Katerina needs 200 balloons fillied with helium for a party. She knows that each balloon will need 0.7ft^3 of helium. the helium canisters hold 0.20m^3. 1m^3 = 35ft^3. How many Canisters will Katerina need to buy?

Answers

Answer 1
Answer:   20

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

Explanation:

1 balloon = 0.7 ft^3 of helium

200 balloons = 200*0.7 = 140 ft^3 of helium

Katerina needs 140 cubic feet of helium to fill all 200 balloons.

---------------

1m^3 = 35ft^3 which is approximate

0.2 m^3 = 0.2*35 = 7 ft^3

Each canister holds approximately 7 cubic feet of helium.

----------------

To summarize so far.

Katerina needs 140 cubic feet of helium.Each canister holds approximately 7 cubic feet of helium.

Let x be the number of canisters. Because of fact 2 mentioned above, 7x represents the total amount of helium from all of the x number of canisters.

Set this equal to the amount she needs (140) and solve for x.

7x = 140

x = 140/7

x = 20

Katerina needs 20 canisters.


Related Questions

8z = 4x - 32

Please explain step by step

Answers

The solution to the equation 8z = 4x - 32 is z = -4 and x = 8.

What is equation?

An equation is a mathematical statement that states that two expressions are equal. It consists of an equals sign and two expressions, one on each side of the equals sign. Equations are used to solve for the value of the unknown expressions, and can be used to solve problems in various fields such as physics, chemistry, engineering, and mathematics.

1. Start by isolating the z variable by subtracting 4x from both sides of the equation. This will give us: 8z = -32.
2. Divide both sides of the equation by 8. This will give us: z = -4.
3. Finally, substitute z = -4 into the original equation and solve for x. This will give us: 4x = 32, so x = 8.

Therefore, the solution to the equation 8z = 4x - 32 is z = -4 and x = 8.
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Complete questions as follows-
8z = 4x - 32
Please explain step by step how to solve 8z = 4x - 32.

what is the closest estimate of x where f(x) = g(x)?

Answers

Using Desmos to graph and see where the two functions cross(which is where f(x)=g(x)). We get,
x≈1.6

Solve on the interval [0, 2pi): 4csc x +6=-2

Answers

By solving the interval  : [0,2pi] 4 csc x +6=-2 is  7pi/6 , 11pi/6

What are Trigonometric identities?Trigonometric identities are equality conditions in trigonometry that hold for all values of the variables that appear and are defined on both sides of the equivalence. These are identities that, geometrically speaking, involve certain functions of one or more angles. defining sine and cosine in terms of tangent, cotangent, secant, and cosecant interactions. The sine and cosine formula according to Pythagoras. This trig identity is arguably the most significant.

[tex]& 4 \csc x+6=-2 \\[/tex]

[tex]& 4 \csc x=-8 \\[/tex]

Simplifying,

[tex]& \csc x=-2 \\[/tex]

[tex]& \frac{1}{\sin x}=-2 \\[/tex]

[tex]& \sin x=-\frac{1}{2} \\[/tex]

We get,

[tex]& x=\frac{7 \pi}{6}, \frac{11 \pi}{6}[/tex]

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To make a batch of salad dressing, combine 11 tablespoons of
oil with 22 tablespoons of vinegar. How many tablespoons of
vinegar are needed for every tablespoon of oil?

Answers

You need 2 tablespoons of vinegar for every 1 tablespoon of oil.

What are a ratio and proportions?

A ratio is a way of comparing two or more values by division. A ratio expresses a relationship between two or more quantities. It is a comparison of one quantity to another. For example, the ratio of 3:2, 3 is being compared to 2.

A proportion is an equation that states that two ratios are equal. It can be written as:

a/b = c/d or a:b = c:d, where a,b,c,d are numerical values.

The ratio of tablespoons of vinegar to tablespoons of oil in the salad dressing is given by the ratio of the number of tablespoons of vinegar to the number of tablespoons of oil.

