After traveling by boat for 7 1⁄3 weeks, The Rohingya people had traveled 5⁄6 of the length of their trip to Malaysia. How long (in weeks) is the entire length of his trip?

Answers

Answer 1

Answer: 8 4/5 weeks

Step-by-step explanation:

Let the length of entire trip = 1

Length of trip already traveled = 5/6

Time taken to cover 5/6 length = 7 1/3 weeks

Then;

Length of trip left to cover = (1 - 5/6) = 1/6

Therefore, if (5/6) takes 22/3 weeks

(5/6) = 22/3

1/6 length of the trip = (22/3) ÷ 5

= (22 /3) × (1 / 5)

= 22/ 15 = 1 7/15 weeks

Therefore, length of entire trip ;

(1 / 6) * 6 --------> (22 / 15) × 6

Full length of trip = 132 / 15

Full length of trip = 8 12/15

= 8 4/5 weeks


Related Questions

A box with a volume of 16 $\text{cm}^3$ can hold 50 paperclips. How many paperclips could a box with a volume of 48 $\text{cm}^3$ hold?

Answers

Answer:

150 paperclips

Step-by-step explanation:

set up the equation as a fraction equaling a fraction i.e. volume 16/ 50 paperclips = volume 48/ x paperclips

cross multiply so you get 16x = 2400

solve for x by dividing 2400 by 16

you should get x = 150

A car is known to be 88% likely to pass inspection at a certain Motor Vehicle Agency inspection office. What is the probability that at least 90 cars pass inspection if a random sample of 100 cars is taken at this Motor Vehicle Agency inspection office? A. 0.4032 B. 0.6663 C. 0.3337 D. 0.88

Answers

Answer:

The correct option is;

C. 0.3337

Step-by-step explanation:

We note that for a binomial probability distribution, we have;

[tex]p(r\geq \gamma)=\sum_{\gamma = r}^{ n}\dbinom{n}{r}\cdot \left (p\right )^{\gamma }\cdot \left (1-p\right )^{n - \gamma}[/tex]

Which gives;

[tex]p(x \geq 90)=\sum_{r = 90}^{ 100}\dbinom{100}{90}\cdot \left (0.88\right )^{\gamma }\cdot \left (1-0.88\right )^{100 - \gamma}[/tex]

[tex]\dbinom{100}{90}\cdot \left (0.88\right )^{90 }\cdot \left (1-0.88\right )^{10} = 0.108033[/tex]

[tex]\dbinom{100}{91}\cdot \left (0.88\right )^{91 }\cdot \left (1-0.88\right )^{9} = 0.08706[/tex]

[tex]\dbinom{100}{92}\cdot \left (0.88\right )^{92 }\cdot \left (1-0.88\right )^{8} = 0.062456[/tex]

[tex]\dbinom{100}{93}\cdot \left (0.88\right )^{93 }\cdot \left (1-0.88\right )^{7} = 0.039399[/tex]

[tex]\dbinom{100}{94}\cdot \left (0.88\right )^{94 }\cdot \left (1-0.88\right )^{6} = 0.021516[/tex]

[tex]\dbinom{100}{95}\cdot \left (0.88\right )^{95 }\cdot \left (1-0.88\right )^{5} = 0.09965[/tex]

[tex]\dbinom{100}{96}\cdot \left (0.88\right )^{96 }\cdot \left (1-0.88\right )^{4} = 0.003806[/tex]

[tex]\dbinom{100}{97}\cdot \left (0.88\right )^{97 }\cdot \left (1-0.88\right )^{3} = 0.001151[/tex]

[tex]\dbinom{100}{98}\cdot \left (0.88\right )^{98 }\cdot \left (1-0.88\right )^{2} = 0.000258[/tex]

[tex]\dbinom{100}{99}\cdot \left (0.88\right )^{99 }\cdot \left (1-0.88\right ) = 0.0000383[/tex]

[tex]\dbinom{100}{100}\cdot \left (0.88\right )^{100 }\cdot \left (1-0.88\right )^{0} = 0.00000281[/tex]

P(r≥90)  is therefore 0.1083 + 0.08706 + 0.062456 + 0.039399 + 0.021516 +  0.09965 + 0.003806 + 0.001151 + 0.000258 + 0.0000383 + 0.00000281 = 0.333685 ≈ 0.3337.

In triangle ABC , m angle A=(3x)^ , m angle B=(3x+10)^ , and m angle C=(4x-30)^ Find m m angle C

Answers

Answer:

B

Step-by-step explanation:

Interior angles of a triangle = 180°

3x°+3x+10°+4x-30°=180°

10x°-20°=180°

10x°=180°+20°

10x°= 200°

10x°/10=200°/10

x°=20°

Hence, the angle is [tex]x=20[/tex] degree.

What is the angle?

An angle can be defined as the figure formed by two rays meeting at a common end point.

Here given that,

As we know that the sum of interior angles of a triangle is [tex]180[/tex] degree.

[tex]3x+3x+10+4x-30=180\\\\10x-20=180\\\\10x=180+20\\\\10x= 200\\\\\frac{10x}{10}=\frac{200}{10}\\\\x=20[/tex]

Hence, the angle is [tex]x=20[/tex] degree.

To know more about the angle

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Two students use different methods to solve this multiplication problem: 1/2 • -4 4/5 Read each of their methods below and then enter numbers to correctly complete their work.

Answers

Answer:

-2 2/5

Step-by-step explanation:

Barbara's method:

[tex]\frac{1}{2}*-4\frac{4}{5}=\frac{1}{2}*\frac{-24}{5}=\frac{-12}{5}=-2\frac{2}{5}\\[/tex]

Christopher's method:

[tex]\frac{1}{2}*-4\frac{4}{5}=\frac{1}{2}*(-4+\frac{-4}{5})=\frac{1}{2}*-4+\frac{1}{2}*\frac{-4}{5}=-2+\frac{-2}{5}=-2\frac{2}{5}\\[/tex]

C (SUMMER 2021) - 793033
KIN
Relations and Functions
Instruction Active
TRY IT Test Whether This Graph Is a Function
Drag the red vertical line to find the y-values:
Orange graph> when x 1, y =
Blue graph when x 1. y =
RETRY
1) Intro
web and Windows
a
A do

Answers

Answer:

Orange graph: -2

Blue graph: -2 or 2

Just did it on edge

A bakery was about to sell fresh baguettes, and people formed a line outside to wait. While waiting for the bread to bake, every space between two people in the line was filled by a new person who had joined the line. More time passed, and again each space between the people waiting was filled with a new person who joined the line. Finally, 85 fresh baguettes were brought out and one baguette was sold to each person. How many people were standing in the original line?

Answers

Answer:

The number of people standing in the original line is 22 people

Step-by-step explanation:

The information given are;

The number of baguettes that was shared by the people on the line = 85

The number of baguettes each person received = 1 each

Therefore;

The number of people that were finally on the line = 85

Let the number of people in the original line = X

Then each space between two people in X was filled by 1 new person of the first set of people who joined the line

Therefore;

The number of the first set of people who joined the line = The number of spaces between two count of people in X

Which gives;

The number of people who joined the line = X - 1

The new total number of people on the line = X + X - 1 = 2·X - 1

As time passed, a second set of people joined the line such that each space between the people waiting was filled with a new person (from the second set) who joined the line

Therefore, the number of people in the second set = Number of people waiting - 1

Which gives;

The number of people in the second set = 2·X - 1 - 1 = 2·X - 2

The total number of people on the line becomes 2·X - 1 + 2·X - 2 = 4·X - 3

The 85 baguettes is then able to go round (each) among the total number of people on the line

Therefore;

The total number of people on the line = The number of baguettes sheared

4·X - 3 = 85

4·X = 85 + 3 = 88

X = 88/4 = 22

Therefore;

The number of people standing in the original line = 22.

Please help answer! It’s due today!

Answers

For number 5, we know that the triangles are not similar. Therefore, their corresponding sides are not proportional. I believe you could prove this by diving Triangle PQR’s side lengths with their corresponding side lengths in Triangle STU. I’ll do it below:
Side PQ corresponds to side TS. 9/7 is roughly 1.29, which would make that its scale factor. (I’m dividing because when side lengths are proportional, there is a specific value, the scale factor, that you can multiply or divide by to find the unknown side length of a corresponding side). Side QR corresponds to side UT. 15/10 is 1.5, thus making that the scale factor between these two sides. Finally, we see that side PR corresponds to side US. 12/8 is 1.5, making the scale factor between those two sides 1.5. Although two pairs of corresponding sides have the same scale factor, the same cannot be said for the third pair of corresponding sides. In order for the triangles to be similar, the scale factor should remain constant between each corresponding side, therefore, the triangles are not similar.
For number 6, since you are only given the side lengths, you would not be able to use the AA (Angle-Angle Similarity Theorem), or SAS (Side-Angle-Side Similarity Theorem). The calculations are shown below:
PQ~TS: 9/6= 1.5
QR~UT: 15/10= 1.5
PR~US: 12/8= 1.5

The scale factor for each pair of corresponding sides is congruent, proving that the triangles are proportional, making them similar.

