the price of a televison 245 . the sales tax is 8%. what is the amount of sales tax?

The correct statements are I, III and IV. The correct option is A.

A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.

The statements which are true are given below,

I. Through any two points, there is exactly one line.

II. Two lines intersect at exactly one point.

IV. Two planes intersect at exactly one line.

The above statements are correct.

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To convert percent to a number divide it by 100

Then to convert 838% to a number divide it by 100

To simplify divide up and down by 2

The improper fraction is 419/50 in the simplest form

Many children develop the ability to do simple arithmetic problems during their early childhood years, typically between the ages of 4 and 6. Correct option is a).

During this time, children start to understand basic mathematical concepts such as counting, addition, and subtraction. They may also begin to recognize and name numbers and use basic math vocabulary. However, it's important to note that every child develops at their own pace and some may show these skills earlier or later than others. It's also important for parents and caregivers to provide opportunities for children to practice and reinforce these skills through activities such as counting objects, playing number games, and solving simple math problems.

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Equation of the line  that passes through the midpoint and is perpendicular to PQ is 2x - y +1 = 0.

One way to describe a perpendicular bisector is as a line segment that cuts through another line segment at a 90 degree angle. Simply said, a perpendicular bisector separates a line segment into two equal halves by intersecting it at a 90° angle. Measuring a line segment that needs to be bisected will help you discover a perpendicular bisector.

The midway of the measured length can then be determined by dividing it by two. From this center, extend a line at a 90-degree angle. All you need to do to determine the perpendicular bisector of two points is to discover their midpoint and negative reciprocal, then enter these results into the slope-intercept form of the equation for a line.

Here points are P( -4 ,3 ) and Q ( 4,-1)

Mid -point of PQ :

\(=(\frac{x_{1} +x_{2} }{2} , \frac{y_{1} +y_{2} }{2} )\\\\=(\frac{-4+4}{2} ,\frac{3-1}{2} )\\\\=(0,1)\\\)

Slope of PQ:

\(m = \frac{y_{2}{-y_{1} } }{x_{2}{-x_{1} }} \\\\m =\frac{-1-3}{4+4}\\\\ m= \frac{-4}{8} \\\\m = \frac{-1}{2}\)

The slope of the line is Perpendicular to PQ

so, slope 2= -1/m

slope 2 = -1/(-1/2)

slope 2 = 2

Equation of the line  that passes through the midpoint and is perpendicular to PQ

\(y-y_{1} =m(x-x_{1}) \\y-1 =2(x-0}) \\\\y-1=2x\\\)

2x - y +1 = 0.

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Correct Question:

Find the midpoint of PQ with endpoints P (-4, 3) and Q (4,-1) . Then write an equation of the line that passes through the midpoint and is perpendicular to PQ. This line is called the perpendicular bisector.

In reality, however, the two drugs do not differ. This is an example of a Type I errors.

In statistics, a Type I error, also known as a false positive or alpha error, occurs when a null hypothesis that is actually true is rejected. In the context of the given randomized trial, the null hypothesis states that there is no difference between the efficacy of the two drugs.

However, due to random chance or other factors, the trial yielded a statistically significant difference (with a P value < 0.05) between the drugs, leading to the rejection of the null hypothesis.

In reality, since the two drugs do not actually differ in efficacy, the observed difference is likely due to random sampling variability or experimental error. A Type I error can occur when the significance level (alpha) used in the hypothesis test is set too low, leading to a higher likelihood of rejecting the null hypothesis incorrectly.

It is essential to consider Type I errors and carefully interpret the significance of study findings to avoid drawing erroneous conclusions based on statistical significance alone.

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The expression which is equivalent to; six to the negative power of two as given in the task content is; 1 / 36.

It follows from the task content that the expression which is equivalent to six to the negative power of two is to be determined.

Since the given word phrase can be expressed as; 6^-²; it follows from the laws of indices that we have;

= (1 / 6)²

= 1² / 6²

= 1/36.

Ultimately, the equivalent expression is; 1 / 36.

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We have to say if 9,953 is divisible by 2, 3, 4, 5, 9 or 10 and justify each one:

• Is no divisible by 2 becuase the number is odd.

• Is not divisible by 3 becuase the sum of the digits is 26 that is not divisible by 3.

• Is not divisible by 4 becuase the last two digits form a number that is not divisible by 4.

• Is not divisible by 5 because the last digit is not 0 or 5.

• Is not divisible 9 becuase the sum of the digits is 26 that is not divisible by 9.

• Is not divisible by 10 because the last digit is not 0,

Note that the sequence of transformations that takes Triangle ABC to Triangle A'B'C' are given below:

Translation -  the x-coordinate of each vertex in triangle A'B'C' is obtained by subtracting 6 from the x-coordinate of the corresponding vertex in triangle ABC, and the y-coordinate is obtained by subtracting 3 from the y-coordinate. This means a translation of (- 6, -3).

 Reflection - To transform triangle A' B' C' to triangle A''B' 'C'', we need to reflect it across a line.   By comparing the coordinates, we can see that A'' is the reflection o f A'   across the x-axis, B'' is the reflection of B' across the x-axis, and C'' is the reflection of C' across the x-axis. This is  a reflection across the x-axis.

Translation  - Finally, to transform triangle A''B''C'' to triangle A'B'C', we can observe that the x-coordinate of each   vertex in triangle A 'B 'C' is obtained by adding 3 to the x-coordinate of the corresponding vertex in triangle A''B''C'',    and the y-coordinate is obtained by adding 1 to the y-coordinate. This means a translation of (3, 1).

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Answer:

(6/5) mph

Step-by-step explanation:

The inequality that represents Rita saving money from the second option is 0.059x < 0.49 + 0.019x

"Information available from the question"

In the question:

1. Pay $0. 49, plus an additional $0. 019 per minute.

2. Pay $0. 059 per minute.

Now, According to the question:

How to determine the inequality that represents the statement?

We have the following parameters that can be used in our computation:

1. Pay $0.49, plus an additional $0.019 per minute.

2. Pay $0.059 per minute.

These statements can be represented as

Option 1: y = 0.49 + 0.019x

Option 2: y = 0.059x

Where y is the total amount and x is the number of minutes

When she saves money, we have

Option 2 < Option 1

Substitute the known values in the above equation, so, we have the following representation

0.059x < 0.49 + 0.019x.

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The actual weight is 0.0042 pounds lighter than the labeled weight.

The actual weight of the chocolates is 0.3798 pounds, while the label on the bag states it should weigh 0.384 pounds. To determine how much lighter the actual weight is, we can calculate the difference between the two weights.

Subtracting the actual weight from the labeled weight, we get:

0.384 pounds - 0.3798 pounds = 0.0042 pounds.

Therefore, the actual weight is 0.0042 pounds lighter than the labeled weight.

It's important to note that this difference may seem small, but it can be significant depending on the context. Accuracy in labeling is crucial for various reasons, such as complying with regulations, providing precise information to consumers, and ensuring fair trade practices. Even minor discrepancies can impact trust and customer satisfaction.

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Answer:

m∠1 = 90°

Step-by-step explanation:

Since the line is tangent to the circle, it creates a perpendicular bisector with the diameter. That means that the m∠1 has to be 90°

Answer:

-4r+2s-15

Step-by-step explanation:

collect like terms

r-5r= -4r

-6s+8s= 2s

therefore -4r+2s-15

The correct exponential representation is 3⁴, which equals 81 when calculated.

The numerical expression 3.3.3.3 can be simplified by multiplying the factors together. This results in the value 81.

To express this value using exponential notation, we can use the base of 3 and the exponent of 4, since there are four factors of 3 being multiplied.

Therefore, the exponential expression for the numerical expression 3.3.3.3 is 3⁴ or 3 to the power of 4.

This can also be written as 81=3⁴

Exponential expressions are a useful way to represent repeated multiplication of a base number, such as in this case.

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Answer:

840in^3

Step-by-step explanation:

0.5 * b * h * length=voulme

Answer:

1798 and 32798

Step-by-step explanation:

31000/100=310

310x5.8=1798

Answer: £6.80

Step-by-step explanation:

Kara bought 5 jumpers for the price of 4.  Thus, multiply 4.8*5 = 24.  Then divide 24/4 to get 6.

Hope it helps <3

Answer:

222222:#&&&#+17265262

Answer:

number 10

dy/dx =(dy/dt).(dt/dx)

now find

dy/dt=4t-1. , dt/dx=1

so : dy/dx=(4t-1).(1)

dy/dx= 4t-1 ,we have x=t-3-----> t=x+3

subtitute at t

dy/dx= 4(x+3)-1=4x+12-1= 4x+11

For f(1), the given polynomial function f(x) = 16x⁵ - 72x⁴ + 137x³ + 43x² - 244x + 120 is zero.

