How many two-digit positive integers can be formed from the digits 1, 5, 6, and 8 if no digit is repeated?

Answers

Answer 1

Total Number of digits = 4

We have to fill two places using the 4 digits without repeating the digits.

The first place digit can be filled in 4 ways. When first place is filled, one number is already taken, so now we can fill the second place using remaining 3 digits (3 ways)

So, the total number of ways of forming 2 digit numbers = 4 x 3 = 12 ways

Related Questions

a total of 45mg of medication is dissolved in a solution containing 300ml. if 20ml of the solution are administered to a patient, how many milligrams of medication does the patient receive

Answers

3mg
(Multiply 45mg by 20ml and then divide by 300ml I believe. )
((:

Find the number of sides when:
a. The measure of each interior angle of a regular polygon is 156 degrees.
b. The measure of each exterior angle of a polygon is 36 degrees.

Answers

((n-2)×180)/n = 156
(n-2)×180=156n
24n =360
n =15

360/n =36
n = 10

a)15 b)10

Final answer:

To find the number of sides of a polygon, one can use the relations between interior or exterior angles and the number of sides. For an interior angle of 156 degrees, the polygon has 15 sides. For an exterior angle of 36 degrees, the polygon has 10 sides.

Explanation:

The question is about finding the number of sides of a polygon based on the interior and exterior angles. For part (a), where the measure of each interior angle of a regular polygon is 156 degrees, and for part (b), where the measure of each exterior angle is 36 degrees, we can use specific formulas to find the number of sides.

Part A: Interior Angle 156 Degrees

For a regular polygon, the formula connecting the number of sides (n) to an interior angle (A) is A = [(n-2) * 180] / n. Solving for n when A = 156 degrees gives us:

156 = [(n-2) * 180] / n
Solving this equation yields n = 15, meaning the polygon has 15 sides.

Part B: Exterior Angle 36 Degrees

The measure of each exterior angle of a polygon (E) is related to the number of sides (n) by the formula E = 360 / n. When E = 36 degrees:

36 = 360 / n
Solving for n gives us n = 10. Therefore, the polygon has 10 sides.

To babysit one child, Fernando charges $10 to drive to the appointment plus $4 per hour. He saves 30% of the total amount he earns. Brenna charges $6 per hour and saves 25% of the total amount she earns. Which equation can be used to determine the number of hours, h, after which Fernando and Brenna will have saved the same amount of money?

Answers

Answer: 10 hours

Explanation:

1) Fernando's earnings:

10 + 4h ← 10 is a fix charge, h is the number of hours and 4 is the rate per hour

2) Fernando's savings

0.30 (10 + 4h) ← 30% = 30 / 100 = 0.3

3 + 1.2h ← distributive property

3) Brenna's earnings

6h ← h is the number of hours, 6 is the rate per hour

4) Brenna's savings

0.25(6h) ← 25% = 25/100 = 0.25

1.5h ←0.25 × 6 = 1.5

5) Equal savings

3 + 1.2h = 1.5h

1.5th- 1.2h = 3 ← transpose terms

0.3h = 3 ← combine like terms

h = 3 / 0.3 = 10 ← divide by 0.3

Answer: h = 10

Answer:

(C) 0.3(10 + 4h) = 0.25(6h)

Plz press the THANKS button.

Can you please solve this equation?

Answers

x = -52 4/17
the full answer in attachments

Radical Expressions and Data Analysis Unit Portfolio
ALGEBRA 1 B
Directions: Complete each of the tasks outlined below. Task 1
For 7 days keep track of the number of pieces of mail you receive at your home.
a. Put your data into a frequency table having intervals of 0–4, 5–9, 10–14, and 15–19.
b. Use the frequency table to create a histogram of the data.
c. Doyounoticeanypatternsinthehistogram?
Task 2
a. Pick 9 different dog breeds and find their average weights. List each breed and weight. Find the mean, median, and mode of the data. Which measure of central tendency best describes the data? Explain your answer.
b. How much would a 10th dog have to weight for the average weight in part (a) to be 250 pounds? Explain how you determined your answer.
Task 3
Pick a city in Maryland and determine the average high temperatures for each month. Record this in a table.
a. Create a box-and-whisker plot for the data.
b. What is the median temperature?
c. 75%ofthetemperaturesarebelowwhatvalue?Howdoyouknow? d. 75% of the temperatures are above what value? How do you know? e. What conclusions can you draw about the temperature in Maryland?

Answers

TASK 1
a) Data and frequency table are attached in picture #1.

b) The histogram is attached in picture #2

c) As the intervals increase the number of pieces of mail received, the frequency decreases, therefore we can say that are received few pieces of mail are received more often.

TASK 2
a) The list of breeds and weights are reported in picture #3.

In order to find the mean, sum up all the weights and divide by 9:
m = (8 + 10 + 15 + 29 + 32 + 75 + 77 + 80 + 85) / 9 = 45.67 lbs

In order to find the median, you need to select the central value of your distribution: since you have 9 values, the central one will be in the fifth position:
M = 32 lbs

In order to find the mode, you need to select the value which shows more frequently: in this case, every value shows only once, therefore the mode cannot be determined.

The data are best described by the mean because they are almost symmetrically distributed between the least and the biggest values, while the median is more towards the small-weight side of the distribution.

b) In order to have an average of 250 lbs, the tenth dog should weight 2089 lbs.

Indeed, if the average is 250 lbs for 10 dogs, it means that the total sum of their weights is 250 × 10 = 2500 lbs. We know that the sum of the first 9 dogs is 411 lbs, therefore, the tenth dog should weight 2500 - 411 = 2089 lbs.

TASK 3
The city picked is Baltimore, the year 2017.
The table is attached in picture #4.

a) The box-and-whisker plot is attached in picture #5.

b) The median is the central value of the distribution, which is:
42.4, 45.3, 46.8 | 54.7, 57.6, 66.0 | 69.1, 76.5, 80.6 | 85.8, 87.8, 90.0
where we marked with a tally the quartiles.

Since we have 12 values, the median will be the average between the two central values:
M = (66.0 + 69.1) / 2 = 67.1 °F

c) 75% of the temperatures are below 83.2 °F.
Indeed, this value represents the third quartile. The position of the third quartile can be found by the formula:
3/4 · (n + 1) = 3/4 · (12 + 1) = 3/4 · 13 = 9.75
Therefore, since we did not get in integer position, the third quartile will be the average between the numbers in position 9 and 10:
q₀.₇₅ = (80.6 + 85.8) / 2 = 83.2 °F

d) 75% of the temperatures are above 50.8 °F.
Indeed, this value represents the first quartile. Similarly to point c), the position can be found by the formula:
1/4 · (n + 1) = 1/4 · 13 = 3.25
And therefore:
q₀.₂₅ = (46.8 + 54.7) / 2 = 50.8 °F.

e) Baltimore in 2017 had a median high temperature of 67.1 °F.
25% of the year the high temperatures were warmer than 83.2 °F, with no outlier above 90.0 °F which was the hottest temperature.
25% of the high temperatures were colder than 50.8 °F, with no outlier below 42.4 °F, which was the coldest high temperature.

evaluate 3P4, I didn’t understand this question but if you know it would great if you could explain!!!
15,120
36
3,024
504

Answers

the thing is 3,024 my dude

Answer:

3,024

Step-by-step explanation:

Use the x-intercept method to find all real solutions of the equation. x^3-10x^2+29x+-20=0

Answers

Answer: The real solutions of the given equation are x= 1, 4, and 5.

Answer:

C. is the answer 1,4 or 5

Step-by-step explanation:

Find an explicit rule for the nth term of the sequence.

2, -8, 32, -128, ...

Answers

a1=2
a2=-8
a3=32
a4=-128

a2/a1=(-8)/2→a2/a1=-4
a3/a2=32/(-8)→a3/a2=-4
a4/a3=(-128)/32→a4/a3=-4

a2/a1=a3/a2=a4/a3=r=-4

an=a1*r^(n-1)
an=2*(-4)^(n-1)

The explicit rule for the nth term of the given sequence is an=2*(-4)^(n-1)

What is the sum of the measures of the exterior angles of any convex polygon? A. 720 B. 180 C. 90 D. 360

Answers

the sum of the measures of the exterior anhles of any convex polygon is D.360

If a polygon is convex, then the sum of the measures of the exterior angles, one at each vertex, is 360°

Please help with easy math problem.