Answer:

need thiss

Step-by-step explanation:

Square
Move the active vertex to change the shape of the quadrilateral and
check all properties that apply.
Square
All sides congruent
Opposite sides congruent
All angles congruent
Opposite angles congruent
Diagonals congruent
OOOO
Diagonals bisect
Check
Answer shown above

Answers

Answer:

shown above

move active check

Arithmetic mean between 2 and 8

Answers

Answer:

5

Step-by-step explanation:

to find the mean you add the numbers together, and divide by the number of numbers you're using. So, we'd do 2+8, which is 10, and then 10/2, which is 5.

Answer:

5

ADD . NUMBERS TOGETHER

DIVIDE BY TWO

SO IN THIS CASE

8+2=10

10/2=5

Step-by-step explanation:

HOPE I HELPED!!!

CAN I GET BRAINLIEST ?(DESPERATELY  TRYING TO LEVEL UP)

           -ZYLYNN JADE

Show all work to solve 3x^2-5x-2=0

Answers

Answer:

The roots are {2, -1/3}

Step-by-step explanation:

The coefficients of this quadratic function are a = 3, b = -5 and c = -2.

Let's use the quadratic formula to find the roots of the given 3x^2-5x-2=0.

The discriminant is b^2 - 4(a)(c), or (-5)^2 - 4(3)(-2), or 25 + 24 = 49.

Thus, the roots are:

      -(-5)±√49        5 ± 7

x = ---------------- = ------------ = 2 and -1/3

          2(3)                  6

1) Split the second term in 3x²-5x-2 into two terms.

•Multiply the coefficient of the first term by the constant term.
3 x -2 = -6

•Ask: Which two numbers add up to -5 and multiply to -6?
1 and -6

•Split -5x as the sum of and –6x.
3x2 + x – 6x – 2

2) Factor out common terms in the first two terms, then in the last two terms.

x(3x+1)-2(3x+1)


3) factor out the common term 3x+1.

(3x+1)(x-2)

What is the probability of A given B.

Answers

Answer:

3/5

Step-by-step explanation:

There are 5 students who play soccer.

Of those 5, 3 students also play basketball.

p(A|B) = 3/5

The answer is 3/5 hope it helped

ABCD is a parallelogram​.
Given that,
DC = CE
prove that,
area of the ADE triangle is equal to the area of the parallelogram​.


need explanation

plzz help!!
will give the brainliest!!​

Answers

Answer:

Step-by-step explanation:

We khow that ABCD is a parallelogram so its area is the product of the base (DC) and the the height

Let H be the height of the paralellogram and A its area So A= DC*H

ADE is a triangle . Its area is the product of the height and the base(DE) over 2

We notice that the paralellogram and the triangle have both the same height Let S be the area of the triangle S= (DE*H)/2= DE/2 *H = DC *H

So the triangle and the parallelogram have the same area

Cecil is replacing lightbulbs in the office where he works. When he started, he had x boxes of lightbulbs with 2 bulbs in each box. After replacing 16 lightbulbs, he has at least 12 bulbs left. Which inequality represents the number of boxes of lightbulbs Cecil started with? How many boxes of lightbulbs is that?
The inequality represents the number of boxes of lightbulbs that Cecil started with.

Cecil had boxes of lightbulbs when he started.

Answers

Answer:

If we add the Replaced, the Left, that would be 28 LB, 14 boxes.

Answer:

at most or at least

Step-by-step explanation:

Which of the following represents a rotation of △LMN, which has vertices L(−7,7), M(9,9), and N(5,−5), about the origin by 90°?

Answers

Answer:

L'(-7, -7), M'(-9, 9), and N'(5, 5)

Step-by-step explanation:

Assuming you mean 90° counterclockwise, you would use the formula: A(x,y) becomes A'(-y,x)

so L'(-7, -7), M'(-9, 9), and N'(5, 5)

The question was incomplete. Please check below the full content.

Which of the following represents a rotation of ΔLMN. which has vertices L (-7,7), M (9,9), and N(5, -5) about the origin by 90°?            

a) L(-7, -7) M(-9. -9) N(5, 5)

b) L(-7. -7) M(-9. 9) N(5, 5)

c) L(-7, -7) M(-9, 9) N(5, -5)

d) L (7, -7) M(9, 9) N(-5, 5)      

The rotation of the vertices L (-7,7), M (9,9), and N(5, -5) are

L'(-7,-7), M'(-9,9) and N'(5,-5) respectively.

