\(8^{\frac{1}{3} } + 16\fracx^{\frac{1}{4} } - (-2)^{2} + 8^{\frac{4}{3} }\)

Step-by-step explanation:

Four less than twice a number is sixteen.

2x − 4 = 16

Add 4 to both sides.

2x = 20

Divide both sides by 2.

x = 10

Answer:

\(\boxed{the \: number \: is \: 10}.\)

Step-by-step explanation:

\(let \: this \: number \: be : n \\ then \\ Four \: less \: than \: twice \: the \: \\ number \: is \: sixteen. \to \: can \: be \: written \: as : \\ 2n - 4 = 16 \\ to \: find \: the \: number : we \: will \: have \: to \: solve \: for \: n \to \\ 2n - 4 = 16 \\ 2n = 16 + 4 \\ 2n = 20 \\ \boxed{n = 10}.\)

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Meghan made 4 batches of cookies from the 20-cup bag of flour

Let x represent the number of batches of cookies Megan made. Since each batch is made from 3 cups of flour and the remaining  8 cups of flour she had to make a pan of muffins.

Since she had initially 20-cup bag of flour, hence:

3x + 8 = 20

3x = 12

x = 4

Hence Meghan made 4 batches of cookies from the 20-cup bag of flour.

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Answer:

Yes it is 4/3

Step-by-step explanation:

Answer:

Step-by-step explanation:

25.

\(cos 45=\frac{x}{18\sqrt{2} } \\\frac{1}{\sqrt{2}} =\frac{x}{18\sqrt{2} } \\x=\frac{18\sqrt{2}}{\sqrt{2}} \\x=18\)

  26.

sin30=30/x

\(\frac{1}{2} =\frac{30}{x} \\x=30 \times 2=60\)

Answer: $72 is the correct answer.

Answer:

Distance is 28, 7 units per minute.

Step-by-step explanation:

Explanation:

Answer:

74.483

Step-by-step explanation:

to get the mean, or the average. you add up all the numbers and divide them by how many there are.

53.9 + 73.75 + 95.8 = 223.45 ÷ 3 = 74.483

The triangle's angles are as follows:

E is a 45-degree angle.

F is a 90-degree angle.

G is a 45-degree angle.

say that the sum of the angles is 180 degrees.

Angle E + Angle F + Angle G = 180 degrees

angles E and G in an isosceles triangle coincide, we can say:

180 degrees = 2*Angle E + Angle F.

F is a right angle

2*Angle E + 90 degrees = 180 degrees

2*Angle E = 90 degrees

Angle E = 45 degrees

Angle G is also 45 degrees because Angles E and G are congruent.

Any triangle with any two sides that have the same length is known as an isosceles triangle. An isosceles triangle has two equal-sized angles that are opposite from one other and have equal sides. Triangles are three-sided polygons in geometry that can be divided into three groups based on their sides, such as:

Triangle of Scalene (All three sides are unequal)

Triangle in isosceles (Only two sides are equal)

triangle with equal sides (All three sides are equal)

From the question:

Due to the fact that EFG is an isosceles triangle, we can infer that the angles E and G on either side of the two sides EF and FG are also congruent. In order to find the angles in the triangle, we can use the fact that the total of the angles in a triangle equals 180 degrees:

Angle E plus Angles F and G add up to 180 degrees.

In an isosceles triangle, angles E and G coincide, hence we can write:

180 degrees is equal to 2*Angle E + Angle F.

Since one of the triangle's sides, EF, is perpendicular to the base FG, we also know that angle F is a right angle. Hence, we can write:

Angle E plus 90 degrees equals 180 degrees.

By calculating Angle E, we obtain:

Angle E is 90 degrees at 2*.

E is a 45-degree angle.

Angle G must also be 45 degrees because angles E and G are equivalent.

Angle E = 45 degrees

Angle F = 90 degrees

Angle G = 45 degrees

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The volume of the cone is 13 cm³. option D

To determine the volume of the cone, we have that;

The formula for calculating the volume of a cone is expressed as;

Volume = (1/3)πr ²√(L ² - r ²).

Such that;

Substitute the values, we have;

Volume = 1/3 × 3.14 ² × √(25 - 9)

Find the squares, we get;

Volume, V = 1/3 × 9. 86 × √16

Find the square root

Volume, V = 1/3 × 9.86 × 4

Volume, V = 13 cm³

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Answer:

$900  

Step-by-step explanation:

The given parameters are;

The amount Ted pays per year for insurance on his home = $1,400

The value of the insurance policy = $5000

The chance that Ted will make a claim on the policy = 10%

The expected value is given as follows

Incidence                     Probability(p)        Value(v)                                   v × p

A claim is made            0.1                  $5,000 - $1,400 = -$3,600     -$360

No claim                        0.9                 $1,400                                       $1260

Expected value is $1,260 - $360 = $900

The value the insurance company can be expected to make on average on the policy is $900    

We are given the radius of the scoop and asked to find the volume of ice cream in one scoop. By using the formula for the volume of a sphere and substituting the given radius, we can calculate the volume. The final answer is approximately 33.49 cubic inches.

a) The problem asks for the volume of ice cream in one scoop.

b) The given fact is that the radius of the scoop is 2 inches.

c) The formula to be used is the volume of a sphere, which is given by V = (4/3)πr³, where V is the volume and r is the radius.

d) Number Sentence:

  - Given: Radius (r) = 2 inches

  - Formula: V = (4/3)πr³

  - Substituting the value: V = (4/3)π(2)³

  - Simplifying: V = (4/3)π(8)

  - Evaluating: V = (4/3)(3.14)(8)

  - Multiplying: V = 33.49333333 (approx.)

e) Final answer: The volume of ice cream in one scoop is approximately 33.49 cubic inches.

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Answer:

1. He sold 5 erasers in January

2. He sold 130 erasers.

Step-by-step explanation:

1. ₹1 per eraser = ₹5 for 5 erasers

2. if you add opposites you get 0 So, ₹2 by selling one marker pen, loss of ₹1 per eraser. 65*2 is 130. So 130 erasers.

Answer:

The rate at which the tip of his shadow is moving down is \(\frac{24}{15} ft/sec\)

Step-by-step explanation:

Given - A flood lamp is installed on the ground 200 feet from a vertical wall. A six-foot-tall man is walking towards the wall at the rate of 30 feet per second.

To find - How fast is the tip of his shadow moving down the wall when he is 50 feet from the wall ?

Proof -

From the given information, the figure becomes

Triangle ABC and Triangle DBE are similar triangle

AC/DE = BC/BE

⇒h/6 = 200/(200-x)

⇒h = 1200/(200 -x)

Now,

Differentiate h with respect to t, we get

\(\frac{dh}{dt} = 1200(-\frac{1}{(200-x)^{2} } )(-1)\frac{dx}{dt}\)

⇒\(\frac{dh}{dt} = (\frac{1200}{(200-x)^{2} } )\frac{dx}{dt}\)

Now,

If the rate of the tip is moving down the wall

At x = 50 feet, dx/dt = 30 feet per second

So,

⇒\(\frac{dh}{dt} = (\frac{1200}{(200-50)^{2} } )(30)\)

⇒\(\frac{dh}{dt} = \frac{1200}{(150)^{2} } (30)\)

⇒\(\frac{dh}{dt} = \frac{1200}{(150)(150) } (30)\)

⇒\(\frac{dh}{dt} = \frac{24}{15 }\)

So, we get

The rate at which the tip of his shadow is moving down is \(\frac{24}{15} ft/sec\)

Answer:

its 60, need proof?

Step-by-step explanation:

Answer: 60

Step-by-step explanation: I took the test and got it right. Goodluck with the rest!

Answer:

4

Step-by-step explanation:

\(a_{31}\) means the element of matrix A located at the intersection 3rd row and 1st column. This would be 4.

P(x) = I(x3 - 6x2 + 21x - 54) is the degree 3 polynomial with real coefficients factorization having zeros 3, 3 - 3i, and 3 + 3i and a lead coefficient of I.

In mathematics, a number or another mathematical entity is factored, or represented as the sum of many factors, usually smaller or less complex variables of the same kind. For instance, the polynomial x2 - 4 can be factored into the number 15, which is multiplied as 3 5. In mathematics, the term "factorization" describes the division of a number through smaller amounts that are then multiplied together to create the initial number. A number is divided into one or more components through the process of factorization. As an illustration, 12 is increased by 3 and 4.

Real values in the polynomial require that the conjugate of 3 - 3i also be zero. In other words, 3 plus 3i, the complex conjugate, also contains a zero.

The polynomial can now be factored using the zero product property:

P(x) = I(x-3)(x-3/+3i)(x - 3 - 3i)

Adding up the variables results in:

P(x) is defined as I(x - 3)((x - 3) + 3i)((x - 3) - 3i)).

P(x) = I(x-3)(x-3/+3i)(x - 3 - 3i)

P(x) = I(x - 3)((x - 3)^2 - (3i)^2)

P(x) = I(x - 3)((x - 3)^2 + 9)

P(x) is equal to I(x3 - 6x2 + 21x - 54).

As a result, P(x) = I(x3 - 6x2 + 21x - 54) is the degree 3 polynomial with real coefficients having zeros 3, 3 - 3i, and 3 + 3i and a lead coefficient of I.

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Answer:

35%

Step-by-step explanation:

40 +20 +5= 65

100-65=35%

hope dis helps!

Answer:

35%

i hope it is a answer

Answer:

- domains: { 1,2,-1,-3 }

- it is a function

Step-by-step explanation:

it is a function Since there is one value of y for every value of x in the relation.

Answer:

The sum of their ages is 29, which we can express as the equation:

P + (P - 11) = 29

Simplifying the equation:

2P - 11 = 29

Adding 11 to both sides:

2P = 40

Dividing both sides by 2:

P = 20

Therefore, Pete's age, represented by "P," is 20 years old.

Answer:

point a is positive but point b is negative

Answer:

6pi meters

Step-by-step explanation:

The formula for area of a circle is

A = pi r^2

9 pi  = pi r^2

Divide each side by pi

9 = r^2

Take the square root of each side

sqrt(9) = sqrt(r^2)

3 =r

Now we can find the circumference

C = 2 * pi *r

C = 2 * pi *3

C = 6pi meters

Answer:

6pi meters

Step-by-step explanation:

give the person above brainliest

have a good one!

Answer:

z = 70°

y = 103°

Step-by-step explanation:

From the picture attached,

110° + z° = 180° [Supplementary angles]

z = 180 - 110

z = 70°

Since sum of interior angles of a polygon = (n - 2)×180°

where n = number of sides of the polygon

For a quadrilateral (n = 4),

Sum of interior angles = (4 - 2) × 180°

                                     = 360°

z° + y° + 100° + 87° = 360°

70° + y° + 187° = 360°

y = 103°

Therefore, measure of the angles x = 70° and y = 103°.

Answer:

-0.8+0.7+0.4+0.3=-0.1+0.5

The art teacher can make a maximum of 24 identical kits using all the crayons and drawing paper for proper distribution.

To determine the largest number of identical kits the art teacher can make using all the crayons and drawing paper, we need to find the greatest common divisor (GCD) of the quantities.

The GCD represents the largest number that can divide all the quantities without leaving a remainder.

The GCD of the quantities of crayons can be found by considering the prime factorization:

72 = 2³ × 3²

48 = 2⁴ × 3

48 = 2⁴ × 3

48 = 2⁴ × 3

The GCD of the crayons is 2³ × 3 , which is 24.

Now, we need to find the GCD of the quantity of drawing paper:

120 = 2³ × 3 × 5

The GCD of the drawing paper is also 2³ × 3 , which is 24.

Since the GCD of both the crayons and drawing paper is 24, the art teacher can make a maximum of 24 identical kits using all the crayons and drawing paper.

Each kit would contain an equal distribution of crayons and drawing paper.

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Answer:

\(\displaystyle g(x) = -(x + 2)(x - 4)\)

Step-by-step explanation:

First, look at the graph to determine whether it opens down or up, which in this case is down, so you insert a negative in front of the expression. Next, locate your x-intercepts [zeros (where the graph insects the x-axis)]. You will see that the graph intersects \(\displaystyle [-2, 0]\) and \(\displaystyle [4, 0],\) so what you do is insert the zeros' OPPOCITES into the equation because according to the vertex equation, \(\displaystyle y = A[x - h]^2 + k,\) that negative in front of \(\displaystyle h\) gives you the OPPOCITE outcome, so be careful.

I am joyous to assist you at any time.

With the help of proportions in the given similar triangles we know that the value of x is 3.5 units.

Euclidean geometry states that two objects are comparable if they have the same shape or the same shape as each other's mirror image.

One can be created from the other more precisely by evenly scaling, possibly with the inclusion of further translation, rotation, and reflection.

These three theorems—Angle-Angle (AA), Side-Angle-Side (SAS), and Side-Side-Side (SSS)—are reliable techniques for figuring out how similar triangles are to one another.

So, in the given situation:

TR and WY are as follows:
TR/WU

24/2

2/1

Similarly,

TS/WV

2/1

7/x

7/3.5

Therefore, with the help of proportions in the given similar triangles we know that the value of x is 3.5 units.

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