3. Round off the following numbers to three decimal places:
a) 31,1104
b) 0,10989​

Answers

Answer 1
A) 31.110
B) 0.110

When rounding to three decimal places, you consider if the number to the right of the third decimal place is less than or greater than 5. If it's less than 5, then the digit in the third decimal place stays the same. If it is greater than or equal to 5, then you round the digit in the third decimal place up by one.
Answer 2

Answer:

311.104

010.989

Step-by-step explanation:


Related Questions

can someone help please

Answers

9514 1404 393

Answer:

  4.  n = 4

  5.  P(A|B) = 0.75

Step-by-step explanation:

4. The coefficient of x will depend on n. The expansion is ...

  (5 +nx)^2(1 +3/5x)^n = (25 +10nx +n^2·x^2)(1 +3/5nx +...)

So, the x-term of the expansion is ...

  25(3/5nx) +(10nx)(1) = 25nx

The problem statement tells us that is 100x, so we have ...

  25nx = 100x

  n = 100x/(25x) = 4 . . . . . divide by the coefficient of n

The value of n is 4.

__

5. For the conditional probability formula, we need to know P(A∩B).

  P(A∩B) = P(A) +P(B) -P(A∪B)

  P(A∩B) = 0.5 +0.4 -0.6 = 0.3

Then the conditional probability is ...

  P(A|B) = P(A∩B)/P(B) = 0.3/0.4

  P(A|B) = 0.75

Please help me on this!! 11 points!!!

Answers

[tex] \orange{\underline{\huge{\bold{\textit{\green{\bf{QUESTION}}}}}}} [/tex]

SIMPLIFY THE EXPRESSION [tex] \blue{\frac{m^{ \frac{2}{3} } }{m {}^{ \frac{1}{5} } } }[/tex]

[tex] \huge\mathbb{\red A \pink{N}\purple{S} \blue{W} \orange{ER}}[/tex]

[tex] \pink{ \frac{m^{ \frac{2}{3} } }{m {}^{ \frac{1}{5} } }} \\ m^{ \frac{2}{3} - \frac{1}{5} } \\ m^{ \frac{(2 \times 5) - (1 \times 3)}{3 \times 5} } \\ m^{ \frac{10 - 3}{15} } \\ m^{ \frac{7}{15} } [/tex]

[tex] \green{SECOND \: \: OPTION->}\purple{ m^{ \frac{7}{15} } }[/tex]

its the last one:) please help. giving brainlist

Answers

Answer:

[tex]5[/tex]

Step-by-step explanation:

Segments are named by their endpoints. Therefore, segment PQ will have endpoints P and Q. The length of the segment is equal to the distance between these points.

To find the distance between P and Q given their coordinates, use the distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Let:

[tex]P(-2, 7)\implies (x_1, y_1),\\Q(1, 3)\implies (x_2, y_2)[/tex]

The distance between these points is equal to:

[tex]d=\sqrt{(1-(-2))^2+(3-7)^2},\\d=\sqrt{3^2+(-4)^2},\\d=\sqrt{9+16},\\d=\sqrt{25},\\d=\boxed{5}[/tex]

Answer:

[tex]5[/tex]

Step-by-step explanation:

This problem gives one the following points on a line: ([tex]P(-2,7)[/tex]), and ([tex]Q(1,3)[/tex]). The problem asks one to find the distance between the two points. The formula to find the distance between two points on a coordinate point is the following,

[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Substitute the given values in and solve for the distance;

[tex]D=\sqrt{(-2)-(1))^2+((7)-(3))^2}[/tex]

Simplify,

[tex]D=\sqrt{(-2)-(1))^2+((7)-(3))^2}\\\\D=\sqrt{(-3)^2+(4)^2}\\\\D=\sqrt{9+16}\\\\D=\sqrt{25}\\\\D = 5[/tex]

Help please!! Worth 14 points!

Answers

Answer:

6 days

Step-by-step explanation:

Hi there!

Let d be equal to the number of days that pass.

1) Form expressions

We're told that our sister earns $30 a day, but needs to pay $60 at first:

[tex]30d-60[/tex]

We're also told that we earn $20 a day:

[tex]20d[/tex]

2) Form an equation

We're solving for the number of days that pass (d) in order for both our and our sister's income to equal each other.

For our income and our sister's income to equal each other, the following must be true:

[tex]30d-60=20d[/tex]

Because the only variable here is d, we can simply isolate it to determine the number of days that would pass.

