Answer:
c
Step-by-step explanation:
Since the image was created by reflecting across the x-axis,
that means that the original triangle was in the fourth quadrant
the image however is in the first quadrant
the coordinates of something in the fourth quadrant is (x, -y)
the coordinates of something in the first quadrant is (x, y)
so the answer is "c" since (x, -(y)) = (x, -y)
HELP ME ASAP PLS. If 19,432 divided by x equals 48 with a remainder of 232. What is X?
The value of x, given that when it divides a number, there is a quotient and a remainder, is 400
How to find the value of x?To find the value of divisor, we can use a variant of the division algorithm formula :
Divisor = ( Dividend - Remainder ) / Quotient
x is the divisor
Dividend = 19, 432
Remainder = 232
Quotient = 48
This means that the value of x is:
x = ( 19, 432 - 232 ) / 48
x = 19, 200 / 48
x = 400
In conclusion, x is 400.
Find out more on remainder at https://brainly.com/question/19336517
#SPJ1
Find the probability that a randomly
selected point within the square falls in the
red-shaded circle.
6
18
18
P =
The probability of landing on the red shaded circle is 6/18
Concept of probabilityProbability simply measures the chances at which an event could occur in a sample or population.
Mathematically, Probability is calculated thus:
P(X) = required outcome/ Total possible outcomesHere ,
Required = red circle = 6Entire circle = 18P(red circle ) = 6/18
Therefore, the probability is 6/18
Learn more on probability:https://brainly.com/question/24756209
#SPJ1
Pls answer question with explanation I will give u branliest if u help (find area of the triangle)
Answer:
1. 90
4. 468
Step-by-step explanation:
Answer:
234
Step-by-step explanation:
If your asking about number 4, the formula for the area of a triangle is height times base divided by 2. If we plug in, we get 30 times 15.6 which is 468. Divide by 2 and you get 234.
The laptop was marked down from $895 to $720
Prove that for all whole values of n the value of the expression (n-3)(n+2)-(n-3)(n+8) is divisible by 6.
Answer:
Hence, n 3 −n=n(n+1)(n−1) is divisible by 6.
Step-by-step explanation:
The condition for any number to be divisible by 6 is that the number must be individually divisible by 3 and 2.
Check whether n 3−n is divisible by 3.
n3−n=n(n+1)(n−1)
When a number is divided by 3 then by the remainder theorem, the remainder obtained is either 0 or 1 or 2.
n=3p or n=3p+1 or n=3p+2, where p is some integer.
If n=3p, then the number is divisible by 3.
If n=3p+1, then n−1=3p+1−1=3p. The number is divisible by 3.
If n=3p+2, then n+1=3p+2+1=3(p+1). The number is divisible by 3.
So, any number in the form of n
3
−n=n(n+1)(n−1) is divisible by 3.
Check whether n
3
−n is divisible by 2.
When a number is divided by 2, the remainder obtained is either 0 or 1 by the remainder theorem.
n=2p or n=2p+1, where p is some integer.
If n=2p, then the number is divisible by 2.
If n=2p+1 then n−1=2p+1−1=2p. The number is divisible by 2.
So, any number in the form of n
3
−n=n(n+1)(n−1) is divisible by 2.
Since, the given number n
3
−n=n(n+1)(n−1) is divisible by both 3 and 2. Therefore, according to the divisibility rule of 6, the given number is divisible by 6.
Answer:
Step-by-step explanation:
Let's simplify the equation first:
(n-3)(n+2)-(n-3)(n+8)
= n² - n - 6 - (n² + 5n - 24)
= n² - n - 6 - n² - 5n +24
= -6n - 18
Divisible means that the equation can be divided by 6 with no remainder.
If I divide the equation by 6, I get (-n-3)
It goes in evenly, therefore it is divisible by 6
What are three consecutive multiples of 3 if 2/3
of the sum of the first
two numbers is 1 greater than the third number?
The three consecutive multiples of 3 are 15, 18 and 21
To solve this problem
First, let's determine three successive multiples of 3:
The subsequent two would be "x+3" and "x+6" if we call the initial number "x".
