Which of the following illustrates the truth value of the given statements? A square root of 16 is 4, and the only square root of 9 is -3.
T F → F
T T → T
F T → F
F F → F

The intersection of two planes is a point, and two lines intersect in a point.

T T → T
F T → F
T F → F
F F → F

The alphabet has 28 letters, and a week has seven days.

T T → T
T F → F
F F → F
F T → F

for plato the answer is, c. get a real-estate appraisal

posting this for future users!

Answer:

x^2 = a/b

Step-by-step explanation:

[tex]\frac{\sqrt{a}}{\sqrt{b} } =x[/tex]

If we have square root at the top and bottom then we take single square root with fraction inside

[tex]\sqrt{\frac{a}{b}} =x[/tex]

To remove square root we take square on both sides because square and square root will get cancelled

[tex]\frac{a}{b}=x^2[/tex]

x^2 = a/b is true

The statement that must be true is:

[tex]x^2 = a/b[/tex]

To find an equivalent expression, we just need to rewrite the given expression.

Here we will use the fact that the square root is distributive with respect to the division, which means that we can rewrite:

[tex]\frac{\sqrt{a} }{\sqrt{b} } = x\\\\\sqrt{\frac{a}{b} } = x[/tex]

Now if we square both sides of that expression, we will get:

[tex]\sqrt{\frac{a}{b} }^2 = x^2\\\\\frac{a}{b} = x^2[/tex]

So we can see that the correct option is A.

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With a diameter of 12mm and using π as 3.14, the circumference is calculated as 37.68mm.

The circumference of a circle can be calculated using the formula:

Circumference = π x diameter

Given: Diameter = 12mm

Using π = 3.14:

Circumference = 3.14 x 12mm = 37.68mm

Therefore, the circumference of the circle is 37.68mm.

Answer:

FOR ALL THOSE LAZY PPL, HERE'S THE ANSWER....

22 units.

Have a nice day mates.

After burning 6 hours the candle will be 4 1/2 in. tall.

4(50) +3r = 365

200+3r = 365

3r =165

r = 165/3

r = 55

The estimated age of the parchment is approximately 4,086.17 years.

To estimate the age of the parchment, we can use the concept of carbon dating.

Carbon-14 (14C) is a radioactive isotope of carbon that is commonly used for dating archaeological artifacts.

The amount of 14C in an organism remains relatively constant while the organism is alive because it continuously takes in carbon from the atmosphere and food.

However, after the organism dies, it no longer takes in new carbon, and the 14C begins to decay at a known rate.

The half-life of carbon-14 is approximately 5,730 years. This means that after 5,730 years, half of the original amount of carbon-14 in a sample would have decayed.

Let's use the information provided: the parchment fragment had about 61% as much 14C radioactivity as does plant material on Earth today.

This means that the remaining 14C in the parchment is 61% of the original amount. The remaining 14C is the amount that has not yet decayed, and the rest has decayed over time.

Now, we can set up an equation:

[tex]0.61 = (1/2)^{(t/5730)[/tex]

Where:

t = time in years since the parchment was alive.

Now, we need to solve for 't.' Taking the logarithm of both sides to isolate 't':

[tex]\log(0.61) = (t/5730) \times \log(1/2)[/tex]

Now, solving for 't':

[tex]t = (5730 \times \log(0.61)) / \log(1/2)[/tex]

Using a calculator, we find:

t ≈ 4,086.17 years

So, the estimated age of the parchment is approximately 4,086.17 years.

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Using the concept of radiocarbon dating and the fact that the parchment has 61% as much 14C radioactivity as present plant material, the calculated estimate for the parchment's age is approximately 2,200 years, rounded to the nearest hundred years.

To estimate the age of the parchment based on the information that it had about 61% as much 14C radioactivity as does plant material on Earth today, we use the concept of radiocarbon dating. The half-life of carbon-14 (14C) is 5,730 years, which means after every 5,730 years, the amount of 14C decreases by half. Given that the parchment retains 61% of its original 14C, we can formulate the decay equation to solve for the parchment's age.

The decay equation is given by: \(N_t = N_0(1/2)^{t/T}\), where \(N_t\) is the remaining amount of 14C, \(N_0\) is the original amount of 14C, \(t\) is time, and \(T\) is the half-life of 14C. In this case, \(N_t/N_0 = 0.61\), and we know \(T = 5730\) years.

By substituting the given values into the decay equation and solving for \(t\), we find that the parchment is approximately 2,200 years old, rounded to the nearest hundred years. This estimation assumes the natural 14C to 12C ratio in the atmosphere has been constant over the time period in question.

Answer:

the answer is A. my friends

cubic inches or inches³ would we use to describe the volume of a box measured in inches.

A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law

Volume is the measure of the 3-dimensional space occupied by matter, or enclosed by a surface, measured in cubic units.

As volume we measure by using three dimensions so the unit will be in cubics.

If we have to measure volume of box in inches then it will be cubic inches or inches³.

Hence cubic inches or inches³ units would we use to describe the volume of a box measured in inches.

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The value of the equation 1429/237.

Let's solve for x in the given equation:

[tex]\[23 = 79(6x - 36) + 9\][/tex]

First, distribute the 79 on the right side:

[tex]\[23 = 474x - 2844 + 9\][/tex]

Combine like terms:

[tex]\[23 = 474x - 2835\][/tex]

Now, isolate the term with x by adding 2835 to both sides:

[tex]\[474x = 2858\][/tex]

Finally, divide both sides by 474 to solve for x:

[tex]\[x = \frac{2858}{474}\][/tex]

Now, you can simplify the fraction:

[tex]\[x = \frac{1429}{237}\][/tex]

So, the solution for x is [tex]\(x = \frac{1429}{237}\).[/tex]

Final answer:

To solve the equation, distribute the 79 on the right side, combine like terms, and then isolate and solve for x to get x = 6.05.

Explanation:

To solve the equation 23=79(6x−36)+9, we first expand the right side of the equation and then isolate the term with x on one side.

First, distribute the 79:

23 = 79(6x) - 79(36) + 9,

which simplifies to:

23 = 474x - 2844 + 9.

Combine like terms:

23 = 474x - 2835.

Now, add 2835 to both sides to isolate the term with x:

2868 = 474x.

Finally, divide both sides by 474 to solve for x:

x = 2868 / 474.

After performing the division, we find that x = 6.05.

They take 3 hours to complete the work together.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

An experienced bricklayer can construct a small wall in 4 hours.

And, An apprentice can complete the job in 12 hours.

Now,

Since, An experienced bricklayer can construct a small wall in 4 hours.

Hence, In 1 hour it will be completed 1/4 work.

And, An apprentice can complete the job in 12 hours.

So, In 1 hour it will be completed 1/12 work.

Let number of hour to complete the work together = x

in 1 hour both together completed 1/x work.

So, we can formulate;

1/4 + 1/12 = 1/x

Solve for x;

3/12 + 1/12 = 1/x

4/12 = 1/x

1/3 = 1/x

x = 3 hours.

Thus, They take 3 hours to complete the work together.

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The equation 10x+5y=5 can be rewritten in slope-intercept form as y = -2x + 1. This equation's slope is -2 and the y-intercept is 1. The line intercepts the y-axis at (0,1) and for every 1 unit increase in x, y decreases by 2 units.

To write the equation 10x+5y=5 in slope-intercept form, you need to solve for y. The slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

First, divide the entire equation by 5 to simplify it:

(10x+5y)/5 = 5/5 becomes 2x + y = 1.

Then, solve the equation for y:

y = -2x + 1

The slope (m) of the equation is -2 and the y-intercept (b) is 1. Therefore, the line intercepts the y-axis at the point (0,1) and for every 1 unit increase in x, y decreases by 2 units due to the negative slope.

To graph this line, first plot the y-intercept at the point (0,1). Next, from this point, move right 1 unit (increase in x) and down 2 units (decrease in y) to get the point (1,-1). Draw a straight line through these points to represent the equation y = -2x + 1.

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Answer:

The x intercepts are -4, -1 and 5 or (-4,0), (-1,0) and (5,0).

Step-by-step explanation:

Consider the provided graph.

Here we need to find the x intercepts of the function.

The x-intercepts are where the graph crosses the x-axis.

Here, the  provided graph crosses the x axis 3 times.

Thus there must be 3 x intercepts of the function.

Now label the points on which graph intersect the x axis as shown in figure 1.

Thus the labeled points are (-4,0), (-1,0) and (5,0)

Hence, the x intercepts are (-4,0), (-1,0) and (5,0) or -4, -1 and 5.

Answer:

y = 2

Step-by-step explanation:

When we have graph is given also one value from x and y is given then for finding the other value, We simply see the line where x = -2 is graphed and then we will see what is the value of y there.

Here at x = -2, y = 2 this is clearly apparent from the graph.

Answer:

y <  [tex]\frac{2}{3}[/tex]x -1 .

Step-by-step explanation:

Given : Graph.

To find : Which linear inequality is represented by the graph.

Solution : We have given graph with shaded down .

We know that if the graph is shaded down then equation of inequality has less than sign.

On comparing with line slope form y = mx +b.

Where m = slope  and b = y intercept ( where the graph line cut at y axis)

Then b = -1  and slope  = [tex]\frac{2}{3}[/tex].

Then equation become

y <  [tex]\frac{2}{3}[/tex]x -1 .

Therefore, y <  [tex]\frac{2}{3}[/tex]x -1 .

volume of the center sphere = 4/3*PI*r^3

r = 3 ( given in the picture)

 so 4/3 * 3.14 *3^3 = 113.04 cubic feet

 volume of 1 cone: pi *r^2 *h/3

r = 3 and h=3 ( given in the picture)

so 3.14 * 3^2 * 3/3 = 28.26 cubic feet

 there are 4 cones so 28.26* 4 = 113.04 cubic feet

113.04 + 113.04 = 226.08 cubic feet

 rounded to nearest cubic foot = 226 cubic feet

Answer:

A, B and C

Step-by-step explanation:

The expression 15/3x-6 evaluates to -4.75 when x=4. The solution involves substitution followed by the order of operations: first multiplication, then division, and finally subtraction.

The student asked to evaluate the expression 15/3x-6 when x=4. To do this, we first substitute the value of x into the expression, which then becomes 15/(3*4)-6.

Now we simplify the expression step by step:

So, when x equals 4, the value of the expression 15/3x-6 is -4.75.

The endpoint of a ray in the diagram given is the point S.

A ray is often referred to as the sides of a angle.

An angle is produced when two different rays share or have a common endpoint which forms the vertex.

From the diagram given above ; an angle is formed at S.

S depicts a point where three different rays meet.

Rays SR, SU and ST

SINCE , the point where two or more rays meet leading to the formation of an angle is called an endpoint. Then , point S is an endpoint.

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