3) Solve for d

[tex]30d-60=20d[/tex]

Subtract 30d from both sides to isolate d on one side

[tex]30d-60-30d=20d-30d\\-60=-10d[/tex]

Divide both sides by -10 to isolate d

[tex]6=d[/tex]

Therefore, for both our income and our sister's income to become equal, 6 days would pass.

I hope this helps!

What is the area of this tile?
Use inch or inch^2 for this problem.

Answers

Answer:

24 in^2

Step-by-step explanation:

To get the area of a triangle, multiply the base and height, then divide by 2.

Base=6

Height=8

6*8/2=48/2=24

24 in^2

Answer:

24 inch^2

Step-by-step explanation:

6 times 8 equals 48

Divide that by 2 and get 24

Area of Triangle is A=1/2bh

Can I get Brainliest, please!

Math help please show work thanks

Answers

8*3=24 8*3=24 5*3=15 5*3=15 5*8=40 5*8=40
24+24+15+15+40+40
48+30+80
78+80
158
Answer:  158 square feet

=====================================================

Work Shown:

36 inches = 3 feet

Divide by 12 to go from inches to feet

The block has the dimensions

L = 5 ftW = 8 ftH = 3 ft

Use the formula below to calculate the surface area

SA = 2*(LW+LH+WH)

SA = 2*(5*8+5*3+8*3)

SA = 2*(40+15+24)

SA = 2*(79)

SA = 158 square feet

So if you had 158 square feet of wrapping paper, then you can cover this entire 3D box without any gaps or overlaps. The paper can be folded over the box, or you can cut/glue the pieces on, but make sure there isn't any leftover scraps of paper.

please help :DDDDDDD

Answers

Answer:

B 5/6 * -11/-7

Step-by-step explanation:

-5 / -7 = 5/7

-11/-6 = 11/6

Multiply

5/7 * 11/6

Rewriting

5/6 * 11/7

We can make  the 11 and the 7 negative (-11/ -7 = 11/7)

5/6 * -11/-7

If P is the incenter of JKL, find m Please show the work, that would be really helpful, thank you!

Answers

Answer:

[tex]34^{\circ}[/tex]

Step-by-step explanation:

The incenter of a triangle can be defined as the intersection of three angle bisectors that bisect all angles of the triangle.

By definition, an angle bisector divides an angle into two equal smaller angles.

Therefore:

[tex]\angle KJN=\angle LJN,\\\angle KLM=\angle JLM, \\\angle JKP=\angke LKP[/tex]

What we're given:

[tex]\angle KJN=\angle LJN=30^{\circ}[/tex] [tex]\angle KLM=\angle JLM=26^{\circ}[/tex]

The sum of the interior angles of a triangle always add up to be 180 degrees. Since these six angles make up the total sum of the interior angles, we have the following equation:

[tex]\angle KJN+\angle LJN+\angle KLM +\angle KLM +\angle JKP+ \angle LKP=180^{\circ}[/tex]

Substituting given values:

[tex]30+30+26+26+\angle JKP+\angle LKP=180[/tex]

Since [tex]\angle JKP=\angle LKP[/tex],

[tex]30+30+26+26+2(\angle JKP)=180,\\112+2(\angle JKP)=180,\\2(\angle JKP)=180-112,\\2(\angle JKP)=68,\\\angle JKP=\frac{68}{2}=\boxed{34^{\circ}}[/tex]

5. In the triangle ABC. M is the midpoint of [AB] and N is the midpoint of [CM].
Find the coordinates of N. Given that A(-1, 3), B(7-3) and C(1,6).

Answers

Answer:

N(2,3)

Step-by-step explanation:

According to the Question,

Given that, In the triangle ABC. M is the midpoint of AB and N is the midpoint of CM And A(-1, 3), B(7-3) and C(1,6). Thus, For coordinates of N. first We have to find the Coordinate of M(x,y). As Given M is the Midpoint of A(-1, 3) and B(7-3).

Thus, M(x,y) = (-1+7)/2 , (3-3)/2 ⇒ M(3,0)

Now, As Given, N(a,b) is the Midpoint Of C(1,6) and M(3,0).

Thus. N(a,b) = (1+3)/2 , (6+0)/2  ⇒ N(2,3)

SOMEONE HELP ME PLEASE

Answers

9514 1404 393

Answer:

  log4(2) = 0.5000

Step-by-step explanation:

You are being asked to figure out how to make the value 2 from the values 6 and 3. Your familiarity with arithmetic facts tells you ...

