what does equal (+3) * (+9)=

Answer:

d)367

Step-by-step explanation:

Given, Tn = 5n² - 4

To find the 5th term, substitute n = 5 in the equation Tn = 5n² - 4

T5 = 5(5)² - 4

T5 = 121

To find the 7th term, substitute n = 7 in the equation Tn = 5n² - 4

T7 = 5(7)² - 4

T7 = 241

Therefore, the sum of the 5th and 7th terms = T5 + T7 = 121 + 241 = 362.

Hence, the correct option is (d) 367.

Best explanation is from option B :This equation is true because both sides of the equation are equal to 10.4.

Define equation ?

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. Mathematical algebraic equations typically have one or more variables.

What are an expression and sentence in mathematics?

A mathematical expression is a phrase that has a minimum of two numbers or variables and at least one mathematical operation. Let's examine the writing of expressions. The other number is x, and a number is 6 greater than half of it. As a mathematical expression, this proposition is denoted by the expression x/2 + 6.

By solving both equation :

The left side of the equation is

22.4 - 2 x 6 = 10.4.

The right side of the equation is

24 ÷ 6 + (12 – 5.6)

= 4 + 6.4 = 10.4.

This calculation says that equation is true and both sides are equal.

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Answer:

1/6 or 16.6%

Step-by-step explanation:

There are 6 possible combinations, one of which being whole wheat with thick crust. Therefore there is a 1/6 chance.

Answer:

3y3(x2 + 4)(x + 2)(x -2)

Step-by-step explanation:

3x4y3– 48y3.

= 3y3(x4 – 16).

= 3y3[(x2)2 - 42].

= 3y3(x2 + 4)(x2 - 4).

= 3y3(x2 + 4)(x2 - 22).

= 3y3(x2 + 4)(x + 2)(x -2).

Answer:

1kg of onion is $1.5

Step-by-step explanation:

He paid $10 and got $1.50 back, meaning that the total price for the 2kg and 3kg of the potato and onion is:

10 - 1.5 = $8.50

Now, equating the prices of the two (take x as the cost of the potato per kg and take y as the cost of the onion per kg):

x -0.5 = y

x - y = 0.5  ---- Eq 1

Equating the total costs:

2x + 3y = 8.5 ---- Eq 2

Multiplying Eq 1 by 2:

2x - 2y = 1 ---- Eq 1'

Subtracting Eq 2 from Eq 1':

2x - 2x +3y - (-2y) = 8.5 - 1

5y = 7.5

y = 1.5

Substituting this into the first equation:

x - 1.5 = 0.5

x = 2

Hence,

the cost of the Potato is $2, and

the cost of the Onion per kg is $1.5

Hope this helps, and have a wonderful time ahead on Brainly!

Answer:

85.02 feet

Step-by-step explanation:

In order to solve this we need to use Herons formula to discover the Area of the triangle and then solving the formula of the area to find the height.

Herons formula starts by calculating the semi-perimeter which is half the perimeter of the Triangle:

\(s=\frac{a+b+c}{2}\\ s=\frac{127+93+132}{2}\\s=176\)

Now that we knwo that s= 176 we need to use the second part of the formula:

\(A=\sqrt{(S-A)(S-B)(S-C)} \\\\A=\sqrt{(176-127)(176-93)(176-132)}\\A=\sqrt{176(49)(83)(44)} \\A=5612.02\)

So the area is 5612.02, with that we just have to solve the equation for area, which is \(A=\frac{B*H}{2}\)

So it would be 2A*B=H

H=2*5612.02*132

H=85.03

Answer:

20\(c^{6}\)

Step-by-step explanation:

using the rule of exponents

\(a^{m}\) × \(a^{n}\) = \(a^{(m+n)}\)

given

(- 4c³)(- 5c³) ← remove parenthesis

= - 4 × c³ × - 5 × c³

= - 4 × - 5 × c³ × c³

= 20 × \(c^{(3+3)}\)

= 20\(c^{6}\)

Answer:

37y +3?

