what is the acceleration of a motorcycle moving on a straight path when the speed goes from 0 to 70 miles per hour in 5 seconds?

Answer:

m<A = 50°

Step-by-step explanation:

supplementary angles add up to 180°

m<B = 2x + 30

we don't know m<A, so we'll say the value of it is x

2x + 30 + x = 180°

3x + 30 = 180

3x = 150

x = 50

plug this value back in for x

m<B = 2(50) + 30 = 130

m<B = 130°

m<A = x = 50

m<A = 50°

to prove these are supplementary angles, 130 + 50 = 180

8 units is the radius of the circle with a circumference of 16π.

A circle is simply a closed 2-dimensional curved shape with no corners or edges.

The circumference of a circle is expressed mathematically as;

C = 2 × π × r

Where r is radius and π is constant pi ( π = 3.14 )

Given the data in the question;

To find the radius of the circle, plug the given value into the circumference formula and solve for r.

C = 2 × π × r

16π = 2π × r

r = 16π / 2π

r = 16/2

Radius r = 8

Therefore, the radius of the circle is 8.

Option B is the correct answer.

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a)

The perimeter is given by

b)

Then we simplify by summing similar terms we obtain that the expression of the perimeter is

The answers to both the subparts with the help of probability are:

So, Item A:

The expected value is the total of each result times the associated probability, so:

The $15 wager should have a value of -3.16 dollars.

Item B:

Therefore, the answers to both the subparts with the help of probability are:

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The complete question is given below:
When playing roulette at a​ casino, a gambler is trying to decide whether to bet ​$15 on the number 34 or to bet ​$15 that the outcome is any one of the five possibilities 00 comma 0 comma 1 comma 2 comma or 3. The gambler knows that the expected value of the ​$15 bet for a single number is negative 0.79 cents. For the ​$15 bet that the outcome is 00 comma 0 comma 1 comma 2 comma or 3​, there is a probability of StartFraction 5 Over 38 EndFraction of making a net profit of ​$75 and a StartFraction 33 Over 38 EndFraction probability of losing ​$15. a. Find the expected value for the ​$15 bet that the outcome is 00 comma 0 comma 1 comma 2 comma or 3. b. Which bet is​ better: a ​$15 bet on the number 34 or a ​$15 bet that the outcome is any one of the numbers 00 comma 0 comma 1 comma 2 comma or 3​? ​Why?

The value of three over five raised to the second power is nine over twenty-five.

From the question , we were given that three over five raised to the second power which can be interpreted as (3/5)^2 then we can find the square of the given value so that we can arise at the answer.

In this case ,  (3/5)^2 = 9/25 which implies that the value of the (3/5)^2 is been found and to calculate the value of (3/5)^2, we will need to find the square of 3 which is the numerator as well as the square of 5 which is the denominator.

Therefore, the third option is correct.

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The expression that models Tyrell's net proceeds algebraically is d-(1.03ns + 15)  .

In the question ,

it is given that ,

Tyrell bought n shares for s dollars

So the price Tyrell paid for shares = $ ns .

Tyrell also paid 3% commission ,

so the total cost price Tyrell paid for shares = price of share + commission

total cost price = ns + 3% of ns

= ns + 0.03ns        ....as 3% = 0.03

= 1.03ns         ...(i)

Tyrell sold the stocks for d dollars .

Tyrell also paid the flat fee of $15 .

So, the selling price for stocks = d-15 ......(ii)

The Tyrell's Net Proceeds can be calculated using the formula

Net Proceeds = Selling Price - Cost price

Substituting the values of selling price and cost price from (i) and (ii) ,

we get ,

Net Proceeds = (d-15)-(1.03ns)

= d-15-1.03ns

= d-(1.03ns + 15)

Therefore , the expression that models Tyrell's net proceeds algebraically is d-(1.03ns + 15)  .

The given question is incomplete , the complete question is

Tyrell bought n number of shares for s dollars and paid a 3% commission. He sold the stock for d dollars and paid a flat fee of $15. Write an expression to model Tyrell’s net proceeds algebraically.

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Given,

Sample mean = ±3 of true mean

Standard error = 1.8

Therefore,

Required probability of sample mean being within 3 units of the true mean is,

P ( sample mean - 3 < mean < sample mean + 3 )

= P [( sample mean - 3 ) - mean / 1.8 ] < mean - sample mean / 1.8 < [ ( sample mean + 3 ) - mean / 1.8 ]

= P ( - 1.67 < ∉ < 1.67)

= P (∉ < 1.67) - P( ∉ < 1.67)

= 0.952 - 0.047

= 0.905

Hence, the probability that the sample mean is within 3 units of the true mean if the standard error is 1.8 is 0.905.