  2 = 6/3

Taking logs base 4, you have ...

  log4(2) = log4(6/3) = log4(6) -log4(3)

  log4(2) = 1.2925 -0.7925

  log4(2) = 0.5000

__

Additional comment

This is consistent with your knowledge of factors of 4:

  √4 = 4^(1/2) = 2

  log4(2) = 1/2

__

Here, we're using "log4" to mean the base-4 logarithm.

Help ASAP please thank u

Answers

Answer:

(A). F(x) = (x+1)^2

Step-by-step explanation:

If you replace x with the values of the axis, you get all the coordinates of the graph.

If this helps you, please give brainliest!

The answer is A)

Because you should horizontal shift 1 point to the left and I think the graph should parabola, so yeah hope that answers your question and good luck!!

Write the smallest three digit number whose value does not change on reversing its digits.​

Answers

Answer:

the answer is 101.

Step-by-step explanation:

it is the smallest three-digit number whose value does not change on reversing its digits.

Shantelle wants to rent a midsize car for one day.Value rent a car charges $20 a day plus 0.20 per mile,and best rent a car charges $30 a day plus $0.10 per mile for rental of the same mid-size car

Part A)write an equation in slope intercept form,y=mx+b for each car

Part b: determine the mileage where the rental charges are the same.

(Need help asap)

Answers

Answer:

See answers to parts a and b below.

Step-by-step explanation:

A. Value: y=20+.20x

Best Rent y=30+.10x

B. 20+.20x=30+.10x make equations equal each other by subbing y values.

.10x=10 simplify equation

x=100

check answers by subbing 100 for x in each equation.

y=20+.20(100)

y=20+20

y=40

y=30+.10(100)

y=30+10

y=40

Both equations equal 40, so 100 is the correct number of miles for when Value equals Best Rent.

Determine the measure of CD from the diagram below.

Answers

Answer:

100 degrees

Step-by-step explanation:

This is because AED And CED ARE supplimetary.

80+<CED=180

-80           -80

<Ced=100

Helpppppppppppp meeeeeeeeee

Answers

Answer:

X=-1

Step-by-step explanation:

X=-1 is just a vertical line since it only tells where the x point is.

Find length bc. Give your answer to 1 decimal place 11cm 64 trigonometry

Answers

Answer:

BC ≈ 9.9 cm

Step-by-step explanation:

Using the sine ratio in the right triangle

sin64° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{BC}{11}[/tex] ( multiply both sides by 11 )

11 × sin64° = BC , then

BC ≈ 9.9 cm ( to 1 dec. place )

helppppp- u just need to simplify the given term

Answers

The answer is 8.25 or 8 1/4

I hope this helps <3

There are 6 rotten mangoes and 24 good mangoes in a bag. What fraction of the mangoes is rotten?

Answers

[tex]\sf \bf {\boxed {\mathbb {Given:}}}[/tex]

Total number of rotten mangoes in the bag = 6

Total number of good mangoes in the bag = 24

[tex]\sf \bf {\boxed {\mathbb {To\:find:}}}[/tex]

Fraction of the rotten mangoes to the total mangoes.

[tex]\sf \bf {\boxed {\mathbb {Solution:}}}[/tex]

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \frac{1}{5} }}}}}}[/tex]

[tex]\sf \bf {\boxed {\mathbb {Step-by-step\:explanation :}}}[/tex]

Total number of mangoes in the bag = Total number of rotten mangoes + Total number of good mangoes

➺[tex]\:6 + 24[/tex]

➺[tex]\:30[/tex]

Now,

Fraction = [tex]\frac{Total \: \: number \: \: of \: \: rotten \: \: mangoes}{Total \: \: number \: \: of \: \: mangoes}[/tex]

➺[tex] \: \frac{6}{30} [/tex]

➺[tex] \: \frac{1}{5} [/tex]

Therefore, the fraction of the rotten mangoes to the total mangoes is [tex]\sf\pink{\frac{1}{5}}[/tex].

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]

Answer:

6/24

Step-by-step explanation:

It is 1/4 in simplest form

Please help meee I need this done ASAP

Answers

Answer:

4pi/15=θ  - i think

Step-by-step explanation:

S = r*θ

r=9

s=12pi/5

12pi/5=9*θ

12pi/45=θ

4pi/15=θ

What is the growth factor associated with the following growth rate: 30% decrease

Your answer should be typed as a decimal.

Answers

Given:

Growth rate = 30% decrease

To find:

The growth factor associated with the given growth rate.

