Mike and Sam Tun laps. Mike runs a lap in 5 minutes and Sam runs a lap in 6 minutes. If Mike and Sam begin running at the same time, after how many minutes will they cross the starting line at the same time?

Answer:

y = 2x^2 + 16x + 11

Step-by-step explanation:

2(x + 4)^2 - 21

2(x + 4)(x + 4) - 21

2(x^2 + 8x + 16) - 21

2x^2 + 16x + 32 - 21

2x^2 + 16x + 11

Answer:

y = 2x^2 + 16x + 11

the other answer explains it much better

Answer:

19 units.

Step-by-step explanation:

Consider the below figure attached with this question.

From the below figure it is given that MN=PQ.

It is given that MP = 6x – 5, QR = 3x + 1, and RN = 6.

Since non parallel sides are equal, therefore it is an isosceles trapezoid.

The diagonals of an isosceles trapezoid are equal.

[tex]MP=QN[/tex]

[tex]MP=QR+RN[/tex]

Substitute the given values.

[tex]6x-5=3x+1+6[/tex]

[tex]6x-5=3x+7[/tex]

[tex]6x-3x=5+7[/tex]

[tex]3x=12[/tex]

[tex]x=4[/tex]

The value of x is 4.

[tex]QN=MP=6x-5=6(4)-5=24-5=19[/tex]

Hence, the measure of QN is 19 units.

To find QN,  RN from the value of QR which is 3x - 5

The value can be found using Algebraic expressions.

To find QN, we need to find the value of QR and subtract RN from it.

Given that QR = 3x + 1 and RN = 6, we can substitute these values into the equation.

So, QN = (3x + 1) - 6.

Simplifying further, QN

= 3x + 1 - 6

= 3x - 5.

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Answer:

D.1/64

B.1 in 12

A.64%

Step-by-step explanation:

Each dial has 4 letters and only one of them is correct; the probability to choose the correct one is then 1/4. Selecting a letter in each dial is independent, then the probability of guessing the right combination in one try is 1/4 * 1/4 * 1/4 = 1/64

8% means a probability of 8/100 or an odds of 8 in 100. Dividing each term by 8 we get 8/8 = 1 in 100/8 = 12.5, which can be rounded to 1 in 12

80% means a probability of 80/100 = 0.8. Given that the 2 free-throws are independent, the probability that he makes both is 0.8*0.8 = 0.64 or 64%

9514 1404 393

Answer:

  5.3 m

Step-by-step explanation:

The angle opposite the given side is ...

  180° -105° -40° = 35°

Then the law of sines tells us the unknown distance (d) is ...

  d/sin(40°) = 4.7 m/sin(35°)

  d = (4.7 m)sin(40°)/sin(35°) ≈ 5.267 m

Denis will need to jump about 5.3 m to reach the neighboring roof.

_____

Additional comment

Denis will need a running start. The world record for a standing broad jump is less than 4 m.

Answer:

65 miles every 1 hour

Step-by-step explanation:

Unit rate is found once one of the units is 1. In this case we need to reduce the ratio so that it is 1 hour and we get a unit rate. We can do this by dividing both sided by 2 so that the hours are reduced to 1.

130=2

130/2=65                2/2=1

65=1

65 miles every hour

The unit rate of 130 miles per 2 hours is 65 miles per hour. This is calculated by dividing the number of miles (130) by the number of hours (2).

In Mathematics, the term unit rate refers to the ratio of two measurements, in which the denominator is 1. In this situation, you are given the rate of 130 miles per 2 hours and need to reduce it to a unit rate. To do this, you divide the number of miles (130) by the number of hours (2).

The calculation would be 130 miles ÷ 2 hours = 65 miles per hour. Hence, the unit rate of 130 miles per 2 hours is 65 miles per hour. This means that if you travel at this rate, you would cover 65 miles in one hour.

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Final answer:

An equivalent expression to 56m+21n is found by factoring out the greatest common divisor, which is 7, resulting in the simplified expression 7(8m + 3n).

Explanation:

The question asks for an equivalent expression to 56m+21n. To find an equivalent expression, we look for common factors that both terms in the expression have. In this case, both 56 and 21 are divisible by 7. Therefore, we can factor out 7 from both terms to simplify the expression.

The factored form of the expression is:

7(8m + 3n)

This shows that 7(8m + 3n) is an equivalent expression to 56m+21n, simplifying the original expression by finding common factors.

Answer: Y= 6/7 or Y=0.86

Step-by-step explanation:

-3=7(y-9/7)

-3=7y-9

+9     +9

6=7y

divide both sides to get y by it self

6/7=y

Answer:

Y=6/7

Step-by-step explanation:

You have to isolate the variable by doing the opposite of PEMDAS to both sides of the equation.

Answer:

34 in 40

Step-by-step explanation:

6 in 40 is the probability of winning, so

34 in 40 is the probability of not winning.

simply do 40 - 6.

This answer can also be written as

[tex] \frac{34}{40} [/tex]

or 85%

The probability of not winning a bottle cap is 34/40.

Probability is a field in mathematics that deals with the possibility of how an event is likely to occur or true.