What is the value of d to the nearest tenth?

A. 11.2
B. 13.8
C. 16.7
D. 17.5

Answers

Answer:

Option B is correct

d = 13.8

Step-by-step explanation:

Definition:

If two secant segments are drawn to a circle from the same external point(P),

the product of the length of one secant segment and its external part is equal to product of the length of the other secant segment and its external part.

As per the statement:

Labelled the diagram:

then;

PA = 14 units , AB = 20 units, PC = 16 units and CD = d units

Find PB and PD:

PB = 14+20 = 34 units

PD = 16+d units

then by above definition we have;

[tex]PA \cdot PB = PC \cdot PD[/tex]

⇒[tex]14 \cdot 34 = 16 \cdot (16+d)[/tex]

⇒[tex]476=16 \cdot (16+d)[/tex]

Divide both sides by 16 we have;

[tex]29.75 = 16+d[/tex]

Subtract 16 from both sides we have;

13.75 = d

d = 13.75 units

Therefore, the value of d to the nearest tenth is, 13.8

A rectangular prism measures 6.7 in. by 4.2 in. by 2.5 in. Round each measure to the nearest whole number to estimate the volume.

Answers

6.7x4.2x2.5 =
70.35
70 in.

The world's biggest rubber band ball has a surface area of 27648. Using 3 as pi for both surface area and volume, estimate the volume of the ball.
Question 5 options:

358966

788428

442368

257854

Answers

we know that
surface area of sphere=4*pi*r²
r=√[surface area/(4*pi)]
for surface area=27648
r=√[27648/(4*3)]-------> r=√2304-----> r=48 units

volume of a sphere=(4/3)*pi*r³-----> (4/3)*3*48³---> 442638 units³

the answer is
442368

given that A=43 degrees , B=82 degrees and c=28, solve triangle ABC. Round to the nearest hundredth. A) C= 93 degrees , b= 33.8 , a= 23.3 B) C= 55 degrees , b= 33.8 , a= 23.3 C) C= 55 degrees , b= 23.3 , a= 33.8 D) C= 93 degrees , b= 23.3 , a= 33.8

Answers

The angles of the triangle can be determined by cosine law

a^2 = b^2 + c^2 - 2bccosA

substituting;
(43^2)=(82^2)+(28^2)-2(82)(28)cosA

A=23.3 degrees

and the other angles can be determined using sine law

sin A/ a = sin B/ b = sin C/ c

Thus,
B= 33.8 degrees
and
C= 55 degrees

Jessica had m beads. She used 18 of them to make a necklace for her mom. Then she used the rest to make k bracelets for her friends, with the same number of beads in each bracelet. How many beads did she use to make each bracelet?

Answers

m - 18 = x

x/k = t

t is the number in each bracelet

please give brainliest if this helped!! :D

How many ways are there to choose a committee of 7 people from a group of 10 people?

720

120

840

5040

Answers

I think it's 720
Have a GREAT day!

The price of an iteam has been reduced by 75%. The original price was $45. What is the price of the item now?

Answers

You'll pay onl 25% of the orig. price: 0.25($45) = $11.25. What a bargain!

The new price of the item after 75% reduction is $11.25.

To find the price of the item after a 75% reduction:

Calculate the amount of the reduction: 75% of $45 is $33.75.

Subtract the reduction from the original price: $45 - $33.75 = $11.25.

a photographer's camera sits on a tripod that is 1.8 m above the ground. The base of the tripod is 44 m from the base of a tree. The photographer's spot woodpecker in a tree at a 39 degree angle of elevation. To the nearest tenth of a meter, how high above the ground is the woodpecker? A.37.4m B.36.0m C.35.6m D.34.2m

Answers

I found 37.4 so letter A is the answer.

Two runners ran as a team in a 5,000-m relay race. the first runner ran 500 m farther than the second runner. how many meters did each run?

Answers

Let a = runner 2, a + 500 = runner 1.

a + (a + 500) = 5000
2a + 500 = 5000
2a = 4500
a = 2250

Runner 1 ran 2,750 meters. Runner 2 ran 2,250 meters.

Let x be the distance first runner ran.
Since first runner ran 500m more than 2nd runner so, x-500.

The total distances they ran must add to 5000.

So,
x + x - 500 = 5000, or
2x = 5500, or
x = 2750.

So the first runner ran 2,750 m. And the second runner ran x - 500 = 2750 - 500 = 2,250 m.
Let's check 2750+2250 = 5000.
The answer's correct .

A rectangular piece of sheet metal has a length that is 6 in. less than twice the width. a square piece 3 in. on a side is cut from each corner. the sides are then turned up to form an uncovered box of volume 1536 in. cubed find the length and width of the original piece of metal.

Answers

Suppose:
width=x in
length=2x-6
when 3 inches square is cut from the corner, the new dimensions will be:
width=(x-6) in
length=(2x-6-6)=(2x-12) in
height=3 in
thus the volume will be:
(x-6)(2x-12)3=1536
solving the above we get:
x=-10 or x=22
thus the original:
width=22 in
length=22*2-6=38 in

Which statement provides a counterexample to the following faulty definition? A square is a figure with four congruent sides. Question 8 options: A six-sided figure can have four sides congruent. A rectangle has four sides. Some triangles have all sides congruent. A square has four congruent angles.

Answers

Answer:

1. The six-sided figure can have 4 sides congruent but is not a square.

Step-by-step explanation:

We are given the statement,

'A square is a figure with four congruent sides'.

It is required to find the statement which is the counter-example for the above statement.

For the counter-example, the statement should hold:

1. The figure has 4 congruent sides

2. The figure is not a square.

According to the options, we see that,

The six-sided figure can have 4 sides congruent but is not a square.

Thus, option 1 is true.

A counterexample to the faulty definition will be that A six-sided figure can have four sides congruent.

It should be noted that a rectangle has four sides while there are some triangles that have all their sides congruent and a square has four congruent angles as well.

The statement that a six-sided figure can have four sides congruent is the correct option.

In conclusion, the correct option is A.

Read related link on:

https://brainly.com/question/3452116

Taylor is a 35-year-old woman who has not yet planned for retirement. She would like to retire at age 70. Answer each question using complete sentences.

Part I: In what type of investment should Taylor deposit her money? Why?
Part II: At what age, or point in your life, would you like to start saving for retirement?
Part III: In what type of investments would you like to deposit your money into when you start saving for retirement? Why?

Answers

Part I: Taylor should deposit her money in a fix deposit account. This is because at the age of 35, she might be having responsibilities. So unless she commits herself, she may end up saving nothing.
Part II: I would state saving for my retirement immediately i start earning. Preferably at my 20s.
Part III: If I am saving for my retirement i would invest in a fixed deposit account. This way my money would be increasing with interest and still getting the dividends at the end of every year.

A triangle has an angel of 25 degrees. The other two angles are in a ratio of 15:16. What are the measures of those two angles?

Answers

All triangle angles sum to 180 degrees.

A) 25 + x + y = 180 which equals
A) x + y = 155
B) 15x = 16y
B) x = 16y / 15
Then substituting this into A)
A) (16y / 15) + y = 155
Multiplying both sides by 15
A) 16y + 15y = 2,325
A) 31y = 2,325
y = 75

Putting this into equation A)
A) 25 + x + y = 180
A) 25 + x + 75 = 180
A) 100 + x = 180
A) x = 80

Look at the question on the first image then answer on the second image

Answers

using the Pythagorean theorem

32^2 +x^2 = 60^2

1024 + x^2 = 3600

x^2 = 3600 - 1024
x^2 = 2576
x = sqrt(2576)
x = 50.75
length = 51 inches

The answer is 51 inches.

A and B have coordinates –2 and 10 on a number line. If it is marked off into 10 congruent segments, which one of the following coordinates is NOT one of the marked points? a. –0.8 c. 1.6 b. –0.6 d. 2.8

Answers

Your answer will be D

Answer:

b. - 0.6

Step-by-step explanation:

Since, the total coordinates from -2 to 10 = 10 - (-2) = 10 + 2 = 12,

Also, if it is divided into 10 congruent segments,

Then, the length of each segment = [tex]\frac{12}{10}[/tex] = 1.2,

That is, the difference between the marked point is 1.2,

So, the marked points from -2 to 10 are,

-2, -0.8, 0.4, 1.6, 2.8, 4.0, 5.2, 6.4, 7.6, 8.8, 10,

Hence, except -0.6 all points are the marked points,

Option b is correct.

Find the arc length of a central angle of 7pi/3 in a circle whose radius is 3 inches

Answers

To calculate the arc length, multiply the angle in radians (7pi/3) by the radius (3 inches). After simplifying, the arc length for this circle is 21 inches.

To find the arc length for a central angle of 7pi/3 radians in a circle with a radius of 3 inches, we use the formula for arc length, which is the product of the central angle in radians and the radius of the circle.

The formula for the arc length (As) is given by:

As = r times theta

Where:

r is the radius of the circle.

theta is the central angle in radians.

Substituting the given values, we get:

As = 3 inches times 7pi/3 radians

The 7pi/3 terms cancel out the pi/3 from the angle and /3 from the radius, giving us:

As = 3 times 7 inches

The arc length is therefore 21 inches.

The scale drawing of a baby blanket has the dimensions of 6 inches by 10 inches. the dimensions of the actual baby blanket are 30 inches by 50 inches. what is the scale factor that is used to make the drawing?

Answers

Scale factor=6/30=10/50=1/5
Answer : 1/5

Which mesurments are greater than 130 fluid ounces 5 quarts, 16 cups, , 9 pints, 2 gallons, or 1 gallon i am not good with math ty?

Answers

5 quarts, 9 pints, and 2 gallons.
Hope this helped!
-Jello-

Answer:

5 quarts , 9 pints, 2 gallons

Step-by-step explanation:

Si un ángulo de un rombo mide 39 grados , ¿ cuánto miden los demás ?

Answers

the question in English

If an angle of a rhombus measures 39 degrees, how much do others measure?

we know that
A rhombus is an equilateral (all sides are the same length) quadrilateral.
The consecutive angles of a rhombus are supplementary (add up to 180 degrees).
Opposite sides are parallel, and opposite angles are equal

see the picture to better understand the problem

in this problem
let
A=39°
A+B=180--------> B=180°-39°-----> B=141°

the answer is
the angles of the rhombus are
39° 141° 39° 141°

the answer in spanish

sabemos que
Un rombo es un polígono con cuatro lados (cuadrilátero) siendo los cuatro iguales. Tiene cuatro ángulos interiores iguales dos a dos.
Los ángulos consecutivos de un rombo son suplementarios (suman 180 grados).

en este problema
hagamos
A=39°
A+B=180--------> B=180°-39°-----> B=141°

la respuesta es
los angulos del rombo son
39° 141° 39° 141°

Help me..... please.....

Answers

Hello!
The first step is to add the 40 to both sides of the equation because the 40 is negative, and adding a 40 will make it 0.
Hope this helps!

The height reached by amal's rocket was 1/4 of the height reached by min's rocket. Amal's rocket REAched a height of 15 meters. Which equation could be used to find the height reached by min's rocket

Answers

To solve this problem you must keep on min the information given in the problem shown above:

1- You have that

- The height reached by amal's rocket was 1/4 of the height reached by min's rocket.
- Amal's rocket REAched a height of 15 meters.

2. Therefore, let's call "x" to the height reached by min's rocket. Then, you have:

(1/4)x=15
x/4=15

Which equation could be used to find the height reached by min's rocket?

The answer is: x/4=15

Final answer:

The height reached by Min's rocket could be found by using the equation (1/4)*h = 15, where 'h' denotes the height of Min's rocket. Amal's rocket height is 1/4 of the height of Min's rocket.

Explanation:

In the question, it is stated that the height of Amal's rocket is 1/4 of the height reached by Min's rocket. Since the height attained by Amal's rocket is given as 15 meters, we can establish an equation to find the height reached by Min's rocket. Let's denote the height of Min's rocket as h. We know that 1/4 of Min's rocket height equals Amal's rocket height. So it can be represented as:

(1/4)*h = 15

By solving this equation, we can find the height attained by Min's rocket.

Learn more about Height of Rockets here:

https://brainly.com/question/29070000

#SPJ12

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