In this case, the ratio is 22 tablespoons of vinegar to 11 tablespoons of oil, or 22/11.

You can simplify this ratio by dividing both numerator and denominator by their greatest common divisor, that is 11

So the ratio of tablespoons of vinegar to tablespoons of oil is 2:1

Another way to express this is that for every 1 tablespoon of oil, 2 tablespoons of vinegar are needed.

So, If you want to know how many tablespoons of vinegar are needed for every tablespoon of oil you can use the proportion:

vinegar/oil = 22/11 = 2/1

Hence, you need 2 tablespoons of vinegar for every 1 tablespoon of oil.

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Is this a polynomial? 3x^-2-5

Answers

On solving the provided question, we can say that - the value of the following polynomial will be 3x^2 = 5 => x^2 = 5/3

what are polynomials?

A polynomial is a mathematical statement made up of coefficients and uncertainty that exclusively uses additions, subtractions, multiplications, and positive integer powers of variables. A single indeterminate x polynomial is represented by the expression x2 4x + 7. A polynomial is an expression in mathematics that consists of variables (sometimes referred to as indeterminates) and coefficients that may be added, subtracted, multiplied, and raised to negative integer powers of non-variables. A polynomial is an algebraic expression made up of coefficients and variables. The only operations that an expression can contain are addition, subtraction, multiplication, and non-negative integer exponents. These expressions are known as polynomials.

here,

[tex]3x^{-2}-5[/tex]

3x^2 = 5

x^2 = 5/3

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Which graph represents the solution to the following inequality? 3x - 2y ≥ 6

Answers

Answer:

First, solve for two points as an equation instead of an inequality to find the boundary line for the inequality.

For:

x

=

0

(

3

0

)

+

2

y

=

6

0

+

2

y

=

6

2

y

=

6

2

y

2

=

6

2

y

=

3

or

(

0

,

3

)

For:

y

=

0

3

x

+

(

2

0

)

=

6

3

x

+

0

=

6

3

x

=

6

3

x

3

=

6

e

d

)

(

3

)

x

=

2

or

(

2

,

0

)

We can now graph the two points on the coordinate plane and draw a line through the points to mark the boundary of the inequality.

graph{(x^2+(y-3)^2-0.125)((x-2)^2+ y^2-0.125)(3x+2y-6)=0 [-20, 20, -10, 10]}

Now, we can shade the left side of the line. And we need to make the boundary line a dashed line because the inequality operator does not contain an "or equal to" clause.

graph{(3x+2y-6) < 0 [-20, 20, -10, 10]}

Step-by-step explanation:

XYZ Company
Balance Sheet
Assets
Cash
$45,000
Inventory $41,000
Property $134,000
Total Assets:
Liabilities
Notes
Wages
Equity
Stock
$55,000
$56,000
$50,000
Investment $59,000
Total Liabilities + Equity:
Using the balance
sheet, calculate XYZ
Company's total
assets - liabilities.
Total Assets - Liabilities = $ [?]
Enter
PH
Skip

Answers

Total Liabilities  + Equity = $220,000.

Total Assets = $220,000.

What is Ratio Analysis and Balance Sheet?

The relationship between the two separate components is established through ratio analysis. Utilizing figures from the income statement, balance sheet, statement of cash flows, and other financial statements, it is used to assess the company's financial performance.

One of a company's financial statements that is created at the end of the year is the balance sheet. It establishes the balance of a company's assets, liabilities, and stockholder equity at the end of the fiscal year.

Here we are given in the Question,

Assets

Cash = $45,000

Inventory = $41,000

Property = $134,000

Liabilities

Notes  = $55,000

Wages  = $56,000

and

Equity

Stock = $50,000

Investment = $59,000

Total Liabilities  + Equity = ( Notes + wages ) + (stock + Investment)

Total Liabilities  + Equity = ( $55,000 + $56,000) + ($50,000 + $59,000)

Total Liabilities  + Equity = $220,000.

Total Assets = Cash + Inventory + Property

Total Assets = $45,000 + $41,000 + $134,000

Total Assets = $220,000

Therefore,

Total Liabilities  + Equity = Total Assets.

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I'm not sure what I did wrong here, I only have one try at this question, please help!

Answers

Answers
Corresponding
Congruent
47
180
75
Alternate interior angle
Congruent
75
180
180

Most of it is correct, but your addition of angles 58 and 47 = 105. 180 - 105 = 75.

You need to correct that in two places.
It is 75, NOT 85.
See my attachment for corrections.

You give tours on the Great Lakes and talk about points of interest. A lighthouse typically has 2 beacons that rotate together but not necessarily facing opposite directions. In that way, it can be a shorter time between the first and second flashes than between the second flash and the third flash
(when the first beacon comes around for the second time). One way of identifying which lighthouse you are looking at is to find the ratio of the short time between flashes to the long time between flashes. If the beacons are set 120 degrees apart along the rotation, ash shown below, what is this ratio?

Answers

The required ratio is 1:2.

What is ratio?

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other.

Given that, A lighthouse typically has 2 beacons that rotate together but not necessarily facing opposite directions, it can be a shorter time between the first and second flashes than between the second flash and the third flash,  One way of identifying which lighthouse you are looking at is to find the ratio of the short time between flashes to the long time between flashes. The beacons are set 120 degrees apart along the rotation

If the second beacon is 120° after the first, then the first is 360° -120° = 240° after the second.

Therefore, the ratio of the times between beacons is =

120° : 240° = 1 : 2

Hence, the ratio is 1 : 2

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-|-5| what is the absolute value

Answers

Answer:

-5

Step-by-step explanation:

Answer: 5

Step-by-step explanation:

negative times negative equals positive

The quotient of x and 4 is at least 26

Answers

The given statement in the form of inequality is given as -

(x ÷ 4) ≥ 26.

What is inequality? Differentiate between equation and expression?  

inequality : An inequality is used to make unequal comparisons between two expressions or numbers.

expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.

equation : A mathematical equation is used to equate two expressions.

Given is the statement as -

"quotient of x and 4 is at least 26"

We can write the inequality as -

(x ÷ 4) ≥ 26

Therefore, the given statement in the form of inequality is given as -

(x ÷ 4) ≥ 26.

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SOMEONE PLEASE HELPPP

Answers

The values of the [tex]\bar x[/tex] (x-bar) (the mean) and the median of the dataset in the question are;

[tex]\bar {x}[/tex] ≈ 13.05

Median = 13.60

What is the mean and median of a dataset?

The mean and the median are descriptive statistical values that provides a description of the data that can be found in the dataset.

The mean is the average value of the data in the dataset, and the median is the middle value of the set of data arranged in an order of increasing values.

The mean is the average value of the set of data which is obtained by dividing the sum of the data points by the number of the datapoints, we get;

The number of data points = 28

The sum of the data is;  (4.7 + 12.6 + 3.6 + 16.1 + 2.3 + 28.2 + 2.2 + 16.9 + 10.7 + 19.5 + 11.4 + 27.9 + 11 + 15 + 4.2 + 15.8 + 15.9 + 17.3 + 24.9 + 10.8 + 16.4 + 7.3 + 3.2 + 14.6 + 2.6 + 8.4 + 21.2 + 20.8) = 365.5

The average is the mean is therefore; [tex]\bar x[/tex] = 365.5 ÷ 28 ≈ 13.05

The median is the value of the number in the middle when the numbers are arranged in increasing order as follows;

2.2, 2.3, 2.6, 3.2, 3.6, 4.2, 4.7, 7.3, 8.4, 10.7, 10.8, 11, 11.4, 12.6, 14.6, 15, 15.8, 15.9, 16.1, 16.4, 16.9, 17.3, 19.5, 20.8, 21.2, 24.9, 27.9, 28.2

The numbers at the middle of the set of numbers are 14th and 15th numbers, which are 12.6 and 14.6, which indicates that the median is the average of the two numbers, which is therefore;

Median = (12.6 + 14.6)/2 = 13.60

The median is 13.60

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Inga is solving 2x2 + 12x – 3 = 0. Which steps could she use to solve the quadratic equation? Select three options. 2(x2 + 6x + 9) = 3 + 18 2(x2 + 6x) = –3 2(x2 + 6x) = 3 x + 3 = Plus or minus StartRoot StartFraction 21 Over 2 EndFraction EndRoot 2(x2 + 6x + 9) = –3 + 9

Answers

Answer: To solve a quadratic equation of the form ax^2 + bx + c = 0, there are several steps that Inga could use. Here are three options:

She could complete the square to rewrite the equation in the form (x + p)^2 = q.

She could use the quadratic formula: x = (-b +/- √(b^2 - 4ac)) / (2a).

She could factor the equation to rewrite it in the form (x + r)(x + s) = 0.

Option 1: Completing the square

To complete the square, Inga could add and subtract (b/2)^2 to the equation to get:

a(x^2 + bx + (b/2)^2) - (b/2)^2 = 0

Then, she could rewrite the equation in the form:

a(x + (b/2))^2 = (b/2)^2

Option 2: Using the quadratic formula

To use the quadratic formula, Inga could substitute the values of a, b, and c into the formula to get:

x = (-12 +/- √(12^2 - 4 * 2 * -3)) / (2 * 2)

= (-12 +/- √(144 + 24)) / 4

= (-

Step-by-step explanation:

Between 2020 and 2021, the population of a city increased by 20% In 2021, the population of the city was 420 000. What was the population of the city in 2020?​

Answers

Answer:

350,000.00

Step-by-step explanation:

420,000.00 - 20% = 350,000.00
Increase percentage: 70,000.00

To show that NMQ ≈ QPN by SAS, what must be the value or x?

I need help with this please help me

Answers

Answer:

  x = 3

Step-by-step explanation:

You want to know the value of x, given that NM = 5x-1 and QP = 3x+5 in congruent triangles NMQ and QPN.

CPCTC

Corresponding parts of congruent triangles are congruent, so we have ...

  NM = QP

  5x -1 = 3x +5

  2x = 6 . . . . . . . . . . add 1-3x

  x = 3 . . . . . . . . . . divide by 2

Anthony wants to buy a CD for $400 that earns 2.5% APR and is compounded
quarterly. The CD matures in 3 years. He will be paid the interest he earns
each quarter. How much interest will Anthony have earned on this CD after
the first quarter?
A. $10.00
B. $3.25
c. $1.25
D. $2.50

Answers

Answer:i think A

Step-by-step explanation:

The angle of elevation to the top of a Building in New York is found to be 4 degrees from the ground at a
distance of 1.75 miles from the base of the building. Using this information, find the height of the building.
Round to the nearest whole number.
Your answer is
Submit Question
feet.

Answers

The height of the building can be  649.44 ft

What is angle of elevation ?

angle of elevation states that the angle which is formed between line of sight and horizontal line.

Given,  the base of the triangle is 1.75 mile. The angle opposite of the tall side, x, is 4 degrees.

height of the building is an unknown variable (x) .

tan(angle) = opposite length /adjacent length.

Opposite length is x, adjacent length is 1.75 mile, angle is 4 degrees.

tan(4º) = x / 1.75

rearrange for x

x = 1.75*tan(4º) = ~1.75*0.0699  miles.

x = ~0.123

Now to get feet, just multiply by 5,280 ft in one mile

Height of the building is 0.123 miles * 5280 ft/mile = 649.44 ft

Hence , The height of the building can be  649.44 ft .

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It took Luca 8 hours to drive 464 miles from Richmond VA to Cleveland, OH. In miles per hour, what was Luca's average trip?
-process

Answers

Luca's average trip will be 58 miles per hour.

How to calculate the speed?

Speed is the rate at which an object's location changes in a particular direction. The distance traveled on relation changes to a particular direction. The distance in relation to the time it took to travel the distance is the speed. It's a scalar quantity.

In this case, it took Luca 8 hours to drive 464 miles from Richmond VA to Cleveland, OH. In miles per hour, Luca's average trip will be:

= Distance / Time

= 464 / 8

= 58 miles per hour.

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find the area of right angle triangle whose base 9, Height 8?

Answers

Answer:38cm2

Step-by-step explanation:

The area of right angle triangle is 36 sq.cm. Whose base 9, Height 8 .

Base is 9 cm.

8 centimeters tall.

Triangle area equals 1/2 x base x height

Triangle's area is 1/2 x 9 x 8 = 36 square centimeters.

Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a shape on paper is the area that it occupies. Consider your square as being composed of smaller unit squares.

The surface inside a flat figure is measured by its area. Squares are used to measure area. To obtain the square units, multiply the length by the width.

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How do I even do thissss?

Answers

Please provide your question with a math problem in the form of an image or text.

I will say, your username is true!

Ann's car can go 210 miles on 6 gallons of gas. During a drive last weekend, Ann used 7 gallons of gas. How far did she drive?

Answers

Answer:

245 miles

Step-by-step explanation:

210 = 6 gallons

210/6 = how far you can travel with one gallon

210/6 = 35

7*35 = how far you can travel with 7 gallons

7*35 = 245

Answer:

Ann drove 245 miles during her drive last weekend.

Step-by-step explanation:

If Ann used 7 gallons of gas during her drive last weekend, we can use the car's MPG to find out how far she drove by multiplying the number of gallons used by the MPG:

7 gallons * 35 miles/gallon = 245 miles

what is the correct factorization of 33^3x39x4^11

Answers

The correct factorization of 33³ × 39 × 4¹¹ = 2²² × 3⁴ × 11³ × 13

What is factorization?

Factorization is the collecting together of the common terms of an expression so as to have it in simpler form.

How to find  the correct factorization of the expression 33³ × 39 × 4¹¹?

To find  the correct factorization of 33³ × 39 × 4¹¹, we write out each term in terms of its common factors.

so, we have that the factorization of the first term is 33³ = (3 × 11)³ = 3³ × 11³

Also, we have that the factorization of the second term is 39 = 3 × 13

Finally, we have that the factorization of the last term is 4¹¹ = (2²)¹¹ = 2²²

So, we have that 33³ × 39 × 4¹¹ = 3³ × 11³ × 3 × 13 × 2²²

= 3³ × 3 × 13 × 11³  × 2²²

= 2²² × 3⁴ × 11³ × 13  

So, the correct factorization is 2²² × 3⁴ × 11³ × 13

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A woman leaves home at 7 am and drives to New York City 200 miles away. If she averages 50 miles per hour, what time will she arrive at the city

Answers

Find time needed to drive 200 miles:

50 miles = 1 hour

1 mile = 1/50 hour

200 miles = 1/50 x 200 = 4 hours

Find time of arrival:

7:00am + 4 hours = 11am

Answer: She will arrive at 11am

Answer:

The woman will arrive at New York City at 11 am.

Step-by-step explanation:

At an average speed of 50 miles per hour, it will take the woman 4 hours to reach New York City. If she leaves at 7 am, she will arrive at 11 am. Here's the math:

200 miles / 50 miles per hour = <<200/50=4>>4 hours

7 am + 4 hours = 11 am

So the woman will arrive at New York City at 11 am.

Can someone pls help answer this asap!! I’d really appreciate it!

Answers

Answer:

124 degrees

Step-by-step explanation:

Since they are congruent the corresponding angles will be equal. There is only one obtuse in each triangle, Angles Y and N. N is measured to be 124 degrees so Y is also 124 degrees.

Ashley and Saskia each think of a number.
1 less than Ashley's number is equal to 3 lots of Saskia's number.
4 lots of Ashley's number added to Saskia's number is 95.
Using the information above, write and solve two simultaneous equations to work out Ashley's and Saskia's numbers.

Answers

Based on the the information provided above, Ashley's and Saskia's numbers are equal to 22 and 7 respectively.

How to work out Ashley's and Saskia's numbers?

In order to write a system of equations to describe this situation, we would assign variables to Ashley's number and Saskia's number respectively, and then translate the word problem into an algebraic equation as follows:

Let the variable x represent Ashley's number.Let the variable y represent Saskia's number.

Translating the word problem into an algebraic equation, we have the following:

x - 1 = 3y                   .....equation 1.

4x + y = 95              .......equation 2.

Making x the subject of formula in equation 1, we have:

x = 3y + 1      .......equation 3.

Substituting equation 3 into equation 2, we have:

4(3y + 1) + y = 95

12y + 4 + y = 95

13y = 95 - 4

13y = 91

y = 91/13

y = 7.

For the value of x, we have:

x = 3y + 1

x = 3(7) + 1

x = 21 + 1

x =22.

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What is the value of 7/8+ (-2/3) - (-4)?

Answers

The value of fraction will be;

⇒ 101/24

What is mean by Fraction?

A fraction is a part of whole number, and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called fraction. It can be written as the form of p : q, which is equivalent to p / q.

Given that;

The expression is,

⇒ 7/8+ (-2/3) - (-4)

Now,

Since, The expression is,

⇒ 7/8+ (-2/3) - (-4)

Simplify as;

⇒ 7/8 - 2/3 + 4

⇒ (21 - 16)/24 + 4

⇒ 5/24 + 4

⇒ (5 + 96) / 24

⇒ 101/24

Thus, The solution is,

⇒ 101/24

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Determine the value of x.

A) 2√3 B) 6√3 C) 12 D) 12√3

Answers

As the value of tan90 is undefined so

Sin60=6/hyperbola

•hyperbola=6/sin60
•hyperbola=4 √3

Now,
We know,

Hyperbola^2= Base ^2 +Perpendicular ^2
•Base(x)= √(Hyperbola^2-Perpendicular ^2)
•Base(x)=2√3

So Value of X is 2√3 (Ans.)

Correct Option: A) 2√3

Nevaeh has $0.80 worth of nickels and dimes. She has a total of 11 nickels and dimes altogether. Graphically solve a system of equations in order to determine the number of nickels, x,x, and the number of dimes, y,y, that Nevaeh has.

Answers

Nevaeh has 6 nickels n 5 dimes

Write the expression as a decimal number 2 x 0.1 + 5 x 0.001 =

Answers

The measure of decimal number is 2 tenths + 5 thousandths is 0.205.

What is expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows:

Expression: (Math Operator, Number/Variable, Math Operator)

Given expression

2 x 0.1 + 5 x 0.001

the expanded form is 2 tenths + 5 thousandths

= 2/10 + 5/1000

multiply and divide by 100 in 2/10

we get 200/1000

now 200/1000 + 5/1000 = 205/1000 = 0.205

Hence value of expression is 0.205.

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17v = 62 (exponential equations with logarithms, solve)

Answers

Therefore v = log(62) / log(17) is the solution for v, the unknown variable in the equation.

Define log(Logarithm).

The logarithm is exponentiation's opposite function in mathematics. This indicates that the exponent to which b must be increased in order to obtain a number x is the logarithm of x to the base b.  For example, since 1000 = 10³, the logarithm base 10 of 1000 is 3, or log₁₀ = 3.

What is a function?

A function in mathematics is an expression, rule, or law that establishes the connection between an independent variable and a dependent variable (the dependent variable). Each element of X receives precisely one element of Y when a function from one set to the other is used. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.

To solve this exponential equation, we can use the logarithms property that is log(a^b) = b*log(a).

Given the equation 17v = 62, we can take the logarithm base 17 of both sides:

log(17^v) = log(62)

v*log(17) = log(62)

Dividing both sides by log(17) gives us:

v = log(62) / log(17)

This is the solution for v, the unknown variable in the equation.

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A hospital near a ski resort records the type of injuries treated during ski season and other seasons and other seasons over a year. the results shown in the table will help determine the medical staff that is required at different times of the year. according to the data in the table, what is the probability that a patient will need to be treated with a broken bone during ski season. Write f(x)=1/2x^2+1/2x-10 in intercept form. Then find the x-intercepts, the vertex, and the axis of symmetry of the graph of f. What were the steps that led America to enter World War I ? In Obergefell v. Hodges, the Supreme Court went against prior precedent to issue a ruling that seeks to make the US a more fair and just society. This is an example of:Judicial RestraintJudicial ActivismJudicial ReviewJudicial Neglect In the evolution of life on Earth, which one of the following traits must have evolved last (meaning most recently): O sexual reproduction; centromeres associated with DNA; O self-defense mechanisms; multicellularity; O locomotion; mitosis. Many scientists claim that the synthesis of the first organic molecules from inorganic precursors was possible because of the highly reducing atmosphere found on primitive Earth. Which of the following is an appropriate null hypothesis that could be used when investigating the claim 5. What is one sign of a wellness approach to life? A deep indentation found along the medial plane that separates the right and left cerebral hemispheres is called the Upon arriving in Russia, Joan Walker learned that companies in the country had a strong custom of employing members of the same family. Vandelay has an anti-nepotism policy, prohibiting the employment of members of the same family. Joan has heard that her new Russian secretary, Svetlana, may recommend her husband for a position in the company's production crew. Under the principles of ISCT, if Joan concludes that hiring family members does not violate any hypernorms, she should: O Not prohibit her secretary's husband from being considered for the production job in light of Russia's cultural norms, even though the norm of allowing members of the same family to be employed violates the company's stated policy. Prohibit her secretary's husband from applying because company policies should always prevail over the laws and customs of the country in which the company is doing business. O Not prohibit her secretary's husband from applying for the production job, but tip off the production foreman that the application should be rejected without serious review. Recommend that Vandelay discontinue doing business in Russia because the country's business-practice norms are inconsistent with those of American companies. ABC, BD &CE are the altitude of the ide AC & AB and BD=CE. Prove that BCDCBE What is the significance of the bird of prey imagery? A triangle has sides with lengths that are consecutive even integers. The perimeter of the triangle is 72 centimeters. Sketch the triangle and label the lengths of the sides, using the variable. Find the length of the largest side. Show work How do you get a 750 credit score to 800? On a certain hot summer day, 481 people used the public swimming pool. The daily prices are $1. 25 for children and $2. 25 for adults. Receipts for admission totaled $865. 25. How many children and how many adults swam at the public pool that day? While reading her AP Psychology textbook, Sara scans the section headings, noticing how the units are organized, and forms questions to answer while reading. According to the text, her strategy best reflects 3. Which of the forms of electromagnetic radiation listed below has the greatest energy?Ogamma raysO infraredO ultravioletradio waves Two sides of a triangle have lengths 15 and 20. The length of the third side can be any number greater than A and less than Identify an irrational number between 7 and 8 A karate studio offers a 6 week session for$175. How much would you expect to pay fora 9 week session? A straight line is shown on the coordinate grid below. a) What is the y-intercept of this line? b) What is the gradient of this line? Give each of your answers as an integer or as a fraction in its simplest form. Y 8- 7- 6- 5- 4- 3- 2- 1- -8-7-6-5 -4 -32 -1.0 -2+ -3. -4- -8- 12 4 X