + 1 ;

                              =  (x + 1)² ;

_____________________________________________________

Now:  " x² + 2x = - b " ;

 We add "(2/2)² " ;  to each side of the equation;

 →  In our case,  " [2/2]² = [1]² = 1 " ;

 →  As such, we add:  " 1 " ;  to each side of the equation:

              →   x² + 2x + (2/2)² =  - b + (2/2)² ;

              →  Rewrite;  substituting " 1 " [for:  " (2/2)² "] :

              →   x² + 2x + 1  =  1 - b ;                                          

              →   x² + 2x + 1   = 1 - b ;

_____________________________________________________

And assume "b" would equal "1" ;

 since assuming the question refers to the equation:

     "x²  +  2x  ±   b = 0 " ;  solve for "b" ;  

And:   "b = 1 " ;

Then:  " x² + 2x + 1 = ?  1 - b  ??

       →  then:   " 1 - b = 0 "  ;  Solve for "b" ;

       →  Add "b" to each side of the equation:

                      " 1 - b + b = 0 + b " ;

       →  to get:  " 1 = b "  ;   ↔ " b =  1 "  ;  Yes!

___________________________________________________

Also, to check our work:

_____________________________________________________

Remember, from above:

_____________________________________________________  

" The form of an equation in the perfect square would be:

                →  (x + b)²  =  x²  +  2bx + b² " ;  _____________________________________________________

   →  Let us substitute "1" for all values of "b" :

                  →   "  (x + 1) ²  =   x² + 2*(b)*(1)  +   1²  "  ;

                  →   "  (x + 1)²   =   x²  +  (2*1*1)   +  (1*1) "  ;

                  →   "  (x + 1)²   = ?  x²  +  2  +  1 "  ?? ;  Yes!

                  →  However, let us check for sure!

 _____________________________________________________

→   Expand:  " (x + 1)²  " ;  

→  " (x + 1)² = (x + 1)(x + 1) " ;

_____________________________________________________

   →  " (x + 1)(x + 1) " ;  

_____________________________________________________

Note the following property of multiplication:

_____________________________________________________

 →   " (a + b)(c + d)  =  ac  +  ad  +  bc  +  bd " ;

_____________________________________________________

As such:

_____________________________________________________

         →  " (x + 1)(x + 1) " ;

              =  (x*x) + (1x) + (1x) + (1*1) ;

              =  x²  +  1x + 1x + 1 ;

        →  Combine the "like terms" :

              + 1x + 1x = + 2x ;  

And rewrite:

              =   x²  +  2x + 1 .

_____________________________________________________

"  (x + 1)²   = ?  x²  +  2  +  1 "  ?? ;  Yes!

_____________________________________________________

    →   So:  The answer is:  " 1 " .

_____________________________________________________

   →  " x² + 2x +  1    =  (x + 1)²  " .

_____________________________________________________

Hope this answer helped!

    Best wishes to you in your academic endeavors

            — and within the "Brainly" community!

_____________________________________________________

William Jones

The number pi (π) is a platonic concept and has been used for 4000 years. The number pi can be approached but never reached. In general, this number means the constant ratio of the circumference to the diameter of any circle. Ancient Babylonians, Egyptians, and even Archimedes, one of the greatest mathematicians of the ancient world tried to approximate the value of pi, but in the 1700s, mathematicians began using the Greek letter π that was introduced by William Jones, in his second book Synopsis Palmariorum Matheseos or A New Introduction to the Mathematics base. Then, this symbol was popularized and adopted in 1737 by the greatest mathematician Leonhard Euler.

Answer:

  2 raisins

Step-by-step explanation:

The mean is calculated in the usual way: the sum divided by the number of numbers.

  mean = (5 +9 +5 +5 +7 +11)/6 = 7

The deviations are the differences from the mean:

  deviation = {5, 9, 5, 5, 7, 11} -7 = {-2, 2, -2, -2, 0, 4}

and the absolute deviation is the absolute value of these numbers:

  absolute deviation = {2, 2, 2, 2, 0, 4}

The mean absolute deviation (MAD) is the average of these values:

  (2 +2 +2 +2 +0 +4)/6 = 2

The mean absolute deviation is 2.

_____

It is generally convenient to let technology do the computation. A spreadsheet or graphing calculator can do this easily.

[tex]A=\{1,3,5,\ldots,99\}\\B=\{50,55,\ldots,150\}\\\\A\cap B=\{55,65,75,85,95\}[/tex]

Answer:

[tex]A\bigcap B=\left \{ 55,65,75,85,95 \right \}[/tex]

Step-by-step explanation:

Set A contains odd numbers between 0 and 100.

So, the elements in set A are as, Set A[tex]=\left \{ 1,3,5,7,9,11,13,15,...99 \right \}[/tex]

Set B contains the numbers between 50 and 150, that are evenly divisible by 5.

So, the elements in set B are are as, Set B

[tex]=\left \{ 55,60,65,70,75,80,85,90,... 145\right \}[/tex]

Now, we need to find [tex]A\bigcap B[/tex]

To find  [tex]A\bigcap B[/tex] , we need to find the common elements in Set A and Set B.

The common elements in Set A and Set B is [tex]\left \{  55,65,75,85,95 \right \}[/tex]

So, [tex]A\bigcap B=\left \{ 55,65,75,85,95 \right \}[/tex]