express 0.003597 to three significant figures​

Answers

Answer 1

Answer:

0.00360.

Step-by-step explanation:

Leading zeros in a number are not significant, so your number has four significant figures.

You must drop the 7 from 0.003597.

Since 7 is greater than 5, you must add 1 to the 9

[tex]\begin{array}{r|l}1& \\0.00359 &\text{7}\!\!\!\!\diagup \\\mathbf{0.00360} & \\\end{array}[/tex]

Answer 2

Final answer:

To express 0.003597 to three significant figures, round to 0.00360; in exponential notation, this is 3.60 × 10^-3.

Explanation:

To express 0.003597 to three significant figures, we identify the first non-zero digit as the starting point of significant figures.

We count three digits from there, which gives us 0.00360 when rounding up the seventh which is in the fourth place after the decimal. In exponential notation, this would be 3.60 × 10-3.


Related Questions

If Lin wants to save 75$ for a trip to the city and has already saved 37.50 so far what percentage of her goal has she saved

Answers

Answer:

50%

Step-by-step explanation:

Let X be the % of total that she has saved

X/100 x 75 = 37.50

75X = 37.50 x 100

X = 37.50 x 100 / 75

= 3750/75

= 50%

f(x)=x^2. What is g(x)?

Answers

Answer:

The answer is A

Step-by-step explanation:

B (1/4x)^2 will widen the parabola

C 4x^2 is too wide to be g(x)

D (16x)^2 is too narrow to be g(x)

A is the correct answer. When graphed on desmos . com / calculator it shows this is the correct answer. I hope this helped!

Choose the fraction that goes in the blank. 5/12< _____<3/4

Answers

Answer:

All of the following fractions work: 1/2, 7/12, 8/12. There are endless possibilities.

Please mark as Brainliest! :)

Answer:

6/12 ; 7/12 ; 8/12

Step-by-step explanation:

³⁾3/4 = 9/12

5/12 < 6/12 < 7/12 < 8/12 < 9/12

Given a function described as equation y=3x+4, what is y when x is 1,2 and 3?

Answers

Answer:

x=1 y= 7

x=2 y= 10

x=3 y= 13

Step-by-step explanation:

y=3x+4

y=3(1)+4

=7

y=3(2)+4

=-10

y=3(3)+4

=13

For this case we have the following equation:

[tex]y = 3x + 4[/tex]

We must find the value of the variable y when the variable x takes certain values.

For [tex]x = 1:[/tex]

[tex]y = 3 (1) +4\\y = 3 + 4\\y = 7[/tex]

For [tex]x = 2:[/tex]

[tex]y = 3 (2) +4\\y = 6 + 4\\y = 10[/tex]

For [tex]x = 3:[/tex]

[tex]y = 3 (3) +4\\y = 9 + 4\\y = 13[/tex]

Thus, the values of y are 7,10,13 respectively.

Answer:

[tex]y = 7\\y = 10\\y = 13[/tex]

(Easy) help please **attachment**

Answers

Answer:

Step-by-step explanation:

Supplementary: ADC

Complementary: AC

Adjacent: ABC

Hope this helps.

2/3x=6 what does x equal

Answers

Answer:

1

Step-by-step explanation:

You need to do the opposite of multiplying which is dividing so divide 6/3= 2 then you divide 2/2 which is 1

Simplify this algebraic expression completely.
5y- 3(y + 2)

Answers

Distributive property: 5y-3y-6

Combine like terms: 2y-6

So there's your answer

Final answer:

To simplify the given expression, distribute the -3 to both terms inside the parentheses, then combine like terms.

Explanation:

To simplify the expression 5y - 3(y + 2), we need to follow the order of operations, which is parentheses first, then multiplication and division, and finally addition and subtraction.

First, distribute the -3 to both terms inside the parentheses:

5y - 3 * y - 3 * 2

Now, simplify each term:

5y - 3y - 6

Combine like terms:

2y - 6

This is the simplified form of the given expression.

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Suppose θ is an angle in the standard position whose terminal side is in Quadrant IV and cotθ= -2/17 . Find the exact values of the five remaining trigonometric functions of θ.

Answers

Final answer:

Given an angle θ in Quadrant IV with cotθ = -2/17, a right triangle is formed. Using the Pythagorean theorem, the hypotenuse is calculated, and the five additional trigonometric functions of θ are determined with appropriate signs for Quadrant IV.

Explanation:

If θ is an angle in the standard position whose terminal side is in Quadrant IV and cotθ = -2/17, we can find the five remaining trigonometric functions.

The cotangent of an angle θ, which is the reciprocal of the tangent, tells us that the tangent of θ is -17/2. Since the angle is in Quadrant IV, where cosine and secant are positive but sine and cosecant are negative, we can form a right triangle within the coordinate plane to represent this scenario. In this triangle, the adjacent side (x) to the angle θ will be positive, and the opposite side (y) will be negative.

Using the Pythagorean theorem, if we assume the adjacent side to be 17 (because cotθ = adjacent/opposite), and the opposite side to be -2 (to make cotθ = 17/(-2) = -2/17), the hypotenuse (r) can be calculated as:

√(17² + (-2)²) = √(289 + 4) = √293

Now we can find the other five trigonometric functions:

Sinθ = opposite/hypotenuse = -2/√293Cosθ = adjacent/hypotenuse = 17/√293Tanθ = opposite/adjacent = -2/17 (which was given)Cscθ = hypotenuse/opposite = -√293/2Secθ = hypotenuse/adjacent = √293/17

The signs of these values are consistent with the properties of trigonometric functions in the fourth quadrant.

What is the equation of the line passing through the point (-3,1) that is perpendicular to the line 2x+y=0

Answers

Answer:

look at the picture shown

Write 5/10 in 3 equivalent forms

Answers

5/10 in 3 equivalent forms is: 1/2 2/4 4/8

Answer:

0.5 50/100 0.50

Step-by-step explanation:

A function is defined as {(0, 1), (2, 3), (5, 8), (7, 2)}. Isaac is asked to create one more ordered pair for the function. Which ordered pair can he add to the set to keep it a function? (1) (0, 2) (4) (1, 3) (3) (7, 0) (2) (5, 3)

Answers

Answer:

2

Step-by-step explanation:

Totsakan's school is selling tickets to a spring musical. On the first day of ticket sales the school sold 1 adult tickets and 8 child tickets for a total of $117. The school took in $182 on the second day by selling 6 adult tickets and 8 child tickets. Find the price of an adult ticket and the price of a child ticket.

Answers

Answer:

Each ticket cost $13

Step-by-step explanation:

Day 1-- 1 adult and 8 child ticket= Total of 9 tickets = $117

Day 2--6 adult and 8 child ticket= Total of 14 = $182

Brainliest please :)

let h represent Mark’s height in inches. Suzanne is 7 inches shorter than mark. Write an algebraic expression that represents Suzanne’s height in inches.

Answers

Answer

h-7

Step-by-step explanation:

ida goes to the store to buy groceries. To pay for the groceries, she slides the card through a card reader and puts in a special code. Which payment method is this?

Answers

Answer:

Credit Card

Step-by-step explanation:

This is most likely a credit card.

You only need to put a special code in when you're inputting a credit cards pin number.

it is c my dudes yes hes yes

cos^2x+sin^2x/cot^2x-csc^2x

Answers

[tex]\frac{cos^2x + sin^2x}{cot^2x - cosec^2x} = -1[/tex]

Solution:

Given trignometric expression is:

[tex]\frac{cos^2x + sin^2x}{cot^2x - cosec^2x}[/tex]

We have to evaluate the above expression

Let us use the trignometric identities

[tex]sin^2x + cos^2x = 1[/tex]

Also, use another trignometric identitiy

[tex]1 + cot^2x = cosec^2x[/tex]

Therefore, upon rearranging we get,

[tex]cot^2 x -cosec^x = -1[/tex]

Apply these two identities in given expression

[tex]\frac{cos^2x + sin^2x}{cot^2x - cosec^2x} = \frac{1}{-1}\\\\\frac{cos^2x + sin^2x}{cot^2x - cosec^2x} = -1[/tex]

Thus value of given expression is -1

Match the expression with corresponding x- and y- values so that all three expressions are equivalent to one another.

Answers

Answer:

x = 4, y = 1---->7(4)(1) - 3 = 28 - 3 = 25

x = 1, y = 6---->1 + 4(6) = 25

x = 1, y = 3---->(1 + 3 + 1)² = 5² = 25

Claire is buying a new bicycle for $295. If the
sales tax is 4.75%, what will she pay in total?

Answers

Answer:

$309.01

Step-by-step explanation:

To calculate tax, you need to turn the percent to a decimal.  This is done by moving the decimal point two spaces to the left, adding zeros and needed.

4.75% = 0.0475

Now take the price of the bike, 295, and multiply it by 0.0475.

295 x 0.0475 = 14.0125

All you need are the first two numbers after the decimal point since you are dealing with money.

Add the product, 14.01, to the price of the bike, 295, and you have your answer.

$309.01

Hope this helps.

Answer:

309.01

Step-by-step explanation:


5x
4x - 8
Find the value of x.
68 + x
x= 30°
x = 10.4°
x = 12°
x = 24°

Answers

Answer:

x = 12

Step-by-step explanation:

A graduated cylinder is filled with 36 cm 3 of liquid the liquid is poured into a different cylinder that has a radius of 3cm , what will the height of the liquid be in the new cylinder ?

Answers

The height of the liquid in the new cylinder is about 1.72 cm

Step-by-step explanation:

The formula of the volume of a cylinder is V = πr²h, where

r is the radius of the base of the cylinderh is the height of the cylinder

∵ The volume of the liquid = 36 cm³

∵ The liquid is poured into another cylinder with radius 3 cm

∵ The radius of the base = 3 cm

- To find the height of the liquid in the new cylinder equate the rule

   of the volume by 36

∵ V = πr²h

∴ π(3)²h = 36

∴ 9πh = 36

- Divide both sides by 9π

∴ h = 1.273239545

The height of the liquid in the new cylinder is about 1.72 cm

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PLEASE HELP QUICK!!!! I WILL GIVE YOU BRAINLIEST!!!

What is the vertex of the function: f(x) = x² + 12x ? Please explain.

(–6, 0)

(-6, -36)

(6, 0)

(6, –36)

Answers

The vertex of the function is (-6,-36).

Step-by-step explanation:

f(x) = x²+ 12x

From the above function, we can find the x- coordinate of the vertex as,

x = -b/2a

Here a = 1, b = 12

Plugin the values as,

x = -12 /(2×1) = -6

Now plug in the x value in the above function, we will get y as,

f(x) = y = x² + 12x = (-6)² + 12(-6)

                           = 36-72 = -36

So the vertex is (-6, -36).

find the next 3 terms in the sequence:30,22,14,6
A.-3,-12,-21
B.-1,-8,-15
C.-1,-2,3
D.-2,-10,-18

Answers

Answer:

D

Step-by-step explanation:

Note the difference between consecutive terms is constant, that is

22 - 30 = - 8

14 - 22 = - 8

6 - 14 = - 8

To obtain a term in the sequence subtract 8 from the previous term, thus

6 - 8 = - 2

- 2 - 8 = - 10

- 10 - 8 = - 18

The next 3 terms in the sequence are - 2, - 10, - 18 → D

What scenario below represents 85% earning 56 out of 70 points on a test are you 78 out of 90 points on a test earning 102 out of 120 points on a test​

Answers

Answer:

The scenario that represents a 85% of success on a test is C. 102 out of 120 points

Step-by-step explanation:

Let's analyze which of the scenarios given, represent a 85% of success on a test, this way:

Scenario A:

56 out of 70 points = 56/70 = 0.8

This scenario represents a 80% of success

Scenario B:

78 out of 90 points = 78/90 = 0.867

This scenario represents a 86.7% of success

Scenario C:

102 out of 120 points = 102/120 = 0.85

This scenario represents a 85% of success

suppose you borrowed $112,500 at 5 1/2 % interest on June 10 for 72 days. your bank uses the exact interest method. Determine the amount of interest on the loan?

Answers

Answer:

used an interest calculator

Find slope-intercept of a line going through (-5,-5) with the slope 2/5

Answers

Answer:

y=2/5x-3

Step-by-step explanation:

y-y1=m(x-x1)

y-(-5)=2/5(x-(-5))

y+5=2/5(x+5)

y=2/5x+2-5

y=2/5x-3

a jet travels 520 miles in 5 hours at this rate how far could the jet fly in 11 hours what is the rate of speed of the jet

Answers

The rate of speed of jet is 104 miles per hour

The jet could cover 1144 miles in 11 hours

Solution:

Given that,

A jet travels 520 miles in 5 hours

Find the miles traveled in 1 hour ( speed in miles per hour)

[tex]speed = \frac{distance}{time}[/tex]

[tex]Speed = \frac{520}{5}\\\\Speed = 104\ miles\ per\ hour[/tex]

How far could the jet fly in 11 hours

Time = 11 hours

Speed = 104 miles per hour

[tex]Distance = speed \times time\\\\Distance = 104 \times 11\\\\Distance = 1144[/tex]

Thus the jet could cover 1144 miles in 11 hours

the length of a rectangle is 3 yards more than twice the width x the area is 629 yd.²

Answers

Answer:

The length is 37yd

The width is 17yd

Step-by-step explanation: please see attachment for explanation

Find the LCM of 91, 143 and 169​

Answers

Answer:

13013

Step-by-step explanation:

Express each number in terms of the product of prime numbers.

91 = 7 × 13

143 = 11 × 13

169 = 13 × 13

Now consider the maximum number of times each factor occurs for each number.

The factor 7 occurs once

The factor 11 occurs once

The factor 13 is repeated twice ( maximum number of times for 1 number )

Thus LCM = 7 × 11 × 13 × 13 = 13013

91 = 7×13

143 = 11×13

169 = 13²

LCM = 7×11×13² = 77×169 = 13013

If it is 8:50 a.m., what will the time be 4 hours and 20 minutes later?

Answers

Answer:

1:10 pm

Step-by-step explanation:

60 minutes in an hour, so

8:50am + 4 hours = 12:50pm

12:50pm + 20 minutes = 1:10pm

I’ve been stuck on this question for a while someone please help me

Answers

A) Equation: f = 2.75p

B) 38.5 cups of flour are needed to make 14 pound cakes

Step-by-step explanation:

A)

The table shows the following data:

Pound cakes, p  3 6 9

Cups of flour, f 8.25 16.5 24.75

From the table, we notice that the increase in cups of flour needed per increase in pound cakes is:

[tex]m=\frac{16.5-8.25}{6-3}=\frac{8.25}{3}=2.75[/tex]

This means that for each additional pound  cake, we need 8.25 more cups of flour.

This is a direct relationship between the two variables, therefore we can write their relationship using the equation:

[tex]f=2.75 p[/tex]

B)

Now we can complete the table.

We have to found how many cups of flour are needed when the number of pound cakes is

p = 14

In order to do that, we use the equation found in part A):

f = 2.75p

And substituting p = 14 into the equation, we find

f = (2.75)(14)= 38.5

Which means that 38.5 cups of flour are needed to make 14 pound cakes.

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At a given time of day , the ratio of the height of an object to the length of its shadow is the same for all objects. If a 4-ft stick in the ground casts a shadow of 2.4 ft, find the height of a tree that casts of shadow that is 23.04ft.

Answers

Answer:

  38.40 ft

Step-by-step explanation:

The problem statement tells you the proportion is ...

  height/shadow = (4 ft)/(2.4 ft) = (tree height)/(23.04 ft)

Multiplying by 23.04 ft, we find ...

  tree height = (23.04 ft)(4/2.4) = 38.40 ft

The height of the tree is 38.40 ft.

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