really need help with my aleks

Answer:

Step-by-step explanation:

Q1

Q2

Q3

Q4

Q5

The total number of different committees that can be made is:

C = 4,536

If we have a set of N elements, the total number of different subsets of K elements that can be made out of these N is:

[tex]C(N, K) = \frac{N!}{(N - K)!*K!}[/tex]

So, the 2 teachers (out of 9) can be selected in:

[tex]C(9, 2) = \frac{9!}{7!*2!} = \frac{9*8}{2} = 36[/tex]

36 different ways.

The 4 students (out of 9) can be selected in:

[tex]C(9, 4) = \frac{9!}{5!*4!} = \frac{9*8*7*6}{4*3*2} = 126[/tex]

126 different ways.

The committee is formed by these two groups, so the total number of different committees that can be made is:

C = 36*126 = 4,536

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Answer:

50%

Step-by-step explanation:

half of the numbers on dice are even

Answer:

14762 ft³

Step-by-step explanation:

Volume of top prism

Volume of bottom prism

Total volume = Volume (top) + Volume (bottom)

The cylinder holds 3 times more water than the cone

volume of the cylinder is (pi) (r^2) (height), volume of the cone is (1/3)(pi)(r^2)(height)

Cone is 1/3 of cylinder volume so cylinder holds 3 times the amount

Cylinder holds 942 cu units, cone holds 314,

Answer cylinder holds 628 cu units more than cone

cyl= 3.14 x 5^2 x 12=942

Cone= 1/3 x 3.14 x 5^2 x 12 = 314

Answer: c= [tex]x^{2}[/tex] +4x-10

Step-by-step explanation:

Step 1: Flip the equation.

C+1= [tex]x^{2}[/tex]+4x-9

Step 2: Add -1 to both sides.

c+1+-1=[tex]x^{2}[/tex]+4x-9+-1

c=[tex]x^{2}[/tex]+4x-10

Answer:

The relation is reflexive as

(1,1),(2,2),(3,3)∈R

(2,1)∈R will not imply (1,2)∈R,

hence R is not symmetric

(2,1),(1,3)∈R doesn't imply (2,3)∈R, hence R is not transitive

Step-by-step explanation:

hope this helps if not let me know have a blessed day

Answer:

[tex]\sf \sqrt{29}[/tex]

Step-by-step explanation:

To find the distance between points H(-2, -3) and F(-4, 2), use the distance formula.

[tex]\boxed{\begin{minipage}{7.4 cm}\underline{Distance Formula}\\\\$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$\\\\\\where:\\ \phantom{ww}$\bullet$ $d$ is the distance between two points. \\\phantom{ww}$\bullet$ $(x_1,y_1)$ and $(x_2,y_2)$ are the two points.\\\end{minipage}}[/tex]

Substitute the points into the distance formula and solve for d:

[tex]\begin{aligned}d&=\sqrt{(x_F-x_H)^2+(y_F-y_H)^2}\\\\&=\sqrt{(-4-(-2))^2+(2-(-3))^2}\\\\&=\sqrt{(-4+2)^2+(2+3)^2}\\\\&=\sqrt{(-2)^2+(5)^2}\\\\&=\sqrt{4+25}\\\\&=\sqrt{29}\end{aligned}[/tex]

Therefore, the exact distance between points H and F is [tex]\sf \sqrt{29}[/tex].

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Answer:

50 J

Step-by-step explanation:

According to energy conservative law energy can not be destroyed. So as the potential energy has been decreased to 50 J, the decreased amount has become kinetic energy.

100 - 50 = 50

Answer:3/4

Step-by-step explanation:there are 30+10=40 marble

you choose 30 green.    30/40=3/4

The reasoning used here is coding and decoding.

Coding is a portion of the logical reasoning element that is used to encrypt words, numbers, or codes utilizing specified rules and regulations. The process of decoding patterns into their original forms from supplied forms is known as decoding.

We have an expression:-

a = b and c = d, then a − c = b − d

Therefore the reasoning used here is coding and decoding.

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Answer:

the temperature in London would be -1 degrees as 5-6=-1

Answer:

x intercepts = (9,0), (-7,0)

Step-by-step explanation:

First lets expand the factored equation.

f(x) = 3(x + 7) (x - 9)

.... = 3x + 21 (x - 9)

....= 3x^2 - 27x - 21x - 189

....= 3x^2 - 6x - 189

lets make the quation equal to 0 and use the Factorization method to solve for x.

3x^2 - 6x - 189= 0

3(x^2 - 2x - 63) = 0

3(x - 9) (x + 7) = 0

x - 9 = 9 and x + 7 = -7

x = 9,

x = -7

The linear inequality is represented by the graph will be, y > 3x + 2. Option B is correct.

Linear inequalities involve at least one linear algebraic expression. A polynomial of degree 1 is compared to another algebraic expression of degree less than or equal to 1.

The line is passes through the following points;

(x₁,y₁) to (x₂,y₂)

(-3,-7) to (0,2)

The equation is found as;

[tex]\rm y-y_1 = \frac{y_2-y_1}{x_2-x_1 } (x-x_1)\\\\\ \rm y-(-7) = \frac{(2-(-7))}{(0-(-3))} (x-(-3))\\\\ y+7 =\frac{9}{3} (x+3)\\\\ y+7 = 3x+9 \\\\ y=3x+2[/tex]

The graph because the shading is above the line and does not include the line.

The linear inequality is represented by the graph will be, y > 3x + 2

Hence, option B is correct.

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C. 68°

292° lies on 4th quadrant.

1st quadrant: angle

2nd quadrant: 180° - angle

3rd quadrant: angle - 180°

4th quadrant: 360° - angle

So, reference angle: 360° - 292° = 68°

Answer:

a) 6.3; b) (2;1).

Step-by-step explanation:

[tex]a) \ |PQ|=\sqrt{(X_P-X_Q)^2+(Y_P-Y_Q)^2}=\sqrt{4+36}=\sqrt{40} =6.3;[/tex]

[tex]b) \ (\frac{X_P+X_Q}{2};\frac{Y_P+Y_Q}{2}); \ = > \ (2;1).[/tex]

Answer:

a ≤ 20

Step-by-step explanation:

a = number of lower vases, in $

3a = cost of a flower vases, in $

10 + 3a = = cost of $10 worth of flowers plus a vases

10 + 3a ≤ 70 says that the cost of Christine's flowers and vases purchase

must be less than, or at most equal to $70.

Subtracting  10 rom both sides of the inequalour

gives us an equivalent inequality

3a ≤ 70 - 10 <--->  3a ≤ 60

Multiplying (or dividing) both sides by a positive number

gives us an equivalent inequality, so

a ≤ 60/3  <---> a ≤ 20

The arithmetic sequence has a common difference, and a first term and the 17th term in the arithmetic sequence is -21

The given parameters are:

The nth term of an arithmetic progression is:

Tn = a + (n - 1)d

So, we have:

T17 = a + 16d

Substitute the given values

T17 = 11 - 16 * 2

Evaluate

T17 = -21

Hence, the 17th term in the arithmetic sequence is -21

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The shape of the distribution described the Left skewed.

A left skewed histogram is a histogram that attains a peak (which is the mode) towards the right side of the graph and has a “tail” towards the left side.

A histogram in which most of the data falls to the left of the graph's peak is known as a left-skewed histogram.

A left-skewed histogram is a type of histogram that is not symmetrical and in which the peak of the graph lies to the right of the middle value or the median.

Hence, considering the above definition the given histogram data falls on right side.

So, it is left skewed graph.

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Answer:

28815.3333333

Step-by-step explanation:

The area of the triangle is 95.53 square inches if the sides of a triangle measure 12 inches, 17 inches, and 24 inches.

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°.

We have:

The sides of a triangle measure 12 inches, 17 inches, and 24 inches.

From the formula:

[tex]\rm Area = \sqrt{s(s-a)(s-b)(s-c)}[/tex]

[tex]\rm s = \dfrac{a+b+c}{2}[/tex]

a = 12, b = 17, c = 24 inches

[tex]\rm s = \dfrac{12+17+24}{2} = 26.5[/tex]

Plug all the values in the formula we get:

Area = 95.529 ≈ 95.53 square inches

Thus, the area of the triangle is 95.53 square inches if the sides of a triangle measure 12 inches, 17 inches, and 24 inches.

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Step-by-step explanation:

I just answered this.

the key is that ALL current labels are wrong. not "could be wrong", but "definitely wrong".

you need to pick an apple from the originally "red/green" labeled bag.

since that label is wrong, it must be one of the pure color bags.

so, that bag gets the label for the color that we picked.

now we look at the other 2 bags. they are both wrongly labeled, but there are only 2 options : the second color (which we did not use to label the first bag) and "red/green".

the bag with the color label we just assigned to our first bag must therefore get the second color label (if it were "red/green", it would mean that the third bag was actually correctly labeled, which was not the case), and the bag currently with the second color label is the actual "red/green" bag.

The measure of the length GF is 4.2 units and IH is 2.27 units. Then the measure of angle ∠ACB will be 24.35°.

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

The triangle ΔABC and triangle ΔGFC are similar triangles. Then we have

  GF / BA = CF / BC

GF / 5.62 = 8.88 / 12.42

          GF = 4.018

          GF ≅ 4.02

The triangle ΔABC and triangle ΔIHC are similar triangles. Then we have

  IH / BA = HC / BC

IH / 5.62 = 5.02 / 12.42

          IH = 2.271

          IH ≅ 2.27

Then the angle ∠ACB will be

∠ACB = tan⁻¹ (5.62 / 12.42)

∠ACB = tan⁻¹ 0.452

∠ACB = 24.35°

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Answer:

Choice A.

Step-by-step explanation:

y = 10/5 x

becAUSE  10/5 = 2

Answer:

A

Step-by-step explanation:

the equation of proportionality is

y = kx ← k is the constant of proportionality

A

y = [tex]\frac{10}{5}[/tex] x = 2x ← with k = 2

B

y = [tex]\frac{2}{2}[/tex] x = 1x ← with k = 1

C

y = [tex]\frac{2}{4}[/tex] x = [tex]\frac{1}{2}[/tex] x ← with k = [tex]\frac{1}{2}[/tex]

D

y = [tex]\frac{22}{2}[/tex] x = 11x ← with k = 11

Answer:

1/2 × 6 × 6

Step-by-step explanation:

the triangle takes up half of the square

the area of a square = side length²

side length = 6

so area of square = 6² = 6 × 6

because the triangle takes up half of the square

the area of the shaded triangle would = 1/2 × 6 × 6