Answer:
\(xy^2 + 5\)
Step-by-step explanation:
Given
\(x^3y^2 + 8xy^2 + 5x^2 + 40\)
Required
Select a possible factor
\(x^3y^2 + 8xy^2 + 5x^2 + 40\)
Factorize:
\(xy^2(x^2+8)+5(x^2+8)\)
\((xy^2+5)(x^2+8)\)
From the given options, one of the factors is (a) \(xy^2 + 5\)
From the given options, one of the factors is (a)
What is the sum of the first four composte numbers?
19
20
27
28
Answer:
27
Step-by-step explanation:
The first four composite numbers are - 4, 6, 8, 9.
Add these all together and you get 27. Hope it helps!
Answer:
is 19
Step-by-step explanation:
Circle X is shown in the diagram.
Circle X is shown. 2 chords intersect at a point to form arcs a and b. Arc a is intercepted by angle 1. Arc b is intercepted by angle 2. Arcs d and c are the other 2 arcs.
Which equation can be used to solve for m∠1?
m∠1 = One-half(a – b)
m∠1 = One-half(a + b)
m∠1 = One-half(c – d)
m∠1 = One-half(c + d)
Answer:
The equation that can be used to solve for m∠1 is:
m∠1 = One-half(a – b)
This is because angle 1 intercepts arc a, which has a measure of a. By the same token, angle 2 intercepts arc b, which has a measure of b. The sum of the measures of angles 1 and 2 is equal to the measure of the angle formed by the two intersecting chords, which is one-half the sum of the measures of arcs a and b. Therefore, we have:
m∠1 + m∠2 = One-half(a + b)
Since m∠2 is not given, we cannot solve for m∠1 using this equation. However, we can use the fact that the sum of the measures of the angles in a triangle is 180 degrees to get:
m∠1 + m∠2 + m∠3 = 180
where m∠3 is the measure of the angle formed by the two chords outside the circle. Since this angle is supplementary to angle 1, we have:
m∠1 + m∠3 = 180
Substituting the equation for the sum of the measures of angles 1 and 2, we get:
m∠1 + One-half(a + b) = 180
Solving for m∠1, we get:
m∠1 = 180 - One-half(a + b) = One-half(360 - a - b) = One-half(a - b)
How many solutions does this equation have?
9m + 8 - 3m = 4(m + 5)
Answer:
yyyg h ug guy Judy bg
Step-by-step explanation:
by HGTV byf g gu o
Exactly 1 solution
I took the test in k12 and this is the correct answer.
Good luck
De qué manera el conocimiento sobre el cálculo de perímetro puede ser de utilidad para la vida cotidiana?
Answer:
En la vida cotidiana, el conocimiento sobre el cálculo de perímetro nos puede ser útil al momento de conocer una longitud total. El perímetro de una figura corresponde a la suma de la longitud de los lados que la conforman.
The fraction of PKR 1 is 50 paisas
The fraction that represents the rate between PKR and Paisas is given as follows:
1/50.
What is a fraction?A fraction is a numerical representation of the division of the two terms x and y, as follows:
Fraction = x/y.
As the rate is PKR 1 = 50 paisas, we have that the fraction that represents the rate between PKR and Paisas is given as follows:
1/50.
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In an effort to determine the most effective way to teach safety principles to a group of employees, four different methods were tried. Some employees were given programmed instruction booklets and worked through the course at their own pace. Other employees attended lectures. A third group watched a television presentation, and a fourth group we divided into small discussion groups. A high of 10 was possible. A sample of 5 tests were selected from each group. The results were: Sample Programmed Instruction Lecture TV Group Discussion 1 6 8 7 8 2 7 5 9 5 3 6 8 6 6 4 5 6 8 6 5 6 8 5 5 At the 0.01 level, what is the critical value
Answer:
critical value = 5.29
Step-by-step explanation:
Given that they are divided into 4 groups and a sample of 5 test was selected
N = 5 * 4 = 20
k = 4
∝ = 0.01
Df for numerator ( SS group )= k - 1 = 3
Df for denominator ( SSE group ) = N - k = 20 - 4 = 16
DF ( degree of freedom )
Next we will use the F table to determine the critical value
Critical value = \(F_{16,3,0.01}\) = 5.29
Fill in the blank below with the correct units. The school bus has a mass of about 8000 ————. Solve the problem. Then use either grams or kilograms
Answer:
kilograms
Step-by-step explanation:
theoretically, a bus cant be measured in grams, because its too light and unrealistic.
