HELP I RLLY NEED IT

Answer with step-by-step explanation:

We are given that at one farmer’s market, bananas cost $0.80 per pound while at another market, bananas are sold in 5 pound bags for $4.50 per bag.

We are to explain how to find the better buy.

For the first market, the rate of bananas is given per pound but for the other market, the rate is given for a 5 pound bag so we will find the rate of bananas per pound to compare the rates of both markets.

One pound of bananas at 2nd market = 4.50/5 = $0.9

Therefore, getting bananas from the first market at $0.80 per pound is a better buy.

Answer: A

Step-by-step explanation:on My quiz I got it right

For a standard normal distribution, the standard deviation is always equals 1

Z score is used to determine by how many standard deviations the raw score is above or below the mean.

It is given by:

z = (raw score - mean) / standard deviation

For a standard normal distribution, the standard deviation is always equals 1

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Answer:

5i[tex]\sqrt{3}[/tex]

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]

and [tex]\sqrt{-1}[/tex] = i

Given

[tex]\sqrt{-75}[/tex]

= [tex]\sqrt{25(3)(-1)}[/tex]

= [tex]\sqrt{25}[/tex]  × [tex]\sqrt{3}[/tex] × [tex]\sqrt{-1}[/tex]

= 5 × [tex]\sqrt{3}[/tex] × i

= 5i[tex]\sqrt{3}[/tex]

Answer: 12

Step-by-step explanation: Multiply the chances of getting a marble, 4, and the chances of spinning the spinner, 3.

4 x 3 = 12

There are 12 outcomes.

Answer:12

Step-by-step explanation:

I did the test

Answer:

[tex]\large\boxed{\sqrt{2^2}\cdot\sqrt{2^2}\cdot\sqrt2\cdot\sqrt5\cdot\sqrt7\cdot\sqrt{y^2}\cdot\sqrt{y}}\\\boxed{2\cdot2\cdot y\sqrt{2\cdot5\cdot7\cdot y}}\\\boxed{4y\sqrt{70y}}[/tex]

Step-by-step explanation:

[tex]\begin{array}{c|c}1120&2\\560&2\\280&2\\140&2\\70&2\\35&5\\7&7\\1\end{array}\\\\1,120=2\cdot2\cdot2\cdot2\cdot2\cdot5\cdot7=2^2\cdot2^2\cdot2^2\cdot2\cdot5\cdot7\\\\y^3=y\cdot y\cdot y=y^2\cdot y[/tex]

[tex]\sqrt{1,120y^3}=\sqrt{2^2\cdot2^2\cdot2\cdot5\cdot7\cdot y^2\cdot y}\qquad\text{use}\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\\\=\sqrt{2^2}\cdot\sqrt{2^2}\cdot\sqrt2\cdot\sqrt5\cdot\sqrt7\cdot\sqrt{y^2}\cdot\sqrt{y}\\\\\sqrt{1,120y^3}=\sqrt{2^2}\cdot\sqrt{2^2}\cdot\sqrt{y^2}\cdot\sqrt{2\cdot5\cdot7\cdot y}\qquad\text{use}\ \sqrt{a^2}=a\\\\=2\cdot2\cdot y\cdot\sqrt{2\cdot5\cdot7\cdot y}\\\\\sqrt{1,120y^3}=2\cdot2\cdot y\cdot\sqrt{2\cdot5\cdot7\cdot y}=4y\sqrt{70y}[/tex]

Answer:  The correct options are

(2) The coefficient is 2.

(3) The constant is 5.

(6) There are two terms.

Step-by-step explanation:  Given that Javier used the expression below to represent his score in a game of mini-golf :

[tex]E=3x+x+5-2x~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

We are to select the correct statements about the parts of the simplified expression if Javier simplifies the expression.

The simplification of expression (i) is as follows :

[tex]E\\\\=3x+x+5-2x\\\\=(3+1-2)x+5\\\\=2x+5.[/tex]

Therefore, we get

the constant term is 5,

the coefficient of x is 2

and

There are two terms.

Thus, options (2), (3) and (6) are correct.

Answer:

think its 2 3 and 6

Step-by-step explanation:

sorry if im late

Answer:

the number 6 is in the tenths place.

Hope this helps!

Answer: 84 inches, 7 feet tall.

Step-by-step explanation:

4 x 21 = 84 inches

84/12 = 7 feet ( there are 12 inches in 1 foot)

The question revolves around understanding the concepts of fixed costs, marginal costs, and economies of scale in the context of a computer manufacturing company. The company's ability to make substantial profits over a period of four years marks an effective management of these costs and leveraging economies of scale.

The computer company's scenario primarily involves understanding the concept of fixed costs and marginal costs in a business context. The fixed cost noted here is $250, which remains constant irrespective of the number of computers produced. The marginal cost, on the other hand, is variable depending on the volume of production.

For example, the company's marginal cost for producing computers is $700 for the first one, $250 for the second, and so on. The total cost is obtained by adding the fixed cost and the total variable (marginal) costs. Understanding these costs is critically important for the company to make decisions about pricing its products to achieve desired profit margins.

It means that if the company managed to make profits of $80 million after 4 years, they have effectively managed their fixed and variable costs and priced their computers profitably. In this example, by leveraging the economies of scale, that is, an advantage that companies gain when production becomes efficient with the increasing scale of output, the company has managed to reduce the average cost of production and increase profits.

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Answer:

(2x-7) units

Step-by-step explanation:

[tex]\tt length=\cfrac{area}{width}\\\\\\ length=\cfrac{24x^3-76x^2-28x}{12x^2+4x}=\cfrac{4x(6x^2-19x-7)}{4x(3x+1)}=\\\\\\=\cfrac{6x^2+2x-21x-7}{3x+1}=\cfrac{2x(3x+1)-7(3x+1)}{3x+1}=\\\\\\=\cfrac{(3x+1)(2x-7)}{3x+1}=2x-7[/tex]

The length of the rectangle can be found by dividing the area given as (24x³-76x²-28x) by the width given as (12x²+4x). This simplifies to 2x - 7 units which is the expression for the length of this rectangle.

In mathematics, to find the length of a rectangle when given the area and the width, you have to divide the area by the width. The area A is given as 24x³-76x²-28x square units, and the width w is given as (12x²+4x) units. Following the formula A = lw, where l is length and w is width, the length can be found by rearranging this formula to l = A/w.

Applying this to the given values: l = (24x³-76x²-28x) / (12x²+4x) simplifies to l = 2x - 7 units. Therefore, the expression for the length of the rectangle is 2x - 7 units.

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5a+8

Answer is NOT 5a+8

5(a+3) Multiply the bracket by 5

5(a)+5(3)

5a+15

Correct answer is supposed to be: 5a+15

Answer:

x=-7

Step-by-step explanation:

If a line is parallel to the y-axis, then it is vertical because the y-axis is vertical.

A vertical line is in the form of x=a number.

Since the line we are looking for is 7 units to the left of the y-axis, then the line is x=-7.  -7 is 7 units left of 0.

7 units right would have been x=7.

Answer:

Step-by-step explanation:

A line parallel to y-axis is a vertical line.

A vertical line has an equation x = a, where a is any real number.

The line is 7 units to the left of the y-axis. Therefore  the equation of this line is x = -7 (look at the picture).

[tex]\bf 60z+50-97z=-37z+49\implies 50~~\begin{matrix} -37z \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~=~~\begin{matrix} -37z \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~+49\implies \stackrel{\textit{the what?!}}{50=49}[/tex]

well, clearly 50 ≠ 49.

but, whenever we get a result of this kind, is just a way to say no solutions.

you can look at it this way, is a system of equations, the equations are

y = -37z + 50

y = -37z + 49

now, notice, since both equations are in slope-intercept form, both equations have the same slope of -37, however, the y-intercept differs, meaning both equations are parallel and never touch each other.

since a solution for them is where they intercept and they never do, no solutions.

The given equation will have no solution.

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Given is an equation,  60z+50-97z=-37z+49

On solving, we get,

0 = -1

Which is not possible.

Hence, There is no solution.  

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Answer:

x = 2.

Step-by-step explanation:

9(x + 1) = 25 + x

9x + 9 = 25 + x

Subtract x from both sides:

9x - x + 9 = 25

Subtract 9 from both sides:

9x - x = 25 - 9

8x = 16

x = 16/8 = 2.