The probability of not winning = 34/40

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Answer:

A/15=5

so multiply 15*5

you would get 75

therefore a=75

Step-by-step explanation:

Step-by-step explanation:

a/15=5

rearrange to find a

a=15*5

so 15*5 is 75

a=75

Answer:

The best is  f(x) = (x + 3)(x − 3)(x + 1).

Step-by-step explanation:

The coefficient of x^3 will be positive because of where the graph rises and falls.

As one of the x intercepts is negative  3 one of the factors will be (x + 3).

By the same reasoning the other 2 factors will be (x - 3) and (x + 1).

Answer:

D is correct!

Step-by-step explanation:

I am with the same program.

Answer:

a,c,e

Step-by-step explanation:

Correct me if I'm wrong!

Thank you

Tisa B Sora

The possible side lengths are:

3, 14, and √205

19, 180, and 181

Options A and C are the correct answer.

Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

We have,

In a right triangle:

The square of the hypotenuse is equal to the sum of the other two sides.

Now,

We can apply the Pythagorean theorem in each case:

1)

3, 14, and √205

Hypotenuse² = 3² + 14²

Hypotenuse² = 9 + 169

Hypotenuse² = 205

Hypotenuse = √205

True.

2)

6, 11, and √158  

Hypotenuse² = 6² + 11²

Hypotenuse² = 36 + 121

Hypotenuse² = 157

Hypotenuse = √157

Not possible

3)

19, 180, and 181

181² = 180² + 19²

181² - 180² = 19²

32761 - 32400 = 361

361 = 361

True.

4)

3, 19, and √380

Hypotenuse² = 3² + 19²

Hypotenuse² = 9 + 361

Hypotenuse² = 370

Hypotenuse = √370

Not possible

5)
2, 9, and 85

Hypotenuse² = 2² + 9²

Hypotenuse² = 4 + 81

Hypotenuse² = 85

Hypotenuse = √85

Not possible

Thus,

3, 14, and √205

19, 180, and 181 are possible side lengths.

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Answer:

15

Step-by-step explanation:

Mean value of the set = 4+10+14+18+22+22/6

= 15

By adding the mean value to a set, its mean wouldnt change. Therefore, 15 should be added to the set

Step-by-step explanation:

[tex]35\% \: of \: 40 \\ = \frac{35}{100} \times 40 \\ = 3.5 \times 4 \\ = 14[/tex]

Hence 14 students prefer American food.

Option B is the correct answer.

Answer:

(1) m > 0

(2) 2m + n= 26

Step-by-step explanation:

Answer:

its 0 trust me

Step-by-step explanation:

Answer:

146.67 dollars

Step-by-step explanation:

9.36*15.67

Answer:

$146.67

Step-by-step explanation:

$9.36 per hour

15.67 hours

Multiply

$146.67

Hope this helps :)

Answer:

Mrs. Rodriguez has 6 packages of pens Wednesday

Step-by-step explanation:

To prove that:

[tex]$\frac{1}{\sin ^{2}A}-\frac{1}{\tan ^{2}A}=1[/tex]

LHS = [tex]\frac{1}{\sin ^{2}A}-\frac{1}{\tan ^{2}A}[/tex]

Using basic trigonometric identity, [tex]\tan (x)=\frac{\sin (x)}{\cos (x)}[/tex]

       [tex]$=\frac{1}{\sin ^{2}A}-\frac{1}{\left(\frac{\sin A}{\cos A}\right)^{2}}[/tex]

      [tex]$=\frac{1}{\sin ^{2}A}-\frac{1}{\frac{\sin^2A}{\cos^2 A}}[/tex]

      [tex]$=\frac{1}{\sin ^{2}A}-\frac{\cos^2 A}{\sin^2A}[/tex]

      [tex]$=\frac{1-{\cos^2 A}}{\sin ^{2}A}[/tex]

Using trigonometric identity: [tex]1-\cos ^{2}(x)=\sin ^{2}(x)[/tex]

      [tex]$=\frac{\sin ^{2}A}{\sin ^{2}A}[/tex]

      = 1

      = RHS

LHS = RHS

[tex]$\frac{1}{\sin ^{2}A}-\frac{1}{\tan ^{2}A}=1[/tex]

Hence proved.

Answer:

12/13

Step-by-step explanation:

I hope this helps!

Answer:

  look for places where the derivative is zero or undefined

Step-by-step explanation:

Find the derivative. Critical points are where the derivative is zero, and where it is undefined.

__

A polynomial function may or may not have points where the derivative is zero. It will never have points where the derivative is undefined (tangent lines are vertical).

A rational function, or one involving fractional exponents may have critical points where the derivative is undefined.

__

For example, the function ...

  y = √(1 -x^2)

has the derivative ...

  y' = -x/√(1 -x^2)

This has a zero at x=0 (tangent is horizontal). It is undefined at x = ±1, where the denominator is zero (tangent is vertical). Those values of x tell you the critical points are (-1, 0), (0, 1), (1, 0).

Critical points in a mathematical function are found by deriving the function, setting the derivative equal to zero, and solving for x. The x-values obtained are the x-coordinates of the critical points. An example is provided for the function f(x) = x3 - 3x2.