Given,

The polynomial function;

f(x) = 16x⁵ - 72x⁴ + 137x³ + 43x² - 244x + 120

We have to all the zeros .

Here,

We can use Rational zero theorem;

That is,

f(x) = 16x⁵ - 72x⁴ + 137x³ + 43x² - 244x + 120

Find p/q

Where, p is 16x⁵ - 72x⁴ + 137x³ + 43x² - 244x + 120 and q is 16

So,

p/q = (±16, ±72, ±137, ±43, ±244, ±120) / ±16

= ±1, ±4.6875. ±8.5625, ±2.6875, ±15.25, ±7.5

Now,

f(1) = 1 × 1⁵ - 4.6875 × 1⁴ + 8.5625 × 1³ + 2.6875 × 1² - 15.25 × 1 + 7.5

f(1) = 1 - 4.6875 + 8.5625 + 2.6875 - 15.25 + 7.5

f(1) = 0

That is,

For f(1), the given polynomial function f(x) = 16x⁵ - 72x⁴ + 137x³ + 43x² - 244x + 120 is zero.

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Answer:

Step-by-step explanation:

math   way you can put this picture in and it legit tells u the answer and explains it trust me

Answer:

$150

Step-by-step explanation:

The given equation is 20L + 25G -10.

We need to calculate 4 gardens (G) and 3 lawns (L).

So substitute:

= 20(3) + 25(4) -10

= 60 + 100 - 10

= 160-10

= $150

Answer:

2x+39

Step-by-step explanation:

2x+39 expression represents: twice a number increased by 39​.

An expression is any mathematical statement which consists of numbers, variables and an arithmetic operation between them. In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

here, we have,

given that,

twice a number increased by 39​

let, the number = x

then, we get,

2x+39

Hence, 2x+39 expression represents: twice a number increased by 39​.

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The degree of freedom for the f-test for anova in a regression model with 4 predictors and 47 observations is  (4,42)

degree of freedom = (k, n - k - 1)

= (4, 47 - 4 - 1)

= (4, 42).

Any statistical test with an F-distribution for the test statistic under the null hypothesis is known as an F-test. In order to determine which statistical model better represents the population from which the data were sampled, it is most frequently applied when contrasting models that have been fitted to data sets.

Exact "F-tests" are typically required after least squares fitting of the models to the data. In honor of Ronald Fisher, George W. Snedecor came up with the name. In the 1920s, Fisher created the statistic as the variance ratio.

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Answer:

Step-by-step explanation:

4-2(3+7)=4-2.3+2.7

4-2(10)=4+0.4

4-20=4.4

-16=4.4 which clearly is false

Answer:

D) 12 feet

Step-by-step explanation:

The formula for area of a rectangle is length x width. We have this information: length x 7 = 84. To solve for this, divide 7 from both sides to get: length = 12 feet.

Hope it helps!

Answer:

12 ft

Step-by-step explanation:

L = area / width

L = 84 / 7

L = 12

Answer: VW = 19

Step-by-step explanation: The segment UW has a point V between them, so:

UV + VW = UW

6 + 4x - 1 = 5x

4x + 5 = 5x

x = 5

The numerical length is

VW = 4x - 1

VW = 4(5) - 1

VW = 19

The measure, numerically, of VW is 19

Answer:

Bruno will do 45.7

Step-by-step explanation:

1- gather all info

2-subtract

3- YOURE answer

The smallest number of eggs that could have been in the box is 1134

The problem is to find the smallest number of eggs that could have been in the box, given the remainder when taking them out by different numbers. Here are the moves toward tackling it:

Allow n to be the quantity of eggs in the container. Then we have the accompanying arrangement of congruences:

n ≡ 1 (mod 2)

n ≡ 1 (mod 3)

n ≡ 1 (mod 4)

n ≡ 1 (mod 5)

n ≡ 1 (mod 6)

n ≡ 0 (mod 7)

For this problem, we have k = 6 k = 6, a i = {1,1,1,1,1,0} a_i = {1,1,1,1,1,0}, M i = {1260,840,630,504,420,720} M_i = {1260,840,630,504,420,720}, and y i = {−1,−2,−3,-4,-5,-6} y_i = {-1,-2,-3,-4,-5,-6}.

Plugging these values into the formula and simplifying modulo 5040, we get:

n = (−1260 + −1680 + −1890 + −2016 + −2100 + 0) mod 5040

n = (−8946) mod 5040

n = (−3906) mod 5040

n = 1134 mod 5040

Therefore, the smallest number of eggs that could have been in the box is 1134

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