The school bus has a mass of about 8000 kilograms.
What is meant my mass?
"Mass is the quantity of matter in a physical body. It is also a measure of the body's inertia, the resistance to acceleration (change of velocity) when a net force is applied."
What is kilogram?"The kilogram is the base unit of mass in the International System of Units (SI), the metric system, having the unit symbol kg."
Theoretically, a bus can't be measured in grams. Because its not too light to lift and heavy in weight.
∴ The school bus has a mass of about 8000 kilograms.
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Write a biconditional for the following conditional. Then state the truth value of the statement
If two lines intersect at right angles, then they are perpendicular.
The biconditional for the conditional statement is : Two line intersect each other at right angles . The two lines are perpendicular.
A conditional statements are part of mathematical reasoning, a fundamental ability that enables students to evaluate a given hypothesis without reference to a particular context or meaning.
Simply put, when a scientific research or allegation is studied, the logic is not reliant on an individual's viewpoint. Deductions and evidence must have factual and scientific foundations.Conditionals are programming language instructions used to manage judgments in the field of computer science. They are also referred to as conditional statements, conditional expressions, and conditional constructions.One needs to be capable of logical reasoning and critical thinking in mathematics in order to respond to questions involving mathematical reasoning and conditionals.The truth value for the conditional statement is true as we know that when two lines intersect at 90° then they are said to be perpendicular.
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Please help geometry and triangles!!!
Answer:
For 6, iT would be 26
Step-by-step explanation:
What is the best Estimation for the product of 1.09 times 5.4 A.0x5=0 B.10x5=50 C.11x5=55 D.1x5=5
Answer: D) 1*5=5
Step-by-step explanation: 1.09*5.4=5.5 so the closest number to that is 5.The rest of the answer choices are not possible.
Help please friendssssssssss
Answer: 6/(6+2x) ; (-infinity, -3) U (-3, infinity)
Step-by-step explanation:
(a) This can be read as f(x) composed of g(x). Plug in the expression given for g(x) for every x value in f(x):
(6/x)/(6/x+2)
I gave the terms in the denominator the same denominator to combine the bottom two terms into one term. 6/x + 2 is equal to 6/x + 2x/x -->
(6 +2x)/x
Do the classic keep, change, flip. \(\frac{6}{x} * \frac{x}{6+2x}\)
This simplifies to: \(\frac{6}{6+2x}\)
(b) Domain is all real numbers except for what makes the denominator equal to 0. 6 + 2x = 0 when x = -3. Therefore it is all real numbers except -3.
Solve for x.
37°
8 cm
x = [?] cm
X
Round to the nearest hundredth.
X
The measure of side length x in the right triangle is approximately 6.03 cm.
What is the measure of side length x?The figure in the image is a right triangle having one of its interior angle at 90 degrees.
From the figure:
Angle θ = 37 degrees
Adjacent to angle θ = 8 cm
Opposite to angle θ = x
To solve for the missing side length x, we use the trigonometric ratio.
Note that: tangent = opposite / adjacent
Hence:
tan( θ ) = opposite / adjacent
Plug in the given values and solve for x:
tan( 37 ) = x / 8
x = tan( 37 ) × 8
x = 6.03 cm
Therefore, the value of x is 6.03 cm.
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Geometry Level Math Please Help
Answer:
D=42
B and C =138
:)))))))))
Kristian spends 45% of his $72 on a computer game. Calculate the price of the computer game
Answer:
$32.40
Step-by-step explanation:
45% = 0.45
72(0.45) = 32.4
Based on the amount Kristian had and the percentage spent on the game, the price of the game is $32.40.
What is the Price of the Game?The price of the game can be found as:
= Amount Kristian has x Percentage spent on game
Solving gives:
= 45% x 72
= $32.40
In conclusion, the price of the game is $32.40.
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A quilter created the following shape to use in a block for a new quilt.
A six-sided figure with a large base of 13 inches. The side to the right of the base is 7 and one-half inches. The small side parallel to the base is 5.18 inches. There are two sides that form a point at a right angle. The smaller is 5 inches, and the larger is 6 inches.
What is the area of the shape for the quilt block?
sixty-three and three fourths in2
one hundred twelve and one half in2
one hundred twenty-seven and one half in2
225 in2
The total area of the quilt is: 112.5 square inches
How to determine the total area of the quilt?The six-sided figure is given, and we can deduce the following parameters from the question:
The shape is made of a triangle and a rectangle
The side lengths derived from the question are:
The triangle on top:
base: 5 inches and height: 5.18 inches
The rectangle at the bottom:
Base: 16 inches with a height of 7.5 inches
So, we have the total area of the figure to be
Area of figure = 1/2 * 5 * 6 + 13 * 7.5
Area of figure = 112.5
Based on the parameters, the total area is 112.5 square inches
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Help me thank you :(
Answer:
m=3
y(-2/3, 2)
Step-by-step explanation:
please help!!! only 20 mins left
The rule of (x, y) → (-x, y), which is reflection over y-axis.
Given that, ΔABC maps to triangle ΔA'B'C'.
What is the reflection on y-axis?When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y).
The coordinate points of ΔABC are A(-4, 3), B(-3, -3) and C(1, 2) and the coordinate points of ΔA'B'C' are A'(4, 3), B'(3, -3) and C'(-1, 2).
Here, A(-4, 3) → A'(4, 3), x-coordinate is negated and y-coordinate remains same.
Similarly, B(-3, -3) → B'(3, -3) and C(1, 2) → C'(-1, 2) follows the same pattern.
From this, it is clear that the coordinates of triangle ABC is reflected on y-axis.
Therefore, the rule of (x, y) → (-x, y), which is reflection over y-axis.
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A theater sells adult tickets and student tickets. A total of 165 tickets are sold and the ratio of adult tickets sold to student tickets sold is 8 to 7. How many of each type of ticket are sold?
Answer:
88 adult tickets and 77 student tickets were sold.
Step-by-step explanation:
Let the number of adult tickets sold be 8x and the number of student tickets sold be 7x.
adult tickets + student tickets = 165 tickets
8x + 7x = 165
15x = 165
x = 165 ÷ 15
= 11
No. of adult tickets sold (8x) = 11 × 8
= 88
No. of student tickets sold (7x) = 11 × 7
= 77
88 adult tickets were sold and 77 student tickets were sold.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given,
A theater sells adult tickets and student tickets.
Let us consider number of adult tickets sold be 8x and the number of student tickets sold be 7x.
8x + 7x = 165
15x = 165
Divide both sides by 15
x = 165/15
= 11
No. of adult tickets sold (8x) = 11 × 8= 88
No. of student tickets sold (7x) = 11 × 7= 77
Hence, 88 adult tickets were sold and 77 student tickets were sold.
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Sixty men can build a wall in 40days but though they begin the work together, 55 men quit every ten days. The Time needed to build the wall is?
It would take 370 days to build the wall with the given conditions.
If 60 men can build a wall in 40 days, then the total man-days required to build the wall is:
60 men x 40 days = 2400 man-days
However, 55 men quit every ten days, which means that after 10 days, there are only 60 - 55 = 5 men left to work on the wall. After 20 days, there are only 5 - 55 = -50 men left, which means that the remaining 5 men cannot work any faster than they were already working. Therefore, we can assume that the remaining 5 men complete the wall on their own.
The number of man-days required for the first 10 days is:
60 men x 10 days = 600 man-days
The number of man-days required for the second 10 days is:
5 men x 10 days = 50 man-days
The total number of man-days required for the first 20 days is:
600 man-days + 50 man-days = 650 man-days
The remaining work can be completed by the 5 men in:
2400 man-days - 650 man-days = 1750 man-days
Therefore, the total time needed to build the wall is:
20 days + 1750 man-days / 5 men = 20 + 350 days = 370 days
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What is the area of this trapezoid?
