How many 4-letter combinations containing 3 consonants and 1 vowel can be made from this set if all the letters in a combination must be unique? {R, E, L, O, A, D} A. 30 B. 48 C. 72 D. 90

Answer:

achievements

Step-by-step explanation:

Answer:

Solution,

<4= X+30

<2= 2x+15

Now,

[tex]x + 30 = 2x + 15[/tex]

( being corresponding angles)

[tex] x - 2x = 15 - 30 \\ or \: - x = - 15 \\ x = 15[/tex]

Replacing value,

[tex] < 4 = x + 30 \\ \: \: \: \: \: = 15 + 30 \\ \: \: \: \: \: = 45[/tex]

The measure of <4 is 45°

Please see the attached picture.

There,

<a is an exterior and <d is an interior angle lying to the same side of transversal and they are not adjacent to each other. They are called corresponding angles. B and D are another pairs of corresponding angles.A pair of corresponding angle made by a transversal with parallel lines is always equal.

Hope this helps...

Good luck on your assignment...

Answer:

A. 13.

Step-by-step explanation:

g(x) = 4x + 1

g(3) = 4 * 3 + 1 = 12 + 1 = 13

A. 13 is your answer.

Hope this helps!

Answer:

13

Step-by-step explanation:

g(x) = 4x + 1

Let x=3

g(3) = 4*3+1

      = 12+1

    = 13

Answer:

False

Step-by-step explanation:

rise is the vertical change between any two points on a line.

Answer:

172

Step-by-step explanation:

just subtract 227 - 55 and get 172

Answer:

a = 138

Step-by-step explanation:

Notice that from the figure, we can see that ∠MOQ and ∠PON are vertical angles, which means that by definition, they're congruent in measure.

∠MOQ = ∠MOR + ∠ROQ = 90 + 48 = 138°

So, this means that ∠PON is also equal to 138, which means a = 138.

Thus, the answer is a = 138.

~ an aesthetics lover

Answer:

120.7

Step-by-step explanation:

The formula for finding the area of a regular octagon is: A = 2(1+[tex]\sqrt{2}[/tex])[tex]a^{2}[/tex].

Using the formula I got 120.7(rounded).

The area of the regular octagon with a side length of 5 cm is approximately 120.7cm².

We have,

To find the area of a regular octagon with a side length of 5 cm, you can use the following formula:

Area = 2 * (1 + √2) * (Side Length)²

Plugging in the values:

Area = 2 * (1 + √2) * (5 cm)² ≈ 120.7 cm²

Therefore,

The area of the regular octagon with a side length of 5 cm is approximately 120.7cm².

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Answer:

16 unidades preparan simultáneamente 1200 empanadas por día.

Step-by-step explanation:

Si cada fuente tiene una capacidad de 75 empanadas por horneada y que la mayor cantidad posible ocurre cuando el volumen de producción se cocina simultáneamente, entonces el total de fuentes es la cantidad total de producción dividida por la capacidad de empanadas por fuente. Es decir:

[tex]x = \frac{1200\,emp}{75\,\frac{emp}{und} }[/tex]

[tex]x = 16\,unidades[/tex]

16 unidades preparan simultáneamente 1200 empanadas por día.

Answer:

The result is 150 + 1.5d

Step-by-step explanation:

We want to translate the wordings into algebraic expression.

Firstly, we increase 120 by d%

d% = d/100

So increasing 120 by d % means;

120 + (d/100 * 120)

= 120 + 1.2d

Then increase this by 25%

= (120 + 1.2d) + 25/100(120 + 1.2d)

= 120 + 1.2d + (120+1.2d)/4

= 120 + 1.2d + 30 + 0.3d

= 120 + 30 + 1.2d + 0.3d

= 150 + 1.5d

Answer:

No.

Step-by-step explanation:

Order of Operations using BPEMDAS:

14 + 18/2(18)

14 + 9(18)

14 + 162

176

Answer:

240

Step-by-step explanation:

Inscribed Angle = 1/2 Intercepted Arc

60 = 1/2 XZ

Multiply each side by 2

120 = XZ

But we want XYZ

XZ + XYZ = 360

120 + XYZ = 360

XYZ = 360 -120

XYZ = 240

Answer:

Option B.

Step-by-step explanation:

Scale factor of the image = [tex]\frac{\text{One side of the triangle FED}}{\text{Corresponding side of the triangleABC}}[/tex]

                                          = [tex]\frac{\text{DF}}{\text{AC}}[/tex]

                                          = [tex]\frac{3}{6}[/tex]

                                          = [tex]\frac{1}{2}[/tex]

Coordinates of point C → (-2, 2)

Coordinates of the corresponding point C' after dilation with a scale factor [tex]\frac{1}{2}[/tex],

C(-2, 2) → C'(-1, 1)

Coordinates of point C' after reflection across y-axis,

C'(-1, 1) → C"(1, 1)

Followed by the translation of 2 units downwards,

C"(1, 1) → D[1, (1 - 2)]

          → D(1, -1)

From the graph we get the same coordinates of point D as (1, -1).

Therefore, ΔABC was dilated by a scale factor of [tex]\frac{1}{2}[/tex], reflected across the y-axis and moved through the translation of 2 units downwards.

Answer:

Hello!

~~~~~~~~~~~~~~~~~

Pollution needs to be dramatically reduced because it is destroying the environment we live in, contaminating our food and water, causing diseases and cancers in humans and wildlife, and destroying the air we breathe and the atmosphere that protects us from harmful ultra-violet radiation.

Step-by-step explanation: This the wrong subject but here is the answer.

Hope this helped you! Brainliest would be nice!

Answer:

Answer:

Step-by-step explanation:

Due to pollution many diseases can occur to u...... So we should stop using fuel in vehicles and instead use compressed natural gas (CNG)..... And before sewage water is released into oceans hey should be treated with chemicals...... That's all...

Hope this answer helps.....

Answer:

First and last

Step-by-step explanation:

The first one is a parabola wich is function graph

The last one is straight line

the second isn't a function since some numbers give many values

the thirs is a cercle

Answer:

Average is less than 65, therefore, shop did not meet the target.

Step-by-step explanation:

The time series graph gives some information about the number of umbrellas sold in a shop in the first six months of 2015.

From the given graph it is clear that the number of umbrellas sold in Jan, Feb, Mar, Apr, May, June are 54, 84, 72, 94, 52, 26 respectively.

Average sales is

[tex]Average=\dfrac{\text{Sum of number of umbrellas sold in 6 months}}{6}[/tex]

[tex]Average=\dfrac{54+84+72+94+52+26}{6}[/tex]

[tex]Average=\dfrac{382}{6}[/tex]

[tex]Average=63.67<65[/tex]

Since, average is less than 65, therefore, shop did not meet the target.

From the time-series, it is found that since the mean is below 65, the shop did not meet the target.

The mean of data-set is the sum of all observations divided by the number of observations.

From the time-series, there are 6 observations: 55, 85, 72, 90, 52, 25.

Hence, the mean is:

[tex]M - \frac{55 + 85 + 72 + 90 + 52 + 25}{6} = 63.2[/tex]

Since the mean is below 65, the shop did not meet the target.

A similar problem is given at https://brainly.com/question/24696690

Answer:

A

Step-by-step explanation:

The perimeter is more since the shape gained many new sides but the area is less because the rectangle lost a little square

Answer:

Option A

Step-by-step explanation:

=> The perimeter is more because there are more sides in figure 2 than in figure 1 and they are more in length too.

=> The area is less since Figure 2 is overlapping which decreases its area than the area of Figure 1 where nothing overlaps.

Answer:

Probability that the two socks picked by Natalie are of the same colours = (17/32) = 0.53125

Step-by-step explanation:

Complete Question

Natalie has 8 socks in a drawer.

5 of the socks are black.

3 of the socks are white.

Natalie takes out a sock at random, writes down its colour and puts it back into

the drawer. Then Natalie takes out a second sock, at random, and writes down its colour.

Work out the probability that the two socks are of the same colour.​

Solution

This is a probability that involves replacement.

Probability of an event is given as the number of elements in the event divided by the total number of elements in the sample space.

If the event that a black socks is picked = P(B)

Then, the event that a white socks is picked = P(W)

P(B) = n(B) ÷ n(S)

n(B) = 5

n(S) = 8

P(B) = (5/8)

P(W) = n(W) ÷ n(S) = (3/8)

Probability that the two socks picked by Natalie are of the same colours = (Probability that the two socks picked are black) + (Probability that the two socks picked by Natalie are white)

Probability that the two socks picked are black = (5/8) × (5/8) (since the socks are picked and replaced, the probability stays the same)

= (25/64)

Probability that the two socks picked by Natalie are white = (3/8) × (3/8) = (9/64)

Probability that the two socks picked by Natalie are of the same colours

= (25/64) + (9/64)

= (34/64)

= (17/32) = 0.53125

Hope this Helps!!!

Answer:

n = 25.

Step-by-step explanation:

-1/5n + 7 = 2

-1/5n = -5

1/5n = 5

5(1/5)n = 5 * 5

n = 25

Check your work!

(-1/5) * 25 + 7 = 2

-25/5 + 7 = 2

-5 + 7 = 2

2 = 2

Hope this helps!

Answer:

n=25

Step-by-step explanation:

To find the value of n that makes the equation true, we must solve for n.

To solve for n, we must get n by itself on one side of the equation.

-1/5n+7=2

7 is being added to -1/5n. The inverse of addition is subtraction. Subtract 7 from both sides.

-1/5n+7-7= 2-7

-1/5n= 2-7

-1/5n= -5

n is being multiplied by -1/5. The inverse of multiplication is division. Divide both sides by -1/5, or multiply both sides by the reciprocal of the fraction.

-1/5n /-1/5 = -5/ -1/5

To find the reciprocal, flip the top number/numerator and bottom number/denominator.

-1/5--flip--> -5/1

-1/5n * -5/1= -5* -5/1

n= -5*-5

n= 25

Let's check our solution. Plug 25 in for n.

-1/5n+7=2

-1/5 (25) +7=2

-5 +7 =2

2=2

Answer:

Impossible.

Step-by-step explanation:

The first and 2nd have to add up to more than the 3rd side.

According to the first triangle inequality theorem, the lengths of any two sides of a triangle must add up to more than the length of the third side. This means that you cannot draw a triangle that has side lengths 5, 6 and 11, for instance, since 5 + 6 is = 11

Answer:

Impossible

Step-by-step explanation:

It is impossible because the smaller 2 numbers need to add up to a larger number than 11 to make a triangle, because how would there be room for angles since an 11 inch angle is shorter than an 11 inch line. The angle would not be able to meet up with both ends of the 11 inch line.

Answer:

LSA = 592cm^2.

Step-by-step explanation:

Well LSA is the SA but without the base so the blue square does not count.

So we have to find the area of the triangle which is b*h/2.

So 18.5*16 / 2 is 148.

And since there is 4 triangles with the same dimensions we do 148*4, 592cm^2.

Hey there!

First; let us understand that there are 360° in a full circle.

This is what we are representing.

We need to find a way to multiply to get the answer.

36% of 360 = 0.36, therefore we need to make 0.36 x 360

Multiply 0.36 x 360

Therefore, we get 129.6°

129.6°

130°

Answer: 129.6

Step-by-step explanation:

So, there are 360 in one full circle.

We will multiply to get a product.

36% of 360 = 0.36, Make 0.36 x 360

0.36 x 360 = 129.6

Answer:

Explained below.

Step-by-step explanation:

The data provided is as follows:

S = {31.5, 36.0, 37.8, 38.5, 40.1, 42.2, 34.2, 36.2, 38.1, 38.7, 40.6, 42.5, 34.7. 37.3, 38.2, 39.5, 41.4, 43.4, 35.6, 37.6, 38.4, 39.6, 41.7, 49.3}

Compute the mean and standard deviation as follows:

[tex]\mu=\frac{1}{n}\sum X=\frac{1}{24}\times [31.5+36.0+37.8+...+49.3]=38.88\\\\\sigma=\sqrt{\frac{1}{n-1}\sum (X-\mu)^{2}}=\sqrt{\frac{1}{24-1}\times 299.639584}=3.61[/tex]

(a)

Compute the​ z-score corresponding to the individual who obtained 32.3 miles per gallon as follows:

[tex]z=\frac{X-\mu}{\sigma}[/tex]

  [tex]=\frac{32.3-38.88}{3.61}\\\\=-1.823[/tex]

Thus, the z-score corresponding to the individual who obtained 32.3 miles per gallon is -1.823.

(b)

The data set arranged in ascending order is:

S = {31.5 , 34.2 , 34.7 , 35.6 , 36 .0, 36.2 , 37.3 , 37.6 , 37.8 , 38.1 , 38.2 , 38.4 , 38.5 , 38.7 , 39.5 , 39.6 , 40.1 , 40.6 , 41.4 , 41.7 , 42.2 , 42.5 , 43.4 , 49.3}

The set consists of 24 values.

The first and third quartile are:

[tex]Q_{1}=[\frac{n+1}{4}]^{th}\ obs.=[\frac{24+1}{4}]^{th}\ obs.=12.5^{th}\ obs.=\frac{36.2+ 37.3}{2}=36.75\\\\Q_{3}=[\frac{3(n+1)}{4}]^{th}\ obs.=[\frac{3(24+1)}{4}]^{th}\ obs.=18.75^{th}\ obs.=\frac{40.6+41.4}{2}=41[/tex]

Thus, the value of Q₁ is 36.75 and Q₃ = 41.

(c)

Compute the inter-quartile​ range as follows:

[tex]IQR=Q_{3}-Q_{1}=41-36.75=4.25[/tex]

The inter-quartile range is 4.25.

The inter-quartile range is the amount of data that is contained within the middle 50% of a set of observations, when arranged in order. It is the distance between the first and third quartile.

(d)

Compute the values of lower and upper fences as follows:

[tex]\text{Lower fence}=Q_{1}-1.5\times IQR=36.75-(1.5\times 4.25)=30.375\approx 30.38\\\\\text{Upper fence}=Q_{3}+1.5\times IQR=41+(1.5\times 4.25)=47.375\approx 47.38[/tex]

Any values that are less than the lower fence or more than the upper fence are considered as outlier.

Consider the arranged data set.

Only one value is more than the upper fence, 47.38, i.e. 49.3.

So, yes there is one outlier, i.e. 49.3.

Answer:

40

Step-by-step explanation:

Set up a ratio.  Solve for x.

[tex]\frac{3}{5}=\frac{24}{x} \\3x = 120\\x=40[/tex]

Reeta is 40 years old.

Answer:

The answer to this would most likely be the first option: A. 1,771

Step-by-step explanation:

I've seen the question before.

The volume of the right triangular prism is 1771  cubic meters

The volume of a right triangular prism can be estimated by using the formula:

[tex]\mathbf{V = \dfrac{1}{2} \times b \times h \times l}[/tex]

where;

[tex]\mathbf{V = \dfrac{1}{2} \times 14 \times 23 \times 11}[/tex]

V = 1771 m³

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Answer:

36PI

113.04

Step-by-step explanation:

4/3*PI*R^3=V

4/3*PI*27=V

36*PI=V

113.04

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Answer:

113.10 (to the nearest hundredth)

Step-by-step explanation:

just google volume of a sphere

A fourth-degree polynomial in standard form is :

       In this example it would give:

      −6[tex]x^{4}[/tex]+3[tex]x^{2}[/tex]+4x +2

The closure property as it relates to polynomials are :

       (2x2 + 3x + 4) + (x2 - 5x - 3)

        3x2 - 2x + 1.

Therefore, the addition and subtraction of polynomials is closed.

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Answer:

x = 4, y = 2√21, z = 10

Step-by-step explanation:

Since all sides of a rhombus are congruent, z = SR = 10. Since the diagonals of a rhombus bisect each other, x = PO = 4. Using Pythagorean Theorem (look at ΔPSO, we know that PS = 10 and PO = 4), y = 2√21.

Answer:

adult = £7 and child = £2

Step-by-step explanation:

let a represent adult ticket and c child ticket, then

2a + 3c = 20 → (1)

a + 4c = 15 → (2)

Multiply (2) by - 2 and add to (1) to eliminate a

- 2a - 8c = - 30 → (3)

Add (1) and (3) term by term

- 5c = - 10 ( divide both sides by - 5 )

c = 2

Substitute c = 2 into either of the 2 equations and solve for a

Substituting into (1)

2a + 3(2) = 20

2a + 6 = 20 ( subtract 6 from both sides )

2a = 14 ( divide both sides by 2 )

a = 7

Cost of adult ticket is £7 and child ticket is £2

Answer:

4y-8x=12

Step-by-step explanation:

because in a infinitely many solutions then it should proportional to the first equation

Answer:

4x-2y=6

Step-by-step explanation:

Answer: A

Step-by-step explanation:

Since she invested $400 in the beginning if the 1st year and we are asked to find the balance at the beginning of the third year, she earns interest only for the first two years. So, the formula will be

Amount = 400 (1 + 0.05) ^3-1

To find the balance in Josie's account at the beginning of the the third year we have to use A(3)=[tex]400*(1+0.05)^{3-1}[/tex]

It is the interest calculated on the initial principal amount and the accumulated interest. The formula to calculate the sum after compound interest is

Sum= [tex]P(1+r/m)^{tm}[/tex] where P=principal, r= rate of interest, m= number of times compounded in a year, t=time

At the beginning of year 1, Josie invests $400 at an annual compound interest at the rate of 5%,then the amount at the beginning of year 3 is calculated as:

The amount in beginning of 1 year=$400

The amount at the end of the year 1=400+400*0.05=400(1+0.05)

The amount at the end of year 2=400(1+0.05)+400(1+0.05)*0.05

=[tex]400(1+0.05)^{2}[/tex]

=[tex]400(1+0.05)^{3-1}[/tex]

Hence the option A is correct which is to be used to calculate the amount in Josie's account at the beginning of year 3.

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