ASAP!! ITS URGENT

Find the slant height of a cone if the volume is 301.44 mm^3 and the altitude is 8 mm.

Answer:

84

Step-by-step explana8tion:

Answer:

no because , tx can also be equal to 0

when t = 0.

\(0 \times x = 0\)

When a partnership is formed without a written partnership agreement, the default rules under the Uniform Partnership Act apply. The most important of these rules is the "equal sharing rule" which states that partners share profits and losses equally regardless of their contributions or efforts.

This means that, in the given scenario, James and Carol are entitled to split the profit earned by the partnership equally between them, despite Carol contributing 90% of the capital and doing 90% of the work.

The equal sharing rule can be problematic when there is a significant disparity in the contributions or efforts of the partners. To avoid this, it is highly recommended to have a comprehensive partnership agreement in place from the outset that clearly outlines each partner's role, responsibilities, and share of profits and losses. Such an agreement can also address other important aspects of the partnership such as decision-making, dispute resolution mechanisms, and termination procedures.

In summary, when a partnership is formed without a written partnership agreement, the default rules under the Uniform Partnership Act apply and partners share profits and losses equally regardless of their contributions or efforts. It is therefore important for partners to have a partnership agreement in place to avoid any potential conflicts or misunderstandings.

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Answer:

5,868,000

Step-by-step explanation:

2,934,000 x 2 = 5,868,000

Step-by-step explanation:

We can find the other point using the axis of symmetry.

The axis of symmetry for a parabola passes through the x coordinate of the vertex.

So our axis of symmetry is x=4, which is a vertical line.

For any point on a parabola curve except the vertex, there will two points that share the same y value. The two x coordinates of those points midpoints should be the axis of symmetry.

So,

If we know (0,-6) and the vertex is 4, let's find the other point

\(( \frac{0 + b}{2} = 4\)

\(b = 8\)

So our other point is

(8,-6).

So the answer to #1 is we found point (8,-6) by using the axis of symmetry. By reflecting the point (0,-6) about the vertical line x=4, we end up getting the point (8,-6)

To find q, q(x) has the same vertex, so it is (4,10).

We know the axis of symmetry is x=4, we also know the y intercept is 18 so we have point (0,18)

Using the axis of symmetry we will get (8,18).

So the graphs above are the graphs of p and q

The graph facing upwards is q

The graph facing downwards is p.

For #2, you can say we know the vertex is (4,10) and using the y intercept and axis of symmetry we found the other point on the curve.

I don't fully see the table but if the other coordinates have a higher y value, the vertex is a minimum.

Else, of the other coordinates have a lower y value, the vertex is a maximum.

Answer:

This expression is not factorable with rational numbers.

Answer:

Brand x: 80

Brand y: 45

Step-by-step explanation:

x + y = 125

20x + 15y = 2275

    -20x - 20y = -2500

(+)  20x + 15y = 2275

--------------------------------

               -5y = -225

y = 45

x + y = 125

x + 45 = 125

x = 80

Answer:

Brand x: 80

Brand y: 45

Given that AC is a diameter of the circle, we can conclude that triangle ABC is a right triangle, with AC being the hypotenuse. The area of the circle is not directly related to finding the lengths of BC or AB, so we will focus on the given information: AB = 16 units.

Using the Pythagorean theorem, we can find BC. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (AC) is equal to the sum of the squares of the other two sides (AB and BC):

AC² = AB² + BC²

Substituting the given values, we have:

(AC)² = (AB)² + (BC)²

(AC)² = 16² + (BC)²

(AC)² = 256 + (BC)²

Now, we need to find the length of AC. Since AC is a diameter of the circle, the length of AC is equal to twice the radius of the circle.