Enter your answer in the box
___ units2
Answer:
80
Step-by-step explanation:
8×7=56
8×3=24
56+24=80
Which is longer 5 meters or 400 millimeters?
a. 400 millimeters
b. 5 meters
c. both a and b are correct.
d. both a and b are incorrect
Answer:
b. 5 meters
Step-by-step explanation:
1 meter = 1000 millimeters
5 meter = 5000 millimeters
Which is longer 5 meters or 400 millimeters?
5000 > 400
So, the answer is b. 5 meters.
A triangle, RST, has coordinates R (2,1), S (2,7), and T (5,1). What is the length of the shortest side of triangle RST?
Answer: B
Step-by-step explanation:
Find the value of x, 6,4, 3x, 4x+1
Answer:
If two chords intersect in a circle, then the product of the segments of one chord equals the product of the segments of the other chord.
6(3x) = 4(4x + 1)
18x = 16x + 4
2x = 4
x = 2
Writing
Tammy bought some books. She spent a total of $45 after a discount of S6 off of her total purchase. Each book cost $3. How many books did she buy?
(a) Write an equation that could be used to answer the question above.
First, choose the appropriate form. Then, fill in the blanks with the
numbers 45, 6, and 3. Let b represent the number of books.
X
5
o 16+ = 0
(b) Solve the equation in part (a) to find the number of books.
b = 0
Answer:
b=17
Step-by-step explanation:
b=(45+6)/3
b=51/3
b=17
she bought 17 books since the original price of evereything was 51 dollars before the discount of 6 dollars.
Is this a positive trend or negative trend or no trend please help
Answer:
negative trend because the values are decreasing
What is 730 divided by 30
Answer:
24 1/3
Step-by-step explanation:
long division
Based on the information in the two-way table, what is the probability that a person
selected at random both bikes and runs?
Round your answer to the nearest tenth of a percent.
Answer:
Step-by-step explanation:
a meeting started at 10:35am and ended at 3:15pm. how long was the meeting
Answer:
4H40mn
Step-by-step explanation:
because their start
what is the solution to the equation below? sqrt 2-3x / sqrt 4x =2
The solution to the equation sqrt 2-3x / sqrt 4x = 2 is x = -2/3.
To solve the equation, we must first clear the denominators and simplify the equation. We can do this by multiplying both sides by sqrt(4x) and then squaring both sides. This gives us:
sqrt 2-3x = 4sqrt x
2 - 6x + 9x² = 16x
9x² - 22x + 2 = 0
Using the quadratic formula, we can find that x = (-b ± sqrt(b² - 4ac)) / 2a. Plugging in a = 9, b = -22, and c = 2, we get:
x = (-(-22) ± sqrt((-22)² - 4(9)(2))) / 2(9)
x = (22 ± sqrt(352)) / 18
x = (22 ± 4sqrt22) / 18
Simplifying this expression, we get:
x = (11 ± 2sqrt22) / 9
Therefore, the solution to the equation is x = -2/3.
To solve the equation sqrt 2-3x / sqrt 4x = 2, we must clear the denominators and simplify the equation. This involves multiplying both sides by sqrt(4x) and then squaring both sides.
After simplifying, we end up with a quadratic equation. Using the quadratic formula, we can find that the solutions are x = (11 ± 2sqrt22) / 9.
However, we must check that these solutions do not result in a division by zero, as the original equation involves square roots. It turns out that the only valid solution is x = -2/3.
Therefore, this is the solution to the equation.
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The following data are an example of what type of regression?
13.000
12.000
11,000
10,000-
9.000-
8.000-
7,000
6,000
5.000
4,000
3.000
2.000-
1,000
H
3-2-1
1234567
Model
Linear
Quadratic
Exponential
O A. Exponential
OB. Quadratic
O C. Linear
1²
0.808
0.997
0.813
D. None of the above
The data given is an example of a B. Quadratic regression.
How to determine the data ?The r-squared ( r ²) value is a statistical measure that represents the proportion of the variance for a dependent variable that's explained by an independent variable or variables in a regression model.
The r² values are highest for the quadratic model (r ² = 0. 997), meaning this model explains the most variance in your data compared to the linear (r² = 0. 808) and exponential models (r ² = 0. 813). Thus, the data are best modeled with a quadratic regression.
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