Step-by-step explanation:

L×B=Area

(7y+1)(2y+3)

According to the given figure ,

Formula to find the area of a rectangle is given by -

\( \:\:\:\:\:\:\star\small \underline{ \boxed{ \sf{ \pmb{Area_{(rectangle)} = Length \times Breadth }}}}\\\)

On substituting the values-

\( \:\:\:\:\:\:\longrightarrow \sf { Area_{(rectangle)}= \bigg(7y+1\bigg)\times \bigg(2y+3\bigg)}\\\)

\( \:\:\:\:\:\:\longrightarrow \sf { Area_{(rectangle)} = \bigg ( 14y^2+21y+2y+3\bigg)}\\\)

\( \:\:\:\:\:\:\longrightarrow \sf { Area_{(rectangle)} = 14y^2+23y +3}\\\)

\( \:\:\:\:\:\:\longrightarrow \boxed{ \tt{ \pmb{ \red{Area_{(rectangle)}=\underline{14y^2+23y +3}}}}}\\\)

\( \\ \therefore \underline{ \cal{ \pmb{Correct \:option \: is \: \frak{\purple{ C)\:\underline{14y^2+23y +3 }}. }}}}\\\)

Answer:

12

Step-by-step explanation:

Inches÷12=Feet

Feet·12=Inches

The number of times the students on your floor order pizza in a week, population.

A population is a complete set of individuals or objects that share common characteristics. It is an entire group of people, animals, plants, or objects that can be studied. A population can also be a group of people living in a certain geographical area.

A sample is a subset of a population. It is a smaller group of individuals or objects drawn from the population that are used to make inferences about the population as a whole.

A sample is used in statistical analysis to estimate population characteristics, such as mean, median, and variance. The accuracy of the estimates depends on the size and representativeness of the sample.

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The complete question is:

Determine whether the statement describes a population or a sample. The number of times the students on your floor order pizza in a week, ___.

Answer:

15.1666666667

Step-by-step explanation:

Answer: B) 56

Step-by-step explanation:

\(x:y=7:18\)

\(x=49\)

find the value of \(y\)

let, \(x^2\) \(7a\)

and let, \(y^2\) \(8a\)

A/Q

\(x=49\)

\(7a=49\), divide both sides by 7 to let the \(a\) alone,

\(a=7\)

///

\(y=8a\), so that we now that \(a=7\)

so, \(y=8*7\)

\(y=56\)

hope you've understanded...

Answer:

32

Step-by-step explanation:

1/3x96= 31.999

Step-by-step explanation:

There are 96 students in total.

1/3 of total students = 96 * (1/3) = 32.

Since 1/3 of total students are boys,

there are 32 boys in the singing.

The value of life in minutes is exceeded by 90% probability is 327.025.

What is a normal distribution?

A continuous probability distribution for a real-valued random variable is called a normal distribution or a Gaussian distribution. The normal distribution describes a symmetrical plot of data around its mean value, where the width of the curve is defined by the standard deviation.

Here, we have

Given: The time until recharge for a battery in a laptop computer under common conditions is normally distributed with a mean of 253 minutes and a standard deviation of 45 minutes.

We have to find the value of life in minutes is exceeded by 90% probability.

= Mean + Z (Standard Deviation)

= 253 + 1.645×45

= 327.025

Hence, the value of life in minutes is exceeded by 90% probability is 327.025.

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Answer:

I think it is 42 i hope u get it right

Using implicit differentiation dy/dx = -(2x + y)/(x + 2y) and d2y/dx² = -2(x² - 3xy - y²)/(x + 2y)³.

Implicit differentiation is the process of differentiating an equation in which it is not easy or possible to express y explicitly in terms of x.

Given the equation x² + xy + y² = 5,

we can differentiate both sides with respect to x using the chain rule as follows:

2x + (x(dy/dx) + y) + 2y(dy/dx) = 0

Simplifying this equation yields:

(x + 2y)dy/dx = -(2x + y)

Hence, dy/dx = -(2x + y)/(x + 2y)

Next, we need to find d^2y/dx^2 by differentiating the expression for dy/dx obtained above with respect to x, using the quotient rule.

That is:

d/dx(dy/dx) = d/dx[-(2x + y)/(x + 2y)](x + 2y)d^2y/dx² - (2x + y)(d/dx(x + 2y))

= -(2x + y)(d/dx(x + 2y)) + (x + 2y)(d/dx(2x + y))

Simplifying this equation yields:

d2y/dx² = -2(x² - 3xy - y²)/(x + 2y)³

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Answer:

\(\displaystyle y=2\sqrt{6}\)

\(\displaystyle x=2\sqrt{2}\)

Step-by-step explanation:

Trigonometric Ratios

The ratios of the sides of a right triangle are called trigonometric ratios.

The longest side of the right triangle is called the hypotenuse and the other two sides are the legs.

Selecting any of the acute angles as a reference, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides.

The image provided shows a right triangle whose hypotenuse is given. We are required to find the value of both legs.

Let's pick the angle of 30°. Its adjacent side is y. We can use the cosine ration, which is defined as follows:

\(\displaystyle \cos 30^\circ=\frac{\text{adjacent leg}}{\text{hypotenuse}}\)

\(\displaystyle \cos 30^\circ=\frac{y}{4\sqrt{2}}\)

Solving for y:

\(y=4\sqrt{2}\cos 30^\circ\)

Since:

\(\cos 30^\circ=\frac{\sqrt{3}}{2}\)

\(\displaystyle y=4\sqrt{2}\frac{\sqrt{3}}{2}\)

Simplifying:

\(\displaystyle y=2\sqrt{6}\)

Now we use the sine ratio:

\(\displaystyle \sin 30^\circ=\frac{\text{opposite leg}}{\text{hypotenuse}}\)

\(\displaystyle \sin 30^\circ=\frac{x}{4\sqrt{2}}\)

Solving for x:

\(x=4\sqrt{2}\sin 30^\circ\)

Since:

\(\sin 30^\circ=\frac{1}{2}:\)

\(\displaystyle x=4\sqrt{2}\frac{1}{2}\)

Simplifying:

\(\displaystyle x=2\sqrt{2}\)

The choices are not clear, but it seems like the correct answer is C.

\(\boxed{\displaystyle y=2\sqrt{6}}\)

\(\boxed{\displaystyle x=2\sqrt{2}}\)

Answer:

$43.50

Step-by-step explanation:

first you must find the original unit, so you divide 2 by 29 to get 1 scarf= $14.50, then you multiply that by three to get $43.50

Hope this helps :)

Answer:

3 scarves cost $43.5

Step-by-step explanation:

First we should calculate the price of one scarf

2 scarves = $29.00

1 scarf = $29.00÷2=$14.5

The cost of one scarf is $14.5

NOW we multiply it by 3; that way we'll find the cost of 3 scarves

1 scarf = $14.5

3 scarves = $14.5×3=$43.5

The cost of 3 scarves is $43.5

Learn more;work harder

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

Cultural sensitivity is crucial in elder care. Cultural beliefs impact elderly care. A foreign-raised nursing student desires to care for her mother and sisters until her mother's passing.

Consider cultural values: Students from certain backgrounds may see caring for their elderly parents as a moral duty. Respecting elder beliefs is critical in discussing care options. Have open, non-judgmental communication with the nursing student. Show empathy and listen to her perspective.

Educate the nursing student about caring for a loved one with medical and psychiatric problems. Explain physical, emotional, and financial consequences, including effects on relationships and responsibilities.

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Answer:

≈ 6 seconds

Step-by-step explanation:

When it says about hitting the ground, it means it hits the t-axis.

That means we have to solve for t-intercepts to find the solution.

Finding t-intercept, let y = 0.

\( \displaystyle \large{0 = - 16 {t}^{2} + 96t + 3}\)

Use the Quadratic Formula.

\( \displaystyle \large{t = \frac{ - b \pm \sqrt{ {b}^{2} - 4ac } }{2a} }\)

Substitute in a = -16, b = 96 and c = 3.

\( \displaystyle \large{t = \frac{ - 96 \pm \sqrt{ {96}^{2} - 4( - 16)(3)} }{2( - 16)} } \\ \displaystyle \large{t = \frac{ - 96 \pm \sqrt{ 9216 + 192} }{ - 32} } \\ \displaystyle \large{t = \frac{ - 96 \pm \sqrt{ 9408} }{ - 32} } \\ \displaystyle \large{t = \frac{ - 96 \pm 56 \sqrt{3} }{ - 32} } \\ \)

Then simplify to simplest form.

\( \displaystyle \large{t = \frac{ - 96 \pm 56 \sqrt{3} }{ - 32} } \\ \displaystyle \large{t = \frac{ 12\pm 7\sqrt{3} }{ 4} } \\ \)

Then use the highest value/root which is 12+7√3 over 4 then input it in a calculator and you will see that the highest root is close to 6.

We use the highest root because thats when y or height = 0 hence if height = 0 then the object finally hits the ground.

The expansion of the function \((3x - 4)^4\) simplifies to \(81x^4 - 432x^3 + 864x^2 - 768x + 256.\)

To expand the function \(f(x) = (3x - 4)^4\), we can use the binomial theorem. According to the binomial theorem, for any real numbers a and b and a positive integer n, the expansion of \((a + b)^n\) can be written as:

\((a + b)^n = C(n, 0)a^n b^0 + C(n, 1)a^{(n-1)} b^1 + C(n, 2)a^{(n-2)} b^2 + ... + C(n, n-1)a^1 b^{(n-1)} + C(n, n)a^0 b^n\)

where C(n, k) represents the binomial coefficient, which is given by C(n, k) = n! / (k!(n-k)!).

Applying this formula to our function \(f(x) = (3x - 4)^4\), we have:

\(f(x) = C(4, 0)(3x)^4 (-4)^0 + C(4, 1)(3x)^3 (-4)^1 + C(4, 2)(3x)^2 (-4)^2 + C(4, 3)(3x)^1 (-4)^3 + C(4, 4)(3x)^0 (-4)^4\)

Simplifying each term, we get:

\(f(x) = 81x^4 + (-432x^3) + 864x^2 + (-768x) + 256\)

Therefore, the expanded form of the function \(f(x) = (3x - 4)^4\) is \(81x^4 - 432x^3 + 864x^2 - 768x + 256\).

Note that the coefficient of \(x^3\) is -432, the coefficient of \(x^2\) is 864, the coefficient of x is -768, and the constant term is 256.

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Note the complete question is

The image of the original figure after the translation and reflection is congruent to the original figure.

A particular type of transformation on the coordinate plane called translation keeps the size of the point or geometrical shape constant while only changing the position. Along the x-axis and y-axis in the coordinate system, the point or the figure can be moved in any direction, including up, down, right, left, and multiple directions.

1. By taking away 4 from the x-coordinate and adding 8 to the y-coordinate, we can translate a point 4 units left and 8 units up.

2. Point A after translation is situated at (-2, 9).

3. We negate the x-coordinate and leave the y-coordinate unaltered to indicate a point over the y-axis.

4. Point B is obtained by reflecting point A over the y-axis (2, 9).

5. Indeed, the resulting representation is consistent with the original figure since the rigid transformations of translation and reflection maintain angles and distances. As a result, the original figure's picture after translation and reflection corresponds to the original figure.

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Answer:

30

Step-by-step explanation:

JL comprises of JK & KL. So ,

JL = JK + KL

Here the length of :-

KL= 9x + 3

JL = 55

JK = 7x + 4

So putting all the values above gives ,

7x + 4 + 9x + 3 = 55

=> 16x + 7 = 55

=> 16x = 55 - 7

= 48

=> x = 48/16 = 3

Using the value of x in finding the length of KL ,

KL = 9 × 3 + 3 = 27 + 3 = 30

Given

Solution

The only value of w that would make 15.3w greater than 15.3

w must be greater than 1

From all the given options, it is only 23/21 that is greater than 1

Answer:

N(n+1) = N(n)^2 - 1, n>=0, N(0) = 2

or equivalently

N(n) = N(n-1)^2 - 1, n>0, N(0) = 2

Step-by-step explanation:

Year 0 = 2 trees

year 1 = 2^2-1 = 3

year 2 = 3^2-1 =8

year 2 = 8^2-1 =63

...

Recursive formula

Let

n = integer year number

N(n) = number of trees to plant in year n

N(n+1) = N(n)^2-1, n>=0, N(0) = 2

or equivalently

N(n) = N(n-1)^2, n>0, N(0) = 2

Whats the options???

Answer:

  B. 3x¹¹ +9x⁷ +5x³ −x +4

Step-by-step explanation:

You want to identify the polynomial that has terms written in descending order of their degree.

The degree of a term is the exponent of x in that term. In the given polynomial, the term degrees are 3, 1, 7, 0, 11.

When these are put into descending order, that order is ...

  11, 7, 3, 1, 0

The answer to this question will be the polynomial with terms written in the order of their degree as shown above:

  3x¹¹ +9x⁷ +5x³ −x +4

__

Additional comment

When the exponent of x is 0, the value of the term x^0 is 1. That is why we can say the constant term is a term that has the variable to degree 0.

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