AC = 2 * radius

To find the radius, we can use the formula for the area of a circle:

Area = π * radius²

Given that the area of the circle is 2897 units², we can solve for the radius:

2897 = π * radius²

radius² = 2897 / π

radius = √(2897 / π)

Now we have the length of AC, which is equal to twice the radius. We can substitute this value into the equation:

(2 * radius)² = 256 + (BC)²

4 * radius² = 256 + (BC)²

Substituting the value of radius, we have:

4 * (√(2897 / π))² = 256 + (BC)²

4 * (2897 / π) = 256 + (BC)²

Simplifying the equation gives:

(4 * 2897) / π = 256 + (BC)²

BC² = (4 * 2897) / π - 256

Now we can solve for BC by taking the square root of both sides:

BC = √((4 * 2897) / π - 256)

To find the measure of angle BC (mBC), we know that triangle ABC is a right triangle, so angle B will be 90 degrees.

In summary:

BC = √((4 * 2897) / π - 256)

mBC = 90 degrees

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\(\longrightarrow{\green{\frac{5}{6}}}\) 

\(\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}\)

\( \frac{1}{2} + \frac{1}{3} \)

Since the denominators are unequal, we find the L.C.M (lowest common multiple) for both denominators.

The L. C. M for 2 and 3 is 6.

Now, multiply the L.C.M. with both numerator & denominator.

\( = \frac{1 \times 3}{2 \times 3} + \frac{1 \times 2}{3 \times 2} \)

\(= \frac{3}{6} + \frac{2}{6} \)

Now that the denominators are equal, we can add them.

\(= \frac{3 + 2}{6} \\ \\ = \frac{5}{6} \)

\(\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}\)

Answer:

Hey, could you please add the number line to the question too

Adding and subtracting fractions involves combining or separating two or more fractional values. The process of adding or subtracting fractions requires finding a common denominator, which is the least common multiple of the denominators of the fractions being added or subtracted.

Here's the step-by-step process for adding or subtracting fractions:

Find a common denominator: The denominator of a fraction represents the number of equal parts into which a whole is divided. To add or subtract fractions, the denominators must be the same. If the denominators are different, you must find a common denominator by finding the least common multiple (LCM) of the denominators.

Convert the fractions to equivalent fractions with the common denominator: Once you have found a common denominator, you must convert each fraction to an equivalent fraction with the same denominator. You can do this by multiplying both the numerator and denominator of each fraction by the same number.

Add or subtract the numerators and place the sum over the common denominator: After converting each fraction to an equivalent fraction with the same denominator, you can add or subtract the numerators and place the sum over the common denominator to find the result.

Simplify the answer: Finally, simplify the answer by dividing both the numerator and denominator by their greatest common factor, if possible.

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Suppose the textbook costs $1, the first markup by the publisher would yield

Now do the same thing as above however we apply the markup by the bookstore using $1.65

From $1 to $2.31, we can get the percentage by dividing $2.31 to $1 and multiply by 100 percent.

The percentage of the original cost you pay is 231%.

Answer:

-121 + 7

Step-by-step explanation:

Do some rearanging...

4y^2 - 26 - 8y + 33 - 14y^2 + 67y

4y^2 -8y - 14y^2 + 67y - 26 + 33

= 16y - 8y - 196y + 67y - 26 + 33

= -121y + 7

I did it mentally so I apologize for any mistakes.

Answer:

Justin is 23 years old, and Aimee is 42 years old.

Step-by-step explanation:

Let Marcella's age be represented by x, and Justin's age by t.

Given that Justin is 2 years older than one third Marcella's age.

t = \(\frac{1}{3}\) x + 2

t = \(\frac{x}{3}\) + 2 ........... 1

Also, Aimee is four years younger than 2 times Justin's age.

Aimee = 2 x t - 4

Aimee = 2t - 4 .......... 2

But, Marcella's age is 63 years, so that from equation 1;

Justin's age =  \(\frac{x}{3}\) + 2

                    = \(\frac{63}{3}\) + 2

                    = 21 + 2

                    = 23

Justin is 23 years.

From equation 2,

Aimee = 2 x 23 - 4

           = 46 - 4

           = 42

Aimee is 42 years.

Therefore,

Marcella is 63 years old, Justin is 23 years old, and Aimee is 42 years old.

Using it's definition, the probabilities are given as follows:

The probability of an event in an experiment is calculated as the number of desired outcomes in the context of the experiment divided by the number of total outcomes in the context of the experiment.

The total number of bulbs in this problem is given as follows:

6 + 9 + 5 = 20.

Six of them are red, hence the probability of a red bulb is:

p = 6/20 = 0.3 = 30%.

Nine of them are blue, hence the probability of a blue bulb is:

p = 9/20 = 0.45 = 45%.

Five of them are green, hence the probability of a green bulb is:

p = 5/20 = 0.25 = 25%.

The probability of a red or blue bulb is:

p = 0.3 + 0.45 = 0.75.

The probability of a blue or green bulb is:

p = 0.45 + 0.25 = 0.6.

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Answer:

x > -2

Step-by-step explanation:

\(-\frac{x}{2} + \frac{3}{2} < \frac{5}{2} \\-\frac{x}{2} < \frac{2}{2} \\-\frac{x}{2} < 1\\-x < 2\\-\frac{x}{-1} < \frac{2}{-1} \\x > -2\)

See picture of graphed number line below:

Answer:

12x+4

Step-by-step explanation:

For a triangle with base of 10 inches and altitude of 16 inches, its area will be 80 in² (third option).

Calculation For the Area of the Triangle:

It is given that,

The base of the triangle, B = 10 inches

The altitude from the base of the triangle or height, H = 16 inches

Now, the formula used for finding the area of a triangle is given as follows,

Area, A = (1/2) × B × H

Substituting the given values of B and H in the above formula for area, we get,

A = (1/2) × (10 inches) × (16 inches)

A = 5 × 16 inches²

A = 80 inches²

Thus, the area of the triangle have base 10 inches and altitude 16 inches is 80 square inches.

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The degrees of rotation that will carry the square onto itself are,

⇒ 90°, 180°, 270°, 360°

Since, A Square is a two dimension figure with 4 sides, 4 corners and 4 right angles. All the sides of the square are equal and parallel to each other.

Given here:

A square is rotated clockwise about center point P.

Now , Since there are have 4 vertices, your starting vertex can land in 4 different starting places and still come up with the same figure.

So if you take 360/4 you get 90 degree rotations to each consecutive vertex.

or more specifically;

= 360/4

= 90

Hence, the square will coincide itself after every integral multiple of 90.

Thus, 90°, 180°, 270°, 360° are the required angles of rotation.

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Answer:

D

Step-by-step explanation:

base area = (6 · 4)/2 = 24/2 = 12 cm²

half base length = 6 : 2 = 3 cm

leg = \(\sqrt{3^2+4^2} = \sqrt{9 + 16} = \sqrt{25} = 5\) cm

perimeter = (5·2) + 6 = 10 + 6 = 16 cm

lateral area = 16 · 20 = 320 cm²

surface area = (2 · 12) + 320 = 24 + 320 = 344 cm²

The IRR of the project is  11.76%

To calculate the internal rate of return (IRR) of the project, we can use the Net Present Value (NPV) formula. The IRR is the discount rate that makes the NPV equal to zero.

Initial investment (CF0) = -$71,300.00

Annual cash flows (CF1) = $8,400.00

NPV = $8,000.00

We can set up the equation:

NPV = CF0 + CF1 / (1 + IRR) - CF0 = 0

Substituting the given values:

$8,000.00 = -$71,300.00 + $8,400.00 / (1 + IRR) - -$71,300.00

Simplifying the equation:

$8,000.00 = $8,400.00 / (1 + IRR) + $71,300.00

Now, let's solve for IRR:

$71,300.00 = $8,400.00 / (1 + IRR)

Dividing both sides by $8,400.00:

8.5 = 1 / (1 + IRR)

Taking the reciprocal:

1 / 8.5 = 1 + IRR

1 / 8.5 - 1 = IRR

IRR ≈ 0.1176 or 11.76%

Therefore, the IRR of the project is approximately 11.76%.

