What volume v of helium is needed if a balloon is to lift a load of 180 kg (includine

the welght of the empty balloon)? density of helium 0. 179 kg/m pa= 1. 29 kg/m

When we look for the constant rate of change, we subtract the first two y-values in the first place:

In the right-angled triangle ABC the value of line segment BD is obtained as x = 21.91.

What is a right-angled triangle?

Any two sides of a triangle's three sides must always add up to more than the third side since a triangle is a regular polygon with three sides. This distinguishing characteristic of a triangle. A right-angle triangle is one that has angles between its two sides that equal 90 degrees.

A right-angled triangle ABC with drawn with angle B = 90°.

A line BD is drawn which is perpendicular to AC.

The angle BDC is also 90 degrees.

The measure for line segment AD = 12 and CD = 40.

The measure for line segment BD is x.

The side BD is common for triangle ABC and BDC.

So, by the formula of indirect measurement we have -

DC / BD = BD / AD

Substitute the values in the equation -

40 / x = x / 12

x² = 480

x = 21.908

x = 21.91

Therefore, the value of x is obtained as 21.91.

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The numeric values of the function f(x) = 5x - 7 are given as follows:

a) f(-2) = -17.

b) f(1/2) = -9/2.

To find the numeric value of a function, we replace each instance of the variable by the desired value.

For this problem, the function is not 100% visible from the picture, but we are going to suppose it is given by:

f(x) = 5x - 7.

At x = -2, the numeric value is:

f(-2) = 5(-2) - 7 = -10 - 7 = -17.

At x = 1/2, the numeric value is:

f(1/2) = 5(1/2) - 7 = 5/2 - 14/2 = -9/2.

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Answer:

y = - \(\frac{1}{6}\) x - 1

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 6x - 2 ← is in slope- intercept form

with slope m = 6

given a line with slope m then the slope of a line perpendicular to it is

\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{6}\) , then

y = - \(\frac{1}{6}\) x + c ← is the partial equation

to find c substitute (6, - 2 ) into the partial equation

- 2 = - 1 + c ⇒ c = - 2 + 1 = - 1

y = - \(\frac{1}{6}\) x - 1 ← equation of perpendicular line

Using the properties of similar triangles and ratio and proportion we get the vale of x as 2.8 units.

In the given figure the triangle ΔKFG and ΔFJH

KG is parallel to JH

Hence ΔKFG is similar to ΔFJH

Now using the property of similarity and proportion we can say that:

FG/FH = KF/JF

putting the values in the above proportion we get:

7 /(7+x) = 5/ 7

or, 49 = 35 +5 x

or, 14 = 5x

or, x =14/5

or, x = 2.8

The majority of ratio and percentage explanations involve using fractions.

A proportion states that two variables are equal, whereas a ratio is a fraction that is written as a:b. The two ratios given are equal to one another, as demonstrated by the proportional equation.

Hence the value of x is 2.8 units.

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Answer:

3s+10s+10s+3s=9+3+3+9

26s=24

s=26+24

s=50 cm

There are 13,749,669,792,000 ways to select the applicants. To calculate the number of ways to select applicants who will be hired, we can use the combination formula. The formula for calculating combinations is:

C(n, r) = n! / (r!(n - r)!)

Where n is the total number of applicants (90 in this case), and r is the number of applicants to be hired (20 in this case). Plugging in the values, we get:

C(90, 20) = 90! / (20!(90 - 20)!)

Calculating the factorial terms:

90! = 90 × 89 × 88 × ... × 3 × 2 × 1

20! = 20 × 19 × 18 × ... × 3 × 2 × 1

70! = 70 × 69 × 68 × ... × 3 × 2 × 1

Substituting these values into the combination formula:

C(90, 20) = 90! / (20!(90 - 20)!)

= (90 × 89 × 88 × ... × 3 × 2 × 1) / [(20 × 19 × 18 × ... × 3 × 2 × 1) × (70 × 69 × 68 × ... × 3 × 2 × 1)]

Performing the calculations, we find: C(90, 20) = 13,749,669,792,000

Therefore, there are 13,749,669,792,000 ways to select the applicants who will be hired from a pool of 90 applications.

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Problem 1

PMT = 505.76 = monthly payment

k = monthly interest rate in decimal form

k = 0.043/12 = 0.003583333 (approximate)

n = 5*12 = 60 months

PVOA = present value of ordinary annuity

PVOA = PMT * ( 1 - (1+k)^(-n) )/k

PVOA = 505.76 * ( 1 - (1+0.003583333)^(-60) )/0.003583333

PVOA = 27,261.436358296

When rounding to the nearest dollar, we get $27,261

Your teacher made a mistake in choosing the formula. S/he mixed up present value ordinary annuity with annuity due. The (1+k) portion at the end is ignored. I rewrote the 1/( (1+k)^n ) sub-portion as (1+k)^(-n) to avoid a bit of clutter.

--------

To type this into excel we will write

=PV(0.043/12,5*12,505.76,0,0)

That will produce the result of -27,261.44. The negative is to indicate a cash outflow.

Don't forget about the equal sign up front when writing excel formulas.

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

Problem 2

L = loan amount = 23099

k = interest rate per month = 0.051/12 = 0.00425 exactly

n = number of months = 5*12 = 60 months

PMT = monthly payment

PMT = (Lk)/(1 - (1 + k)^(-n) )

This formula is the result of solving PVOA = PMT * ( 1 - (1+k)^(-n) )/k for "PMT". The PVOA value is the loan amount in this case.

Let's plug in the values mentioned

PMT = (Lk)/(1 - (1 + k)^(-n) )

PMT = (23099*0.00425)/(1 - (1 + 0.00425)^(-60) )

PMT = 436.965684557303

PMT = 437 when rounding to the nearest whole number

--------

To do this in excel, we type in

=PMT(0.051/12,5*12,23099,0,0)

The output should be -436.97 which rounds to -437.

The value is negative to represent a cash outflow, but your teacher mentions to post the answer as a positive value.

Answer:

The solution will be "x = 2 and x = -1".

Step-by-step explanation:

The given equation is:

⇒  \(2^{2x+2}\times 5^{x-1}=8^x\times 5^{2x}\)

On solving "\(8^x\)", we get

⇒  \(2^{2x+2}\times 5^{x-1}=(2^3)^x\times 5^{2x}\)

As we know, if the base are same then their powers will be added together.

⇒  \(2x+2=3x\) ...(equation 1)

⇒  \(x-1=2x\) ...(equation 2)

From equation 1, we get

⇒  \(2=3x-2x\)

⇒  \(2=x \ i.e., x =2\)

From equation 2, we get

⇒  \(-1=2x-x\)

⇒  \(-1=x \ i.e., x=-1\)

So that the correct answer will be "x = 2" and "x = -1".

The sentence that translates the linear equation 5 · x + y = 2 is: The sum of five times x plus y equals 2.

Herein we find the mathematical definition of a linear equation of the form a · x + b · y = c, where a, b, c are real coefficients. This equation must be translated into human language, that is, a complete sentence in order to respond this question. Therefore, the expression can be translated as follows:

5 · x + y = 2: The sum of five times x plus y equals 2.

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The string should be cut at 62.50 cm (approx) from one end in order to minimize the total area of the two figures.

Given, the length of a string = 100cm.

The string is to be cut into two pieces.

Let the length of the first piece be x and that of the second piece be (100 - x).

The first piece is to be bent into a circle.

Let the radius of the circle be r.

Therefore, the circumference of the circle is

2πr = xOr r = x/2π ...(1)

The second piece is to be bent into a square.

Let the side of the square be a.

Therefore, the perimeter of the square is

4a = (100 - x)Or a = (100 - x)/4 ...(2)

The total area of the two figures will be:

Total area = πr² + a²... (3)

Substituting the values of r and a in equation (3), we get:

Total area = π(x/2π)² + [(100 - x)/4]²

⇒ Total area = x²/4π + (100 - x)²/16

⇒ Total area = (x² + 16(100 - x)²)/64π

For minimizing the total area of the two figures, we need to find the value of x that minimizes the function

x² + 16(100 - x)².

The value of x that minimizes the function

x² + 16(100 - x)² is: x = 62.50 (approx)

Therefore, the string should be cut at 62.50 cm (approx) from one end in order to minimize the total area of the two figures.

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Answer:

The perimeter is the sum of all the sides of the rectangle. So, adding up all the given sides, we get:

Perimeter = 2u + u + 10 + u + 10 + 8u

Simplifying the expression by combining like terms, we get:

Perimeter = 12u + 20

Therefore, the simplified answer for the perimeter is 12u + 20.

The level of significance in hypothesis testing is the probability of: c. rejecting a true null hypothesis. In hypothesis testing, the critical value is:
a. a number that establishes the boundary of the rejection region.

Probability is a branch of mathematics in which the chances of experiments occurring are calculated. It is by means of a probability, for example, that we can know from the chance of getting heads or tails in the launch of a coin to the chance of error in research. In statistics , a null hypothesis is a statement that one seeks to nullify with evidence to contrary most commonly it is a statement that the phenomenon being studied produces no effect on makes no difference.

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Answer:

Both of the questions are B.

Problem 1

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

Explanation:

The domain is the set x values of a relation

For the relation given, the domain is {-4, -1, 4}. We list all the unique x coordinates. Toss out any duplicates.

The value x = 3 is not in that list.

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

Problem 2

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

Explanation:

The range is the set of y values of a relation. We only list each unique item once and toss out any duplicate entries.