Solution:

The general exponential function is:

[tex]y=a(1+r)^x[/tex]

[tex]y=a(b)^x[/tex]

Where, a is the initial value, r is the growth rate in decimal and [tex]b=1+r[/tex] is the growth factor.

It is given that the growth rate is 30% decrease. So,

[tex]r=-30\%[/tex]

[tex]r=-\dfrac{30}{100}[/tex]

[tex]r=-0.3[/tex]

Now,

[tex]b=1+r[/tex]

[tex]b=1+(-0.3)[/tex]

[tex]b=1-0.3[/tex]

[tex]b=0.7[/tex]

Therefore, the growth factor is 0.7.

what are the two greatest common factors in 28 and 10

Answers

1 and 2 are the greatest common factors

Write the equation of the line that passes through the points (8,1) and (-1,3). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.​

Answers

Answer:

y-3 = -2/9(x+1)

Step-by-step explanation:

Here, we want to find the standard equation

Generally, we have the equation as;

y = mx + b

where m is the slope of the line and b is the y intercept

To find the slope, we use the slope equation

m =y2-y1/x2-x1

m = (3-1)/(-1-8) = 2/-9 = -2/9

So to write in point slope form, we can use any of the two points

We have;

y-y1 = m(x-x1)

using (-1,3)

y-3 = -2/9(x+1)

KoKo Chocolatiers sells their truffes in rectangular boxes. They are going to start ordering circular boxes, too. The rectangular box is made from metal that is 0.3 cm thick. The circular box will be constructed from laminated cardboard that is 0.2 cm thick. The height of the circular box will be the same as the rectangular box. If the volumes of the two boxes are equal, then what is the radius (r) of the circular box?

Answers

Answer:

r = 9.61 cm

Step-by-step explanation:

Volume of a rectangular box = length × width × height

= 21.5 cm × 13.5 cm × 6 cm

= 1,741.5 cm³

Volume of a rectangular box = 1,741.5 cm³

Since,

Volume of a rectangular box = Volume of a circular box

Then,

1,741.5 cm³ = Volume of a circular box

Volume of a circular box = πr²h

1,741.5 cm³ = 3.14 * r² * 6 cm

1,741.5 = 18.84r²

r² = 1,741.5/18.84

r² = 92.436305732484

r = √92.436305732484

r = 9.6143801533163

Approximately,

r = 9.61 cm

Swadaylab arck, a
fatis)
ne that obat 5. Eind the raken
$10​

Answers

I don’t know I just need points I apologize

A box of Lucky Charms costs $3.29 and you have a coupon that will save you 75 cents off 2 containers. What is the final price if you buy 2?​

Answers

The final price of the lucky charms is $2.54

A shop-keeper wants to charge 1.5 times
as much per toilet roll for offer B than offer A.
What is the price for offer B?

Answers

Answer:

ok so the equation would look like this

B=1.5A

so b is 1.5 times more then a

B=1.5A So your answer is that it’s 1.5 times greater

PLS ANSWER CORRECT
I WILL REPORT OR BAN YOU IF INCORRECT
I WILL MARK HIM BRAINLIST AND RATE 5 WHO ANSWERS CORRECT
THANKS A LOT​

Answers

Step-by-step explanation:

The AB is equal to AC because They are straight lines that both came from the same point Which is A. which shows congruecy or similarity

Question 3:
A ladder is placed against a wall.
The base of the ladder is 4 foot from the bottom of the wall.
The angle between the ladder and the ground is 80°.
What is the length of the ladder?

Answers

probably this would help.

Please help i don't have enough time!! PISA: Exchange rate Mei-ling from Singapore has been preparing to go to South Africa for 3 months as an exchange student. She needed to convert some Singapore dollars (SGD) into South African Rand (ZAR). Mei-Ling discovered that the exchange rate between Singapore Dollar and South African Rand SeM 1 SGD = 4.2 ZAR Mei-Ling changed 3000 Singapore Dollars to South African Rand at this exchange rate. How much money did Mai Ling get in South African Rand?

Answers

Answer:

12600 (ZAR)

Step-by-step explanation:

4.2*3000

ZCAB = 150°. What is the value of х?
(4х + 22)
(6х + 8)

Answers

Step-by-step explanation:

Dhuʻl-H. 7, 1441 AH · 2 answers

5)Find the value of x for which 2x ÷ 2- 4 = 45 6) Calculate the missing value of “x” in the following expression: (11/9)3 × (9/11)6 = (11/9)2x-1 7) 5 ...

Missing: ZKB = ‎150°. ‎(4х +

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