Answer:
the sale tax is 19.60
Step-by-step explanation:
245*0.08=19.60
Answer:
19.6
Step-by-step explanation:
8 percent *245 =
(8:100)*245 =
(8*245):100 =
1960:100 = 19.6
Which of the following are true? I. Through any two points, there is exactly one line. I. A line must contain at least three points. Ill. Two lines intersect at exactly one point. N. Two planes intersect at exactly one line. A. I, III, and IV B. I and II C. II and Ill D. III and IV
The correct statements are I, III and IV. The correct option is A.
What is coordinate geometry?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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Convert 838% to an improper fraction written in its simplest form
To convert percent to a number divide it by 100
Then to convert 838% to a number divide it by 100
\(838\text{ \%=}\frac{838}{100}\)To simplify divide up and down by 2
\(\begin{gathered} \frac{838}{100}=\frac{\frac{838}{2}}{\frac{100}{2}} \\ \frac{838}{100}=\frac{419}{50} \end{gathered}\)The improper fraction is 419/50 in the simplest form
At what age do many children have the ability to do simple arithmetic problems?
a. Early childhood
b. Middle childhood
c. Infancy
d. Toddler
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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Find the midpoint of $\overline{pq}$ with endpoints $p\left(-4,\ 3\right)$ and $q\left(4,-1\right)$. Then write an equation of the line that passes through the midpoint and is perpendicular to $\overline{pq}$. This line is called the perpendicular bisector.
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.
A randomized trial comparing the efficacy of two drugs showed a difference between the two (with a P value < 0.05). Assume that in reality, however, the two drugs do not differ. This is therefore an example of:
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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Find the 81st term of the arithmetic sequence 8,7,6
what’s equivalent to six to the negative power of two
The expression which is equivalent to; six to the negative power of two as given in the task content is; 1 / 36.
Which expression is equivalent to six to the negative power of two?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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consider the number 9,953.is this number divisible by 2,3,4,5,9 or 10? provide justification for each number.
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,
Triangle ABC has coordinates A= (1,3), B = (2,0), and C = (4,1). The image of this triangle after a sequence of transformations is triangle ABC where A= (-5,-3), B’ = (-4,0), and C’ = (-2,-1)
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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Natalie walked 3/5 mile in 1/2 hour . how fast did she walk in miles per hour
Answer:
(6/5) mph
Step-by-step explanation:
Rita plans to make a call using a calling card. For each call, rita has two options: 1. Pay $0. 49, plus an additional $0. 019 per minute. 2. Pay $0. 059 per minute. She predicts that her call will be x minutes long. Which inequality represents the statement, "rita would save money using the second option"?.
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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a bag of chocolates is labeled to contain 0.384 pounds of chocolate. the actual weight of the chocolates is 0.3798 pounds. how much lighter is the actual weight?
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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Find M<1 A) 84 B) 90 C) 44 D) 168
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°
What is the answer to r-5r-6s+8s-15
Answer:
-4r+2s-15
Step-by-step explanation:
collect like terms
r-5r= -4r
-6s+8s= 2s
therefore -4r+2s-15
What is the exponential expression for the numerical expression 3.3.3.3? 4 3 , 4x 3 4, 3 4, 12 4
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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find the volume. please help i’m confused
Answer:
840in^3
Step-by-step explanation:
0.5 * b * h * length=voulme
The next model of a sports car will cost 5.8% more than the current model the current model cost 31,000 how much will the price increase in dollars what will be the price of the next model
Answer:
1798 and 32798
Step-by-step explanation:
31000/100=310
310x5.8=1798
A shop has an offer on jumpers as shown below.
Buy 4 jumpers and get 1 free!
Kara gets 5 jumpers
After applying the offer, each one ends up costing £4 80 per jumper
What is the regular cost of one jumper when not in this offer?
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
Hi I need help :( Pls show your working..Will give brainliest for helpful answer
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
find all the zerosf(x)=16x^5-72x^4+137x^3+43x^2-244x+120
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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can someone help me 17
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
HELP PLS 41 POINTS PLS URGENT
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
which expression represents: twice a number increased by 39
Answer:
2x+39
Step-by-step explanation:
2x+39 expression represents: twice a number increased by 39.
What is an expression?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 f-test for anova in a regression model with 4 predictors and 47 observations would have how many degrees of freedom?
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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Is the statement true or false?
4 - 2(3 + 7) = 4 – 2.3+2.7
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
Help please!!!!!!!!!!!!!
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
What is the scale factor of this diagram
a1/2
b1/3
c2
d3
Point V is on line segment \overline{UW}
UW
. Given UV=6,UV=6, UW=5x,UW=5x, and VW=4x-1,VW=4x−1, determine the numerical length of \overline{VW}.
VW
.
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
Sam and Bruno were computing how many kilometers they rode in the 3 bike trips they took last month. In order, they rode 45.7, 40.9, and 38 miles. Their solutions are shown. Sam’s Solution Bruno’s Solution If one kilometer equals 0.621 miles, which is the best solution to find the total number of kilometers they rode? Why is it correct?
Answer:
Bruno will do 45.7
Step-by-step explanation:
1- gather all info
2-subtract
3- YOURE answer
A farmer goes to the market to sell a box of eggs. A clumsy horse steps on the box of eggs and breaks a lot of them. The horse’s rider offers to pay for all of the eggs in the box and asks the farmer how many eggs there were. The farmer does not remember the exact number, but when she took them out of the box two at a time, there was 1 egg left. The same thing happened when she took them out three, four, five and six eggs at a time, but when she took them out 7 at a time, there were no eggs left
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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