Since we are aware that the third number (x+6) is one more than the first two numbers (x + x+3), we can write the following equation:
2/3(x + x+3) = (x+6) + 1
Simplifying this equation, we get:
2/3(2x+3) = x+7
Multiplying both sides by 3, we get:
2(2x+3) = 3(x+7)
Expanding and simplifying, we get:
4x + 6 = 3x + 21
Subtracting 3x and 6 from both sides, we get:
x = 15
Therefore, the three consecutive multiples of 3 are 15, 18 and 21
Learn more about consecutive multiples here : brainly.com/question/22081489
#SPJ1
Determine which integer will make the inequality x − 3 > 15 true.
D: S:{15}
A: S:{17}
B: S:{18}
C: S:{30}
Answer:
c) S : {30}
Step-by-step explanation:
a) S : {17}
→ 17 - 3 > 15
→ 14 < 15
So, it is not suitable.
b) S : {18}
→ 18 - 3 > 15
→ 15 = 15
So, it is not suitable.
c) S : {30}
→ 30 - 3 > 15
→ 27 > 15
So, it is correct answer.
d) S : {15}
→ 15 - 3 > 15
→ 12 < 15
So, it is not suitable.
Solve for x =2.4x + 3.4=15.4
Answer :
5Explanation :
\(\longrightarrow \qquad \sf{2.4x + 3.4=15.4}\)
Subracting 3.4 from both sides we get :
\({\longrightarrow \qquad \sf{2.4x + 3.4 - 3.4=15.4 - 3.4}}\)
\(\longrightarrow \qquad \sf{2.4x =12}\)
Dividing 2.4 from both sides we get :
\(\longrightarrow \qquad \sf{ \dfrac{2.4x}{2.4} = \dfrac{12}{2.4} }\)
\(\longrightarrow \qquad \sf{ \dfrac{ \cancel{2.4} \: x}{ \cancel{2.4}} = 5 }\)
\(\longrightarrow \qquad \bf{x = 5 } \)
Therefore,
The value of x is 5.Answer:
x = 5
Step-by-step explanation:
\(\mathrm{Multiply\:both\:sides\:by\:}10\)
\(2.4x\cdot \:10+3.4\cdot \:10=15.4\cdot \:10\)
\(\mathrm{Refine}\)
\(24x+34=154\)
\(\mathrm{Subtract\:}34\mathrm{\:from\:both\:sides}\)
\(24x+34-34=154-34\)
\(\mathrm{Simplify}\)
\(24x=120\)
\(\mathrm{Divide\:both\:sides\:by\:}24\)
\(\frac{24x}{24}=\frac{120}{24}\)
x = 5
~Learn with Lenvy~
Given m V nm // n, find the value of x.
The value of x will be;
⇒ x = 113°
What are Parallel lines?Parallel lines are those lines that are equidistance from each other and never intersect each other.
Given that;
Lines m and n are parallel lines.
Now,
Since, Lines m and n are parallel lines.
Hence, By definition of alternate angles of parallel lines, we get;
⇒ x = 113°
Thus, The value of x = 113°
Learn more about the parallel lines visit:
https://brainly.com/question/26961508
#SPJ1
The value of x is 67°.
What are alternate interior angles?Alternate interior angles are the angles formed when a transversal intersects two coplanar lines. They lie on the inner side of the parallel lines but on the opposite sides of the transversal. The transversal crosses through the two lines which are Coplanar at separate points.
According to questions,
Alternate interior angles of 113°, which is in linear pair with x.
x + 113° =180°
x = 67°
Hence the value of x = 67°.
To learn more on alternate interior angles click :
https://brainly.com/question/15685431
#SPJ1
I don’t know how to do this problem help me!!
\(x-9z^5+4z+11+2z^5+14=-5z^5-3z+25\\x=2z^5-7z\)
Therefore, it's \(2z^5-7z\).
10-10=69.420!!!!!!!!!!
The radius of a circular disk is given as 24 cm with a maximum error in measurement of 0.2 cm. (a) Use differentials to estimate the maximum error in the calculated area of the disk. (Round your answer to two decimal places.) cm2 (b) What is the relative error
Answer:
9.60πcm²
Step-by-step explanation:
Area of circular disk, A = πr²
Differntiate A with respect to r
dA/dr = π * (2r^(2-1)) /(2-1) + C
dA/dr = π * 2r/1
dA/dr = 2πr
dA = 2πr * dr
dA = 2πrdr
dA = maximum error ; dr= Error in measurement = 0.2 cm ; r = radius = 24cm
dA = 2π * 24 * 0.2
dA = 9.60πcm²
Cierta clase de microbio se duplica en cada minuto. Si se coloca un microbio en un recipiente de una capacidad determinada, este se llena a los 30 min. ¿En que tiempo se llenará el recipiente si se colocan 2 microbios?
Answer:
En este problema se trata de una función exponencial, donde la cantidad de microbios en el recipiente se duplica cada minuto.
Si x representa el número de minutos transcurridos y y la cantidad de microbios en el recipiente, entonces se puede expresar la función exponencial como:
y = a * (2)^x
Donde "a" es la cantidad inicial de microbios en el recipiente, en este caso a = 1.
Después de 30 minutos, la cantidad de microbios en el recipiente es:
2^30 = 1,073,741,824
Esto significa que si se coloca un solo microbio en el recipiente, se tardará 30 minutos en llenarlo.
Si se colocan 2 microbios en el recipiente, entonces la cantidad inicial de la función exponencial es a = 2, y se busca el valor de x tal que:
2 * (2)^x = 1,073,741,824
Dividiendo ambos lados por 2, se tiene:
(2)^x = 536,870,912
Tomando logaritmos base 2 en ambos lados, se tiene:
x = log2(536,870,912) = 29
Por lo tanto, si se colocan 2 microbios en el recipiente, se tardará 29 minutos en llenarlo.
Step-by-step explanation:
A teacher administers a standardized math test to his class of 75 students. The mean score (out of 300 possible points) is 235. From previous studies, you know the population standard deviation is 28. Using the sample data given, calculate a 95% confidence interval for the population mean.
Answer:
(228.663 ; 241.337)
Step-by-step explanation:
Given that:
Mean (m) = 235
Standard deviation (s) = 28
α = 95%
Zcritical at 95% = 1.96
Sample size (n) = 75
The confidence interval of the population mean can be obtained using the relation :
Mean ± Error
Error = Zcritical * (s/sqrt(n))
Error = 1.96 * (28/sqrt(75))
Error = 1.96 * 3.2331615
Error = 6.33699654
Error = 6.337
Lower boundary = 235 - 6.337 = 228.663
Upper boundary = 235 + 6.337 = 241.337
(228.663 ; 241.337)
Try it out: Write the interval of values shown in the line graph below.
O
10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
From the given number line, the inequality of the given data is -8≤ x ≥9 and Interval notation of the given data is [-8,9].
Define inequality ?In mathematics, a link is called an inequality if it compares two numbers or other mathematical expressions in an unfair manner. Compare the sizes of two numbers on the number line most frequently. Several notations are used to represent different types of inequalities:
The symbol x ≤ y denotes that x is less than equal to y.
When anything is written as x ≥ y, it signifies that x is greater than equal to y.
Inequality of the given data is -8≤ x ≥9
Interval notation of the given data is [-8,9]
To know more about interval notation visit:
https://brainly.com/question/29531272
#SPJ1
Everyone in sandys class has to da a science project . Out of 25 students ,76% have completed their projects .How many students still need to do their projects?
Answer:
The stem-and-leaf plot shows the test scores of a science class. Use the plot to answer the question. 1.how many students scored 78? (1 point) 1 student 2 students 3 students 4 students
the table shows the results of a survey of college students. find the probability that a student's first class of the day is a humanities class, given the student is female. First class of the day for college students male female humanities 70 80 science
Everyone in Andy’s class has to do a science project. Out of the 20 students, 80% have completed their project. How many students still need to finish their projects (got 4 students)
How many of the 28 students in Andy's class are boys, if 4/7 are girls?
Step-by-step explanation:
Help Quickly! A truck needs 7 gallons of fuel to travel 56 miles. Can the truck travel 48 miles with 6 gallons of fuel? Explain.
Giving brainliest
Yes, 7/56 and 6/48 are proportional because 7×48 = 56×6. Therefore, the correct answer is option B.
Given that, a truck needs 7 gallons of fuel to travel 56 miles.
The truck travel 48 miles with 6 gallons of fuel.
Here, the proportion is
7:56::6:48
We know that, the proportion is product of extremes = product of means
7×48 = 56×6
336 = 336
Therefore, the correct answer is option B.
To learn more about the proportional relationship visit:
brainly.com/question/12917806.
#SPJ1
15. Chris can run at a constant speed of 12 km/h. How long will it take him to run from
his home to the park, a distance of 0.8 km?
Remember to check that your answer is reasonable.
Answer:
Step-by-step explanation
1= 12
.8 of 1 = 48
so it should only take him 48 minutes since hes not taking a full hour but 0.8 is two of from an hour
Need help with statistics question please.
25. Filling Bottles A certain brand of apple juice is supposed to have 64 ounces of juice. Because the punishment for under filling bottles is severe, the target mean amount of juice is 64.05 ounces. However, the filling machine is not precise, and the exact amount of juice varies from bottle to bottle. The quality-control manager wishes to verify that the mean amount of juice in each bottle is 64.05 ounces so that she can be sure that the machine is not over- or under filling. She randomly samples 22 bottles of juice and measures the content and obtains the following data:
64.05 64.05 64.03 63.97 63.95 64.02 64.01 63.99 64.00 64.01 64.06 63.94 63.98 64.05 63.95 64.01 64.08 64.01 63.9 63.97 64.10 63.98
(a) Because the sample size is small, she must verify that the amount of juice is normally distributed and the sample does not contain any outliers. The normal probability plot and box plot are shown. Are the conditions for testing the hypothesis satisfied?
(b) Should the assembly line be shut down so that the machine can be re calibrated? Assume =0.06 ounces and use a 0.01 level of significance.
(c) Explain why a level of significance = 0.01 of might be more reasonable than 0.1 [Hint: Consider the consequences of incorrectly rejecting the null hypothesis.]
Answer: Hmm this question was very hard.
Step-by-step explanation:
Ana works 25 hours a week at the library. If she is paid $10 an hour, and her net salary each week is $212.50, what percent of her salary is withheld for taxes?
Approximately 17.65% of Ana's salary is withheld for taxes.
To calculate the percentage of Ana's salary that is withheld for taxes, we need to determine the amount of tax withheld and then express it as a percentage of her net salary.
Number of hours worked per week (H) = 25 hours
Hourly wage (W) = $10
Net salary (S) = $212.50
Calculate the total earnings before taxes:
Total earnings = Hours worked * Hourly wage
Total earnings = 25 hours * $10/hour
Total earnings = $250
Determine the amount of tax withheld:
Tax withheld = Total earnings - Net salary
Tax withheld = $250 - $212.50
Tax withheld = $37.50
Calculate the percentage of salary withheld for taxes:
Percentage withheld = (Tax withheld / Net salary) * 100
Percentage withheld = ($37.50 / $212.50) * 100
Percentage withheld ≈ 17.65%
Therefore, approximately 17.65% of Ana's salary is withheld for taxes.
for such more question on percentage
https://brainly.com/question/24877689
#SPJ8
Using complete sentences, explain which function has the greatest y-intercept.
Answer:
Step-by-step explanation:
this is correct trust me im learning this and passing the concept h(x)=2+3
and f(x)=3x-2
Here is a tip use desmos it is a graphing calculater and will tell you the answer
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.
Answer:
y = 10 x = 4
Step-by-step explanation:
Answer:
y = 10x - 30
Step-by-step explanation:
x = 5
5 x 10 = 50
50 - 30 = 20
y = 20
x = 6
6 x 10 = 60
60 - 30 = 30
y = 30
x = 7
7 x 10 = 70
70 - 30 = 40
y = 40
x = 8
8 x 10 = 80
80 - 30 = 50
y = 50
Find the distance between point P and line L
The distance between point P and line L is 16/9√(13).
To find the distance between point P and line L, we can use the formula for the distance between a point and a line in two-dimensional space. The formula is as follows:
Let P = (x1, y1) be the point and L be the line ax + by + c = 0. Then the distance between P and L is:
|ax1 + by1 + c|/√(a² + b²)
To find a, b, and c for the given line, we need to put it in slope-intercept form y = mx + b by solving for y.
2x - 3y = 12=> 2x - 12 = 3y=> (2/3)x - 4 = y
The slope of the line, m, is the coefficient of x, which is 2/3. Therefore, the line is:
y = (2/3)x - 4The values of a, b, and c are: a = 2/3b = -1c = -4
Now we can substitute the coordinates of P and the values of a, b, and c into the formula for the distance between a point and a line.
Let P = (3, 5).|a(3) + b(5) + c|/√(a² + b²)= |(2/3)(3) - 1(5) - 4|/√[(2/3)² + (-1)²]= |-4/3 - 4|/√(4/9 + 1)= 16/9√(13).
for such more questions on distance
https://brainly.com/question/30395212
#SPJ8
Help me please! It’s number 45.
5 is 1/2% of what number
Each side a square calendar is 7 inches long. what is the calendar's area
Answer:
49 square inches
Step-by-step explanation:
Length x width =area
since it is a square, all sides have a length of 7 inches
7x7=49 inches ^2
Create an equivalent expression for five eighths raised to the negative first power times forty-two hundredths raised to the second power.
a) (0.625)(0.42)2
b) eight fifths raised to the first power times the quantity one over forty-two hundredths raised to the second power
c) (1.6)(0.42)2
d) 0.11
The equivalent expression for five eighths raised to the negative first power times forty-two hundredths raised to the second power is option B
Exponential(5/8)^-1 × (0.42)^2
= {1 ÷ (5/8)¹} × 0.42²
= {1 × (8/5)¹} × 0.42²
= (8/5)¹ × 0.42²
Therefore, the equivalent expression is eight fifths raised to the first power times the quantity one over forty-two hundredths raised to the second power
Learn more about exponential:
https://brainly.com/question/27161222
#SPJ1
Answer:
(1.6) (0.42)^2 C
Step-by-step explanation:
I had originally put B, but my teacher explained and said its C.
the first part of b is correct where it says 8/5, bc you need to flip it in order to not have a negative exponent (you cant have a negative exponent as an answer) but 0.42 is correct and iit does not need to be fliped, since there is no (8/5)(0.42)^2 option, you need to make the 8/5 into a decimal, it becomes 1.6 and so the answer is C
What is the slops of the line passing through (-1, 2) and (-3, -2)? PPPPLLLZZZ HELP!!!!
A. 2
B. -1/2
C. 1/2
D. -2
Answer:
A. 2
Step-by-step explanation:
Count the steps to get to the both points.
From (-3, -2) to (-1, 2), it gets up by 4 and move to the right by 2.
Rise ÷ Run = 4 ÷ 2 = 2
Answer:
I think it's D
Step-by-step explanation:
because it's same to another one so D only
There is a mother-daughter tea that will be attended by 20 mother-daughter pairs, including the hosts. The rules of conduct are very strict; the host mother-daughter will greet everyone, all the guest mothers will greet everyone, and all the guest daughters will greet all the mothers only. How many greetings will there be?
In total, the number of greetings will be 1159.
Why do you use the term "numbers"?Mathematical symbols used to represent quantities or values include numbers. They are employed in the measurement, comparison, addition, subtraction, multiplication, and division processes in mathematics. According to their qualities and properties, numbers can be categorized into a variety of groups, including natural numbers, whole numbers, integers, rational numbers, irrational numbers, real numbers, and complex numbers. There are specific properties and guidelines for mathematical operations for each group of numbers. Mathematics depends on numbers, which are also utilized in many other disciplines, including science, engineering, economics, and statistics.
The number of greetings exchanged between the host and the other mothers and daughters must be counted first. Since there is only one host, the number of mother-daughter pairs is 20 - 1 = 19. There are thus a total of 38 greetings, 19 between the host and the other moms, and 19 between the host and the other daughters.
The number of pleasantries exchanged between the guest mums and everyone else must next be tallied. The host, the other mothers, and the daughters must all be greeted, making a total of 20 - 1 = 19 guest mothers. Thus, each host mother must extend 1 + 19 + 20 = 40 greetings. There will be 760 greetings exchanged between the guest mothers and everyone, or 19 x 40.
The number of pleasantries exchanged between the mothers and the invited girls must also be tallied. Moreover, there are 20 guest girls, so 19 of them must welcome the mothers. As a result, there will be 361 pleasantries exchanged between the mothers and the guest daughters.
In total, the number of greetings will be 38 + 760 + 361 = 1159.
To know more about numbers visit:
https://brainly.com/question/26856218
#SPJ1
PLSSSS HELP!
11^9–11^8+11^7 is divisible by 3 and 37.
Answer:
No.2163075981
Step-by-step explanation:
my name is gabe itch