Rotation of a point :

The rotation of a point (x,y) about the origin by 90° is (-y,x).Given vertices of ΔLMN are  L(-7,7), M(9,9), and N(5, -5)

Let the rotations of L, M, and N are L', M', and N' respectively.

The rotation of a point L(-7,7) about the origin by 90° is (-7,-7).The rotation of a point L(9,9) about the origin by 90° is (-9,9).The rotation of a point L(5,-5) about the origin by 90° is (5,-5).

Hence  L'(-7,-7), M'(-9,9), and N'(5,-5) are the rotation of vertices

 L, M, and N of ΔLMN about the origin by 90°.

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Tammy is testing the cellphone service in a certain area for a cellphone company. The signal during the test can be modeled by sin t+3 where t is the time in seconds. Focusing on the domain 0 < t < 3 π/2, at what time is the signal the strongest?

Answers

Answer:

4.71

Step-by-step explanation:

3* pi = 9.42

9.42/2 = 4.71

Consider this population data set: 4, 6. 7. 11, 12, 18, 26, 23, 14, 31. 22, and 12. The values 11.31. 22. and 12 constitute a random sample drawn
from the data set.
The sample mean is more than the population mean by
A. 3.5
B. 15.5
C. 19
D. 110

Answers

Answer:

The answer is 3.5

Step-by-step explanation:

write all factors of 72


Answers

Answer:

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.

Add. Simplify (or reduce) your answer, if necessary 1/4 +2/7+1/2=

Answers

Hey there! :)

Answer:

29/28.

Step-by-step explanation:

Starting with:

[tex]\frac{1}{4} + \frac{2}{7} + \frac{1}{2} =[/tex]

Begin by finding a common denominator. A number that contains all of the denominators as a factor would be 28. Change each fraction to contain a denominator of 28:

[tex]\frac{7}{28} + \frac{8}{28} + \frac{14}{28} =[/tex]

Add the fractions:

[tex]\frac{7}{28} + \frac{8}{28} + \frac{14}{28} = \frac{29}{28}[/tex]

Therefore, the fractions sum up to 29/28.

Answer:

1/4 + 2/7 + 1/2

Find a number that 4,7, and 2 have in common

List the multiples o 4,7, and 2

4,8,12,15,20,24,28,32,36,40

7,14,21,28,35,42,49,56,63,70

2,4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36,38,40

4,7,and 2 all have 28 so 28 is the common denominator

1/4 = 1/4 x 7/7 = 7/28

you can multiply because 7/7 = 1 so you are just multiplying by 1

2/7 x 4/4 = 8/28

1/2 x 14/14= 14/28

7/28 + 8/28 + 14/28 = 29/28 or 1 1/28

Hope this helps

Step-by-step explanation:

Help!! WILL GIVE BRAINLIEST!!! What is the range of possible sizes for side x? Please explain about the rule as well.....

Answer like this (fill in the blanks).
__< x <__

Answers

Answer:

0.2 < x < 11.8

Step-by-step explanation:

The triangle inequality theorem states that the sum of any two sides of a triangle must be greater than the third side, for it to form a triangle. So, we can set up 3 equations, x + 5.8 > 6, 5.8 + 6 > x, and x + 6 > 5.8. This solves out to x > 0.2, x < 11.8, and x > -0.2. We can disregard that last one, because a side can't be negative. Therefore, we know the possible range of values for x.

I hope I could be of help! Please give brainliest!

Find the number of 4-digit numbers that contain at least three odd digits.

Answers

Answer:

Total number = 3000

Step-by-step explanation:

Odd digit numbers = 1,3,5,7,9

Total no. of odd digit numbers = 5

Numbers which aren't odd = 0,2,4,6,8

Total no. which aren't odd = 5

For a 4 digit number.

If all Fours digits are odd:

Total numbers = 5×5×5×5 = 625

If first digit is not odd and last three digits are odd:

Total numbers = 4×5×5×5 = 500

(0 cannot be put at first digits place)

If second digit is not odd and rest three digits are odd:

Total numbers = 5×5×5×5 = 625

If third digit is not odd and rest three digits are odd:

Total numbers = 5×5×5×5 = 625

If fourth digit is not odd and rest three digits are odd:

Total numbers = 5×5×5×5 = 625

Add all of them we get:

Total number = 625+500+625+625+625 = 3000

What does it mean to make connections when comparing and contrasting? (10 points)

Answers

Answer:

When making connections using compare and contrast, you should look for hidden similarities and differences. Compare/contrast aims to show all the necessary information or details that makes a topic or an object similar of different. Therefore, you should not only state the obvious, but also cite.

In a city, taxicab fare is .80 cents for the first 1/4 mile and .20 for additional 1/4 mile. How far can you travel for $5.00?

Answers

Answer:

5 1/2 MILES

Step-by-step explanation:

$5.00-$.80=$4.20

4.20/.20=21/4= 5 1/4+1/4= 5 2/4 OR 5 1/2 MILES

Hope this help!

5 miles and a halffff

If f(x) = 3x + 2 and g(x) = x2 + 1, which expression is equivalent to (f circle g) (x)? (3x + 2)(x 2 + 1) 3x 2 + 1 + 2 (3x + 2)2 + 1 3(x 2 + 1) + 2

Answers

Answer:

(f circle g) (x) = 3x^2 + 5

Step-by-step explanation:

To find (f circle g)(x), we substitute function g(x) for x in f(x) = 3x + 2:

(f circle g) (x) = 3(x^2 + 1) + 2, or

                         3x^2 + 3 + 2, or

(f circle g) (x) = 3x^2 + 5

Answer:

(f circle g) (x) = 3x^2 + 5

Step-by-step explanation:

factorise
a^2-4ab+5b^2-c^2+6bc​

Answers

There is no way this is a middle school question

Solve and graph |-8x|<8 help me lol

Answers

Step-by-step explanation:

|-x|<1 --> -1<-x<1 --> -1<x<1

so the graph is the striped part

What is the 1st term in the sequence of cube numbers?

Answers

Answer:

1

Step-by-step explanation:

The n th term of cube numbers is calculated as

[tex]a_{n}[/tex] = n³

To find the first term let n = 1, that is

a₁ = 1³ = 1

Answer:

1.

Step-by-step explanation:

1 is the first term in the square numbers, as it is in the sequence of cube numbers.

1^3 = 1 * 1 * 1 = 1.

Hope this helps!

25. On a farm, there are c cows and 15
sheep. There are 4 more sheep than
cows. Which equation represents the
situation?
A C= 15 +4
B C= 15-4
CC=4 - 15
D C = 4 x 15

Answers

Answer:b because if there is 4 more sheep than cows just subtract 4 and you get the number of cows

Step-by-step explanation:

Answer: B

If there are 15 sheep and thats 4 more than the amount of cows, you just subtract 4

Michael is 6 feet tall and is standing on top of
a building, looking at a park in the distance.
The angle of depression is 53°. If the building
you are standing on is 100 feet tall, how far
away is the park? Round your answer to the
nearest tenth.
ft away from the
The park is
building.

Answers

Answer:

79.9 feet.

Step-by-step explanation:

If you draw out the problem, you can easily visualize it.

We are given the opposite side length and the angle, and we need to find the adjacent. So, we will use tangent (soh cah toa - tangent: opposite/adjacent).

tan(53) = (100 + 6) / x

tan(53) = 106 / x

x = 106 / (tan(53))

x = 106 / 1.327044822

x = 79.87672931

Round your answer to the nearest tenth!

So, the park is approximately 79.9 feet away!

Hope this helps!

Which number has a repeating decimal form?

Answers

Answer:

Option D

Step-by-step explanation:

A. [tex]\sqrt{15}[/tex] = 3.87298

B. 11/25 = 0.44

C. 3/20 = 1.25

D. 2/6 = 0.333........

So, D had a repeating decimal form because it repeats the number 3.

Answer:

Step-by-step explanation:

D:  2/6.  Note that 2/6 = 1/3 = 0.3333333....  (repeating decimal form)

Which equation is true if the perimeter of the rectangle is 60? A rectangle with a length of 3 x minus 2 and width of x + 5. x + 5 = 3 x minus 2 (x + 5) + (3 x minus 2) = 60 2 (x + 5) + 2 (3 x minus 2) = 60 2 (3 x minus 2) minus 2 (x + 5) = 60

Answers

Answer:  2 (x + 5) + 2 (3 x minus 2) = 60

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

Length = 3 x minus 2

Width = x + 5.

Since:

Perimeter of a rectangle = 2 length +2 width

Replacing with the values given:

60 = 2 ( x+5)+ 2 (3x minus 2 )

So, the correct option is:  

2 (x + 5) + 2 (3 x minus 2) = 60  

Feel free to ask for more if needed or if you did not understand something.

The correct one is option C.

Good luck!!!

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