This is the general answer

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Answer:

1/3 = 0.666666666666

2/5 = 0.4

The function that has a vertex on the y-axis is f(x) = (x - 2)(x + 2)

For a function to have its vertex on the y-axis, then the coordinate of the vertex must be:

(h,k) = (0,y)

A quadratic function is represented as:

f(x) = (x - h)^2 + k

So, we have:

f(x) = (x - 0)^2 + k

Evaluate

f(x) = x^2 + k

From the list of options, we have:

f(x) = (x - 2)(x + 2)

Expand

f(x) = x^2 - 4

Hence, the function that has a vertex on the y-axis is f(x) = (x - 2)(x + 2)

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X is the number of songs and Y the number of pics

our 2 equations will be - X+y=11 & 4x+2y=24

consider x=11-y

Lets replace x in 2:

=4(11-y) +2y=24

=44-4y+2y=24

=44-24= 4y-2y

=20= 2y

=Y=20/2

=Y=10

Lets replace y in 1

=X+10=11

=X=11-10

=X=1

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Answer: 1130 grams.

Step-by-step explanation:

She has 1130 grams remaining after converting 1.6kg to grams (160 0grams).

Answer:

Step-by-step explanation:

convert into grams

multiply 1000 by 1.6

Now substract 470g from it

subtract 470 from 1600

convert the g back into kg

divide 1130 by 1000

slope intercept form: y = mx + b    [ where m is slope and b is y-intercept ]

\(\dashrightarrow \ \sf9x + 3y = 27\)

\(\dashrightarrow \ \sf 3y = 27 -9x\)

\(\dashrightarrow \ \sf y = \dfrac{27 -9x}{3}\)

\(\dashrightarrow \ \sf y = -3x + 9\)

Here, the "slope is -3"  and  "y-intercept is 9"

Slope intercept form:-

Now convert

Cancel 3

Each rectangle is 1/3 of the area of the complete design.

A fraction represents the parts of a whole or collection of objects e.g. 3/4 shows that out of 4 equal parts, we are referring to 3 parts.

Looking at the design, you will be notice that the main (bigger) rectangle is divided to three smaller rectangles. Thus, each rectangle is one out of three  rectangles i.e. 1/3.

Therefore, each rectangle is 1/3 of the area of the complete design.

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Complete Question

Check attached image

Answer:

a) 20 minutes

b) 36 km/h

c) 33.67 km

d) continuous driving without any stationary phases.

Step-by-step explanation:

by the way, speed is specified in distance per time unit. in your example as km/h. and that is how your write this.

not km/h¯¹. that would be wrong, as that would actually be km×h. but you can write e.g. km×h¯¹. that is the same as km/h.

between minutes 5 and 25 there is no progress in distance. so, for these 20 minutes the bus was stationary.

in the first 5 minutes the bus drove 7-4=3 km.

so, in 5 minutes 3 km. to determine the speed we need to calculate up to see, how many km would be have driven in a full hour (60 minutes). the same factor for the time has then to be applied also to the distance to keep the ratio unchanged.

5 × x = 60

x = 12

3 × 12 = 36

so, the speed in these first 5 minutes was 3 km/5 min.

or then in km/h : 36 km/h

between the minutes 25 and 45 the bus drove with a speed of 80km/h.

and the starting point there was at 7 km.

so, the bus drove s-7 km in 20 minutes.

as before, let's first find the scaling factor to deal with a full hour instead of only 20 minutes.

20 × x = 60

x = 3

as before : distance × scaling factor = distance for km/h

(s-7) × 3 = 80

3s - 21 = 80

3s = 101

s = 33.666666666... km