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The differential equation for the amount of salt A(t) in the tank at the time (dA / dT) / (A / 100) = 0, A(0) = 30

It is Given that a large tank holds 400 gallons of water, in which 80 ponds of salt have been dissolved, given that pure water is pumped into the tank at a rate of 8 gallons/min. here we have to find the differential equation for the amount of salt in the tank at the time when the solution is well stirred. we have to multiply both 400 gallons of water and pumped water at the rate of 8 gallons/min.

dA / dT = Rin - Rout

Rin = 0

Rout = A(t) / 400 * 8

        = A / 50

So,

  dA / dt = Rin - Rout

dA / dt = 0 - A /50

After solving the differential equation we get

A(0) = 30

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In many cases, when we evaluate functions, we just have to replace x with a given value and simplify the expression.

[tex]g(x)=\dfrac{1}{4}x+1[/tex]

⇒ To solve for g(-16), plug in -16 as x:

[tex]g(x)=\dfrac{1}{4}(-16)+1\\\\g(x)=-4+1\\\\g(x)=-3[/tex]

g(-16) = -3

Answer:

- 21

Step-by-step explanation:

They lost 14 yards, then lost and additional 7 more. You would simply add and make it a negative number due to the key word " lost ".

The equation would look like this: -14 + ( -7 ).

Another way to solve this equation is to multiply. ( + ) x ( - ) = -.

Your equation will the look this this: -14 - 7.

Now you just solve.

Thus, your answer should be - 21.

Hopes the helps!

Have a great day.

Answer: -21

Step-by-step explanation:

.A football team will lose an additional 7 yards if they lost 14 on their first play.

. Since the first play resulted in a loss of 14 yards, the integers that reflect the overall change in yards for the two plays are negative.

.In the second play, we score 14 points but lose 7 yards, which is a loss of 7 points.

.Negative 14 + Negative 7 = Negative 21, which is the overall change in yards.

. Hence, the answer would be -21 yards.

. -21 would be the correct integer that will represent the the total change in yards for the two plays.

Answer:

Farooq gets £8.75

Step-by-step explanation:

Let's represent the amounts obtained by David, Eva and Farooq as D, E and F to make things simpler. Let M be the total amount of money shared

D = 2.50 and represents 1/6 of the total amount of money(M)

So

M/6 = 2.50

Multiply both sides by 6 => M = 2.50 x 6 = £15

Eva gets 1/4th of this so E = 15 x 1/4 = £3.75

David gets £2.50

Together they get £2.50 + £3.75 = £6.25

The balance goes to Farook so F = 15 - 6.25 = £8.75

Answer: top: x= -15     bottom: x= -37

Step-by-step explanation: First you need to get x by itself so for example on the top one you would do 8-8 to get x alone and then you would also do -7- 8 because whatever you do to one side you have to do to the other.

Hope this helped!!!

Answer:

Step-by-step explanation:

Answer:

yes!! finally a question i can solve:
so,

Step-by-step explanation:

Exact Form:

x = − 3/2

Decimal Form:

x = −1.5

Mixed Number Form:

x = -1  1/2

Answer: Neither They were the same shade of Grey.

Step-by-step explanation:

it’s the right answer trust me

Color would be the same for both statue and stone buildings.

Let's, consider paint black as = x

and paint white as = y

If both the paints are mixed then paint z which is grey is formed.

Represented as,

x(black) + y(white) = z(grey)

Whereas, for the stone building double the amount of black and white colors are being used,

2x + 2y = 2z, coating of grey color would be also double.

Canceling 2 from both sides,

x + y = z

x(black) + y(white) = z(grey)

Therefore color would be the same for both statue and stone buildings.

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If you change the 2H₂ to 3H₂ molecules and balance the equation the equation will produce three molecules of water.

The provided chemical equation is,

2H₂ + O₂ → 2H₂O.

Changing 2H₂ with 3H₂

The chemical equation becomes,

3H₂ + O₂ → 2H₂O.

By doing this, the equation has become completely imbalanced,

So first we will balance it,

3H₂ +3/2O₂ → 3H₂O

Now, there will be 3 molecules of water formed.

As we observe the reaction more closely, we can see that the number of atoms of all the elements are equal on both the sides of the reaction.

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Answer:

C

Step-by-step explanation:

Use the distributive property to solve.

