You have a 3-gallon and a 5-gallon jug that you can fill from a fountain of water. The problem is to fill one of the jugs with exactly 4 gallons of water. How do you do it?

Answer:

7.5 m = 0.0075 km (Correct)

0.31 = 310 mm (Correct)

46 m = 4,600 cm (Correct)

457 mm =4.57 cm (Incorrect)

0.6 km = 6,000 m (Incorrect)

Step-by-step explanation:

Tell me if something is wrong.

(x+8/3)²+y²=1

(x+8/3)²+y²+0²+2×0y=1

(x+8/3)²+(y+0)²=(V1)²

->center: C(8/3,0)

-> radius: V1

see the attachment photo!

Answer:

2/9

Step-by-step explanation:

8/12 you pick an office worker

4/12 chance you pick a manager

8/12 multiplied by 4/12 is 32/144

We can simplify this to 16/72

We can simplify this to 8/36

We can simplify this to 4/18

We can simplify this to 2/9

Considering that 12 is a root of the function, the value of coefficient Q is of 12.

It means that f(x) = 0.

In this problem, the function is given by:

f(x) = x² - 13x + q.

Since 12 is a root, we have that f(12) = 0, hence:

12² - 13 x 12 + q = 0

q - 12 = 0.

q = 12.

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It makes that every time we flip a fair the probability of flipping tails is 50%.

Probability determines the chances that a random event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0. If it is equally likely and unlikely that the event would happen, it would have a probability of 0.5

Probability of flipping tails = number of tails / number of sides

1/2 = 0.5 = 50%

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Answer:

[tex](6x-5)(x^2+2)[/tex]

Step-by-step explanation:

[tex]~~~6x^3 -5x^2 +12x -10\\\\=6x^3-5x^2+12x-10\\\\=x^2(6x-5) +2(6x-5)\\\\=(6x-5)(x^2+2)[/tex]

The correct true statement is the swimmer comes back up 9 seconds after the timer was started.

The maximum height of a function is the  point where the velocity the body is zero.

Given the function that represent the height of the swimmer as  h(t)=t^2−12t+27

If the velocity of the function is zero, hence;

h'(t) = 2t - 12

0 = 2t - 12

2t = 12

t = 6secs

Substitute t = 6 into the function as shown:

h(6) = 6^2−12(6)+27

h(6) = 36 - 72 + 27

h(6) = -36 + 27

h(6) = -9 feet

Hence the correct true statement is the swimmer comes back up 9 seconds after the timer was started.

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The data values that are outliers are 4 and 56.

An outlier is a number that is way smaller or way larger than that of other numbers in a data set. An outlier distorts the mean and median of the dataset.

In this data, 4 is smaller than the average of the data set and 56 is larger than the average numbers. They are the outliers.

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Answer: The value of x is 3.5

Explanation:

Equation:

y = 2x - 7

When the equation's Line intersects the x-axis, the value of y shall be always 0

Insert y = 0, to find x intercept

⇒ 0 = 2x - 7

⇒ 2x - 7 = 0

⇒ 2x = 7

⇒ x = 3.5

So coordinates: (x, y) → (3.5, 0)

Answer:

A

Step-by-step explanation:

height (y-axis) = constant × width (x-axis)

let's look at the point coordinates.

remember, an ordered pair of point coordinates consists of an x value and an associated (typically calculated by a function) y value.

we see that all y values are half of the x values (3 and 1.5, 2 and 1, 7 and 3.5, 8 and 4).

so, the constant in our equation is responsible for returning half of the x value back as the y value.

what constant factor turns a number in half ?

x × c = x/2

c = 1/2

and so, A is the right answer.

Answer:

D. 105

Step-by-step explanation:

500-270, there's 230 total 2 head.

270-100 of one head, is 170 purple one head. 170+125 purple equals 295.

296 subtract from 500 total is 205 for total green.

205-100, 105 2 head.

Based on the properties of a kite, the statement that is true is: D. KPE = TPE.

A kite is a quadrilateral in which its diagonals intersect at right angles.

Also, the non-vertex angles of a kite are congruent, that is they have equal measure.

Angle KPE and angle TPE in the given kite are right angles formed at the point of intersection of the two diagonals of the kite. They both equal 90 degrees.

Therefore, the true statement is:

D. KPE = TPE

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Answer:

v = 164.64

Step-by-step explanation:

Your friend forgot to divide 6.8 by two as 6.8 is the diameter not the radius.  The volume equation needs the radius so you divide 6.8 by 2 which equals 3.4 thats what inputed into the volume equation

Answer:

yes they do

Step-by-step explanation:

they share a ray

Celina says true that each of the following expressions is actually a binomial expression.

The binomial is a polynomial of two-term only. For example, x + 5 where x and 5 are the two separate terms.

Celina says that each of the following expressions is actually a binomial in disguise:

a.  5abc - 2a² + 6abc = 11abc - 2a²

The is a binomial expression.

b.  5x³∙2x² - 10x⁴ + 3x⁵ + 3x∙(-2) x⁴ = 7x⁵ - 10x⁴

The is a binomial expression.

c.  (t+2)² - 4t = t² + 4

The is a binomial expression.

d.  5(a - 1) - 10(a - 1) + 100(a - 1) = 95a - 95

The is a binomial expression.

e.  (2πr - πr² )r - (2πr - πr²)∙2r = -2πr² + πr³

The is a binomial expression.

