Dolly went to the Walmart and he buy 14 teddy bears and 3 dolls for 158 $ and her sister went to the Gwinnett place mall and she buy 8 teddy bears and 12 dolls for 296 $. If they both buy same brand bears and dolls, then what is price of one teddy bear and one doll? (use matrices multiplication to solve system of equations. ) (Show work)

Answer:

8. X=33º

9. X=120º

10. X= 161º

Step-by-step explanation:

For all of the 3 questions, the sum of the interior angles is equal to the exterior angle.

Hope this helps! Have a great day!

Answer:

Annalise is correct because the outputs are closest when x = 1.35

Step-by-step explanation:

The solution to the equation 1/(x-1) = x² + 1 means the one x value that will make both sides equal. If we look at the table, notice how when x = 1.35, f(x) values are closest to each other for both equations, signifying that x = 1.35 is approximately the solution. Thus, Annalise is correct.

Answer:The initial value represents the 2 gigabytes of data stored on the computer when Jackie bought it, and the rate of change represents the 3.5 gigabytes per year that Jackie is storing.

The statement first is correct because 2GB represents the initial data and in the second term 3.5GB represents the rate of change of data per year.

It is defined as a special type of relationship and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

Initial data when Jackie bought = 2 gigabytes

Rate of change of data per year:

\(\rm\frac{dB}{dt} = 3.5\)

We can frame a linear function such that:

\(\rm y = 2 + n(\frac{dB}{dt})\)

\(\rm y = 2 + 3.5n\)

Where y represents the total data stored at n years.

And n represents the \(\rm n^{th}\) year

When n = 0 then y = 2     (initial data when Jakie bought it)

When n = 1 then y = 5.5   (after one year the amount of data Jakie's                                                       computer has)                          

Term 2 represents the initial data and term 3.5 represents the rate of change of data per year.

Therefore, the initial value represents the 2 gigabytes of data stored on the computer when Jackie bought it, and the rate of change represents the 3.5 gigabytes per year that Jackie is storing.

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Answer:

amplitude is the distance between the highest point and the sinusoidal axis

Here you see that the sinosoidal axis is at 0

and the highest point is at 3

so amplitude = 3

Hope that answers your question

Step-by-step explanation:

And the correct graph is the one in option b.

We know that you have 8 cups of flour, and it takes one cup of flour to make 24 cookies.

Then the linear function:

c(f) = 24*f

Relates the number of cookies that we can make using f cups of flour.

Then the possible domain of this function (the possible values of f) is given by:

0  ≤ f ≤ 8

The maximum number of cookies that can be made is:

24*8 = 192

And the range is:

0 ≤ c ≤ 192

With that in mind, we can see that the correct graph is the one in option b.

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Below is the answer

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Answer:

A

Step-by-step explanation:

I took the test and got it right

Answer:

Step-by-step explanation:

65 + 79 + x = 180

144 + x = 180

x = 36°

Answer:

65+79+x=180

144+x=180

x=180-144=36.

The standard normal distribution has a mean of 0 and a standard deviation of 1. M ≈ 30.935. The median of the distribution is also 25.

(a) To find M, we first need to convert the given values of mean and standard deviation to the standard normal distribution. This can be done by using the formula Z = (X - μ) / σ, where Z is the Z-score, X is the value of interest, μ is the mean, and σ is the standard deviation. In this case, we have X ~ N(25, 9). Substituting the values into the formula, we get Z = (X - 25) / 3. Now we need to find the Z-score that corresponds to the desired probability of 0.95. Using a standard normal distribution table or a calculator, we find that the Z-score corresponding to a cumulative probability of 0.95 is approximately 1.645. Setting Z equal to 1.645, we can solve for X: (X - 25) / 3 = 1.645. Solving for X, we get X ≈ 30.935. Therefore, M ≈ 30.935.

(b) The median is the value that divides the distribution into two equal halves. In a normal distribution, the median is equal to the mean. In this case, the mean is given as 25. Therefore, the median of the distribution is also 25.

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The center of a triangle's circumcircle is known as the circumcenter. It is located at the point where the perpendicular bisectors cross.

The intersection of the perpendicular bisectors of a triangle's sides is known as the circumcenter of that particular triangle. In other terms, the circumcenter is the point at which the bisector of a triangle's sides coincides. P stands for it (X, Y). The circumcenter, which can be found within or outside of the triangle, is also the center of the triangle's circumcircle.

The following are a few characteristics of a triangle's circumcenter:

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Answer:

It's A and B

Step-by-step explanation:

Since she took 75% off of her commute time, she has 25% left. 25% as a decimal is 0.25 and 0.25 as a decimal is 1/4.

Also, since it says choose two answers, C and D are not equal to each other.

Answer:

Is Square Root of 25 Rational or Irrational?  

Step-by-step explanation:

A rational number can be expressed in the form of p/q. Because √25 = 5 and 5 can be written in the form of a fraction 5/1. It proves that √25 is rational.

The answer is:

Work/explanation:

What are rational numbers?

Rational numbers are integers and fractions.

Irrational numbers are numbers that cannot be expressed as fractions, such as π.

Now, \(\bf{\sqrt{25}}\) can be simplified to 5 or -5; both of which are rational numbers.

====================================================

Explanation:

Let's say for example this pizza had 6 slices to start with. Two-thirds of this is (2/3)*12 = 4 slices. So you have 4 slices left over from yesterday. Then let's say you hand one slice to each of your four friends. Each friend would have 1/6 of the original pizza.

Answer:

Step-by-step explanation:

If you mean 3x^3 - 42x^2 - 4x + 5 = 0 you can graph it manually or with technology

The roots are 14.09, 0.30 and -0.39 to nearest hundredth.

Answer: The unit value of a cubic centimeter (cm^3) is the same as the metric measurement of a milliliter (mL).

This is because 1 milliliter is equal to 1 cubic centimeter. In other words, if you have a cube that measures 1 centimeter on each side, its volume would be 1 cubic centimeter, which would also be equivalent to 1 milliliter of volume.

This relationship between cm^3 and mL is commonly used in scientific and medical measurements involving liquids and gases.

The unit value of a cubic centimeter (cc) is equivalent to one milliliter (mL) in the metric system. Both cubic centimeters and milliliters are used to measure volume, and their conversion is straightforward: 1 cc = 1 mL.

The metric system uses base units such as meters, liters, and grams, and applies prefixes like kilo-, centi-, and milli- to indicate larger or smaller units of measurement.
Cubic centimeters are often used to measure the volume of solid objects or the capacity of containers, while milliliters are more commonly used to measure the volume of liquids. However, both units represent the same volume and can be used interchangeably.
It is important to understand the difference between volume measurements and other metric measurements, such as length or mass. For instance, meters are used to measure length or distance, and grams are used to measure mass or weight. These units cannot be directly converted to cubic centimeters or milliliters, as they represent different physical properties.
In summary, a cubic centimeter (cc) is a unit of volume in the metric system that is equivalent to one milliliter (mL). Both units can be used to measure volume, and they have a simple conversion of 1 cc = 1 mL. Understanding the relationship between these units and other metric measurements is essential for accurately quantifying and comparing different physical properties.

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Answer:

sana Po nakatulong

stay safe po

Answer:

\(3(1 - 1) + \sqrt{ {2}^{2} + {1}^{1} } ) \\ or \: \ 0 + \sqrt{5} \)

=√5, where r=√(x^2 +y^2)

Answer:

y = (x - 2)² - 9

Step-by-step explanation:

Using the method of completing the square

add/ subtract ( half the coefficient of the x- term)² to x² - 4x

y = x² + 2(- 2)x + 4 - 4 - 5

y = (x - 2)² - 9

Answer:

B. RZ =R BZ

Step-by-step explanation:

Since point Z is equidistant from the sides of ARST, it lies on the perpendicular bisectors of both sides. Therefore, CZ and SZ are perpendicular bisectors of AB and ST, respectively.

Option B is true because point R lies on the perpendicular bisector of AB, and therefore RZ = RB.

Answer: vv

Step-by-step explanation:

Since point Z is equidistant from the sides of ARST, it lies on the perpendicular bisector of the sides ST and AR.

Therefore, we can draw perpendiculars from point Z to the sides ST and AR, which intersect them at points T' and R', respectively.

Now, let's examine the options:

A. SZ & TZ: This is not necessarily true, as we do not know the exact location of point Z. It could lie anywhere on the perpendicular bisector of ST, and the distance from Z to S and T could be different.

B. RZ = RB: This is true, as point Z lies on the perpendicular bisector of AR, and is therefore equidistant from R and B.

C. CTZ = ASZ: This is not necessarily true, as we do not know the exact location of point Z. It could lie anywhere on the perpendicular bisector of AR, and the distances from Z to C and A could be different.

D. ASZ = ZSB: This is not necessarily true, as we do not know the exact location of point Z. It could lie anywhere on the perpendicular bisector of ST, and the distances from Z to A and B could be different.

Therefore, the only statement that must be true is option B: RZ = RB.

Answer:

a = -11

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

10 + 4a = a - 23

Step 2: Solve for a

Step 3: Check

Plug in a into the original equation to verify it's a solution.

Here we see that -34 does indeed equal -34.

∴ a = -11 is the solution to the equation.

\(\sf{\bold{\green{\underline{\underline{Given}}}}} \)

⠀⠀⠀

\(\sf{\bold{\green{\underline{\underline{To\:Find}}}}} \)

⠀⠀

\(\sf{\bold{\green{\underline{\underline{Solution}}}}} \)

⠀⠀⠀⠀

For solving such problems we must have a glance at BODMAS rule .

⠀⠀⠀⠀

Firstly , putting all the variables at left and putting all the constants at right

⠀⠀⠀⠀

4a - a = - 23 - 10

⠀⠀⠀⠀

Secondly , solving the variable side

⠀⠀⠀⠀

3a = -23 - 10

⠀⠀⠀⠀

Now , solving the constant side

⠀⠀⠀⠀

3a = - 33

⠀⠀⠀⠀

Thirdly isolating the variable

⠀⠀⠀⠀

a = -33 / 3

⠀⠀⠀⠀

a = - 11

\(\sf{\bold{\green{\underline{\underline{Answer}}}}} \)

⠀⠀⠀⠀

Answer:

volume of cylinder is πr^2h

Step-by-step explanation:

π = 22/7 or 3.14

r = radius of base of cylinder

h = height of cylinder

2) For a 96% confidence interval, the margin of error can be calculated using the formula: margin of error = critical value * (sample deviation / sqrt(sample size)).

Since the population is normally distributed, a z-score will be used as the critical value. The critical value for a 96% confidence level is approximately 2.053. By substituting the given values into the formula and rounding to the nearest hundredth, the margin of error can be determined.

3) Similar to the previous question, for a 95% confidence interval, the margin of error can be calculated using the formula: margin of error = critical value * (sample deviation/sqrt (sample size)). Since the population is normally distributed, a z-score will be used as the critical value. The critical value for a 95% confidence level is approximately 1.96. By substituting the given values into the formula and rounding to the nearest hundredth, the margin of error can be determined.

4) For a 99.74% confidence interval, the margin of error can be calculated using the formula: margin of error = critical value * (population deviation/sqrt (sample size)). Since the population deviation is given, a z-score will be used as the critical value. The critical value for a 99.74% confidence level is approximately 2.98. By substituting the given values into the formula and rounding to the nearest hundredth, the margin of error can be determined.

5) To determine whether to use a t-score or z-score, the sample size needs to be considered. If the sample size is large (typically considered as n > 30), a z-score can be used. If the sample size is small (typically n < 30), a t-score should be used. In this case, since the sample size is 876, which is large, a z-score should be used.

6) False. Alpha represents the level of significance or the probability of making a Type I error, which is typically denoted as (1 - confidence level). Confidence level represents the level of certainty or the probability of capturing the true population parameter within the confidence interval.

7) To determine whether to use a t-score or z-score, the sample size needs to be considered. If the sample size is large (typically considered as n > 30) and the population standard deviation is known, a z-score can be used. If the sample size is small (typically n < 30) or the population standard deviation is unknown, a t-score should be used. In this case, since the sample size is 10 and the population standard deviation is known, a z-score should be used.

8) True. Increasing the confidence level will result in using larger critical values in a confidence interval. This is because a higher confidence level requires a wider interval to capture the true population parameter with greater certainty.

9) c. The sample size increases. All other factors being equal, as the sample size increases, the margin of error of a confidence interval decreases. This is because a larger sample size provides more precise estimates of the population parameter and reduces the variability in the sample mean.

10) To determine whether to use a t-score or z-score, the sample size needs to be considered. If the sample size is large (typically considered as n > 30) and the population standard deviation is known, a z-score can be used. If the sample size is small (typically n < 30) or the population standard deviation is unknown, a t-score should be used. In this case, since the sample size is 57 and the population standard deviation is known, a z-score should be used.

11) True. A confidence interval for the population mean (mu) is centered on the sample mean.

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Answer:

Answer G: 12x^5y^5.

Step-by-step explanation:

Notes:

Multiply the Length and Width:

\(4 {x}^{3} {y}^{2} \times 3 {x}^{2} {y}^{3} = 12 {x}^{5} {y}^{5} \)

Your answer is G. 12x^5y^5.

The range of Axel's training zone, assuming a moderate exercise intensity, would be approximately 123 to 164 beats per minute (BPM).

To calculate this range, we use the Karvonen formula, which takes into account Axel's resting heart rate (RHR) and desired training intensity. Assuming a moderate-intensity workout, we can use a target heart rate range of 60% to 80% of his MHR.

Target Heart Rate = ((MHR - RHR) x %Intensity) + RHR

Assuming a resting heart rate of 65 BPM and moderate intensity of 60% to 80% of his MHR, Axel's target heart rate range would be approximately 123 to 164 BPM.

Therefore, the range of Axel's training zone would be approximately 123 to 164 BPM.

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The volume of the figure is 1960π + 2800 cubic centimeters.

Given that the figure is a right prism-like figure, whose each base is a semicircle with a radius of 7 cm and the height is 20 cm. We need to find the volume of the figure in terms of pi. Volume of the figure is the product of the area of the base and the height of the figure. The radius of the semicircle = 7 cm, so the radius of the full circle = 2 x 7 = 14 cm Area of each base of the prism = area of the circle/2 + area of the rectangle Area of the circle of radius 14 cm = π(14)^2Area of the circle = 196π.

Thus, area of each semicircle (i.e., each base) = 1/2 of area of the circle of radius 14 cm + area of the rectangle= (1/2)(196π) + (7 x 20) cm² = 98π + 140 cm²The volume of the figure = area of the base x height= (98π + 140 cm²) x 20 cm = 1960π + 2800 cubic centimeters Therefore, the volume of the figure is 1960π + 2800 cubic centimeters.

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For the given rectangle the length of the base, altitude , and the diagonals is given by 12, 9 , and 15 units respectively.

As given in the question,

In the given rectangle,

Base length of the rectangle = x  + 7

Altitude length of the rectangle = x + 4

length of diagonals = 3x

As diagonal , base , and altitude forms a right angled triangle,

Diagonal represents the hypotenuse.

Using Pythagoras theorem

(Diagonal length)² = ( Base length)² + ( altitude length)²

⇒(3x)² = ( x + 7 )² + ( x + 4 )²

⇒ 9x² = x² + 14x + 49 + x² + 8x + 16

⇒7x² - 22x - 65 = 0

⇒7x² - 35x + 13x - 65 = 0

⇒ 7x ( x - 5 ) + 13 ( x - 5 ) = 0

⇒ ( 7x + 13 ) ( x - 5 ) = 0

⇒ x = -13/7 or x = 5

Negative value unacceptable.

⇒x = 5

Base length = 12

Altitude length = 9

Diagonal length = 15

Therefore, for the given rectangle base length, altitude length, and the diagonal length is equal to 12, 9 , and 15 units respectively.

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Answer:

the correct answer is f(x)=(x-2)^2 + 1

Step-by-step explanation:

lets loof for f(2) :

f(2)=(2-2)^2 + 1

f(2)=(0)^2 + 1

f(2)= 1 ---> (2,1)

Answer:

scatter chart

Step-by-step explanation:

Bar chart charts information horizontally. Option C is correct.

Given that,
To determine which type of chart charts information horizontally.

The graph is a demonstration of curves that gives the relationship between the x and y-axis.

Statistic is the study of mathematics that deals with relations between comprehensive data.

Here,
The only chart that charts information horizontally is a horizontal bar chart. Which is a type of bar chart so the correct option would be a bar chart.

Thus, Bar chart charts information horizontally. Option C is correct.

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