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Answer: True.

Step-by-step explanation:

Here we have the number:

26,59,360

To find the place value of the 5, we first need to count the number of decimals at the right of the 5 (until we reach the decimal point)

For this case, at the left of the 5 we have 4 decimals (9, 3, 6 and 0)

Then the place value of the 5 in that number will be 10^4

this is equal to:

10^4 = (10)*(10)*(10)*(10) = 10,000

This means that the place value of the 5 is then thousand.

Then the statement is true.

Answer:

x=2y

Step-by-step explanation:

If you look at the x values, they are double y values.

For example, when y=1 x=2

When y=2 x=4

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Answer: To factor the expression -14 - (-8) completely using the distributive law, we need to simplify it first.

Remember that when we subtract a negative number, it is equivalent to adding the positive number. Therefore, -(-8) is the same as +8.

So the expression becomes:

-14 + 8

To factor it further using the distributive law, we can rewrite the addition as multiplication by distributing the -14 to both terms:

(-14) + (8) = -14 * 1 + (-14) * 8

This can be simplified as:

-14 + 8 = -14 * 1 + (-14) * 8 = -14 + (-112)

Finally, we can add the two negative numbers to get the result:

-14 + (-112) = -126

Therefore, the expression -14 - (-8) factors completely as -126.

Step-by-step explanation:

Because probability is always one(1).

Probability =

\(1 - \frac{2}{10} \)

\( \frac{8}{10} \)

\( \frac{4}{5} \)

Is the probability of not choosing a red marble.

Answer:

Step-by-step explanation:

The angle between two secants is half the difference of intercepted arcs.

Substitute the arc values and calculate

Answer:

∠ACB = 30°

Step-by-step explanation:

Finding ∠ACB :

area =729 feet square and perimeter =  108 feet

Given the side of a square is 9 cm.

The scale is given as :

1 cm = 3 feet Since 1 cm represents 3 feet.

Therefore, 9 cm will represent = 9 x 3 feet= 27 feet

So the side of the square is 27 feet.Therefore, its area = Side x side= 27 x 27 = 729 feet square

And the perimeter =  4 x side= 4 x 27= 108 feet

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Answer:

15. 4x¹⁰

16. 30m³

Step-by-step explanation:

15. Area of Rectangle is given by A=LW

    since W=x⁵ and L is 4 times W, L=4x⁵

    therefore, A = x⁵(4x⁵) = 4x¹⁰

16. Volume of Rectangular Prism is V=LWH

    W=6L=6m  and  H=5L=5m  and  L=m

   so V = m(6m)(5m) = 30m³

The value of y when x is 40 is given as follows:

y = 400.

It means that 40 copies of the book were purchased, each at $100.

A proportional relationship is defined as follows:

y = kx.

In which k is the constant of proportionality.

The variables in this problem are given as follows:

Each book sells for $10, hence the constant is given as follows:

k = 10.

Then the equation is given as follows:

y = 10x.

The value of y when x is 40 is given as follows:

y = 10 x 40

y = 400.

The problem is incomplete, hence we suppose that we have that each book sells for $10, and then model a proportional relationship with it.

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Answer:

after 42 months he has $2,696 in interest

compound quarterly is equivalent to annual rate of 4.835%

Part b

after 42 months he has $2,713 compound continuously

the diffrence is $17  

15000 + 4.75% · 42  compound quarterly is $2,696

15000 + 4.75% · 42 compound continuously is $2,696

Answer:

Step-by-step explanation:

Stop posting FLVS questions on this website. It is illegal, and you can be expelled from the program. :)

The mean of the population can be calculated by finding the sum of all the heights and dividing it by the total number of observations.

This is also known as the arithmetic mean and can be represented by the formula:

Mean = (Sum of Observations) / (Number of Observations)

In this case, the sum of all the heights is 10,800 and the total number of observations is 100. Therefore, the mean of the population is:

Mean = 10,800 / 100 = 108 inches

To verify this result, we can also look at the histogram. Since the heights are grouped into intervals of 10 inches, the mean should be around the midpoint of the tallest bar, which is 108 inches. This confirms our calculation of the mean.

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The polynomial function is f(x) = 1/4 (x+2)² (x-4)

The visual representation of mathematical functions or data points on a Cartesian coordinate system is an x-y axis graphic.

f(x) = c (x± a\()^{m}\)(x± b\()^{n}\)

So, x= -2, x=4

(x+2) even,   (x-4) odd

(x+2)²,   (x-4)¹ odd

f(x) = c(x+2)² (x-4)¹

y intercept  (0, -4)

-4 = c (4) (-4)

c = 1/4

polynomial function is f(x) = 1/4 (x+2)² (x-4)

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The polynomial function is \(f(x)=\frac{1}{4} (x+2)^2\ (x-4)\). One independent element makes up a polynomial function.

An x-y axis graphic is a visual representation of mathematical functions or data elements on a Cartesian coordinate system.

A polynomial function's graph is essentially a continuous, smoooth shape. You can use a few key features of this kind of graph to help construct the curve. I'll explain how to use the polynomial function's leading component to analyze the graph's final behavior.

\(f(x)=c(x\ \± a)^m\ (x\ \±b)^n\)

So, x= -2, x=4

(x+2) even, (x-4) odd

(x+2)², (x-4)¹ odd

f(x) = c(x+2)² (x-4)¹

y intercept  (0, -4)

-4 = c (4) (-4)

c = 1/4

polynomial function is f(x) = 1/4 (x+2)² (x-4)

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Answer:

35-2(6)

= 23

Prime number

Step-by-step explanation:

Answer:

23 . It is a prime number.

Step-by-step explanation:

\(35 - 2x \\ x = 6 \\ \\ 35 - 2(6) \\ = 35 - 12 \\ \)

Simplify

\(23\)

Step-by-step explanation:

find the y intercept then graph using your slope

Answer:

-2b - 7a + 8c - 14

Step-by-step explanation:

-(12a + 14 ) = -12a -14

-7b + 8c - 12a -14 + 5a + 5b

-2b - 7a + 8c - 14

The checkboxes are denoted by brackets ([]) for checked and 'x' for unchecked states, respectively.

The fertilizing techniques that would be most effective for each example are as follows:

1. Farm with numerous workers and sensitive crops:

a. UDP (Unchecked )

b. Precision management (Checked)

2. A gardener raising produce for a family:

a. UDP (Checked).

b. Precision management (Unchecked )

3. Company that delivers corn to 10 states:

a. UDP (Unchecked)

b. Precision management (Checked)

Please note that the checkboxes are denoted by brackets ([]) for checked and 'x' for unchecked states, respectively.

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Answer:

1 hour and 50 minutes

Step-by-step explanation:

Time Connie takes to clean the house: 210 minutes

Time takes for both of them at the same time: 100 minutes.
210 - 100 = 110 minutes

Therefore, Alvaro takes one hour and 50 minutes to clean the house by himself.

Answer:Alvaro can clean the house alone in approximately 3.89 hours.

Step-by-step explanation:

If Connie can clean her house in 3.5 hours, then her rate of work is 1/3.5 of the house per hour. Together, Connie and Alvaro can clean the house in 1 hour and 40 minutes, or 1.67 hours.

To find how long it would take Alvaro to clean the house alone, we can use the formula:

combined rate of work = sum of individual rates of work

So, (1/3.5 + 1/a) * 5/3 = 1, where "a" is the time it takes Alvaro to clean the house alone.

Simplifying the equation, we get 1/a = 9/35, which means that Alvaro can clean the house alone in approximately 3.89 hours (or 3 hours and 53 minutes).

The equation of the line in point-slope form is y + 1 = 2(x + 8).

What is equation of line?

An equation with terms that have variables x and y independently and a degree of one is referred to be a line equation in a two-dimensional coordinate system. A linear equation is any equation with degree 1. The relationship between the x and y coordinates of any point on a straight line is known as the equation of a straight line.

The point-slope form of the equation of a line with slope m and passing through the point (x1, y1) is given by:

y - y1 = m(x - x1)

Using the given information, we have:

m = 2

x1 = -8

y1 = -1

Substituting these values into the point-slope form, we get:

y - (-1) = 2(x - (-8))

Simplifying, we get:

y + 1 = 2(x + 8)

This is the equation of the line in point-slope form.

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Answer:

  m/(Lt²)

Step-by-step explanation:

To find the dimensions of k, divide by its coefficient.

  \(mL^2L^{-1}t^2 = kL^2t^4\qquad\text{given}\\\\\dfrac{mL^2L^{-1}t^2}{L^2t^4}=k\qquad\text{divide by $L^2t^4$}\\\\k=\dfrac{mL^{-1}}{t^2}\qquad\text{cancel common factors}\)

The dimensions of k are m/(Lt²).

Answer:

Step-by-step explanation:

2 x 12 - (9 - 3) x 2 / 2

The step in which the subtraction property of equality was applied to solve the equation is given as follows:

D. The subtraction property of equality was not applied to solve this equation.

The subtraction property of equality states that subtracting the same number from both sides of an equation does not affect the equality, and hence it is used to isolate a variable that is adding on a side of the expression.

For this problem, to remove the term -7, we add 7 to both sides of the expression, hence the addition property of equality was applied.

In the other step, the multiplication property was applied, hence option D is the correct option for this problem.

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Answer:

It is a 23% decrease.

Step-by-step explanation:

(a) Let \(A(t)\) denote the amount of sugar in the tank at time \(t\). The tank starts with only pure water, so \(\boxed{A(0)=0}\).

(b) Sugar flows in at a rate of

(0.07 kg/L) * (7 L/min) = 0.49 kg/min = 49/100 kg/min

and flows out at a rate of

(A(t)/1080 kg/L) * (7 L/min) = 7A(t)/1080 kg/min

so that the net rate of change of \(A(t)\) is governed by the ODE,

\(\dfrac{\mathrm dA(t)}[\mathrm dt}=\dfrac{49}{100}-\dfrac{7A(t)}{1080}\)

or

\(A'(t)+\dfrac7{1080}A(t)=\dfrac{49}{100}\)

Multiply both sides by the integrating factor \(e^{7t/1080}\) to condense the left side into the derivative of a product:

\(e^{\frac{7t}{1080}}A'(t)+\dfrac7{1080}e^{\frac{7t}{1080}}A(t)=\dfrac{49}{100}e^{\frac{7t}{1080}}\)

\(\left(e^{\frac{7t}{1080}}A(t)\right)'=\dfrac{49}{100}e^{\frac{7t}{1080}}\)

Integrate both sides:

\(e^{\frac{7t}{1080}}A(t)=\displaystyle\frac{49}{100}\int e^{\frac{7t}{1080}}\,\mathrm dt\)

\(e^{\frac{7t}{1080}}A(t)=\dfrac{378}5e^{\frac{7t}{1080}}+C\)

Solve for \(A(t)\):

\(A(t)=\dfrac{378}5+Ce^{-\frac{7t}{1080}}\)

Given that \(A(0)=0\), we find

\(0=\dfrac{378}5+C\implies C=-\dfrac{378}5\)

so that the amount of sugar at any time \(t\) is

\(\boxed{A(t)=\dfrac{378}5\left(1-e^{-\frac{7t}{1080}}\right)}\)

(c) As \(t\to\infty\), the exponential term converges to 0 and we're left with

\(\displaystyle\lim_{t\to\infty}A(t)=\frac{378}5\)

or 75.6 kg of sugar.

Answer:

7mins

Step-by-step explanation:

Answer:

It will take her 7.5 minutes.

Step-by-step explanation:

600 divided by 80 = 7.5

+add unit

It is given that the measure of arc BC is 182 degrees

that is

the measure of arc AC is 78 degrees.

That is

We know that

Hence

Hence 52 degrees is the correct answer.

The slope-intercept form of a line's equation is y = mx + b, where m is the slope of the line and b is the y-intercept. We can use the given slope and point to solve for the y-intercept and write the equation in slope-intercept form.

Given: Slope (m) = -2 and point (-2, -3)

It should be noted that the addition of the variables give in the expression will be 11✓2.

It should be noted that the information is incomplete. Therefore, an overview will be given. In this case, let a = ✓2, b = ✓8 and c = ✓128.

This can be illustrated as:

= a + b + c

= ✓2 + ✓8 + ✓128

= ✓2 + 2✓2 + 8✓2

= 11✓2

Therefore, it should be noted that the should be noted that the addition of the variables give in the expression will be 11✓2

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That's correct. The rate in the portion formula can be expressed as a decimal, fraction, or percentage, depending on the context and what is most convenient for the problem being solved.

How do you calculate ratio and proportion? Ans: The ratio formula is written as a: b a/b for any two numbers. Contrarily, the percentage formula is written as a:b::c:da:b::c:da:b=cd.

An equation in which two ratios are made equal is known as a percentage. As an illustration, you could express the ratio as 1: 3 if there is 1 guy and 3 girls (for every one boy there are 3 girls) 1 out of 4 are boys, and 3/ 4 are girls.

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