Celina says true that each of the following expressions is actually a binomial expression.

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Answer:

[tex]\frac{100}{a}[/tex]

Step-by-step explanation:

Hello!

a% is the same as [tex]\frac a{100}[/tex].

a% of a can be found by multiplying them both, giving us [tex]\frac {a^2}{100}[/tex]

The value of the expression is [tex]\frac{100}{a}[/tex]

The expression E(p) represents the elasticity at point p and by putting the known data we can find the value of elasticity.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a demand function:

q=0. 6(3800-p²)

Differentiate with respect to p:

[tex]\rm \dfrac{dq}{dp} = -1.2p[/tex]

We know the elasticity:

[tex]\rm E(p) = \dfrac{dq}{dp}\times\dfrac{p}{q}[/tex]

[tex]\rm E(p) =-1.2p \times\dfrac{p}{0.6(3800-p^2)}[/tex]

[tex]\rm E(p) = -\dfrac{2p^2}{(3800-p^2)}[/tex]

Here the data for p and q are not given, but we can find any value using the above expression by putting the known data.

Thus, the expression E(p) represents the elasticity at point p and by putting the known data we can find the value of elasticity.

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Answer:

7ft; 8 minutes

Step-by-step explanation:

a. to find the height the person boarded at, plug in t=0 since this is right when the person got on the Ferris wheel. we then get:

h(0) = -45 * cos ((pi/4)*0) + 52 = 7 ft

b. to find the period, we have pi/4 * t = 2*pi, solve for t to get t=8

610

Step-by-step explanation:

The number of socks for Hailey will be 163.

The Percentage is defined as representing any number with respect to the 100. It is denoted by the sign %.

Given that:-

The number of Haley's socks will be calculated as=

Socks = 777 x 21/100

Socks = 777 x 0.21

Socks = 163

Therefore the number of socks for Hailey will be 163.

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Answer:

Step-by-step explanation:

V=14h﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4aBase sidebBase sidecBase sidehHeight

Answer:

If I am not mistaken the number is 54,810.

Hope I helped.

Answer: A

It has a negative gradient.

Hope this helps :))

P.s. Can you  mark me as the brainliest? <3

Answer:

Step-by-step explanation:

Remark

You can read the y intercept right off the graph. Follow the y axis upwards until the line intercepts the y axis. I think you will find it is at 0,5

So far what you know is

y = mx + 5

Finding m is a little harder. I would use 6,0 and 0,5 as the two points that will define m.

Givens

x1 = 6

x2 = 0

y1 = 0

y2 = 5

Equation

m = (y2 - y1) / (x2 - x1)           Put the givens into this equation.

Solution

m = (5 - 0) / (0 - 6)

m = 5/-6

m = - 5/6

Answer

The line is

y = -5/6 x + 5

Answer:

90π in²

Step-by-step explanation:

  r = 3 in

  h = 10 in

     [tex]\sf \boxed{\text{\bf Surface area of cylinder =$\pi r^2h$}}[/tex]

                                                   [tex]= \pi 3*3*10\\\\= 90 \pi \ in^2[/tex]

In this question it is given that the radius of a cylinder is 3 inches. The height of the cylinder is 10 inches. We are asked to calculate the surface area of the cylinder in terms of π .

Radius = 3 inches

Height = 10 inches

We know,

[tex] \star \: \small \boxed{\rm{ Surface \: area \: of \: a \: cylinder = πr²h}}[/tex]

Substituting the values we get

[tex] \small\sf{ Surface \: area \: of \: a \: cylinder = π × 3² × 10}[/tex]

[tex] \small\rm{ Surface \: area \: of \: a \: cylinder = π × 3 \times 3 × 10}[/tex]

[tex] \small\rm Surface \: area \: of \: a \: cylinder = π × 90[/tex]

[tex] \small\sf{ Surface \: area \: of \: a \: cylinder = \bf{90 π \: inches²}}[/tex]

Answer:

34/48

Step-by-step explanation:

So to answer this problem, we need to know two things:
1) The number of people who made a purchase
2) The number of people who came into the store

The problem gives us 1), which is 34.
The answer for 2) is 34+14, since that's the total number of people who came into the store. This means that the ratio is 34/48.

The system of equations is consistent and independent and the solutions are x = 4, y = 5, and z = -1 option third is correct.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have three linear equations in three variables:

x - y - z = 0 ..(1)

2x - y + 2z = 1 ..(2)

x - y + z = -2 ..(3)

From the equation (1):

[tex]\rm x=y+z[/tex]

Plug this value in the equation (2) and (3):

[tex]\rm 2\left(y+z\right)-y+2z=1\\\\ y+z-y+z=-2[/tex]

After solving we get:

z = -1

y = 5

Plug the above two values in equation (1) we get:

x = 4

Thus, the system of equations is consistent and independent and the solutions are x = 4, y = 5, and z = -1 option third is correct.

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Answer:

No

Step-by-step explanation:

Since an equilateral triangle has equal sides and angles, each angle measures 60°, which is acute. Therefore, an equilateral angle can never be obtuse-angled. A triangle cannot be right-angled and obtuse angled at the same time. Since a right-angled triangle has one right angle, the other two angles are acute.

Answer:

false

Step-by-step explanation: