Answer:
3/5 = 6/10, which is 0.6 in decimal form
Is ΔPXY≅ΔPXZ yes or no
Complete the following statement of congruence:
A. TRS
B. RTS
C. STR
D. RST
Answer:
B. △RTS
Step-by-step explanation:
△MON ≅ △RTS
If f(x) = 4x - 3 and g(x) = x + 4, find (f- g)(x).
Answer:
(f-g)=3x-7
Step-by-step explanation:
First find f-g
4x-3 - x+4
This becomes 3x-7
Which graph represents the solution set of the compound inequality below?
x+3<= (4x-12) < 20
OH
4 5 6 7 8 9 10 11 12
4 5 6 7 8 9 10 11 12
6 7 8 9 10 11 12 13 14
6 7 8 9 10 11 12 13 14
A graph that represents the solution set of the compound inequality is: graph D.
What is an inequality?In Mathematics, an inequality simply refers to a mathematical relation that is typically used for comparing two (2) or more numerical data and variables in an algebraic equation based on any of the following inequality symbols:
Less than (<).Greater than (>).Greater than or equal to (≥).Less than or equal to (≤).Next, we would solve the given compound inequality by making x the subject of formula as follows;
x + 3 < 1/2(4x - 12) < 20
Multiplying all through by 2, we have the following:
2x + 6 < 4x - 12 < 40
Next, we would solve the compound inequality in parts:
2x + 6 < 4x - 12
4x - 2x < 12 + 6
2x < 18
x < 18/2
x < 9.
4x - 12 < 40
4x < 40 + 12
4x < 52
x < 52/4
x < 13.
In conclusion, the line on a number line (graph) should be open when the inequality symbol is greater than (>) or less than (<).
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x minus 2 is equal to 7
Ms. Keenan is a high school teacher who wants to know how much time students spend studying each day. She finds that the average student spends 3.00 hours a day studying (s - 0.75). Assuming that studying hours is normally distributed, what percentage of students study less than 2.50 hours a day?
© 25.14 percent
© 19.15 percent
© 10.93 percent
© 24.86 percent
The requried, percentage of students who study less than 2.50 hours a day is approximately 25.14 percent.
What is the Z -a score?A Z-score is stated as the fractional model of data point to the mean using standard deviations.
We need to convert 2.50 hours to a standard score (z-score) using the formula,
z = (x - μ) / σ
where x is the value we want to convert, μ is the mean, and σ is the standard deviation.
z = (2.50 - 3.00) / 0.75
z = -0.67
This means that 2.50 hours is 0.67 standard deviations below the mean.
We can use a standard normal distribution table or a calculator to find the percentage of the distribution that falls below this standard score. For example, using a standard normal distribution table, we can look up the area to the left of z = -0.67 and get:
P(z < -0.67) = 0.2514
So the correct answer is (a) 25.14 percent.
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QUESTION 25
Solve for a. Enter a number answer only.
25
a
24
Answer: 7
Step-by-step explanation:
We can use the Pythagorean theorem (a^2+b^2=c^2) so 25^2=625, and 24^2=576
576+b^2=625 b^2=49 b - (a)=7
the perimeter of a semicircle protractor is 14.8cm,find it's radius
The radius of the semicircle protractor is approximately 4.693 cm.
Given,Perimeter of a semicircle protractor = 14.8 cm.
To find:The radius of a semicircle protractor.Solution:We know that the perimeter of a semicircle protractor is the sum of the straight edge of a protractor and half of the circumference of the circle whose radius is the radius of the protractor.
Circumference of a circle = 2πrWhere, r is the radius of the circle.If the radius of the semicircle protractor is r, then Perimeter of a semicircle protractor = r + πr [∵ half of the circumference of a circle =\((1/2) × 2πr = πr]14.8 = r + πr14.8 = r(1 + π) r = 14.8 / (1 + π)r ≈ 4.693\) cm.
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can you please help me this is not a quiz this is only hw
To answer this question, we need to remember the Associative Property of Multiplication:
\(a\cdot(b\cdot c)=(a\cdot b)\cdot c\)If we have that:
\(6\cdot(2\cdot b)\)Then
\(6\cdot(2\cdot b)=(6\cdot2)\cdot b=12\cdot b=12b\)Therefore, we can say that:
First Part:
\(6(2b)=(6\cdot2)b\)Second Part:
\(6(2b)=12b\)Simplify i) ( x-y )( x−y )( x−y )
The simplified expression for ( x - y ) ( x - y ) ( x - y ) is x³ - x²y - xy² + y³.
To simplify ( x - y ) ( x - y ) ( x - y ), we can expand the expression using the distributive property of multiplication. We can also simplify the expression by combining like terms.
In using the distributive property of multiplication, we multiply each term in the first set of parentheses by each term in the second set of parentheses. This gives us:( x - y ) ( x - y ) ( x - y ) = ( x(x - y) - y(x - y) ) ( x - y )= ( x² - xy - xy + y² ) ( x - y )= ( x² - 2xy + y² ) ( x - y )
Now we can further simplify the expression by combining like terms. We can use the difference of squares formula to simplify the second set of parentheses.( x² - 2xy + y² ) ( x - y ) = ( x - y ) ( x - y )²= ( x - y ) ( x² - 2xy + y² )= x³ - x²y - 2xy² + xy² - xy² + y³= x³ - x²y - xy² + y³
Therefore, the simplified expression is x³ - x²y - xy² + y³.
Summary: To simplify ( x - y ) ( x - y ) ( x - y ), we expand the expression using the distributive property of multiplication. We simplify the expression by combining like terms. We use the difference of squares formula to simplify the second set of parentheses. Finally, we simplify the expression further by combining like terms. The simplified expression is x³ - x²y - xy² + y³.
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Suppose that IQ scores have a bell shaped distribution with a mean of 103 and a standard deviation of 15. Using the empirical rule, what percentage of IQ scores are at least 133?
Answer:
95% of the data would lie between the two standard deviation range.
Step-by-step explanation:
Hey please help :3 will mark Brainliest ! Be geniuine
Answer:
Area is 648
Step-by-step explanation:
Each of the 6 triangles has base RI = 18 and height of ED/2 = 24/2 = 12
Area of each triangle is 18*12/2 = 108
And we have 6 triangles, for a total of 108*6 = 648
What is the equation of the graph below
Answer:
y = csc(x)+2
Step-by-step explanation:
This is the graph of y = csc(x), shown in the attached image, shifted up 2 units.
Two sides of a triangle measure 10 feet and 14 feet. Which
inequality shows the possible lengths for the third side, x?
Answers options:
10 ≤ x ≤ 14
4 ≤ x ≤ 24
10 < x < 14
4 < x < 24
\(▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)
The third side of the Triangle should be greater than the difference of other two sides, so
\(x > 14 - 10\)\(x > 4\)And, The third side should be less than the sum of other two sides that is ~
\(x < 14 + 10\)\(x < 24\)Considering these two inequalities, we get ~
\(4 < x < 24\)Which insect measurement was the most frequent?
Length of insects (in inches)
The insect measurement that was the most frequent is given as follows:
1 and 1/4 inches.
How to obtain the most frequent insect measurement?A dot plot is a simple graphical display that uses dots to represent data values. It is also sometimes called a dot chart or a scatterplot. In a dot plot, each data point is represented by a dot along a number line or axis, where the position of the dot corresponds to the value of the data point.
Hence, a dot plot shows the number of times that each observation appeared in the data-set.
The observation with the most dots is the observation 2/8 of the way between 1 and 2, hence the most frequent observation is given by the following mixed number:
1 and 2/8 = 1 and 1/4 inches.
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32q+4= please help me
Answer:
q = -1/8
Step-by-step explanation:
You're trying to solve for q
32q+4=0
Subtract 4 both sides
32q=-4
Now Divide -4 by 32 (This means you have to simplify)
-4/32 = -1/8 due to the common factor of 4.
q = -1/8
Answer:
4(8q+1)
Step-by-step explanation:
32q+4
4*8q+4*1
4(8q+1)
Select the values that make the inequality y/8 ≤ 2. true. Then write an equivalent inequality, in terms of y. (Numbers written in order from least to greatest going across.)
y/8 ≤ 2 is equivalent to y ≤ 16.
What is inequality?Inequality in math is a statement that two expressions or values are not equal. This can be expressed using symbols such as >, <, ≥, or ≤. Inequality problems are used to solve for a variable that is not necessarily equal to a given value. An example of an inequality problem is finding the value of a variable in the equation x > 5. The solution to this problem is all real numbers greater than 5.
This is happening because when we divide both sides of the inequality y/8 by 8, we are essentially dividing both sides of the inequality by the same number. This preserves the order of the numbers and the inequality sign. So, dividing both sides by 8 results in y ≤ 16, which is the same as y/8 ≤ 2.
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factor -1/2 out of -1/2 x + 6
Answer:
\(-1/2 * (x - 12)\)
Step-by-step explanation:
Divide each term of the expression by -1/2. -1/2x divided by -1/2 = x. 6 / -1/2 = -12.
A right triangle is shown.
Enter the value of x.
ANSWE ASAPPP
. What is the total number of digits
printed, if a book containing 150
pages is to be numbered from 1 to
150?
Solution :-
Total number of pages in the book = 150
Total number of one digit numbers = From 1 to 9
= 1*9
9 digits
Total number of two digit numbers = From 10 to 99
= 2*90
= 180 digits
Total number of three digit numbers = From 100 to 150
= 3*51
= 153 digits
Total number of digits printed in the book containing 150 pages
= Total number of one digit numbers + Total number of two digit numbers +
Total number of two digit numbers
= 9 + 180 + 153
= 342 Digits
Hence, total 342 digits are printed in the book which has 150 pages.
Jared estimates that he can apply fertilizer to 4485 square feet of grass in 3/4 of an hour. How many square feet of grass can Jared fertilize per hour.
