7. The figure shows a right rectangular prism whose base is a square...

Answer:

8 and 50 are both not perfect squares

Step-by-step explanation:

\(\sqrt{4}\) = 2

\(2^{2}\)=4

\(\sqrt{121}\)= 11

\(11^{2}\)=121

\(\sqrt{9}\)=3

\(3^{2}\)=9

\(\sqrt{36}\)=6

\(6^{2}\)=36

In order to find perfect squares, you must use the square root to get the perfect square.

The linear equation that can be used to find the height considering all the information is h2 = h1 + (-0.5)(t2 - t1)

The height of a candle can be modeled by a linear function with a slope of -0.5 cm/hour.

If the height of the candle after t1 hours is h1 centimeters, then the height of the candle after t2 hours is given by h2 = h1 + (-0.5)(t2 - t1).

So, if the height of the candle after t1 hours is h1 centimetres, and after t2 hours is h2 centimeters, we have:

h2 = h1 + (-0.5)(t2 - t1)

We can use the given information to find the value of h1, and then use the equation above to find the value of h2.

However, the information given in the question is not enough to solve for h1 and h2. We need more information such as the height of the candle after a certain number of hours.

Click here to learn more about Linear function :

brainly.com/question/29205018

#SPJ4

It cannot be determined. At least one other point on the line is needed to determine if x is proportional to y

Given data ,

A point on a straight line has an x-coordinate of 3 and a y-coordinate of 6

Now , A single point on a straight line does not define the connection between x and y. We must evaluate the connection between x and y for several places on the line in order to establish if x is proportional to y.

As a result, the relationship between x and y cannot be inferred only from the supplied location (3, 6). To establish the proportionality between x and y, at least one more point on the line is required

Hence , the equation of line is solved

To learn more about equation of line click :

https://brainly.com/question/14200719

#SPJ1

Answer:

y=6

Step-by-step explanation:

a horizontal line passes through the y value

Using the values provided in the ordered pair, The linear inequality is satisfied by putting the ordered pair values and checking if the statement is true or false.

An ordered pair is made up of the ordinate and the abscissa of the x coordinate, with two values given in parenthesis in a certain sequence.

When two mathematical statements or two numbers are compared in an unequal way, it is known as an inequality in mathematics. Inequalities can generally be classified as either algebraic or numerical, or as a combination of the two.

ordered pair=(1,2)

linear inequality equation,

\(4x_{1}-x_{2} > 0\)

using value from ordered pair,

\(4*1 - 2 > 0\)

\(2 > 0\)

which is true. That is it satisfies the given linear inequality.

To learn more about inequality visit:

https://brainly.com/question/20383699

#SPJ4

Answer:

The answer to your problem is, 161

Step-by-step explanation:

(9+8+6) = 23

7 x 23 =

161

Thus the answer is 161

Answer:

The pic there has a step by step explanation

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

        Hi my lil bunny!

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

\(\frac{(3^-2)^2 * (5^2)^-3 * ( t ^-3)^2 }{( 3^-2) ^5 ( 5^3) ^-2 ( t ^-4)^3}\)

\(= \frac{\frac{1}{1265625^t12} }{1}\)

\(= \frac{\frac{1}{992640625^t6} }{1}\)

\(= \frac{992640625^t6}{1265625}\)

\(= \frac{922640625tttttt}{1265625}\)

\(= 729t^6\)

Answer : \(729t^6\)

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

If this helped you, could you maybe give brainliest..?

❀*May*❀

The measured signal could have a dynamic error of approximately 21.6% of the true value due to the limitations of the 1st order system with a time constant of 0.7 seconds.

The dynamic error that could result from measuring a 2 Hz periodic waveform using a 1st order system with a time constant of 0.7 seconds can be estimated using the following formula:

Dynamic error = 100% x (1 - exp(-T/τ)),

where T is the period of the input signal, τ is the time constant of the system, and exp(-T/τ) is the system's gain at the input frequency.

Substituting T = 0.5 s (since the period of a 2 Hz waveform is 0.5 seconds) and τ = 0.7 s, we get:

Dynamic error = 100% x (1 - exp(-0.5/0.7)) ≈ 21.6%

This means that the measured signal could have a dynamic error of approximately 21.6% of the true value due to the limitations of the 1st order system with a time constant of 0.7 seconds. This error is due to the fact that the system cannot respond fast enough to the rapid changes in the input signal, leading to an output that lags behind the input. The larger the time constant of the system relative to the period of the input signal, the larger the dynamic error will be.

Learn more about dynamic error here :

brainly.com/question/15396411

#SPJ4

Answer: B

Step-by-step explanation: Hope this help :D

Answer:

The first one is 585 and the second one is 729

the measure of the fourth interior angle of the quadrilateral is 68° (Option A)

To find the measure of the fourth interior angle of a quadrilateral, we need to use the fact that the sum of all interior angles of a quadrilateral equals 360°. Given that three interior angles measure 55°, 117°, and 120°, we can find the measure of the fourth angle by subtracting the sum of these three angles from 360°.
First, calculate the sum of the three given angles: 55° + 117° + 120° = 292°.
Next, subtract this sum from 360° to find the fourth angle: 360° - 292° = 68°

learn more about interior angle here:

https://brainly.com/question/12834063

#SPJ11

Answer: Option B

Step-by-step explanation:

Answer:3*3*3*3*3=243

Step-by-step explanation:

The minimum amount of money Camille could have is 0 dollars if she doesn't buy anything, and the maximum amount of money she could have is 166 dollars if she buys the maximum quantity of each item.

To find the maximum of a continuous and twice differentiable function f(x), we can firstly differentiate it with respect to x and equating it to 0 will give us critical points.

Putting those values of x in the second rate of function, if results in negative output, then at that point, there is maxima. If the output is positive then its minima and if its 0, then we will have to find the third derivative (if it exists) and so on.

We are given that;

The prices of different items at a garage sale: pants, shirts, shorts, and belts.  

Camille can buy up to 5 shirts.

Now,

If Camille buys 5 shirts, she would spend 5 * 6 = 30 dollars on shirts. Since she can buy up to 5 shirts, she may spend less than 30 dollars if she buys fewer shirts.

She can buy up to 10 pants, which would cost her 10 * 8 = 80 dollars.

She can buy up to 5 shorts, which would cost her 5 * 4 = 20 dollars.

She can buy up to 12 belts, which would cost her 12 * 3 = 36 dollars.

30 + 80 + 20 + 36 = 166 dollars

Therefore, by the  maxima and minima the answer will be 166 dollars if she buys the maximum quantity of each item.

Learn more about maxima and minima of a function here:

https://brainly.com/question/13333267

#SPJ1

If a storage facility charges $1 per cubic yard and the storage space is 32 ft. The storage charge is $1999.97.

What is mathematical conversions?

Mathematical conversions refer to the process of changing one unit of measurement to another unit of measurement that is equivalent in value.

First, we need to convert the dimensions from feet to yards, since the rate is given per cubic yard.

32 feet = 10.6667 yards (dividing by 3)

160 feet = 53.3333 yards (dividing by 3)

10 feet = 3.3333 yards (dividing by 3)

Next, we can calculate the volume of the storage space in cubic yards by multiplying the three dimensions:

Volume = 10.6667 yards x 53.3333 yards x 3.3333 yards

Volume = 1999.97 cubic yards (rounded to two decimal places)

Finally, we can calculate the storage charge by multiplying the volume by the rate:

Charge = 1999.97 cubic yards x $1/cubic yard

Charge = $1999.97

Therefore, the storage charge is $1999.97.

To learn more about mathematical conversions from the given link:

https://brainly.com/question/11853945

#SPJ4

Answer:

\(f\left(x\right)=\left(x-1\right)^{2}+3\)

Step-by-step explanation:

The equation for thr function f(x) is \(f(x)=\left(x-1\right)^{2}\) . The vertex of this equation is located at (1,0). The vertex of function g(x) is located at (1,3) , meaning that the vertex of g(x) is 3 units higher than that of f(x). This can be represented in the equation using a vertical translation. The final equation for g(x) would be \(f\left(x\right)=\left(x-1\right)^{2}+3\) .

Hope this helps! :)

Answer:

When two vectors are parallel, it's because the angles of inclination are equivalent. They are defined by

\(\theta = tan^{-1}(\frac{y}{x} )\)

So, we just need to find the angle for each vector and see if they are equivalent.

We have vectors \((3,1)\) and \((-13,-1)\). You already can deduce that these vectors are not parallel, because, their divisions are not equivalent.

\(\frac{1}{3} \neq \frac{-1}{-13}\)

Which will give different angles in the end.

Let's try the other pair of vectors \((2,3)\) and \((-3.-2)\). Their division would be

\(\frac{3}{2} \neq \frac{-2}{-3}\\ 1.5 \neq 0.67\)

As you can observe, their divisions are not equivalent, which means their tangents are not equivalent.

Therefore, those vectors are not parallel, because they don't have equivalent angles of inclination, not matter if they are pointing to the same or different direction.

The postulate that makes the triangle congruent is SSS. Beside ASA and AAS also makes triangle congruent.

According to the Angle-Side-Angle Postulate (ASA), two triangles are congruent if two angles and the included side of one triangle are congruent with two angles and the included side of another triangle.

According to the Angle-Angle-Side Postulate (AAS), two triangles are said to be congruent if two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle.

The Side-Side-Side rule is used to demonstrate the congruency of a particular collection of triangles. According to the SSS rule, two triangles are congruent if their three sides are equivalent to those of another triangle's three sides.

To learn more about triangle congruent visit the link:

https://brainly.com/question/22062407

#SPJ1

The postulate that makes the triangle congruent is SSS. Beside ASA ans AAS also makes triangle congruent.

What is AAS?

AAS stands for Angle-Angle-Side. This is a theorem in Euclidean Geometry which states that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the two triangles are congruent. This means that all the corresponding sides and angles of the two triangles are equal. AAS can be used to prove the congruence of two triangles when the length of all the sides is not known.

The Side-Side-Side rule is used to demonstrate the congruency of a particular collection of triangles. According to the SSS rule, two triangles are congruent if their three sides are equivalent to those of another triangle's three sides.

To learn more about triangle congruent visit the link:
https://brainly.com/question/11329400
#SPJ1

Answer:

hello my name is alyssa what abt you I just have to answer questions to message someone to go off on them

Answer:

8411.67 m³

Step-by-step explanation:

The volume of a pyramid is one third its height times the area of its base. The Louvre pyramid has a height of 20.6 meters and a square base with sides of 35 meters. Find its volume, rounded to the nearest hundredth. Include units in your answer.

Volume of a pyramid is given as:

1/3 × Height × Area of it's base

= 1/3 × 20.6m × (35 m)²

= 8411.6666667 m³

Approximately = 8411.67 m³

Therefore, the volume of the pyramid = 8411.67 m³

Answer:

Part A: \(2x^3 + 10x^2 - 4x^2y - 20xy\\2x(x^2+ 5x - 2xy - 10y)\\\)

Part B: 2x(x+5)(x−2y)

Step-by-step explanation:

Please give Brainliest

Answer she spent 90$ so she should have 510 dollars left

Step-by-step explanation:

15% of 600 is 90. 90-600=510

The percentage rate of increase in Joshua wages is 17%

Rate of increase or decrease is often referred to as rate of change. Rate of change refers to how quickly something changes over time.

To calculate the rate of decrease we subtract the original value from the new value, then divide the result by the original value. Multiply the result by 100. The answer is the percent increase.

This means percentage rate in increase = (new wage - original wage )/original wage × 100

= (14-12)/12 ×100

= 2/12 ×100

= 100/6 = 17% ( nearest percent)

Therefore the percentage increase in Joshua wage is 17%

learn more about percentage increase from

https://brainly.com/question/11360390

#SPJ1

False. The margin of error of a confidence interval is a measure of the amount of random sampling error in a survey's results.

Error in math is defined as an incorrect result or procedure in mathematical calculations or reasoning. It can be caused by a miscalculation, a wrong formula or equation, or a misinterpreted concept or instruction. It can also be caused by a misreading or misunderstanding of data, a misapplication of a theorem or rule, or a mistake in logic. Error in math can lead to incorrect or misleading results, and can have serious implications for applications relying on mathematics, such as engineering and financial analysis.

It reflects the amount by which an estimate from a sample might differ from the true population value. The margin of error does not reflect errors from using volunteer sampling methods. Volunteer sampling is a type of non-probability sampling in which individuals volunteer to participate in the survey. The margin of error is not affected by the type of sampling method used; it is affected by the sample size, confidence level, and variability of the population.

To know more about error click-
https://brainly.com/question/28001423
#SPJ4

Recalll that the general equation fo the line is of the form y=mx+b where m is the slope and b is the y intercept. Also, remember that if we have two lines y=m1x+b1 and y=m2x+b2, they are perpendicular if and only if m1*m2=-1.

Let's construct the equation of the line we want. Say y=mx+b. So we must find the value of m and b. We are given the line y=5x-4. The slope of this line is 5. Since we want them to be perpendicular, it must happen that

if we divide by 5 on both sides, we get

this means that the equation we want, so far, is

Now, since this line passes through the point (3,8) it must happen that whenever we replace x by 3, y should be replaced by 8. Then we have the equation

Then, if we add 3/5 on both sides, we get

So, the equation of our perpendicular line is

The yield to maturity of a ten-year, $1000 bond with a 5.2% coupon rate and semi-annual coupons, if the =bond is currently trading for a price of $884, is 6.23%. Thus, option a and option b is correct

Yield to maturity (YTM) is the anticipated overall return on a bond if it is held until maturity, considering all interest payments. To calculate YTM, you need to know the bond's price, coupon rate, face value, and the number of years until maturity.

The formula for calculating YTM is as follows:

YTM = (C + (F-P)/n) / ((F+P)/2) x 100

Where:

C = Interest payment

F = Face value

P = Market price

n = Number of coupon payments

Given that the bond has a coupon rate of 5.2%, a face value of $1000, a maturity of ten years, semi-annual coupon payments, and is currently trading at a price of $884, we can calculate the yield to maturity.

First, let's calculate the semi-annual coupon payment:

Semi-annual coupon rate = 5.2% / 2 = 2.6%

Face value = $1000

Market price = $884

Number of years remaining until maturity = 10 years

Number of semi-annual coupon payments = 2 x 10 = 20

Semi-annual coupon payment = Semi-annual coupon rate x Face value

Semi-annual coupon payment = 2.6% x $1000 = $26

Now, we can calculate the yield to maturity using the formula:

YTM = (C + (F-P)/n) / ((F+P)/2) x 100

YTM = (2 x $26 + ($1000-$884)/20) / (($1000+$884)/2) x 100

YTM = 6.23%

Therefore, If a ten-year, $1000 bond with a 5.2% coupon rate and semi-annual coupons is now selling at $884, the yield to maturity is 6.23%.

Learn more about yield to maturity

https://brainly.com/question/26376004

#SPJ11