-1/2g + 13 = 3g
Solve the equation

Answer:

Drawing 4 - 1/10

Drawing odd number - 1/2

Not drawing 3- 9/10

Drawing 5 or 6 -  1/5

Drawing a number greater than 9 - 0

Let me know if this helps!

\(\textit{exponential form of a logarithm} \\\\ \log_a(b)=y \qquad \implies \qquad a^y= b\qquad\qquad \\\\[-0.35em] ~\dotfill\\\\ \log_a(2)=f\hspace{5em} \log_a(3)=g\hspace{5em}\log_a(5)=h \\\\\\ 2^f=a\hspace{8em}3^g=a\hspace{7em}5^h=a\)

Answer:

23 cubic units

Step-by-step explanation:

1st layer: 8 units
2nd layer: 7 units
3rd layer: 5 units
4th layer: 3 units

8+7+5+3 = 23
See the attachments below

Hope this helps :)

The total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

From the figure, the area of triangles can be calculated using the:

Area = (1/2)height×base length

Area of three triangle = 1/2(4×6) + 1/2(6×4) + 1/2(4×6)

Area of three triangle = 1/2(24×3) = 36 square units

Area of the figure = area of three triangle + area of the rectangle

= 36 + 6×4

= 60 square units

Thus, the total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

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Unit price = total price / total quantity

Unit price = 63.75 / 5

Unit price = $12.75

Thus, the volume of cylinder with the given height and diameter is found as 1413 ft³.

A cylinder is three-dimensional. It's not a flat thing. There are parallel circular bases in this shape. These bases have a curved face affixed to them. A cylinder in this instance has three faces. Along both end of a curved face, which rounds back to the face's origin, are two spherical bases.

Given that-

Volume of cylinder = πr²h

Volume of cylinder = 3.14 *5²*18

Volume of cylinder = 3.14*25*18

Volume of cylinder = 1413 ft³

Thus, the volume of cylinder with the given height and diameter is found as 1413 ft³.

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Answer:

-3.6

Step-by-step explanation:

Answer:

decimal form: -3.6

fraction form: -18/15

mixed number form: -3 3/5

Step-by-step explanation:

have a good day! <3

There are 50 oranges did Molly pick.

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

Higher Order Thinking Molly and five friends picked a total of 300 oranges.

Now,

Since, Number of oranges = 300

And, Number of persons = 6

Hence, Number of oranges picked by each person = 300 / 6

                                                                                = 50

Thus, There are 50 oranges did Molly pick.

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Answer:

Step-by-step explanation:

The assumptions include:

The samples from each population must be independent of one another: this was adequately met.

The populations from which the samples are taken must be normally distributed: this was not talked about

The population standard deviations must be known: not known

or the sample sizes must be large (i.e. n1≥30 and n2≥30: true

The validity conditions for a two-sample z-test/interval were not all adequately met

The equation is y = -5x-20.

GIven:

The equation is, y = -5x + 2.

A point on the line is (-3, 5).

The objective is to write an equation that passes throught the point and parallel to the given equation.

For parallel lines the product of slope values will be equal.

From the given equation, consider the slope of the equation as, m1 = -5.

Then, the slope of the parallel line will also be, m2 = -5.

Then, the equation of parallel line can be written as,

Here b represents the y intercept of the parellel line.

To find the value of b, substitute the given points in the above equation.

Now, substitute the value of b in the equation of parellel line.

Hence, the equation of parellel line is y = -5x-20.

Answer:

4/15

Step-by-step explanation:

2/5 drive

1/3 bus

and rest walk

fraction of those who walk is 1-(2/5+1/3)

2/5+1/3=(6+5)/15=11/15

15/15-11/15=4/15

Answer:

4.77*10^5<7.47*10^5

Step-by-step explanation:

4.77*10^5=477000

7.47*10^5=747000

Answer:

5/10= 1/2            4/12=1/3

3/9= 1/3

Step-by-step explanation:

Answer:

5/10 = 1/2

4/12 = 1/3

3/9 = 1/3

i believe these are the answers

Answer: I am pretty sure its C i hope this helps :D

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer: The scaffolding to storage framework was proposed to account for the movement from _unconscious_______ to __conscious______.

conscious ; unconscious

Step-by-step explanation:

Hope this helps

To solve this problem, we need to find the lengths of the two pieces when the wire is cut into two parts. Let's denote the length of each leg of the triangle as\(\(x\).\)

The perimeter of the triangle is the sum of the lengths of its three sides. Since the two legs are equal in length, the perimeter can be expressed as \(\(2x + x = 3x\).\)

The length of the wire is given as 71 cm, so we have the equation \(\(3x = 71\).\)

Solving for\(\(x\),\) we divide both sides of the equation by 3:

\(\(x = \frac{71}{3}\).\)

Now that we know the length of each leg of the triangle, we can proceed to the next part of the problem.

The circumference of a circle is given by the formula \(\(C = 2\pi r\)\), where\(\(C\)\)is the circumference and r is the radius. In this case, the wire of length xis bent into the shape of a circle, so we can set the circumference equal to x and solve for the radius r:

\(\(x = 2\pi r\).\)

Substituting the value of x we found earlier, we have:

\(\(\frac{71}{3} = 2\pi r\).\)

Solving for r, we divide both sides of the equation by \(\(2\pi\):\)

\(\(r = \frac{71}{6\pi}\).\)

Therefore, the two pieces of wire will have lengths\(\(\frac{71}{3}\)\)cm and the radius of the circle will be\(\(\frac{71}{6\pi}\)\) cm.

In summary, when the 71 cm wire is cut into two pieces, one piece will have a length o\(\(\frac{71}{3}\)\)cm, which can be bent into the shape of an equilateral triangle with legs of equal length, and the other piece can be bent into the shape of a circle with a radius of \(\(\frac{71}{6\pi}\)\) cm.

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Answer:

x=30

Step-by-step explanation:

a straight line is 180 degrees so to figure out x you would do 180-151 which equals 29 however if u plug 29 in for x it wouldn't work because (29-1) equals 28 and 151+28 do not equal to 180 degrees so x would equal 30 because (30-1) is 29

Step-by-step explanation:

straight line = 180°

x= 180 - 151 +1

x = 30

missing angle = x -1

= 30 - 1

= 29

Answer:

Each person pays $9.72

Step-by-step explanation:

Add up the cost of the large pizzas, small drinks, and the tip, then divide by 5.

Comparing the distances traveled, we can see that Michael can drive farther on 40 gallons of gasoline.

Ratio Tables:

Ratio table for Carmen looks like:

miles driven | gallons

-------------------|--------

230               | 767

460               | 1,533.3

690               | 2,300

920               | 3,067

1,150             | 3,833.3

Ratio table for Michael looks like:

miles driven | gallons

------------------|--------

230              | 7.077

460              | 14.154

690              | 21.231

920              | 28.308

1,150             | 35.385

What is meant by distances?

Distance refers to the space between two points or objects and is usually measured in units such as meters, kilometers, miles, or light years. It can also refer to the degree of separation or difference between two ideas or concepts.

What is meant by gallons?

A gallon is a unit of measurement for volume, commonly used for liquids such as gasoline, water, and milk. In the United States, one gallon is equal to 3.785 liters, while in the UK, it is equal to 4.546 liters.

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The size of angle ACB to the nearest degree is 88 degree.

Construction Steps:

Create a line segment BC with the property AC = 4 cm.

Draw two arcs that meet at point A by using B as the centre and a radius of 4 cm, and C as the centre and a radius of 7 cm.

Join AB and AC now. Consequently, the necessary triangle is ABC.

With the use of a compass, draw a line segment AB = 7 cm from A, cutting an arc AC = 4 cm.

Cut an arc of 3 cm from point B.

Embrace BC and AC

Triangle with  angle ABC is necessary.

< ACB = 88 degree

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Answer:

x=-5, y=-1

Step-by-step explanation:

Answer: D

Step-by-step explanation:

(4,16)

The power emitted by the star's surface is much greater than the power generated by its interior.

a) The power generated by the star's interior can be calculated using the formula for the volume of a sphere:

V = (4/3)πr³

V = (4/3)π(7x10^8)³ ≈ 1.41x10^27 cm³

Multiplying this volume by the power generated per cubic centimeter, we get:

P(interior) = 3x10^-7 watts/cm^3 x 1.41x10^27 cm^3 = 4.23x10^20 watts

The power emitted by the star's surface can be calculated using the formula for the surface area of a sphere:

A = 4πr²

Substituting r = 7x10^8 cm, we get:

A = 4π(7x10^8)^2 ≈ 6.16x10^18 cm^2

Multiplying this area by the power emitted per square centimeter, we get:

P(surface) = 6,000 watts/cm² x 6.16x10^18 cm^2 = 3.70x10^22 watts

We can see that the power emitted by the star's surface is much greater than the power generated by its interior.

b) Following the same process as in part (a), we get:

V = (4/3)π(5x10^12)³ = 5.24x10^38 cm³

P(interior) = 3x10^-7 watts/cm^3 x 5.24x10^38 cm^3 = 1.57x10^32 watts

A = 4π(5x10^12)^2 ≈ 3.14x10^26 cm²

P(surface) = 6,000 watts/cm^2 x 3.14x10^26 cm^2 = 1.88x10^30 watts

Again, we see that the power emitted by the star's surface is much greater than the power generated by its interior. However, the difference between the two quantities is much smaller in this case compared to the previous case.

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Answer:

21, 24, 27, 30, 33, 36, 39.

Step-by-step explanation:

Answer:

multiples of 3 : 21, 24, 27, 30, 33, 36, 39.

multiples of 2 : 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40

Step-by-step explanation:

Answer:

y'=|x-5|-1

Step-by-step explanation:

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Answer:

The answer is x=-5

Step-by-step explanation:

Step 1: Divide both sides by 4.

4x /4  =  −20/4

x=−5

Answer:

1/4

Step-by-step explanation:

2/4 *1/2

(2/4 = 1/2)

1/2 * 1/2

1/4