28 points to answer this questio(these are my last points please help)

Hello,

This number is already in stranded form.

If you want it in scientific notation its : 5.4003*10^6

Hope this helps a bit.

Answer:

[tex]5.4x10^{6}[/tex]

Step-by-step explanation:

The standard form refers to the way of writing large numbers in a smaller expression using power of 10, this is also called scientific notation.

To write this number in standard form, we have to the decimal point to the position between the 5 and the 4, and all spaces jumped represent the exponent of the 10 power, as follows

[tex]5400300=5.4x10^{6}[/tex]

Therefore, the standard form would be

[tex]5.4x10^{6}[/tex]

"More" means you're adding. So the problem would look like this...

3t + 4

I hope this is what you're looking for. :)

The store sold 1.25 footballs for every 2 basketballs.

To determine how many footballs were sold for every 2 basketballs, we can set up a ratio based on the information given. Let's denote the number of basketballs sold as [tex]\( B \)[/tex] and the number of footballs sold as [tex]\( F \)[/tex]. According to the problem, the store sold 2.5 times as many footballs as basketballs, which can be expressed as:

[tex]\[ F = 2.5B \][/tex]

Now, we want to find out how many footballs were sold for every 2 basketballs. To do this, we can divide both sides of the equation by 2 to find the number of footballs that correspond to 2 basketballs:

[tex]\[ \frac{F}{2} = \frac{2.5B}{2} \][/tex]

Simplifying the right side of the equation, we get:

[tex]\[ \frac{F}{2} = 1.25B \][/tex]

This means that for every 2 basketballs sold [tex](\( 2B \))[/tex], there were 1.25 footballs sold [tex](\( F \))[/tex]. Therefore, the store sold 1.25 footballs for every 2 basketballs.

Answer:

The solution in the attached figure

Step-by-step explanation:

we have

[tex]50q+43 > -11q+70[/tex]

Solve for q

Adds 11 q both sides

[tex]50q+43 +11q > 70[/tex]

[tex]61q+43 > 70[/tex]

Subtract 43 both sides

[tex]61q > 70-43[/tex]

[tex]61q > 27[/tex]

Divide by 61 both sides

[tex]q > \frac{27}{61}[/tex]

The solution is the interval ------> (27/61,∞)

All real numbers greater than 27/61

In a number line the solution is the shaded area at right of 27/61 (open circle)

A=wl

32 times 28=  896

i converted the feet and inches into just inches btw

Answer:

x = (5 + i sqrt(15))/4 or x = (5 - i sqrt(15))/4

Step-by-step explanation:

Solve for x:

2 x^2 - 5 x + 5 = 0

Hint: | Using the quadratic formula, solve for x.

x = (5 ± sqrt((-5)^2 - 4×2×5))/(2×2) = (5 ± sqrt(25 - 40))/4 = (5 ± sqrt(-15))/4:

x = (5 + sqrt(-15))/4 or x = (5 - sqrt(-15))/4

Hint: | Express sqrt(-15) in terms of i.

sqrt(-15) = sqrt(-1) sqrt(15) = i sqrt(15):

Answer: x = (5 + i sqrt(15))/4 or x = (5 - i sqrt(15))/4

The quadratic equation has an imaginary roots, which is can be calculated using the quadratic formula.

Any equation of the form [tex]\rm ax^2+bx+c=0[/tex]  Where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

As we know, the formula for the roots of the quadratic equation is given by:

[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]

We have a quadratic equation:

2x² - 5x + 5=0

Here a = 2, b = -5, and c = 5

[tex]\rm x = \dfrac{-(-5) \pm\sqrt{(-5)^2-4(2)(5)}}{2(2)}[/tex]

[tex]\rm x = \dfrac{5 \pm\sqrt{-15}}{4}[/tex]

[tex]\rm x = \dfrac{5 \pm i \sqrt{15}}{4}[/tex]  (√(-15) = 15i; i is the iota)

The roots are:

[tex]\rm x = \dfrac{5 + i \sqrt{15}}{4} \\\\\rm x = \dfrac{5 - i \sqrt{15}}{4}[/tex]

Thus, the quadratic equation has an imaginary roots, which is can be calculated using the quadratic formula.

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Problem 13

10p+10q factors to 10(p+q). If we apply the distributive property, we can distribute the 10 to each term inside (p and q) to get

10(p+q) = (10 times p)+(10 times q) = 10*p + 10*q = 10p+10q

so we get the original expression again. Here 10 is the GCF of the two terms.

