round 0.05468 to 2 significant figures
please explain.

Answers

Answer 1
Some properties of significant figures to keep in mind are:
1. all none zero numbers count (1-9)
2. all trailing zeros don't count (1000)
3. all leading zeros don't count (0.005)
4. all zeros between nonzero numbers count (1001)
5. all zeros after a decimal (not leading) count ($1.00)

Thus, since this number has leading zeros, we will not count them So then this number rounded to 2 significant figures will be: 0.055

Related Questions

a store sells coffee for $34 per bag. if a bag contains 6 lbs, find the cost of coffee per pound

Answers

just divide 34 by 6 and the answer would be $5.67 per pound

the coffee is stirred with a spoon. The spoon gets hot due to convection conduction or radiation?? will give brainiseest

Answers

Conduction - The heat from the coffee transfers to the spoon
It will get hot due to convection because the heat is rising upwards towards the spoon and heating it.

Simplify 2 to the fifth power over 3 squared all raised to the fourth power. 2 to the twentieth power over 3 to the eighth power 2 to the ninth power over 3 to the eigth power 8 to the fifth power over 12 squared 2 over 3 squared

Answers

2 to the fifth power over 3 squared all raised to the fourth power

[tex]\left(\dfrac{2^5}{3^2}\right)^4=\dfrac{(2^5)^4}{(3^2)^4}=\dfrac{2^{5\cdot4}}{3^{2\cdot4}}=\dfrac{2^{20}}{3^8}[/tex]

Answer: 2 to the twentieth power over 3 to the eighth power

Used:

[tex]\left(\dfrac{a}{b}\right)^n=\dfrac{a^n}{b^n}\\\\(a^n)^m=a^{n\cdot m}[/tex]

Answer:

yes

Step-by-step explanation:

How to rotate a triangle 90 degrees counter clockwise about the origin

Answers

How to rotate a shape 90 degrees clockwise about the origin?

Plot the point M (-2, 3) on the graph paper and rotate it through 90° in a clockwise direction, about the origin. Find the new position of M. Solution: When the point is rotated through 90° clockwise about the origin, the point M (h, k) takes the image M' (k, -h).
-join the gvcci gang
com o sentido horario viraremos o marcador para a direita e depois no caderno fazemos [tex] \left \{ {{y=32} \atop {x=24}} \right. [/tex] para apresentar o triangulo de 45 graus e repetimos o precesso para dps juntarmos os triangulos e temos um triangulo de 90 graus





The table shows the number of calories in four meals and the cost of each meal.





Which best describes the strength of the model?


a weak positive correlation

a strong positive correlation

a weak negative correlation

a strong negative correlation

Answers

Answer:

A weak negative correlation

Step-by-step explanation:

[tex]correlation, r = \frac{∑(y-\alpha)(x-\beta }{\sqrt{∑(y-\alpha)^2∑(x-\beta )^2 } }[/tex]

where,

[tex]\alpha = \frac{∑y}{n} \\\beta =\frac{∑x}{n} \\∑ = summation[/tex]

[tex]\alpha = \frac{3230}{4} = 807.5\\\\\\\beta =\frac{46}{4} = 11.5[/tex]

[tex]therefore,\\\\r= -0.12924[/tex]

This represents a weak negative correlation

Answer:A weak Negative correlation

Step-by-step explanation:

Which equation demonstrates the distributive property?
A) 81 + 18 = 99
B) 81 x 18 = 18 x 81
C) 81 + 18 = 9(9 + 2)
D) (9 + 2)9 = 9(9 + 2)

Answers

The correct answer that shows distributive property is C , because D is the very beginning of the equation , then C is distributing but it isn't finished fully but shows what is happening and what the difference is , then B is when you are done distributing all of your equation, and A is the last step.
Hope this helped!


(9+2)9=9(9+2)
81+18=9(9+2)
81+18=81+18
81+18=99


the answer you are looking for is C

show the numbers in order from least to greatest? 323 , 3.7, 3.65

Answers

3.65 then 3.7 and last 323

3.7, 3.65, 323 this should be right

What is the value of the function at x = −2?

Answers

positive 3 so the point would be (-2,3)

Answer:

3.

Step-by-step explanation:

We have been given graph of a function. We are asked to find the value of our given function at [tex]x=-2[/tex].

To find the value of our given function at [tex]x=-2[/tex], we need to find the y-value of our given function when [tex]x=-2[/tex].

We can see that value of y-coordinate is 3, when [tex]x=-2[/tex], therefore, at [tex]x=-2[/tex] the value of the function is 3.

Mia hiked along a 2,250-foot mountain trail. She stopped 4 times along the way to rest and then a fifth time at the end of the trail, and she walked the same distance between each stop,How far did Mia hike before the first stop?

Answers

Answer:

Mia hiked 450 ft before the first stop.

Step-by-step explanation:

Mia hiked along a 2250 foot mountain trail.

She stopped 4 times, she rested and after that stopped 5 times.

She walked the same distance between each stop.

It means 5 stops and the same distance with each time.

We need to calculate the distance between each stop. Total distance T = 2250 ft, and stops S = 5.

We can isolate the distance of each Stop E from:

T = S*E

E = T/S = (2250 ft)/(5)

E = 450 ft.

Finally, She hiked 450 ft before the first stop. 

Mia hiked 450 feet before the first stop.

What is the distance?

Distance is defined as the product of speed and time.

What are Arithmetic operations?

Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.

The operator that performs the arithmetic operations is called the arithmetic operator.

* Multiplication operation: Multiplies values on either side of the operator

For example 4*2 = 8

/ Division operation: Divides left-hand operand by right-hand operand

For example 4/2 = 2

Given that Mia hiked along a 2250-foot mountain trail.

She stopped 4 times along the way to rest and then a fifth time at the end of the trail,

And she walked the same distance between each stop.

It indicates 5 stops with a constant distance between them.

To determine the distance between each stop.

Total distance D = 2250 ft, and stops X = 5.

Each Stop Y's separation from the other can be determined.:

⇒ D = X×Y

⇒ Y = D/X

Substitute the value of D and X in the above equation,

⇒ Y = (2250 feet)/5

Divided by 5

⇒ Y = 450 feet.

Hence, Mia hiked 450 feet before the first stop.

Learn more about the distance here:

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how to solve for x for a parallelogram

Answers

Answer:

11) 11x-10

x=10

Step-by-step explanation:

SPEED RUN

9x*2 + 16y*2 - 108x -64y - 188 = 0

Answers

what are you trying to find? y or x?

Day Temperature
1 13
2 15
3 22
4 12
5 22
6 18
7 18
8 22
9 11
10 13
11 20
12 21

You record the temperature for 12 days. Which number summarizes all of the data with a single number?
A) 4.2
B) 11
C) 16
D) 17.25

Answers

Answer:

D) 17.25

Step-by-step explanation:

If you want to summarize all the data points with a single number you want a measure of center such as mean. The mean for the data set is 17.25. All the others represent a measure of spread.

Answer:

17.25

Step-by-step explanation:

PLEASE HELP I WILL GIVE BRAINLIEST TO WHO ANSWERS these two parts correctly

Answers

A) Should be just 40,950/42 = 975 seats in each section

B) 975/39 = 25

There are 25 seats in a row
There are 25 seats Hope this helps

To determine the diameter of the sun, an astronomer might sight with a transit (a devise used by surveyors for measuring angles), first to one edge of the sun and then to the other, finding that the included angle equals 32 minutes (32'). Assuming that the distance from the Earth to the sun is 92,919,800 miles, calculate the diameter of the sun.

Answers

This will help explain it to you!

Final answer:

The astronomer calculates the diameter of the Sun using trigonometry and the given angle and distance, arriving at an approximate value of 1,727,804 miles which is a reasonable estimate when compared to the actual diameter of the Sun.

Explanation:

To calculate the diameter of the Sun, the astronomer uses the given angular size and the distance from the Earth to the Sun. Since we have the angle of 32 minutes (which is about 0.533° when converted to degrees), we can set up the following relationship using trigonometry:

diameter of the Sun = 2 × (distance to the Sun) × tan(½ × angular size in radians)

Let's convert the angular size from minutes to degrees and then to radians:

32 minutes = 32' / 60 = 0.533°

To convert degrees to radians, we use the fact that 180° is equivalent to π radians:

0.533° × (π radians / 180°) = 0.0093 radians

Now, we can use the distance to the Sun which is given as 92,919,800 miles and apply the formula:

diameter of the Sun = 2 × 92,919,800 miles × tan(0.0093 radians)

Performing the calculation:

diameter of the Sun ≈ 2 × 92,919,800 × 0.0093

diameter of the Sun ≈ 1,727,804 miles

This is an approximation because the angular size varies slightly due to the elliptical orbit of Earth. Comparing to the actual diameter of the Sun, which is about 1.39 million kilometers (or about 864,000 miles), we can see that our calculated value is a reasonable estimate, keeping in mind that trigonometric calculations rely on a circular orbit assumption and ideal conditions.

Write equation that describes the function

Answers

The equation that describes the function is f(x) = -x + 1

Function:A function is just a relationship between an input and an output values.

The table represents a linear function. Therefore, let's use slope formula to

write the equation;

y = mx + b

where

m = slope

b = y-intercept

m = -2 - 0 / 3 - 1 = - 2 / 2 = -1

y = -x + b

let's find b using (1, 0)

0 = -1 + b

b = 1

Therefore,

y = -x + 1

The function can be written as f(x) = -x + 1

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Which equation correctly applies the distributive property? ​ −1.5⋅(6⋅1.25)=(−1.5⋅6)⋅1.25 ​ ​ 70+2.028=(70⋅2)+(70⋅0.02)+(70⋅0.008) ​ ​ (0.7⋅0.7)+(0.7⋅0.9)+(0.7⋅0.2)=0.7⋅(0.7+0.9+0.2) ​ ​−2.5⋅0.6⋅5.8=−2.5⋅5.8⋅0.6​

Answers

The answer would be -1.5*(6*1.25), I Hope this helps . :-)

Can someone help with numbers 15 and 16

Answers

15.

I had x before the movie.

x - 13.50 = 26.50

Add 13.50 to both sides of the equation:

x = 40

I had $40 before the movie.

16.

The original balance was x.

x - 161.15 = 423.28

Add 161.15 to both sides:

x = 584.43

The previous balance was $584.43

How is the sentence "10 more than P is -3" written as an equation

p-3=10
P+10=-3
P+10=3
P=10-3

Answers

The answer is the second one: P + 10 = -3

The correct expression is P + 10 = -3

We have a sentence - "10 more than P is -3".

We have to determine the expression that represents the sentence.

Express the statement - "The difference of x and y is equal to n" in the form of expression.

The expression representing the above statement is -

n = x - y

According to the question, we have -

10 more than P is -3

We can write it as a expression -

P + 10 = -3

Hence, the correct expression is P + 10 = -3

To solve more questions on Expression modelling, visit the link below-

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To start the school year, a teacher spends $54.35 in school supplies for her classroom. During the course of the year, she will restock her supplies and will spend $22 each time she restocks the supplies. The expression below describes this situation.

22x+54.35

In this expression, what does the term 22x describe?

A. the amount she spends restocking her supplies

B. the total amount she spends money on restocking her supplies

C. the number of times she restocks her supplies

D. the amount she originally spends on supplies

Answers

A. the amount she spends restocking her supplies

Answer: B. the total amount she spends money on restocking her supplies

Step-by-step explanation:

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

During the course of the year, she will restock her supplies and will spend $22 each time she restocks the supplies

22x+54.35

SO, the term 22x equals to $22 multiplied by the times she restocks the supplies. For example: if she restocks the supplies 5 times, the total amount will be:

22 (5)+ 54.35

So, the term 22x describes the total amount she spends money on restocking her supplies. option B

Carmella sells homemade pies for $10 a pie. It costs $2 for the ingredients to bake each pie. Carmella bought a new oven for $600. How many pies must Carmella bake and sell before she recovers the cost of the oven?

Answers

I think what you would have to do is 12 divided by 600 that would equal 50 so im pretty sure she would have to bake and sell 50 pies to recover the cost of the oven

the steps i did were 
1. i added 10 and 2 to get 12
2. i divided 12 into 600 
3. then i got the answer 50

so that's how i found out the total of pies she needed to sell i hope this worked for you.

She must make 60 pies because 60times 10 is 600

Subtract. 125−(−35) Enter your answer, in simplest form, in the box.

Answers

Answer:

The answer is 2 actually, this is a fraction question.

Step-by-step explanation:

When we subtract 125−(−35)  the result will be 160.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The given expression is 125−(−35)

Subtraction is an operation that represents removal of objects from a collection.

Minus is the operator of subtraction.

One hundred twenty five minus of minus thirty five.

We know that when minus is multiplied with minus operator the result will be positive.

So 125+35

When one hundred twenty five is added with thirty five the result will be one hundred sixty

160

Hence, when we subtract 125−(−35)  the result will be 160.

To learn more on Equation:

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what percent of 32 is 4

Answers

So we just want to say, 4/32. 

To find the percent, just divide.

4/32 -> 1/8 -> 0.125

Now, 0.125 as a percent is: 

12.5%

Abebe is saving money from work and his Mom will give him an extra
1919
of whatever he saves. If Alejandro saves $23, how much will his mom give him?
$5.26
$2.56
$5.11
$6.52

Answers

Final answer:

Abebe's mom will give him ¼ of whatever he saves. If Abebe saves $23, his mom will give him 0.25 times $23, which is $5.75.

Explanation:

The question asks how much money Abebe's mom will give him if she gives ¼ of whatever he saves, and he saves $23. To find out how much his mom will give him, we must calculate ¼ of $23.

If Abebe saves $23, and his Mom will give him an extra $19.19 of whatever he saves, you can calculate the total amount he will have as follows:

Total amount = Savings + Mom's extra contribution

             = $23 + $19.19

             = $42.19

Therefore, Abebe will have a total of $42.19. None of the provided options ($5.26, $2.56, $5.11, $6.52) match this amount. It seems there might be an error in the answer choices or the problem statement. Please double-check the values or context provided.

Step 1: Convert the fraction ¼ to a decimal by dividing the numerator (1) by the denominator (4), which is 0.25.

Step 2: Multiply the decimal equivalent of ¼ (0.25) by the amount saved by Abebe ($23).

Step 3: Perform the calculation: 0.25 × $23 = $5.75.

Therefore, Abebe's mom will give him $5.75.

Final answer:

Abebe's mom will give him 19% of $23, which is calculated by multiplying 0.19 by $23, resulting in $4.37.

Explanation:

The subject of the question is Mathematics, specifically it deals with a percentage problem that involves finding what fraction of an amount will be added to it. To find out how much money Abebe's mom will give him based on the extra 19% of whatever he saves, we simply need to calculate 19% of $23. The calculation is as follows:

Convert the percentage to a decimal: 19% = 0.19.

Multiply this decimal by the amount saved: 0.19 × $23 = $4.37.

Therefore, Abebe's mom will give him an additional $4.37.

33.2g of sugar is needed to make 4 cakes. How much sugar is needed for 6 cakes?

Answers

33.2g/4 cakes = 8.3g/cake

8.3g*6 cakes = 49.8grams

Answer:

49.8 grams.

Step-by-step explanation:

We have been given that 33.2 g of sugar is needed to make 4 cakes.

First of all, we will find quantity of sugar needed to make one cake as:

[tex]\text{Sugar needed to make one cake}=\frac{33.2\text{ gm}}{4}[/tex]

[tex]\text{Sugar needed to make one cake}=8.3\text{ gm}[/tex]

To find quantity of sugar needed to make 6 cakes, we will multiply 6 by 8.3 grams.

[tex]\text{Sugar needed to make 6 cakes}=6\times 8.3\text{ gm}[/tex]

[tex]\text{Sugar needed to make 6 cakes}=49.8\text{ gm}[/tex]

Therefore, 49.8 grams of sugar is needed for 6 cakes.

Tito walked three more miles than Danielle. If Danielle walked 2 miles, how many miles did Tito walk?

Answers

Answer:

What you need to do, is take Tito's amount of miles, and and add it to Danielle's amount of miles, to get how many miles Tito walked.  Which is 3+2=5 miles, so Tito walked 5 miles.

Webster Digital received a promissory note of $8,000 for 9 months at 7% simple interest from one of its customers. After 4 months, the note was discounted at Bank of Aventura at a discount rate of 10%. What are the proceeds Webster Digital will receive from the discounted note? (Round to the nearest cent)

Answers

Maturity value is given by

[tex]FV=P(1+rt)[/tex]

where: P is the initial value of the promissory note, r is the simple interest rate, and t is the time period (in years).

Given that Webster Digital received a promissory note of $8,000 for 9 months at 7% simple interest from one of its customers.

P = &8,000; t = 9 months = 9 / 12 = 0.75 years; r = 7% = 0.07

[tex]FV=8000(1+(0.07\times0.75)) \\ \\ =8000(1+0.0525)=8000(1.0525) \\ \\ =\$8,420[/tex]

The proceed from a discounted promisory note is given by

[tex]X=FV(1-dt)[/tex]

where: FV is the maturity value of the promissory note, d is the discount rate and t is the number of years remaining from the time the note was discounted to the maturity date.

Given that after 4 months, the note was discounted at Bank of Aventura at a discount rate of 10%.

t = 9 months - 4 months = 5 months = 5 / 12 years; d = 10% = 0.1; FV = $8,420

[tex]X=8420\left(1-\left(0.1\times \frac{5}{12} \right)\right) \\ \\ =8420\left(1- \frac{1}{24} \right)=8420\left( \frac{23}{24} \right) \\ \\ =\$8,069.17[/tex]

Therefore, the proceed is $8,069.17

For what values of b does the value of the fraction 5−2b /4 belong to the interval [−2; 1]?

Answers

The easiest way to solve this is as an inequality. Here's what it's saying we have:
[tex]-2 \leq {\frac{5-2b}{4}}\leq1[/tex]

First, multiply everything by 4 to clear the denominator:
[tex]-8\leq5-2b\leq4[/tex]

Subtract 5 from both sides:
[tex]-13\leq-2b\leq-1[/tex]

In the last step, we need to divide everything by -2 which will flip both inequality signs, so we have:
[tex]\frac{13}{2}\geq b \geq \frac{1}{2}[/tex]

So b is in the interval [tex][\frac{1}{2},\frac{13}{2}][/tex].

Answer:  The required value of b lies in the interval [0.5, 6.5].

Step-by-step explanation:  We are given to find the value of b so that the following fraction belong to the interval [−2, 1] :

[tex]f=\dfrac{5-2b}{4}.[/tex]

According to the given information, we can write

[tex]-2\leq f\leq 1\\\\\Rightarrow -2\leq \dfrac{5-2b}{4}\leq1\\\\\Rightarrow -8\leq 5-2b\leq 4\\\\\Rightarrow -8-5\leq-2b\leq 4-5\\\\\Rightarrow -13\leq -2b\leq -1\\\\\Rightarrow 13\geq 2b\geq 1\\\\\Rightarrow \dfrac{13}{2}\geq b\geq \dfrac{1}{2}\\\\\Rightarrow 6.5\geq b\geq 0.50[/tex]

Thus, the required value of b lies in the interval [0.5, 6.5].

12s + 4 + 4s - 2 simplified need help with school work

Answers

16s+2 is your answer
Hey there!

Just combine your like terms [tex]12s + 4s \\ \\ and \\ 4 + (-2) \\ \\ Let's\\ Solve\\ The\\ S's:\\ 12s + 4s = 16s \\ \\ \\ \\ Now \\ Solve\\ The\\ Other\\Numbers:\\ 4 + (-2) = 2 \\ \\ \\ \\ \\ Your \\ Answer: \\ 16s + 2 [/tex]

Good luck on your assignment and enjoy your day!

~[tex]MeIsKaitlyn:)[/tex]

Joanna ran a mile in physical education class. After resting for one hour, her heart rate was 60 beats per minute. If her heart rate decreased by 2/5, what was her heart rate immediately after she ran the mile?

Answers

So, if 60 beats was decreased by 2/5 before, we know that 60 beats = 3/5 of her heart rate after she ran the mile.

(Because 1 - 2/5 = 3/5)

So, 3/5 = 60, and we're trying to find 1.

So I would first divide both sides by 3.

3/5 = 60
/3      /3

1/5 = 20

Then multiply both sides by 5.

1/5 * 5 = 20 * 5

1 = 100

So her heart rate was 100 beats per minute immediately after she ran the mile.

In if 5/7 of students are wearing jeans today and there are about 27 students in the class how many students are wearing the jeans today

Answers

Final answer:

By calculating 5/7 of 27, we find that approximately 19 students are wearing jeans today after rounding down to the nearest whole number.

Explanation:

To find out how many students are wearing jeans, we need to calculate 5/7 of the 27 students in the class.

First, we determine the value of one seventh of the class by dividing the total number of students by 7:

27 ÷ 7 = 3.8571 (we can round this to 3.86 for simplicity)

Next, we multiply this result by 5 to find five sevenths:

3.86 × 5 = 19.3

Since we cannot have a fraction of a student, we round down to the nearest whole number. Therefore, approximately 19 students are wearing jeans today.

It's important to understand and apply fractions and division to solve such mathematical problems. This example showcases the practical application of these concepts.

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