Answer: 5980 square feet
Step-by-step explanation: We know that Richard can apply fertilizer to 4485 square feet = 3/4 hour. To solve this problem, one approach is to find 1/4 then multiply by 4 to get the whole 4/4 or 1 hour. So the solution would be: 4485/3=1495 Then multiply this by 4. 1495 multiplied by 4 is equal to 5980 square feet. So Richard can apply fertilizer to 5980 square feet in 1 hour. This is solved by an anonymous 10-year-old girl.
A standard working day is 8 hours. If you were to work 125% of a normal day, how many total hours would you work?
Answer:
10
Step-by-step explanation:
Whenever we see "of" we know its multiplication
125% x a normal day
125% x 8
\(\frac{125}{100}\) x 8
10
:)
Maria already has a cell phone plan that he pays $98.56 per month. She wants to add his tablet to his cell phone plan with 2 extra GB of data. Each GB of data costs $12.95. How much will his bill be after he adds his tablet onto his plan?
Mr. Cho received a container of fresh eggs. He sold 1/3
of the eggs in the
morning and sold 320 eggs in the afternoon. At the end of the day, he
found that 1/4
of the eggs were not sold. How many eggs did he receive in
the beginning?
Mr. Cho received 3840 eggs in the beginning.
Let's assume that Mr. Cho received x eggs in the beginning.
In the morning, he sold 1/3 of the eggs, so he had 2/3 of the eggs left. Therefore, he had 2/3 x eggs left after the morning sales.
In the afternoon, he sold 320 eggs, so he had 2/3 × x - 320 eggs left at the end of the afternoon.
At the end of the day, he found that 1/4 of the eggs were not sold, which means that he had 3/4 of the eggs left. Therefore, we have:
3/4 × x = 2/3 × x - 320
Multiplying both sides by 12, we get:
9x = 8x - 3840
Simplifying, we get:
x = 3840
Therefore, Mr. Cho received 3840 eggs in the beginning.
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Identify the number of solutions of the system of linear equations.
x=y+3z=6
x-2y = 5
2x - 2y + 5z = 9
no solution
exactly one solution
infinitely many solutions
Solve the system. If there are infinitely many solutions, write the ordered triple in terms of z. If there is no solution, lea
The solution is (x, y, z)
-1.2
3
The solution to the system of linear equations is (x, y, z) = (64/11, 37/11, 9/11). The system has exactly one solution.
Let's solve the system of linear equations correctly.
The given system of linear equations is:
x = y + 3z = 6
x - 2y = 5
2x - 2y + 5z = 9
To determine the number of solutions, we can analyze the system using the method of elimination or substitution. Let's use the method of elimination:
From equation 1, we have:
x = y + 3z
Substituting this value of x in equation 2:
(y + 3z) - 2y = 5
y + 3z - 2y = 5
-z + 3z = 5 - y
2z = 5 - y
Now, let's substitute the value of x in equation 3:
2(y + 3z) - 2y + 5z = 9
2y + 6z - 2y + 5z = 9
11z = 9
Simplifying the equation, we find:
z = 9/11
Now, substituting this value of z back into the equation 2z = 5 - y, we get:
2(9/11) = 5 - y
18/11 = 5 - y
18/11 - 5 = -y
18/11 - 55/11 = -y
-37/11 = -y
y = 37/11
Finally, we can substitute the values of y and z into equation 1 to find the value of x:
x = y + 3z
x = 37/11 + 3(9/11)
x = 37/11 + 27/11
x = 64/11
Therefore, the solution to the system of linear equations is (x, y, z) = (64/11, 37/11, 9/11).
The system has exactly one solution.
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Find the equation (in slope-intercept form) of the line with the given slope that passes through the point with the given coordinatesslope: -3, ordered pair: (-4,-2)
Given:
The slope of line, m= -3.
The coordnates of the point through which the line passes, (x1, y1)=(-4, -2).
The point slope formula to fidn the equation of a line is given by,
\(y-y1=m(x-x1)\)Substitute the known values.
\(\begin{gathered} y-(-2)=-3(x-(-4)) \\ y+2=-3(x+4) \\ y+2=-3x-3\times4 \\ y+2=-3x-12 \\ y=-3x-12-2 \\ y=-3x-14 \end{gathered}\)Therefore, the equation of the line is y=-3x-14.
could you please help with this equation:
Simplify the algebraic expression: 4(3x + y) – 2(x – 5y)
Answer: 10x + 14y
Step-by-step explanation: just simplify it
Answer:
10x+14y
Step-by-step explanation:
HELP Find the 29th term of the arithmetic sequence: -13, -6, 1, 8,...
Answer: so the answer is -9 + 23*7 = 152
Step-by-step explanation: a24 = a1 + (24-1)d where a1 = -9 and d = common difference ( 12-5 = 7)
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The probability of winning a game is 25% How many times should you expect to win if you
play 36 times?
3 times
07 times
9 times
O 11 times
Answer:
9 times
Step-by-step explanation: