Of the 34 students in a class there are 2 fewer students with blue eyes than there are with hazel eyes. also there are twice as many students with brown eyes. which of these is either the number of students with blue eyes the number of students with brown eyes or the number of students with hazel eyes. select all that apply.

A. 8
B. 10
C. 12
D. 16
E. 20
F. 34​

Answer:

10. y=the total amount of money

A) y=4m

B) y= 4(5.25)

y= $21

11. y= total amount of money

A) y= 40m + 35

B) y= 40(10) + 35

y= $435

Number 10:

You know five people, you and four friends, are contributing the same amount of money for food.  Lets say F = Food and M=Money.  Since they are contributing the same amount of money, it would be 5 * m, or 5m.  So, F would equal 5m.   F=5m.

Part B-  You would do the same expression, F=5m, but you would instead plug 5.25 in for m.  So, 5.25 times 5 would equal 26.25 dollars.

Number 11:

Part A- Let M equal months.  $40 times the number of months + 35 is the total cost, so 40m +35 is the expression.

Part B-  Since the total cost is 40 dollars times the number of months + $35, you would multiply 40 * 10, to get 400 dollars over 10 months.  Then you would add the $35 fee, so the answer would be $435.

Answer:

{x,y} ={0,-7}

Step-by-step explanation:

[1]  3 x - 2 y = 14

[2] 5 x 6 y =42

Answer:

x=10

Step-by-step explanation:

divide -6/-3 to get 2

the equation should now look like 12=x+2

then subtract 2 from both sides (the 12 and 2)

last move the variable(in this case x) to the left

Answer: 12.5

Step-by-step explanation:

12.5 is the length of BC.

Here, we have,

given that,

In the diagram shown below, AC is tangent to circle o at A and to circle Pat C, OP intersects AC at B, OA = 5, AB = 5, and PC = 10.

now, we know that,

∠OAB and  ∠BCP are right angles, because of the tangents.

and, ∠OBA ≅ ∠CBP (vertical angles)

thus, we get,

ΔAOB ≅ ΔCBP, by AA rule.

so, we can set up the proportion:

10/4 = x/5

or, x = 12.5

Hence, 12.5 is the length of BC.

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The volume of the figure is determined as 228.67 π mi³.

option A.

The volume of the figure is calculated as follows;

The given figure is cone, and the formula for volume of cone is;

V = ¹/₃πr²h

where;

The volume of the cone is calculated as;

V =  ¹/₃πr²h

V =  ¹/₃π ( 7 mi)² (14 mi )

V = 228.67 π mi³

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The first statement is false and second statement is true.

a. In a reflection, pairs of corresponding points lie on parallel lines. False.

When we consider the reflection transformation, the corresponding points lie on a single line perpendicular to the reflecting line.

The reflecting line serves as the axis of reflection, and the corresponding points are equidistant from this line.

To illustrate this, imagine a triangle ABC and its reflected image A'B'C'. The corresponding points A and A' lie on a line perpendicular to the reflecting line.

The same applies to points B and B', as well as C and C'.

Therefore, the pairs of corresponding points do not lie on parallel lines but rather on lines perpendicular to the reflecting line.

b. In a translation, pairs of corresponding points are on parallel lines. True.

When we consider the translation transformation, all pairs of corresponding points lie on parallel lines.

A translation involves shifting all points in the same direction and distance, maintaining the same orientation between them.

Therefore, the corresponding points will form parallel lines.

For example, let's consider a square ABCD and its translated image A'B'C'D'.

The pairs of corresponding points, such as A and A', B and B', C and C', D and D', will lie on parallel lines, as the entire shape is shifted uniformly in one direction.

Hence the first statement is false and second statement is true.

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The pressure is 1273 N/m^2.

To calculate pressure, we use the formula:

Pressure = Force / Area

Substituting the given values, we get:

Pressure = 70 N / (550 cm^2)

Converting cm^2 to m^2, we get:

Pressure = 70 N / (0.055 m^2)

Pressure = 1273 N/m^2 (rounded to the nearest integer)

Therefore, the pressure is 1273 N/m^2.

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Answer:

30

Step-by-step explanation:

Substitute 24 for w

2(24) - 18

multiply 24 by 2

48 - 18

Subtract 18 from 48

Answer: 30

Answer:

I think it’s 80

Step-by-step explanation:

Because it’s the same side just a different angle if it makes sense

Answer:

\(\huge\boxed{\sf x = -100}\)

Step-by-step explanation:

\(\displaystyle -\frac{x}{5} -8=12\\\\Add \ 8 \ to \ both \ sides\\\\-\frac{x}{5} = 12+ 8\\\\-\frac{x}{5} = 20\\\\Multiply \ both\ sides \ by \ 5\\\\-x = 20 \times 5\\\\-x = 100\\\\Multiply\ both \ sides \ by\ -1\\\\x = -100\\\\\rule[225]{225}{2}\)

Answer:

6

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

48 divided by 8 = 6 or 8 x 6 = 48

Answer:

2/15 or 0.1333

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Note that x is opposite to the given angle and we are also given the hypotenuse.

Since we have an angle and the side opposite to it and the hypotenuse, we can use the sine ratio. Recall that:

\(\displaystyle \sin \theta =\frac{\text{opposite}}{\text{hypotenuse}}\)

The opposite side is x, the hypotenuse is 15, and the angle is 53. Substitute:

\(\displaystyle \sin 53^\circ = \frac{x}{15}\)

Solve for x:

\(x=15\sin 53^\circ\)

Use a calculator (make sure you're in Degrees Mode!). Hence:

\(x=11.9795...\approx 12\)

Our answer is C.

Answer:

C. 12

Step-by-step explanation:

Pythagoras Theorem

Answer:

Sorry i dont understand japanese... sorry;-;

Step-by-step explanation:

Answer:

cf chocolate fudge

pbf peanut butter fudge

A) 7.50 cf + 7.00 pbf = $1,065

B) cf + pbf = 146

Multiplying equation B) by -7.50

B) -7.50cf -7.50pbf = -1,095 then adding equation A)

A) 7.50 cf + 7.00 pbf = $1,065

-.50pbf = -30

pbf = 60 pounds of Peanut butter fudge

cf = 146 -pbf = 86 pounds of peanut butter fudge

Double Check

86 + 60 = 146

7.50 * 86 + 7.00 * 60 = 1,065.00

Correct!!!

Step-by-step explanation:

Answer:

2nd option

Step-by-step explanation:

- 5 = \(\frac{-5}{1}\) ← in the form \(\frac{a}{b}\)

\( \large \mathfrak{Solution : }\)

Degree of a polynomial is the highest exponential power in the expression.

i.e 9 here

so, degree of the given expression is 9

Answer:

\( 12.0^\circ \)

Step-by-step explanation:

Think of a right triangle. It may help you to draw it.

Start at a point. Draw a point and label it point A. That is where the plane takes off from. Now draw a diagonal segment tilted up to the right and stop at a point and label it B. Segment AB is the path of the airplane. Now draw a segment down  vertically to a point you will label C, so that points A and C are on the same horizontal line. Connect points A and C.

You now have a right triangle. Angle C is the right angle. AB is the hypotenuse and is 5.4 km. That is the actual distance the plane traveled. BC is 1.12 km (since 1120 m = 1.12 km) and is a leg of the right triangle. The angle you are looking for is angle A.

For angle A, BC is the opposite leg. AB is the hypotenuse.

The trig ratio that relates the opposite leg to the hypotenuse is the sine.

\( \sin A = \dfrac{opp}{hyp} \)

\( \sin A = \dfrac{1.12~km}{5.4~km} \)

\( \sin A = 0.2074 \)

\( A = \sin^{-1} 0.2074 \)

\( A = 12.0^\circ \)

Answer: 12.0 degrees

The series is divergent.

To determine the convergence or divergence of the series\([\infty] 3 (2n 5)3 n = 1\) using the integral test, we need to evaluate the following integral:

∫\([\infty]\)1 3 (2x 5)3 dx

Let's calculate the integral:

∫\([\infty]\) 1 3 (2x 5)3 dx = ∫\([\infty]\) 1 24x3 dx

Integrating with respect to x:

= (24/4)x4 + C

= 6x4 + C

To evaluate this integral from 1 to infinity, we substitute the limits:

lim[x→∞] 6x4 - 6(1)4 = lim[x→∞] 6x4 - 6 = ∞

The integral diverges as it approaches infinity. Therefore, by the integral test, the series\([\infty] 3 (2n 5)3 n = 1\) is also divergent.

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Therefore, the intersection of the arcs that Victor drew must be the midpoint of segment XY.

the midpoint is the point that is exactly halfway between two other points. It is the point that divides the line segment into two equal halves.

The midpoint of a line segment can be found by taking the average of the x-coordinates and the y-coordinates of the two endpoints of the segment. For example, if the endpoints of a line segment are (x1, y1) and (x2, y2), then the midpoint of the segment is\(((x_1 + x_2)/2,(y_1+y_2)/2).\)

by the question.

If Victor drew an arc centered at X and then drew an arc of the same radius centered at Y, the intersection of these arcs will be equidistant from X and Y. This is because the points on the arcs are all a fixed distance away from their respective centers.

Since Victor is drawing a perpendicular segment to XY, the intersection of the arcs he drew will be the midpoint of XY. This is because the perpendicular segment will divide XY into two equal segments, and the intersection of the arcs is equidistant from X and Y.

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We will take an example of a rectangle with a scale factor of enlargement by 2.

For example, consider a rectangle with dimensions of 6 cm and 3 cm.

If we increase the scale factor for the initial rectangle by 2, both sides of the rectangle will be doubled. By raising the scale factor, we mean multiplying the present rectangle measurement by the supplied scale factor. We have multiplied the original rectangle measurement by 2 here.

The rectangle's length was originally 6 cm and its width was 3 cm.

After multiplying by two, the length is 12 cm and the width is 6 cm.

Thus, we took an example of a rectangle with a scale factor of enlargement by 2. We consider this for a better understanding.

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This statement makes sense. When randomly selecting a day of the week, there are seven possible outcomes, each containing the letter y (Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday).

Therefore, the probability of selecting a day containing the letter y is 1. It is important to note that the statement does not imply that the probability of selecting any specific day of the week is 1, only that the probability of selecting a day containing the letter y is 1.
When randomly selecting a day of the week, it is not certain that one will select a day containing the letter "y". There are 7 days in a week, and only 3 of them contain the letter "y" (Monday, Tuesday, and Sunday). To find the probability of selecting a day with the letter "y" (P(y)), divide the number of days containing "y" (3) by the total number of days in a week (7). So, P(y) = 3/7, which is not equal to 1. The statement would only make sense if all the days contained the letter "y".

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The set of all triples of real numbers with the standard vector addition but with scalar multiplication defined by k(x, y, z) = (k²x, k²y, k²

What are the real numbers?

Real numbers are a set of numbers that includes all the rational and irrational numbers. The set of real numbers is denoted by the symbol R.

We need to check if the set of all triples of real numbers with the standard vector addition, denoted by (V, +), and scalar multiplication defined by k(x, y, z) = (k²x, k²y, k²z), denoted by (V, ·), is a vector space.

First, we need to check the vector space axioms:

Closure under addition: For any vectors u = (u1, u2, u3) and v = (v1, v2, v3) in V, their sum u + v = (u1 + v1, u2+v2, u3+v3) is also in V. This is true since the standard vector addition is used.

Commutativity of addition: For any vectors u, v in V, u + v = v + u. This is true since the standard vector addition is commutative.

Associativity of addition: For any vectors u, v, w in V, u + (v + w) = (u + v) + w. This is true since the standard vector addition is associative.

Identity element of addition: There exists a vector 0 in V, called the zero vector, such that for any vector u in V, u + 0 = u. The zero vector is (0, 0, 0), and this axiom holds.

Inverse elements of addition: For any vector u in V, there exists a vector -u in V, called the additive inverse of u, such that u + (-u) = 0. This is true since the standard vector addition is used.

Closure under scalar multiplication: For any vector u in V and any scalar k, k · u = (k²u1, k²u2, k²u3) is also in V. This is true since scalar multiplication is defined as k(x, y, z) = (k²x, k²y, k²z).

Distributivity of scalar multiplication over vector addition: For any vectors u, v in V and any scalar k, k · (u + v) = k · u + k · v. This is true since scalar multiplication is defined using the standard scalar multiplication of the real numbers.

Distributivity of scalar multiplication over scalar addition: For any vector u in V and any scalars k, l, (k + l) · u = k · u + l · u.