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

Plug p = 1 and q = 2 into the factored form

10*(p+q) = 10*(1+2) = 10*(3) = 30

As a check, let's plug those p,q values into the original expression

10*p+10*q = 10*1+10*2 = 10+20 = 30

We get the same output of 30

She takes 20 seconds

Answer: A.  20 seconds  

Step-by-step explanation:

We know that if a function has a repeating pattern then it is called a periodic function (like sine or cosine).

The period is the length of the smallest interval that contains exactly one copy of the repeating pattern. It is the horizontal distance required for the graph of a periodic function to complete one cycle.

From the graph it can be seen that, the horizontal distance required for the graph of a periodic function= 20 .

Therefore,  it takes 20 seconds by Callie to complete one full swing.

Answer:

3.16 units

Step-by-step explanation:

It has been given that the triangles JKL and the triangle RST are congruent.

That implies that, the length of the side JK, KL, and JL is equivalent to the length of the sides RS, ST, and RT respectively.

Now, to find the length of JK we need to find the length of the side RS. The coordinates of the points R and S are [tex](-1,-2)[/tex] and [tex](2,-1)[/tex].

The length of the side RS is equal to the distance between point R and S.

RS [tex]=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]= \sqrt{(2-(-1))^2+(-1-(-(-2))^2}[/tex]

[tex]=\sqrt{3^2+(-1+2)^2}[/tex]

[tex]=\sqrt{9+1}=\sqrt{10}=3.16[/tex]

Now that we have the length of the side RS, and the triangles JKL and RST are congruent therefore, the length of the side JK is 3.16 units.

Answer:

sq root of 10 over 2

Step-by-step explanation:

took it on edge

note that +(-) is equivalent to -

thus the equation can be written as

n - 11 = 24 ( add 11 to both sides )

n = 24 + 11 = 35

we know that

distributive property of multiplication over addition:

[tex]a \times (b+c)=a \times b + a \times c[/tex]

now, we will verify each options

option-A:

3 × (4 + 5) = (3 × 4) + (3 × 5)

We can see that both sides match with property

so, this is TRUE

option-B:

3 × (4 + 5) = (3 + 4) × (3 + 5)

We can see that right side does not match with property

so, this is FALSE

option-C:

3 × (4 + 5) = (3 × 4) + 5

We can see that right side does not match with property

so, this is FALSE

To find the circumference of the circle, we need to know its radius. However, in this question, we are given the area of a square instead. We can use the relationship between the circle and square to solve the problem.

To find the circumference of a circle, we need to know its radius.

However, in this question, we are given the area of a square instead.

We can use the relationship between the circle and square to solve the problem.

First, let's find the side length of the square. The area of the square is given as 144 m².

We can find the side length by taking the square root of the area: √144 = 12 m.

Since the square and circle are related, the side length of the square is equal to the diameter of the circle.

Therefore, the radius (r) of the circle is half of the side length of the square, which is 6 m.

Now, we can find the circumference (C) of the circle using the formula C = 2πr.

Substituting the value of the radius, we get C = 2 × 3.14 × 6 ≈ 37.68 m.

Rounded to the nearest tenth, the circumference of the circle is approximately 37.7 m.

Final answer:

To calculate the circumference of the circle from the area of the square, we find the diameter of the circle (equal to the side length of the square) and divide it by two to get the radius. We then apply the formula C = 2πr using 3.14 for π to find the circumference, which is 37.7 m to the nearest tenth.

Explanation:

To find the circumference of the circle when the area of the square is 144 m², we need to understand the relationship between the square and the circle. First, let's determine the side length of the square. The area of the square (A) is given by the formula A = a², where a is the side length of the square. If the area is 144 m², we take the square root of 144 to find that a = 12 m. Now, since the circle fits perfectly inside the square, the diameter of the circle is equal to the side length of the square, which is 12 m. Hence, the radius (r) of the circle is half of that, so r = 6 m.

Now, we use the formula for the circumference of a circle, which is C = 2πr. Substituting the value of π with 3.14 and r with 6 m, we get C = 2 * 3.14 * 6. This results in a circumference of 37.68 m. To give the answer to the nearest tenth, we round it to 37.7 m. Therefore, the circumference of the circle is 37.7 m.

positive correlation

plz rate me

Answer:

Hello! I believe that this will help you find the line best fit.  

Step-by-step explanation:

Remember, for it to be a line best fit, you must find the two points that you think will be on the "line best fit".

9 to the power of three, or cubed = 720 which is between 600 and 800.

The number you're looking for would be a decimal between approximately 8.375 and 8.6. When these numbers are cubed, they fall in the range of 600 to 800.

The question at hand is asking about cubing a number to get a result that is larger than 600 but smaller than 800. We are looking to find the cube root of numbers in this range. The integer cube roots closest to this range are the cube root of 512 (which is 8) and the cube root of 729 (which is 9).

However, neither of these is a number that you could cube to end up in the 600 to 800 range. Therefore, the desired number is not a whole number, but a decimal. If you estimate, any number between 8.375 and 8.6, when cubed, should meet the condition—meaning it would be larger than 600 but still less than 800.

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Step 1.  Subtract 4y from both sides

5y + 18 - 4y = -3.2

Step 2. Simplify 5y + 1.8 -4y to y + 1.8

y + 1.8 = -3.2

Step 3. Subtract 1.8 from both sides

y = -3.2 - 1.8

Step 4. Simplify -3.2 - 1.8 to -5

y = -5

Your answer is A.

[tex]5y+1.8=4y-3.2\qquad|\text{subtract 1.8 from both sides}\\\\5y=4y-5\qquad|\text{subtract 4y from both sides}\\\\\boxed{y=-5}\to\boxed{a.}[/tex]

y=7 and x=-3c

Tell me if i got it wrong!

In the binomial development, the main problem is calculation of binomial coefficients.

If we want to get term a∧8*b∧2 we see that this is the third member in binomial development (n 2) a∧n-2*b∧2

The given binomial  is ((1/3)a∧2 - 3b)∧6, the first element is (1/3)a∧2, the second element is (-3b) and n=6 when we replace this in the formula we get

(6 2) * ((1/3)a∧2)∧(6-2) * (-3b)2 = (6*5)/2 * ((1/3)a∧2)∧4 *9b∧2= 15*(1/81)*9 *(a∧8b∧2) =

= 15*9* a∧8b∧2 = 135*a∧8b∧2

We finally get numerical coefficient 135

Good luck!!!

The numerical coefficient of the [tex]a^8*b^2[/tex] term in the expansion of [tex]((1/3)a^2 - 3b)^6[/tex] is -45/16.

The numerical coefficient of the [tex]a^8*b^2[/tex] term in the expansion of [tex]((1/3)a^2 - 3b)^6[/tex] can be found using the binomial theorem, which states that [tex](x+y)^n = \sum (n choose k) x^(^n^-^k^) y^k[/tex] where the sum is from k=0 to n. Here, x = [tex](1/3)a^2[/tex], y = -3b, and n = 6.

In the term [tex]a^8*b^2, a^2[/tex] is raised to the 4th power and -3b is raised to the 2nd power. Hence, we are looking for the coefficient in the term in the binomial expansion where [tex](1/3)a^2[/tex] is raised to the 4th power and -3b is raised to the 2nd power.

This can be calculated by multiplying together the coefficient '6 choose 4', the 4th power of [tex](1/3)a^2[/tex], and the 2nd power of -3b.

That leads to coefficient =[tex](6 choose 4)*((1/3)^4)*(-3)^2 * a^8 * b^2[/tex]. After calculation this simplifies to -45/16.

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In the given equation (L = 1.25m), 1.25 means that the length of the Maya hair increased by 1.25 centimeters every month.

Given :

The following steps can be used in order to determine the meaning of 1.25:

Step 1 - According to the given data, Maya shaved her head and then began letting her hair grow.

Step 2 - It is also given that, L is the length of the hair in centimeters and m represents the month after she shaved her head.

Step 3 - The equation that represents the given situation is:

L = 1.25m

Step 4 - In the above equation 1.25 means that the length of the Maya hair increased by 1.25 centimeters every month.

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Answer:

Her commission on that sale is $3,498

Step-by-step explanation:

1. You have the following information given in the problem above:

- She sells the house for $159,000.

- Her rate of commission is 2.2% (0.022).

2. Therefore, to solve this problem you only need to multiply $159,000 by 2.2% (0.022), as following:

[tex](159,000)(0.022)=3,498[/tex] dollars

Final answer:

To find the discount percentage, subtract the sale price from the original price, divide the difference by the original price, and multiply by 100. Paolo's hat was discounted by 20%.

Explanation:

To calculate the percentage of the discount that Paolo received on the hat, we need to find the difference between the original price and the sale price, and then divide that difference by the original price. Afterward, we multiply the result by 100 to get the percentage.

The original price of the hat was $35, and Paolo paid $28. The difference between the original price and the sale price is $35 - $28 = $7. Therefore, the discount is $7.

Now, we calculate the percentage discount: ($7 / $35) x 100 = 20%. So, the hat was discounted by 20%.

To find the time it takes for the area to be at least 5 times its original size, we need to solve an equation involving the rates of increase for the length and width of the rectangle. The original area is 32 km² and the rates of increase are both 3 km/sec. By substituting these values into the equation and solving for time, we can determine the answer.

To determine how long it takes for the area A to be at least 5 times its original size, we first need to find the original area and then solve for the time it takes for the area to reach 5 times that value.

The original area is equal to the length multiplied by the width, so it is A = 4 km * 8 km = 32 km².

Let's denote the rate at which the length and width increase as dl/dt and dw/dt respectively. We know that dl/dt = dw/dt = 3 km/sec.

To find the time it takes for the area to be 5 times its original size, we need to solve the equation 32 + 3l(t) * 3w(t) = 5 * 32, where l(t) and w(t) are the length and width at time t.

Simplifying the equation, we get 9lw - 160 = 0.

Since we're given the rates at which l and w increase, we can substitute l and w with their formulas: l(t) = 4 + 3t and w(t) = 8 + 3t.

Substituting these formulas into the equation, we get 9(4 + 3t)(8 + 3t) - 160 = 0.

Solving this equation will give us the value of t, which represents the time it takes for the area to be at least 5 times its original size.

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The fromula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have A(4, 3) and m = 3.

(0, 3)

[tex]\dfrac{3-3}{0-4}=0\neq3[/tex]

(5, 0)

[tex]\dfrac{0-3}{5-4}=\dfrac{-3}{1}=-3\neq3[/tex]

(3, 0)

[tex]\dfrac{0-3}{3-4}=\dfrac{-3}{-1}=3\qquad CORRECT[/tex]

(0, 0)

[tex]\dfrac{0-3}{0-4}=\dfrac{-3}{-4}=\dfrac{3}{4}\neq3[/tex]

Answer:

The given Expression is

[tex]4\sqrt{16x^4y^12[/tex]

= 4 × terms under square root are non negative.so we can break it into different terms.

= 4 × √16 ×[tex]\sqrt{x^4}\times\sqrt {y^{12}}[/tex]

Breaking into factors

= 4 × [tex]\sqrt{2\times2\times\times2\times2 } \times\sqrt{x \times x \times x \times x } \times \sqrt{ y \times y \timesy \times y \timesy \times y \times y \times y \times y \times y \times y \times y \times y \times y[/tex]

= 4× [tex]2 \times2 \times x \times x \times y\times y\times y\times y\times y\times y[/tex]

= 16× [tex]x^{1+1}\times y^{1+1+1+1+1+1}[/tex]

= 16 [tex]x^2 y^6[/tex]

The solution of the expression 4√(16x⁴y¹²) will be 16x²y⁶.

The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.

The given expression is  4√(16x⁴y¹²). The expression will be solved as:-

E =  4√(16x⁴y¹²)

E = 4 √ [( 4 x 4 ) ( x² x x² ) ( x⁶ x x⁶ )]

E = 4 ( 4 x x² x y⁶ )

E = 16x²y⁶.

Therefore, the solution of the expression 4√(16x⁴y¹²) will be 16x²y⁶.

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Answer:

[tex]\left \{ {{x+y=745} \atop {23.50x+58.75y=29,668.75}} \right.[/tex]

Step-by-step explanation:

1. You must analize the information given in the problem.

2. The first equation:

- [tex]x[/tex] represents the number of copies of the home edition sold and [tex]y[/tex] represents the number of copies of the business edition sold.

- A total of 745 copies were sold last week.

- Therefore, if you add the number of copies of the home edition sold and the number of copies of the business edition sold, you will obtain a total of 745 copies, which you can express as below:

[tex]x+y=745[/tex]

3. The second equation:

-  The cost of each version is:

[tex]23.50x\\58.75y[/tex]

- If the company earned a total of $29,668.75, you have:

[tex]23.50x+58.75y=29,668.75[/tex]

C. 26 degrees Celsius

Answer:

The temperature on the thermometer is 26°C

Step-by-step explanation:

The image is very clear.

To answer this question you need to know the scale of the thermometer.

As between 20 and 30 there are 5 "spaces" (four lines) , we should divide

10 (the difference between 30 and 20) by 5.

10/5= 2

So each line means 2 °C

As there are 3 lines painted in red after 20, the answer is:

20+3*2= 26°C