(5a²+2a-7)(3a²-a+1)

=15a⁴-5a³+5a²+6a³-2a²+2a-21a²+7a-7

=15a⁴+a³-18a²+9a-7

Considering the product and the sum of the roots of the quadratic function, the numeric value of the expressions are given as follows:

1. [tex]\beta x^2 + \alpha x^2 - \alpha\beta = \frac{1}{4}(x^2 - 1)[/tex]

2. [tex]\frac{\alpha}{\beta} + \frac{\beta}{\alpha} = -\frac{7}{4}[/tex]

A quadratic function is defined according to the following rule:

y = ax² + bx + c.

In which a and b are the coefficients of the equation.

Supposing that the equation has roots [tex]\alpha[/tex] and [tex]\beta[/tex], the product and the sum of the roots of the quadratic function are given as follows:

In this problem, the equation is:

4x² - x + 1.

Hence the coefficients are:

a = 4, b = -1, c = 1.

Then the product and the sum of the roots of the quadratic function are given as follows:

Then the numeric values for the expressions can be found as follows:

[tex]\beta x^2 + \alpha x^2 - \alpha\beta = x^2(\alpha + \beta) - \alpha\beta = \frac{1}{4}x^2 - \frac{1}{4} = \frac{1}{4}(x^2 - 1)[/tex]

For the second expression:

[tex]\frac{\alpha}{\beta} + \frac{\beta}{\alpha} = \frac{\alpha^2 + \beta^2}{\alpha\beta} = 4(\alpha^2 + \beta^2)[/tex]

The sum of the squares of the roots is:

[tex]\alpha^2 + \beta^2 = (\alpha + \beta)^2 - 2\alpha\beta[/tex]

Hence:

[tex]\alpha^2 + \beta^2 = \frac{1}{16} - \frac{1}{2} = -\frac{7}{16}[/tex]

Then:

[tex]\frac{\alpha}{\beta} + \frac{\beta}{\alpha} = -\frac{28}{16} = -\frac{7}{4}[/tex]

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Answer:

[tex]y=\frac{9}{16}(x-5)^2-8[/tex]

Step-by-step explanation:

The equation in vertex form is [tex]y=a(x-5)^2-8[/tex].

Substituting in the coordinates [tex](1,1)[/tex] to solve for [tex]a[/tex],

[tex]1=a(1-5)^2-8 \\ \\ 1=16a-8 \\ \\ 9=16a \\ \\ a=9/16[/tex]

So, the equation is [tex]y=\frac{9}{16}(x-5)^2-8[/tex].

The value of equation (x + y) will be 1.

What is substitution method?

To find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.

Given that;

The equation are;

2y + 5x = 5   ... (i)

4y - x = 21    ... (ii)

Now, Solve both the equation and find the value of x and y as;

Multiply by 2 in equation (i) we get;

4y + 10x = 10

Subtract above equation by (ii);

4y + 10x - (4y - x) = 21 - 11

11x = 11

x = 1

And, 2y + 5x = 5

Substitute x = 1;

2y + 5x = 5

2y + 5 = 5

2y = 0

y = 0

So, x + y = 1 + 0 = 1

Thus, The value of (x + y) will be 1.

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Answer: The answer is y=6x.

Answer:x+x+1=13

2x+1=13

2x=13−1

2x=12

x=

2

12

​

x=6

x+1=6+1=7

Step-by-step explanation:yes

Answer:y=3/5x

Step-by-step explanation:

just plug 3/5 in and you don’t need to add the 0

AB is congruent to CD as an angle in front of them is congruent so, the sides are also congruent.

So, all coordinates are shown on the graph as follows:

(Refer to the image attached below)

Now, we can see that in the 4th quadrant, two triangles are formed that are ABE and CDE.

Then, we can conclude that:

Therefore, AB is congruent to CD as an angle in front of them is congruent so, the sides are also congruent.

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The square root x^4= x^2

Answer:

Except the last one 3:6 because its not multiplied by six but divided. Therefore the correct answer is the last one

Step-by-step explanation:

hope it helps

Answer:

+ 13

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

when you see the absolute value and the number is negative or positive it is just the whole number inside

the constant of proportionality that relates defective bulbs to total bulbs is 1 / 9.

We are given that 1 bulb out of every 9 bulbs is defective.

So, this means that if there is a total of 9 bulbs, then 1 bulb in it will be defective.

Let us assume:

Total bulbs = 9

So, this implies that:

Defective bulbs = 1

Constant of proportionality = Defective bulbs / Total bulbs.

Substituting the values in this, we get that:

Constant of proportionality = 1 / 9

Therefore, we get that, the constant of proportionality that relates defective bulbs to total bulbs is 1 / 9.

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