To find the critical points in a function, you first need to identify the derivative of the function. Once you have obtained the derivative, you set it equal to zero and solve for x. The x-values you get are the x-coordinates of your critical points.

Let's illustrate with an example, using the function f(x) = x3 - 3x2.

First, let's find the derivative, f'(x) = 3x2 - 6x. Then set f'(x) = 0 and solve for x. This gives us x = 0 and x = 2. Therefore, (0, f(0)) and (2, f(2)) are the critical points of the function.

Please note, critical points are also the points where the derivative is undefined. However, in this case the derivative exists for all real numbers, so we do not have any such critical points here.

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Answer:

you would start off with putting 520 over 100 and then you would simplify it down and it becomes 26/5

Answer:

y= -2x + 4

Step-by-step explanation:

-2 - 4 = -6

3 - 0 = 3

-6 ÷ 3 = -2

-2x is the slope.

3 × -2 = -6

-2 - -6 = 4

4 is the y intercept

Answer:

[tex]a_n= - 1( - 2)^{n-1}[/tex]

Step-by-step explanation:

The given geometric sequence is :

-1,2,-4,8,...

The first term is

[tex]a_1=-1[/tex]

The common ratio is

[tex]r = \frac{2}{ - 1} = - 2[/tex]

The nth term is given by;

[tex]a_n=a_1(r^{n-1})[/tex]

We substitute the values of the first term and common ratio to get:

[tex]a_n= - 1( - 2)^{n-1}[/tex]

This is called the explicit formula.

Answer: X=20-0.75(10+2)

Please mark brainliest!

Step-by-step explanation:

It would be B x=20-0.75(10+2)

because 20 is the amount of the gift card and 0.75 is the percent you will be paying so you subtract the total of 10 and 2 and subtract from 20 and thats the amount you have left!

Answer:

b. x = 20 – 0.75(10 + 2)

Step-by-step explanation:

I just know

--

Brianna Edwards

e d g e n u i t y things

Thanks and remember to always vote brainliest

Answer:

The answer

x=3

y=4

Step-by-step explanation:

You use substitution to solve it:

x+1=-2x+10

3x+1=10

3x=9

x=3

y=4

plug in the solution to the equation to verify your answer.

Answer:

Vertex is (2,0)

Step-by-step explanation:

The vertex of a parabola is x=-b/2a

Since a=-2 and b=8, we have:

x=-8/2(-2)

x=-8/-4

x=2

So the vertex is (2,0)

Answer: 0.153 is the largest

Step-by-step explanation:

1/7=0.14, 1/12=0.08, and 15%= 0.150

Answer:

part A) see the explanation

part B) The population in 25 years since 1970 will be one million seven hundred thousand people (1,700,000)

Step-by-step explanation:

The correct equation is

[tex]P(t)=54t+350[/tex]

Part A) what are t values when it is 1985 and 1990.

we have

[tex]P(t)=54t+350[/tex]

This is the linear equation in slope intercept form

[tex]m=54\\b=350[/tex]

where

P(t) ----> is the population, in thousands

t ---->  the time, in  years, since 1970

Remember that

t = 0 for 1970

so

For the year 1985

[tex]t=1985-1970=15\ years[/tex]

For the year 1990

[tex]t=1990-1970=205\ years[/tex]

Part B) what is p(t), when t=25?

For t=25 years

substitute the value of t in the linear equation

[tex]P(t)=54(25)+350=1,700[/tex]

Remember that the population is in thousands

That means

The population in 25 years since 1970 will be one million seven hundred thousand people (1,700,000)

Answer:

  12√2 ≈ 16.97

Step-by-step explanation:

Points A and B are on grid lines. The difference B-A is (2, 2), so the distance formula will tell you the length of that segment is ...

  √(2²+2²) = 2√2

The regular hexagon has 6 sides all the same length. The perimeter is the sum of those lengths, so is ...

  6 × 2√2 = 12√2 ≈ 16.97 . . . . units

Answer:

197

Step-by-step explanation:

kk here we go

find the area of each side so:

5 x 5 = 25

5 x 5 = 25

9 x 5 = 45

6.4 x 5 = 32

trapezoid = 5 + 9 = 14

and then divide that 14 by 2 which is 7. multiply by height which is 5 again

that equals 35

double that bc there are 2 trapezoids = 70

add all together

197

there ya go:)

The word OF means to multiply in math.

So, 3/4 of m becomes (3/4)m, which means 3/4 TIMES m.

We can also write the expression

this way: (3m)/4.

They both mean the same thing.

The requried 3/4 of m is represented by the algebraic expression (3/4)m, and its value depends on the specific value assigned to m.

To express 3/4 of a quantity, m, as an algebraic expression, we can multiply 3/4 by m.

The algebraic expression for 3/4 of m is (3/4)m.

To evaluate this expression, we simply multiply 3/4 by the value of m.

For example, if m = 10, we substitute m = 10 into the expression to find (3/4)(10) = (3/4) * 10 = 30/4 = 7.5.

Therefore, 3/4 of m is represented by the algebraic expression (3/4)m, and its value depends on the specific value assigned to m.

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