w(n)=4n-3; Find w(n+4)

The required length of the hypotenuse of the right angle triangle is 23.6 √2.

A right-angled triangle is a triangle, that has one of its interior angles equal to 90 degrees or anyone angle is a right angle.

Given that,

The legs of the right and triangle are congruent,

And equal to 23.6 yards.

Implies that,

Base = height = 23.6 yards

To find hypotenuse of the triangle, use Pythagoreans theorem,

(Hypotenuse)² = (Base)² + (Height)²

(Hypotenuse)² = (23.6)² + (23.6)²

(Hypotenuse)² = 2 (23.6)²

Hypotenuse = 23.6 √2

The length of the hypotenuse of the right angle triangle is 23.6 √2.

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Answer:

Step-by-step explanation:

it is 75 and a half

Answer: three x plus 4 y raised to the power of three

Step-by-step explanation:

Answer: It will take about 8.5 years for the balance of the savings account to reach $3827.25.

Step-by-step explanation:

To find the number of years it will take for the balance of the savings account to reach $3827.25, we can set up the following equation:

$3500 * (1 + 0.011 * t) = 3827.25$

We can then solve for t, the number of years, by dividing both sides of the equation by 3500 and then rearranging the terms to get t by itself:

$t = \frac{3827.25 - 3500}{3500 * 0.011}$

Next, we can plug in the given values and solve for t to find the number of years it will take for the balance of the account to reach $3827.25:

$t = \frac{3827.25 - 3500}{3500 * 0.011} = \frac{327.25}{38.5} = 8.5$

Therefore, it will take about 8.5 years for the balance of the savings account to reach $3827.25.

Answer:

subtract and then subtract again until you get to one answer

The required true statement for [tex]2x^4 -5x^3+10x^2-9=0[/tex] is rational root factor of 9 divided by a factor of 2.

Rational root theorem states that if the equation has rational roots they will be the factors of constant term divided by factors of highest power coefficient.

The Rational Root Theorem states that any rational root of f(x) is a factor of the trailing constant divided by a factor of the leading coefficient.

In this case, a factor of 9 divided by a factor of the number 2.

[tex]2x^4 -5x^3+10x^2-9=0[/tex]

If there are any rational roots, it would be a factor of constant term of 9 divided by a factor of the high-order coefficient of 2.

Hence, The true statement is rational root factor of 9 divided by a factor of 2.

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Answer: 0.4

Step-by-step explanation:

Two-fifths is 2/5

If you were to put this into a calculator, you would get 0.4.

If this were to come up in a non-calculator test, I would mentally multiply both the numerator and denominator by 2 to get 4/10, which you can then divide quickly to get 0.4. :)

The product of -1.8 and = -1.8 x ?

3 more than a number = 3 + n

The product of -1.8 and 3 more than a number = -1.8(3 + n)

Is the same as 1/10 = equals (equal sign) 1/10

Full Equation: -1.8(3 + n) = 1/10

Steps to solve:

1. Divide both sides by -1.8 (or - 9/5)

(3 + n) = 1/10 x -5/9

3 + n = -5/90

2. Subtract 3 from both sides

n = -5/90 - 270/90

n = -30 5/9

Hope this helps!

Answer:

Step-by-step explanation:i think the answer is B

A data display showing the number of children per household in the US is strongly skewed right. The mean. number of children per household is 3. the possible value for the median are

Data that produces an uneven, skewed curve on a graph is referred to as skewed data. In statistics, a data set with a normal distribution has a bell-shaped, symmetrical graph. The "tail" of skewed data, however, is on either side of the graph.

Outliers that do not affect the median but have an impact on the mean. As a result,

The problem has it that the data is skewed to the right hence the mean is  higher than the median. if the mean is 3 the median should be numbers less than the mean which are 0, 1, 2

0 is not included in the answer as 0 is not a possible value in this case.

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Answer:

The answer is 0,1,2

Step-by-step explanation:

A data display showing the number of children per household in the US is strongly skewed right. The mean. number of children per household is 3. What is a possible value for the

median?

Square may be defined a closed figure having four equal sides.

Within mathematics there are many figures. One of the closed figures is Square. Square is formed when four sides of equal length are enclosed to from a closed figure. It is a two dimensional figure. A square has four vertices as well as four internal angles. All the internal angles of the square are equal and have a value equal to 90°. The opposite sides of a square are equal as well as parallel to each other. The diagonals of the square are equal in length and all the diagonals of square intersect each other at an angle equal to 90°. if a square has length of its side equal to 'a', then the area of the square will be equal to a². The perimeter of the square will be equal to 4a.

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Answer:

11z

Step-by-step explanation:

7z+(-6z)= 1z or z

1z + 10z = 11z

Margarite must deposit $3174 as the principal in her account.

The addition of interest to the principal of a loan or deposit is known as compound interest, sometimes known as interest on principal and interest. It occurs when interest is reinvested, added to the lent capital instead of being paid out, or the borrower is required to pay it, resulting in the next period's interest being generated on the principal amount plus any accumulated interest. Finance and economics both use compound interest frequently.

In contrast to simple interest, which does not compound since past interest is not added to the current period's principal, compound interest allows for the accumulation of interest from prior periods.

As given:

42000 dollars are required for the journey to Japan.

Let P be the account's principal deposit.

Interest rates are 3.5% each day, compounded.

The duration is 8 years.

4200=P(1+(3.5/365×100))³⁶⁵⁽⁸⁾

4200=P(1.00009589)²⁹²⁰

4200=P×1.323110

P=4200/1.323110

P=3174.33

≈P=$3174

Therefore, Margarite must deposit $3174 as the principal in her account.

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Answer:

Below

Step-by-step explanation:

This is your posted line:

4 3/4 = 19 / 4

2 1/3 = 7/3

19/4  * 7/3  =  (19*7) /(4*3) = 133/12  = 11  1/12

BUT the question in the picture shows

2 4/7 * 2/3 =

18/7   * 2/3 =  (18*2) / ( 7*3) = 36/21 = 1  15/21   =    1 5/7

The number of bananas are 6 and the number of peaches are 4.

What is system of equations?

A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, also known as a system of equations or an equation system.

Given:

Hua and her children went into a grocery store and she bought $9

worth of bananas and peaches.

Each banana costs $0.50 and each

peach costs $1.50. She bought a total of 10 bananas and peaches altogether.

Let

B = number of bananas

P = number of peaches

0.5 * B = cost of number of bananas purchased

1.5 * P = cost of number of peaches purchased

So,

B + P = 10                 ..(1)

0.5B + 1.5P = 9         ..(2)

From equation (1),

B = 10 - P        ..(3)

Plug value of B in equation (2),

0.5(10 - P) + 1.5P = 9

5 - 0.5P + 1.5P = 9

5 + P = 9

P = 4

Plug P = 4 in equation (3)

B = 10 - 4

B = 6

Hence, the number of bananas are 6 and the number of peaches are 4.

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10 is the value of d.

An angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.

Given that One angle measure is 24°,

Another angle measure is  (7d-4)°.

The angles are complementary, We need to find the value of d.

The sum of angles is 90 degrees is called as complementary angles.

24+7d-4=90

20+7d=90

Subtract 20 from both sides

7d=70

Divide both sides by 7

d=10

Hence, the value of d is 10.

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The proportion of all adults go to a health club at least twice a week is 4%.

What is percent?

A percentage is a number or ratio expressed as a fraction of 100 in mathematics. Although the abbreviations "pct.", "pct.", and occasionally "pc" are also used, the percent sign, "%," is frequently used to indicate it. A percentage is a number without dimensions and without a standard measurement.

Given:

At the gym suppose that 10% of adults belong to health clubs, and 40% of these health club members go to the club at least twice a week.

The proportion of adults who belong to health clubs is 10% that is 0.10.

The proportion of these adults (health club members) go to the club at least twice a week is 40%, that is 0.40.

Hence, the proportion of all adults go to a health club at least twice a week is

0.10 × 0.40 = 0.04, that is 4%

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kylie noticed that her golden retriever puppy has gained 30% more weight than her Labrador puppy. when she first got the dogs, they both weighed 20 lbs , but the retriever now weighs 46 lbs. Now, the Labrador weigh is between 35 - 45 lbs.

We know that at 8 months the weight of golden retriever is 45 - 55 lbs and the weight of Labrador is 35 - 45 lbs.

Despite being cousins ​​of Retrievers, Labs and Goldens come from different parts of the world. Labrador Retrievers originate from the island of Newfoundland in the easternmost province of Labrador in Canada. Interestingly, he actually exists three different types of Golden He Retriever, each from England, America and Canada.

Seeing these dogs, especially yellow or golden labs and golden retrievers cuddled up, there is a slight sporting resemblance to the canine family, but there are also important points that help distinguish them. I have.

One of the differences between Golden Retrievers and Labrador Retrievers is the shape of the muzzle. The nose is still bookable on both!

Both retrievers are double coated breeds, so blow dry them at least twice a year. But if there were any discarded medals, Myers says there is a clear winner. 's smoother coat helps them glide through the water more easily.

But if you've read this far, you already know. However, there is a mixed breed known as the Gladder that has both Golden and Labrador Retriever parents, so the pretty yellow color can come from either.

That's why Myers says the good guys in the lab keep the coffee table bare. Its paddle-like tail is strong because it provides the driving force for swimming! Golden retrievers usually have fan-shaped tails.

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Please find attached the graph of the linear equation for the total cost of transportation of sugar created with MS Excel is attached.

A graph is a pictorial representation of the relationship between the variables in an equation.

The amount it costs to rent the truck =  $5000

The amount it cost to transport a ton  of sugar = $200

The amount of sugar transported in tons = S

The equation for the total cost C is; C = 5000 + 200·s

The graph of the equation for the cost of transportation  can be created with a spreadsheet application such as MS Excel, by entering the formula, = 5000 + 200*RefCell, in a cell and the value of S in an adjacent cell, the values for S are then populated and the values of C are generated using the formula in the cell

The two columns are then selected

Then the insert, Chart menu is then used to create the graph.

Please find attached the required graph created with MS Excel

The  graph for the total cost for the transportation is therefore a straight line graph with a slope of 200 and a y-intercept of 5,000,

The

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Answer:

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

1 and 2 are less than 3 and it is out of possible 5.

The probability of less than 3 is:

It has two equal sides and the probability of any is:

Total outcome of both events is:

The matching choice is D.

Answer:

30 days

Step-by-step explanation:

2 pints : 6 days = 10 pints : x days

2/6 = 10/x

1/3 = 10/x

1 × x = 3 × 10

x = 30

Answer: 30 days

The row of Pascal's triangle required for the binomial expansion is: 1 7 21 35 35 21 7 1

Pascal's triangle is a principle that can be used to expand a given bracket to any given power by the process termed binomial expansion. It can be used to expand brackets to a power starting from zero; but majorly applied when the power is greater than 3.

Now considering the given question, for the binomial expansion of (2x^3+3y^2)^7, the required terms of expansion using Pascal's triangle is:

1 7 21 35 35 21 7 1.

So that the binomial expansion would give;

128x^21 + 1344x^18y^2 + 6048 x^15y^4 + 15120x^12y^6 + 22680x^9y^8 + 20412x^6y^10 + 10206x^3y^12 + 2187y^14

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Answer:

x3+y3+z3=k, with k being all the numbers from one to 100

Step-by-step explanation:

your welcome, hmm i think your brain cells might have been disrupted because of all that tikt.

The value of the equation 7a = 28 is a = 4

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

7a = 28

On simplifying the equation , we get

Divide by 7 on  both sides of the equation , we get

a = 28 / 7

a = 4

Therefore , the value of a is 4

Hence , The value of the equation 7a = 28 is a = 4

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The best answer would be that 2x greater then zero which satisfy the condition.

The absolute value function is defined by the following piecewise rule, depending on the input of the function:

It measures the distance of a point x to the origin, hence, for example, |-2| = |2| = 0, and has vertex at (0,0). The range is from the y-coordinate of the vertex to positive infinity.

If x ≥ 0, then we need to determine the value of x+|x|

Since {x | x < 0} and {x | x > 0} which is no number less than zero and greater than zero at the same time.

Here we need to add that is;

x+|x|  = 2x

Therefore, in conclusion we get that 2x is greater then zero which satisfy the condition.

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The conditions are not met by the extreme outliers, hence we are unable to draw inferences based on the statistical output presented above.

So, option e is correct.

The null hypothesis, often known as H₀, is the assertion that there is no difference between two sets of data or variables under analysis, or that there is no relationship between them. Because there is no underlying causative relationship, the null hypothesis holds that any experimentally detected difference is merely the result of chance; therefore, the name "null."

We can create a z-test hypothesis by assuming that the amount of rain produced by thunderheads follows a distribution that is nearly normal:

300 acre feet is the null hypothesis for the average quantity of rain that thunderheads produce on their own without fertilizing the clouds.

Alternative Hypothesis: The amount of rain that thunderheads often produce by seeding the clouds is greater than 300 acre feet.

This test has a right tail.

So, The conditions are not met by the extreme outliers, hence we are unable to draw inferences based on the statistical output presented above.

So, option e is correct.

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Answer:  this triangle is isosceles

Step-by-step explanation:

A(2,3)    B(6,3)    C(2,7)

[tex]AB=\sqrt{(6-2)^2+(3-3)^2} \\\\AB=\sqrt{4^2+0^2}\\\\ AB=\sqrt{4^2} \\\\AB=4\ units[/tex]

[tex]BC=\sqrt{(2-6)^2+(7-3)^2} \\\\BC=\sqrt{(-4 )^2+(7-3)^2}\\\\BC=\sqrt{16+4^2}\\\\BC=\sqrt{16+16} \\\\BC=\sqrt{32} \\\\BC=4\sqrt{2} \ units\\\\[/tex]

[tex]AC=\sqrt{(2-2)^2+(7-3)^2} \\\\AC=\sqrt{0^2+4^2} \\\\AC=\sqrt{4^2} \\\\AC=4\ units[/tex]

Hence, AB=AC

Thus, this triangle is isosceles

Slope and a point that is not an intercept is the information about the graph of the relationship is given.

The Painting rate = 8 m²/h

Room area left to paint after 3 hours = 28 square meters . Let y be the area left to paint after x hours in square meters. To describe a point on a graph, we need a corresponding (x,y) pair. In our case , we need information about the rate of change of the relationship between the area left to paint and after the hours. Painting speed of Hiro is 8 square meters per hour. So, the corresponding slope is 8 or equation , Y = 8x --(1)

Y = 28 square meters, substituting this value into the above formula 28 = 8X

=> X = 7/2

which is the point (7/2, 28 ) and not an intercept.

In other words, the point that is not the intersection with the slope.

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Complete question:

Hiro painted his room. After 3 hours of painting at a rate of 8 square meters per hour, he had 28 square meters left to paint. Let y represent the area (in square meters) left to paint after x hours.

Which of the following information about the graph of the relationship is given?

a)Slope and x-intercept

b) Slope and y-intercept

c)X-intercept and y-intercept

d) Y-intercept and a point that is not an intercept

e)Two points that are not intercepts

f)Slope and a point that is not an intercept

The standard equation of a hyperbola centered at the origin and a vertical tranaverse axis is y²/64 - x²/81 = 1

A hyperbola is a locus of points in such a way that the distance to each focus is a constant greater than one.

The standard equation of a hyperbola centered at the origin and a vertical tranaverse axis is given by

y²/a² - x²/b² = 1

Now, for the given hyperbola, we have that

So, substituting the values of the variables into the equation, we have that

y²/a² - x²/b² = 1

y²/8² - x²/9² = 1

y²/64 - x²/81 = 1

So, the standard equation is y²/64 - x²/81 = 1

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