The length and angles of the congruent trapezium are:

Length: 10 cm

Base angles: 100 degrees

Height: 5.877 cm

What is congruence ?

Congruence is a term used in geometry to describe when two geometric shapes or objects have the same shape and size, and therefore, they are equal to each other. In other words, if two shapes or objects are congruent, it means that they can be placed on top of each other and completely overlap without any gaps or overlaps. Congruence can apply to different types of geometric figures, such as triangles, circles, rectangles, and more. To show that two figures are congruent, various methods can be used, such as using the properties of the figures, measurement of their corresponding sides and angles, or transformations like rotations, reflections, and translations.

According to the question:
If the two trapeziums are congruent, then they have the same shape and size. Therefore, the corresponding sides and angles of the trapeziums must be equal.

Given the measurements of one trapezium with a length of 10 cm, 7 cm, 12.4 cm and an angle of 80 degrees, we can find the corresponding measurements of the other trapezium as follows:

Length: The length of the other trapezium must be equal to the length of the first trapezium, which is 10 cm.

Base angles: The base angles of the other trapezium must be equal to the base angles of the first trapezium, since they are congruent. To find the base angles, we can use the formula for the sum of angles in a trapezium, which is:

sum of angles = 360 degrees

base angle + base angle + 80 degrees + 80 degrees = 360 degrees

2 base angle = 200 degrees

base angle = 100 degrees

Therefore, the base angles of the other trapezium are also 100 degrees.

Height: The height of the other trapezium can be found using the formula for the area of a trapezium, which is:

area = (sum of parallel sides) x (height) / 2

Rearranging this formula to solve for the height, we get:

height = 2 x area / (sum of parallel sides)

We can use the given measurements of the first trapezium to find its area as follows:

area = (sum of parallel sides) x (height) / 2

= (10 + 12.4) x h / 2

= 11.2h

Solving for h, we get:

h = area / 11.2

= (7 x 10 x sin(80)) / 11.2

= 5.877 cm (rounded to 3 decimal places)

Therefore, the height of the other trapezium is also 5.877 cm.

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From the description of the function as we can see in the question, the function is a quadratic function.

The term quadratic function refers to a type of function that is obtained from the equation ax^2+ bx + c =0.

A function in which as the domain values approach infinity, the range values approach infinity and as the domain values approach negative infinity, the range values approach infinity is a quadratic function.

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The probability that the sample mean would be less than 31,358 miles in a sample of 242 tires if the manager is correct is 0.9925 (or 99.25%).

What is probability?

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain to happen.

We can use the central limit theorem to approximate the distribution of the sample mean. According to the central limit theorem, if the sample size is sufficiently large, the distribution of the sample mean will be approximately normal with a mean of 30,641 and a standard deviation of sqrt(variance/sample size).

So, we have:

mean = 30,641

variance = 14,561,860

sample size = 242

standard deviation = sqrt(variance/sample size) = sqrt(14,561,860/242) = 635.14

Now, we need to calculate the z-score corresponding to a sample mean of 31,358 miles:

z = (sample mean - population mean) / (standard deviation / sqrt(sample size))

= (31,358 - 30,641) / (635.14 / sqrt(242))

= 2.43

Using a standard normal distribution table or calculator, we can find the probability that a z-score is less than 2.43. The probability is approximately 0.9925.

Therefore, the probability that the sample mean would be less than 31,358 miles in a sample of 242 tires if the manager is correct is 0.9925 (or 99.25%).

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Answer:

hope it helps.........................

Answer:

(3x+1)(2x+3)

Step-by-step explanation:

6x^2+(9+2)x+3

= 6x^2 +9x +2x +3

=3x (2x +3) +1(2x +3)

=(3x +1) (2x +3)

Answer:

bbc

Step-by-step explanation:

The number of campers who chose hiking is 746.

To find the number of campers who chose hiking, we need to determine the number of campers who chose boating first.

Since 589 campers chose boating, we can calculate the number of campers who chose hiking by adding 157 to this number.

Therefore, the number of campers who chose hiking is 589 + 157 = 746.

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Answer:

Sale kute bhan के lole

Tera baap aya ajju(^bhai 94

Answer:

B. y= 6x2, y= -4.5x2, y= -x2

Step-by-step explanation:

y = 6x2, y = −4.5x2, y = −x2

This should be correct )

To solve this problem you must keep on mind the following information: By definition, a quadratic function has the following form:  

 y=ax^{2}+bx+c


Where a
 is the leading coefficient.

If the leading coeficient is closer to zero, the parabola is widest,if it has a larger positive or negative value, the parabola is narrowest.

Therefore, by knowing the information above, you have that the answer is:

y=- x^{2}  \\ y=-4.5 x^{2}  \\ y=6 x^{2}

The probability of the complement of the event is 0.15, if the event has 0.85 chance

Given that

Probabilty of an event = 0.85

As a general rule

The sum of a probability and its complement is 1

Mathematically, we have

Probability + Comlement = 1

So, we have

0.85 + Complement = 1

When the like terms are evaluated, we have

Complement = 0.15

Hence, the probability is 0.15

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Answer:

FV= PV*(1+i)^t

Step-by-step explanation:

Giving the following information:

Initial investment (PV)= $2,000

Interest rate (i)= 3.2% = 0.032

Number of periods= t

To calculate the future value (FV) of the investment, we need to use the following formula:

FV= PV*(1+i)^t

For example, Susan invests for 4 years:

FV= 2,000*(1.032^4)

FV= $2,268.55

The expression best represents the value of her investment after t years is \(FV= PV\times (1+i)^t\)

Since

Susan won $2000 and invested it into an account with an annual interest rate of 3.2%.

Here Number of periods= t

Therefore we can conclude that The expression best represents the value of her investment after t years is \(FV= PV\times (1+i)^t\)

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Answer:

true proportion

A true proportion is an equation that states that two ratios are equal. If you know one ratio in a proportion, you can use that information to find values in the other equivalent ratio.

hope it helps ya.

Can you give me brainliest? please?.ت︎

Answer:

12b+2p=30

Step-by-step explanation:

12b+2p=30

you mulitply amount of books you buy by 12 bucks and the amount of pens you buy for 2 bucks and set it equal to 30 your maximum amount to spend

Answer:

12b + 2p = 30

Step-by-step explanation:

b - books

p - pens

Each book costs $12 and each pen is $2, so that would be 12b plus 2p because you don't know how many of each you buy. Then set that equal to 30 because that is the total amount that you spend.

12b + 2p = 30

In a two-way ANOVA, the sum of squares can be calculated for each of the factors and their interaction. The sum of squares for each factor represents the variation in the dependent variable that can be attributed to that particular factor. Therefore, the sum of squares for a two-way ANOVA can be found by calculating the sum of squares for each factor and their interaction.

To find the sum of squares for a two-way ANOVA, follow these steps:

Calculate the grand mean, which is the overall mean of the dependent variable.

Calculate the sum of squares for each factor. This can be done by calculating the sum of the squared deviations of each level of the factor from the grand mean, and then summing these squared deviations across all levels of the factor. The sum of squares for factor A (SSA) and factor B (SSB) can be calculated as follows:

SSA = Σ(∑Xij – (∑Xj/n))^2 / (r * n)

SSB = Σ(∑Xij – (∑Xi/n))^2 / (c * n)

Where Xij is the value of the dependent variable for the ith level of factor A and the jth level of factor B, n is the total number of observations, r is the number of levels for factor A, and c is the number of levels for factor B.

Calculate the sum of squares for the interaction between factor A and B (SSAB) by summing the squared deviations of each cell mean from the corresponding row mean, column mean, and grand mean, and then summing these squared deviations across all cells. The formula for SSAB is as follows:

SSAB = ΣΣ(Xij – Xi – Xj + X)^2 / ((r-1) * (c-1))

Where Xij is the value of the dependent variable for the ith level of factor A and the jth level of factor B, Xi is the mean of the ith level of factor A, Xj is the mean of the jth level of factor B, and X is the grand mean.

Calculate the residual sum of squares (SSE) by subtracting the sum of squares for factor A, factor B, and their interaction from the total sum of squares (SSTO):

SSE = SSTO – SSA – SSB – SSAB

Verify that the sum of squares for each factor and their interaction, plus the residual sum of squares, equals the total sum of squares:

SSTO = SSA + SSB + SSAB + SSE

Therefore, to find the sum of squares in a two-way ANOVA, calculate the sum of squares for each factor and their interaction, and the residual sum of squares using the above steps.

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Answer:

(4×n)-2<30

Step-by-step explanation:

4xn is 4 times a number

two less= -2

LESS THAN 30, is <

The inequality used to find the solution of the given statement is 4x - 2 < 30 to get the solution as x < 8.

Linear inequalities are defined as those expressions which are connected by inequality signs like >, <, ≤, ≥ and ≠ and the value of the exponent of the variable is 1.

Given statement is that two less than four times a number is less than thirty.

Let the unknown number be x.

Four times a number is 4x.

Two less than four times a number is 4x - 2.

Two less than four times a number is less than thirty is 4x - 2 < 30.

4x - 2 < 30

Adding both sides with 2,

4x < 32

Dividing both sides by 4,

x < 8

Hence the required solution can be found by solving the inequality 4x - 2 < 30 and the solution is x < 8.

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Answer: Jane

Step-by-step explanation: Because Tom only used 13% and Lisa used .6 pounds. So Jane would have the highest % used.