Answer:

x = 2

Step-by-step explanation:

Given

9(x + 1) = 25 + x ← distribute parenthesis on left side

9x + 9 = 25 + x ( subtract x from both sides )

8x + 9 = 25 ( subtract 9 from both sides )

8x = 16 ( divide both sides by 8 )

x = 2

Answer:

Step-by-step explanation:

[tex]\begin{array}{c|c}x&f(x)\\-7&\boxed{-3}\\-3&5\\2&-4\\4&-8\end{array}[/tex]

From the table we have f(-7) = -3

Answer:

f(-7) = -3

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Solve the equation for x:

3(x + 5) = -4x + 8

Distribute.

3x + 15 = -4x + 8

Combine like terms.

3x + 15 = -4x + 8

+4x         +4x

7x + 15 = 8

     -15   -15

7x = -7

Divide both sides by 7.

x = -1

The following equation has one solution, x = -1.

Answer:

1 solution,  x = -1.

Step-by-step explanation:

3(x + 5 )= −4x + 8

3x + 15 = -4x + 8

3x + 4x = 8 - 15

7x = -7

x = -1.

Answer:

4.2 meters.

Step-by-step explanation:

Area = 1/2 * base * height.

6.72 = 1/2 * 3.2 * h

h = 6.72 / 1.6

= 4.2 m.

Answer:

4.2 meters

Step-by-step explanation:

The height of a triangle with an area of 6.72 square meters and a base of 3.2 meters is 4.2 meters.

6.72 = 1/2 * 3.2 * h

[tex]\bf \textit{Product to Sum Identities} \\\\ sin(\alpha)sin(\beta)=\cfrac{1}{2}[cos(\alpha-\beta)\quad -\quad cos(\alpha+\beta)]\qquad \leftarrow \textit{we'll use this one} \\\\\\ cos(\alpha)cos(\beta)=\cfrac{1}{2}[cos(\alpha-\beta)\quad +\quad cos(\alpha+\beta)] \\\\\\ sin(\alpha)cos(\beta)=\cfrac{1}{2}[sin(\alpha+\beta)\quad +\quad sin(\alpha-\beta)][/tex]

[tex]\bf cos(\alpha)sin(\beta)=\cfrac{1}{2}[sin(\alpha+\beta)\quad -\quad sin(\alpha-\beta)] \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ sin(5x)sin(3x)\implies \cfrac{cos(5x-3x)-cos(5x+3x)}{2}\implies \cfrac{cos(2x)-cos(8x)}{2}[/tex]

Answer:[tex] \frac{1}{2}\left ( cos\left ( 2x\right )-cos\left ( 8x\right )\right )[/tex]

Step-by-step explanation:

Solution

[tex]Sin\left ( 5x\right )Sin\left ( 3x\right )[/tex]

We know

[tex] 2sin\left ( a\right )sin\left ( b\right )=cos\left ( a-b\right )-cos\left ( a+b\right ) [/tex]

Applying formula

[tex]Sin\left ( 5x\right )Sin\left ( 3x\right )=\frac{1}{2}\left ( cos\left ( 5x-3x\right )-cos\left ( 5x+3x\right )\right )[/tex]

=[tex] \frac{1}{2}\left ( cos\left ( 2x\right )-cos\left ( 8x\right )\right ) [/tex]

Answer: 120 cm.

Step-by-step explanation: Each triangle has 3 sides, and each side is 1 cm. Multiply the number of sides for one triangle by the total number of triangles. 3 x 40=120. The perimeter is 120 cm.

[tex]\bf \textit{volume of a square pyramid}\\\\ V=\cfrac{1}{3}Bh~~ \begin{cases} B=area~of\\ \qquad its~base\\ h=height\\ \cline{1-1} B=\stackrel{4\times 4}{16}\\ V=37.3 \end{cases}\implies 37.3=\cfrac{1}{3}(16)h\implies 111.9=16h \\\\\\ \cfrac{111.9}{16}=h\implies 6.99375=h[/tex]

Answer:

6.99

Step-by-step explanation:

To find the height use the formula 3*V/b squared

So plug the numbers you have which is the base and volume

3*37.3/4 squared

Now solve:

4 squared = 16

3*37.3 = 111.9

111.9/16 = 6.99375

6.99375 can be rounded down to 6.99

Answer:

Area = [tex]\frac{75}{4} \sqrt{15} sq mm[/tex]

Step-by-step explanation:

Here we are given with all the sides of the triangle , and we are asked to find the area of it. we will use Heron's Formula to find the area. The formula is as under

Area [tex]= \sqrt{s\times (s-a) \times (s-b) \times (s-c)}[/tex]

Where [tex]s= \frac{a+b+c}{2}[/tex]

Where a , b and c are the three sides of the triangle

a=15 , b=10 and c=20

Substituting those values in the two formula one by one we get

[tex]s=\frac{15+10+20}{2}[/tex]

[tex]s=\frac{45}{2}[/tex]

now putting this value of s in main formula we get

Area= [tex]\sqrt{s\times (s-a) \times (s-b) \times (s-c)}[/tex]

Area = [tex]\sqrt{\frac{45}{2} \times (\frac{45}{2}-15) \times (\frac{45}{2}-10) \times (\frac{45}{2}-20)}[/tex]

Area = [tex]\sqrt{\frac{45}{2} \times (\frac{45-30}{2}) \times (\frac{45-20}{2}-) \times (\frac{45-40}{2})}[/tex]

Area = [tex]\sqrt{\frac{45}{2} \times (\frac{15}{2}) \times (\frac{25}{2}) \times (\frac{5}{2})}[/tex]

Area = [tex]\sqrt{\frac{45}{2} \times (\frac{15}{2}) \times (\frac{20}{2}-) \times (\frac{5}{2})}[/tex]

Area = [tex]\frac{1}{4} \sqrt{45 \times 15 \times 25 \times 5}[/tex]

Area = [tex]\frac{1}{4} \sqrt{45 \times 15 \times 25 \times 5}[/tex]

Area = [tex]\frac{1}{4} \sqrt{9 \times 5 \times 5 \times 3 \times 25 \times 5}[/tex]

Area = [tex]\frac{3\times 5 \times 5}{4} \sqrt{3 \times5}[/tex]

Area = [tex]\frac{75}{4} \sqrt{15}[/tex]

The area of a triangle with legs that are 15 mm, 10 mm, and 20 mm is [tex]72.618 mm^{2}[/tex]

For example;

                    =  1/2 x base x height

For example;

In this case we are given, a = 15 mm, b = 10 mm, c = 20 mm

Therefore, we use the Heron's formula;

Area= [tex]s\sqrt{s(s-a)(s-b)(s-c)}[/tex]

 [tex]s =\frac{(a+b+c)}{2}[/tex]

[tex]s= \frac{(15+10+20)}{2} \\s= 22.5[/tex]

Therefore;

Area = [tex]s\sqrt{s(s-a)(s-b)(s-c)}[/tex]

       = [tex]22.5\sqrt{12.5(12.5-15)(22.5-10)(22.5-20)}[/tex]

       =[tex]\sqrt{22.5(7.5)(12.5)(2.5)} \\\sqrt{5273.4375}[/tex]

[tex]= 72.618 mm^{2}[/tex]

Keywords: Area, Area of a triangle, Heron's formula, Sine formula, Scalene triangle.

Level: Middle school

Subject; Mathematics  

Topic: Area

Sub-topic: Area of a triangle

Answer:

  area ≈ 24π

Step-by-step explanation:

We have solved this problem two ways:

__

Drawing

A drawing of the figure (below) can help you find the radius of circle O. It is about 4.89 inches, so the area of circle O is about ...

  area = πr^2 = π(4.89 in)^2 ≈ 23.9π ≈ 24π . . . .square inches

__

Formulas

There is an interesting relationship between the area of the triangle and the radius of the circumscribing circle:

  r = (abc)/(4A) . . . . . where a, b, c are the triangle side lengths, and A is the triangle area

Heron's formula can tell us the area of the triangle from the side lengths:

  A = √(s(s-a)(s-b)(s-c)) . . . . where s = (a+b+c)/2

For the given triangle with side lengths 4, 5, and 8 (inches), the area can be found as ...

  s = (4+5+8)/2 = 8.5

  A = √(8.5·4.5·3.5·0.5) = √66.9375 ≈ 8.1815 . . . square inches

Then the radius of the circle is ...

  r = (4·5·8)/(4·8.1815) = 4.889 . . . inches

The area of the circle is then ...

  Circle O area = πr^2 = π(4.889 in)^2 = 23.9π in^2

__

The closest answer choice is 3.14×22.

Step-by-step explanation:

Use (a+b)²= a²+2ab+b² formula

We can see that a²=81n² (so a=9n) and b²=100 (so b=10) and 2ab = 2*9n*10=180n.

therefore only √(81n²+180n+100) would be perfect square and this - isn't.

Answer:

The correct answer options are,

A: 0

B: There is one real root with a multiplicity of 2.

Step-by-step explanation:

Discriminant of a quadratic equation ax² + bx + c = 0 is given by,

b² - 4ac

It is given a quadratic equation 9x² + 24x + 16 = 0

To find the discriminant

Here a = 9, b = 24 and c = 16

Discriminant = b² - 4ac

 = 24² - (4 * 9 * 16)

 = 576 - 576

 = 0

The correct options are

A: 0

B: There is one real root with a multiplicity of 2.

The discriminant of the quadratic equation 9x^2+24x+16=0 is 0, which means there is one real root with a multiplicity of 2.

Let's examine the quadratic equation 9x^2+24x+16=0 to find the discriminant and interpret its meaning for the roots of the equation.

A: The discriminant of a quadratic equation in the form ax^2+bx+c=0 is given by the formula b^2-4ac. Substituting the coefficients from our equation (where a=9, b=24, and c=16) into this formula gives us the discriminant:

discriminant = b^2 - 4ac = 24^2 - 4(9)(16) = 576 - 576 = 0.

B: The discriminant tells us about the nature of the roots of the quadratic equation. Since the discriminant is zero, this implies that there is one real root with a multiplicity of 2. Therefore, the quadratic equation has a perfect square factor and the graph of the equation touches the x-axis at one point, indicating that both roots are the same.

Answer:

x=7

y=-1

Step-by-step explanation:

When the two equations are solved together, they form simultaneous equations.

x+y=6

x-y=8

Let us use the elimination method. if we add the two equations, we eliminate y.

2x=14

x=7

Let us substitute for the value of x obtained above.

x-y=8

7-y=8

y=7-8

y=-1

1 MILLIliter, namely one thousandth of a liter, meaning there are 1000 mLs in one liter.

the spoon holds 5 mL, how many are there in 1 liter? namely how many times is 5 in 1000?  simply 1000 ÷ 5 = 200.

The number of spoon that will hold 1 litre of liquid is 200 spoons.

Measurement is use to show the amount of something.

The small measuring spoon holds 5 millilitres . Therefore, the number of spoon that can hold 1 litres  can be calculated as follows;

Let's convert

1000 ml = 1 l

5 ml = 1 spoon

1000 ml = ?

number of spoon = 1000 / 5

number of spoon = 200

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Answer:

Option A) y=1000(1.15)^6   2313 bacteria

Step-by-step explanation:

The initial value is 1,000 and the growth factor would be the the 15%.

15% can be rewritten to .15, but you have to have to add 1 for the start to make the equation easier. Thus making the growth factor 1.15

After multiplying 1000(1.15)^6 you will get 2313.06076562 which is simplified to 2,313 bacteria.

Hope this is helpful. :)

The population of the culture 6 days after inoculation is y = 1,000(1.15) 2,313 bacteria.

According to the given statement, a growth medium exists inoculated with 1,000 bacteria.

Bacteria grow at a rate of 15% = 0.15

Add 1 to create it easier = 0.15 + 1 = 1.15

We have to estimate the population of the culture 6 days after inoculation.

[tex]= 1000(1.15)^6[/tex]

= 1000(2.313)

= 2313 bacteria

The population of the culture 6 days after inoculation = 2313 bacteria

Therefore the correct answer is y = 1,000(1.15) 2,313 bacteria.

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So,

[tex]y>1\wedge y>x[/tex]

1. Graph each inequality separately.

2. Choose a test point to determine which side of the line needs to be shaded.

3. The solution to the system will be the area where the shadings from each inequality overlap one another (purple area)

As for the system of inequalities we say it's unbounded.

For this case we have the following data:

Available quantity: $ 24

Regular price: r

Sale price:[tex]r-5[/tex]

If we have that Roopesh can not pay more than $ 24, we can write the following inequality, taking into account that the item is sold in [tex]r-5[/tex]:

[tex]r-5 \leq24[/tex]

Clearing r:

[tex]r \leq24+5\\r \leq29[/tex]

Answer:

[tex]r \leq29[/tex]

[tex]r-5[/tex]

The sale price decreases $ 5 and so the regular price is obtained.

Answer:

answer in pic