This is true since scalar multiplication is defined using the standard scalar multiplication of the real numbers.

Associativity of scalar multiplication: For any vector u in V and any scalars k, l, (kl) · u = k · (l · u).

This is true since scalar multiplication is defined using the standard scalar multiplication of the real numbers.

The identity element of scalar multiplication:

For any vector u in V, 1 · u = u, where 1 is the multiplicative identity of the real numbers.

This is not true in this case, since 1 · (x, y, z) = (x, y, z), whereas the scalar multiplication defined in this problem is k(x, y, z) = (k²x, k²y, k²z).

Thus, the set of all triples of real numbers with the given operations is not a vector space, since it violates the identity element of scalar multiplication axiom.

Therefore, the set of all triples of real numbers with the standard vector addition but with scalar multiplication defined by k(x, y, z) = (k²x, k²y, k²).

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The thickness of the non-reflective coating layer is 9.62 x 10¯⁸ m or 96.2 nm.

From the question we know that :

n = 1.30

λ = 500nm = 5 x 10¯⁷m

The non-reflective coating system is applied on glass and the refractive index of that system should be  nair < ncoating < nglass. The light travels across the air and is refracted by coating film and then refracted again by the glass. For preventing the light got reflected by glass, the thickness of the layer should obey this equation :

2nt = λ/2

t is the thickness of the layer, λ is the wavelength and n is the refractive index of the film.

By substituting the following equation we get

2nt = λ/2

t = 1/4 . ( λ / n )

t = 1/4 . ( 5 x 10¯⁷ / 1.3)

t = 9.62 x 10¯⁸ m

Hence, the thickness of the non-reflective coating layer is 9.62 x 10¯⁸ m or 96.2 nm.

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When describing bell-shaped distributions statistically, the standard deviation is utilised along with the mean.

What does the mean actually measure?

While the standard deviation gauges the distribution's spread, the mean gauges the distribution's centre.

What is the purpose of standard deviation?

For the aim of quantifying dispersion, or the variation that takes place in the values of a data set that is taken into consideration, the standard deviation is used. The data points are said to be close to the mean when the standard deviation number is reduced. The opposite will occur when it is higher. In this way, it gauges how widely apart data points are from the mean.

Anything's predicted value is sometimes referred to as a mean. It is the object that serves as the focal point for all data points. The standard deviation determines how widely apart all the data points are from the mean, whereas the mean is the centre of the distribution.

What is the name of standard deviation?

Because it is the square root of the means of the squared errors from the arithmetic average, standard deviation is often referred to as root-mean square deviation. Standard deviation is a word used in economics to indicate how risky an investment is.

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Answer: p is greater than or equal to 8

Step-by-step explanation:

To isolate the variable (p) you divide both sides of the equation by 6 to get p by itself and the answer comes out clean because 48 is a multiple of 6.

Answer:

Divide both sides by the same factor

6p > 48

6p > 48

---     ---

6  >   6

result

p > 8

Using the given natural abundances of titanium-46, titanium-47, and titanium-48, we find that the average atomic mass of titanium on this planet is approximately 46.4 amu.

To calculate the average atomic mass of titanium on another planet, we need to consider the natural abundances of its isotopes. The average atomic mass is calculated by multiplying the mass of each isotope by its relative abundance and summing up these values.

Let's assume that the three isotopes of titanium on this planet are denoted as titanium-46, titanium-47, and titanium-48. The natural abundances of these isotopes are given as follows:

Isotope Natural Abundance

Titanium-46 70%

Titanium-47 20%

Titanium-48 10%

To calculate the average atomic mass, we multiply the mass of each isotope by its relative abundance and sum up these values. The atomic masses of titanium-46, titanium-47, and titanium-48 are approximately 46.0 amu, 47.0 amu, and 48.0 amu, respectively.

Average Atomic Mass of Titanium:

(46.0amu×70%)+(47.0amu×20%)+(48.0amu×10%)

=(32.2amu)+(9.4amu)+(4.8amu)

=46.4amu

Therefore, the average atomic mass of titanium on this planet is approximately 46.4 atomic mass units (amu).

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Answer:

31.4

Step-by-step explanation:

Answer:

523.33 cubic inches

Step-by-step explanation: