Help help help help math

Answer:

no solutions exist

Step-by-step explanation:

We can solve this by using system of equations and using substitution.

2(8-3y)+6y=2      Substitute x=8-3y into the first equation.

16-6y+6y=2         Distribute.

16=2                     Simplify.

16 does not equal 2, so there are no solutions.

Answer:

3x 3-x and 3+x

Step-by-step explanation:

The Pythagorean theorem is:

[tex] {c}^{2} = {a}^{2} + {b}^{2} [/tex]

where c is the hypotenuse.

The two wires in the sketch are the hypotenuse so we just use the formula

let the wires=x

So:

[tex] {x}^{2} = {12}^{2} + {6}^{2} [/tex]

[tex] {x}^{2} = 144 + 36[/tex]

[tex] {x}^{2} = 180[/tex]

[tex]x = \sqrt{180} [/tex]

[tex]x = 13.42[/tex] feet

Using the normal distribution and the central limit theorem, it is found that there is a:

a) 0.281 = 28.1% probability that the sample mean is above 500.

b) 0.0003 = 0.03% probability that the sample mean is above 500.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem:

Item a:

The probability is the p-value of Z when X = 500, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{500 - 430}{120}[/tex]

[tex]Z = 0.58[/tex]

[tex]Z = 0.58[/tex] has a p-value of 0.719.

1 - 0.719 = 0.281

0.281 = 28.1% probability that the sample mean is above 500.

Item b:

Sample of 35, hence [tex]n = 35, s = \frac{120}{\sqrt{35}}[/tex]

Then:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{500 - 430}{\frac{120}{\sqrt{35}}}[/tex]

[tex]Z = 3.45[/tex]

[tex]Z = 3.45[/tex] has a p-value of 0.9997.

1 - 0.9997 = 0.0003

0.0003 = 0.03% probability that the sample mean is above 500.

To learn more about the normal distribution and the central limit theorem, you can take a look at https://brainly.com/question/24663213

For the 20ft from doc. Set up triangle, with dr/dt on the hypotenuse = 2. 6 on the y, 20 on the x. Use x^2+ y^2= r^2. Differentiate and solve for dx/dt. 2x(dx/dt) + 2y(dy/dt)=2r(dr/dt); Since y value does not change, your y vector is equal to 0. Giving us 2x(dx/dt)=2r(dr/dt) ; dx/dt=(2r(dr/dt))/2x

Do the same thing for 10ft

No it is not surprising because as the angle between the dock and the boat decreases, more force is being used to pull up on the boat, not pull it inwards. Thus, the boats horizontal velocity will slow down as it beats the dock.

Answer:

.71

Step-by-step explanation:

Answer:

B. 0.70

Step-by-step explanation:

Just divide the total amount of money by the total amount of people.

5/7=0.71428...

if you round up correctly, you get 0.70; thus, it is B.

Also, his is for he, mom is a she, so use her instead of his...

Answer:

7.79

Step-by-step explanation:

in 30, 60, 90 triangle, hypotenuse is equal to "2x", shortest length is equal to "x" and second longest is equal to "x × square root of 3". hope this helps

Answer:

≈ 11.78 in

Step-by-step explanation:

The arc length is calculated as

arc = circumference of circle × fraction of circle

     = 2πr × [tex]\frac{\frac{\pi }{4} }{2\pi }[/tex] ( cancel 2π on numerator/ denominator )

     = 15 × [tex]\frac{\pi }{4}[/tex]

     = [tex]\frac{15\pi }{4}[/tex]

     ≈ 11.78 in ( to 2 dec. places )

Answer:

?

Step-by-step explanation:

what is the function?

a slope going up means it is positive and a slope going down means it is negative

Answer: yes they are

Step-by-step explanation:

Answer:

$3192.5.

Step-by-step explanation:

First $3000 tax is 3000 * 0.02 = $60.

Second $2000 tax is 2000 * 0.03 = $60.

Third $12000 tax is 12000 * 0.05 = $600.

Last $43,000 tax is 43000 * 0.0575 =$2472.5

Total income tax = $3192.5.

Answer:

  71.6°

Step-by-step explanation:

The angle can be found from the dot product of PQ and PR.

  PQ·PR = |PQ|×|PR|×cos(α)

where α is the angle between the two segments.

  cos(α) = (Q -P)·(R -P)/(|Q -P|×|R -P|)

  = ((0, 1, 0) -(1, 0, 0))·((0, 0, 2) -(1, 0, 0))/(|Q -P|×|R -P|)

  = (-1, 1, 0)·(-1, 0, 2)/(√(((-1)² +1²)((-1²) +2²)) = (1+0+0)/√10

  α = arccos(1/√10) ≈ 71.6°

The angle at P is about 71.6°.

_____

Additional comment

The side lengths of the triangle are √2, √5, √5. As we have seen, the angle at P is bounded by the sides of length √2 and √5. The law of cosines can also be used to arrive at the angle between these sides.

Answer:

300 seconds

Step-by-step explanation:

There are 60 seconds in a minute. If there are 5 minutes, you have to multiply 5 by 60.

5 x 60 = 300

-hope it helps

Answer:

360 sec

Step-by-step explanation:

this is because 60sec is one mintute

so 60x5= 360

Answer:

x=109 degrees

Step-by-step explanation:

By alternate interior angles, the measure of angle ADE is the same as that of EAB, both of which are 38.

Because ADE is an isosceles triangle, the measure angle EAD is equal to that angle EDA; let that measure be x.

Because the angles of a triangle add up to 180, x+x+38=180 -> 2x+38=180 -> 2x=142 -> x=71

That means that angle EDA is 180 degrees

Because x is supplementary to angle EDA, the measure of angle x is 180-71=109 degrees

Answer:

  (x -3)^2 +(y +2)^2 +z^2 = 13.25

Step-by-step explanation:

Divide by 4 and complete the squares.

  x^2 -6x +y^2 +4y +z^2 = 1/4

  (x^2 -6x +9) +(y^2 +4y +4) +z^2 = 13 1/4

  (x -3)^2 +(y +2)^2 +z^2 = 13.25

Answer:

(3-2)

Step-by-step explanation:

Step-by-step explanation:

i am very sorry but I don't know the answer

Answer:

246b  

Step-by-step explanation: i did this

Answer:

A. 1/3

Step-by-step explanation:

From 1 to ___, ____, and 2 is half and half that would be 2 and a half. the only solution would be 1/3

Answer:

boom

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

sh well cm to cm et FL to

Answer:

5 weeks

Step-by-step explanation:

John deposits $5 per week and has $10, so his equation is 5x + 10.

Jasmine's equation is 3x + 20.

Make them equal to each other and solve for x:

5x + 10 = 3x + 20

Subtract 10 from each side

5x = 3x + 10

Subtract 3x from each side

2x = 10

Divide each side by 2

x = 5

Answer:

5 weeks

Step-by-step explanation:

John:$10,$15,$20,$25,$30,$35

Jasmine:$20,$23,$26,$29,$32,$35

5 weeks

Answer: 74+39=113. So the answer is 113

Step-by-step explanation:

x = pounds birdseed

y = pounds sunflower seeds

x + y = 30

0.57x + 0.87y = 30×0.81

with this last trick (to calculate the full cost of the whole 30 pounds based on the targeted individual price per pound) we bring both constraints into the play.

from the first equation we get

x = 30 - y

and we use that in the second equation :

0.57×(30-y) + 0.87y = 30×0.81 = $24.30

17.1 - 0.57y + 0.87y = 24.3

0.3y = 7.2

y = 24

x = 30 - y = 30 - 24 = 6

she uses 6 pounds of birdseed and 24 pounds of sunflower seeds.

Answer:

Step-by-step explanation:

15y + 10 + 25y + 10

Answer:

Solution here,

Step-by-step explanation:

For simplify

First multiply the terms inside the brackets with the term outside the bracket i.e 5.

5(3y+2)+5(5y+2)

15y+10+25y+10

35y+20

Answer:

3 1/5

Step-by-step explanation:

The improper fraction 16/5 is called improper because the top number(the numerator) is bigger than the bottom number(the denominator) we "fix" this by dividing and creating a mixed number (it is called mixed because there is a whole part and a fraction part):

As 16÷5 >>> doing this division gives you 3 wholes and 1/5 leftover. We write this as

3 1/5 (in handwriting the three is big and the 1/5 is a fraction, it is the mixed number they are asking you for)

Answer:

1032/1

Step-by-step explanation:

Find the GCD (or HCF) of numerator and denominator

GCD of 4128 and 4 is 4

Divide both the numerator and denominator by the GCD

4128 ÷ 4

4 ÷ 4

Reduced fraction:

1032

1

Therefore, 4128/4 simplified to lowest terms is 1032/1.

[tex]\huge \bf༆ Answer ༄[/tex]

Let's solve ~

you can further simplify to get ~

Step-by-step explanation:

Since the initial velocity of the object is 170 ft/s, the expression for h is given by

[tex]h = -16t^2 + 170t[/tex]

In order to find the time it takes for the object to reach the height of 302 ft, we to rewrite the equation above as

[tex]302 = -16t^2 +170t \Rightarrow 16t^2 - 170t + 302 = 0[/tex]

This is a quadratic equation whose roots are

[tex]t = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]

where a = 16, b = -170 and c = 302. Using these values, we get

[tex]t = \dfrac{170 \pm \sqrt{(-170)^2 - 4(16)(302)}}{2(16)}[/tex]

[tex]\;\;\;=\dfrac{170 \pm \sqrt{28900 - 19328}}{32}[/tex]

[tex]\;\;\;= \dfrac{170 \pm 97.8}{32}[/tex]

[tex]\;\;\;= 2.3\:\text{s},\;\;8.4\:\text{s},[/tex]

This means the object will reach the height of 302 ft 2.3 seconds after launch and then at 8.4 seconds after launch (on its way down).

Answer:

Step-by-step explanation: