Answer:
hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh
Step-by-step explanation:
What kind of triangle has 25 90 65?
25-90-65 is a right-angle triangle because one of the angles is 90°.
A right-angle triangle or orthogonal triangle is a triangle in which one angle is a right angle (that is, a 90-degree angle), and two sides are perpendicular. The relationship between the sides and angles of the right triangle is the basis for trigonometry.
The hypotenuse is the facing side to the right angle. Legs are the adjoining sides to the right angle.
Properties of right angle triangle:
The right angle is the largest angle in a right-angle triangle.The hypotenuse, the opposite of the right angle, is the longest side.There are no obtuse angles in a right-angle triangle.Read more about right-angle triangles:
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A club consisting of 11 men and 12 women needs to choose a committee from among its members so that the number of women on the committee is one more than the number of men on the committee. The committee could have from 1 to 23 members. How many committees can be formed
The total number of such committees that may be created, divided by the prime numbers that divide N, is 81.
What is the prime numbers that divide N?In the scenario presented in this question, a club with 11 men and 12 women must elect a committee from among its members in order for there to be one more woman on the committee than males.
The committee might consist of only 1 person or up to 23 people.
Let N represent the maximum possible number of such committees.
The total number of prime numbers that divide N must be determined.
The number of ladies chosen will be m.
The number of guys who were not chosen would thus be:
11 - (m - 1) = 12 - m
Each pairing of men who were not chosen and women who were chosen represents a committee choice.
Since selecting 12 people from a total of 23 would result in m women and 12 - m males, the committee chose:
making use of a combination formula
N = 23C12
N = 23!/12!(23 - 12)!
N = 1352078
These are the main components of 1352078: 2, 7, 13, 17, 19, and 23.
Consequently, the prime number total would be,
2 + 7 + 13 + 17 + 19 + 23 = 81
The total of the prime numbers is thus 81.
The complete question is:
A club consisting of 11 men and 12 women needs to choose a committee from among its members so that the number of women on the committee is one more than the number of men on the committee. The committee could have as few as 1 member or as many as 23 members. Let N be the number of such committees that can be formed. Find the sum of the prime numbers that divide N.
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(iii) (6-5xy) (6 + 5xy)
Hello there!
Answer:
[tex]36 - 25x^{2}y^{2}[/tex]
Step-by-step explanation:
We can use the special formula:
[tex](a - b)(a + b) = a^{2} - b^{2}[/tex]
If a = 6 and b = 5xy then:
[tex](6 - 5xy)(6 + 5xy) = 6^{2} - (5xy)^{2} = 36 - 25x^{2}y^{2}[/tex]
This is the final answer
But if we don't know this formula, we can solve it other way:
[tex](6 - 5xy)(6 + 5xy) = 6^{2} + 5xy * 6 - 5xy * 6 - (5xy)^{2} = \\\\= 6^{2} - (5xy)^{2} = 36 - 25x^{2}y^{2}[/tex]
f(x) and g(x) below, find the value of (fog)(-8).
f(x) = 3x²-3x - 8
g(x) = -x - 7
Therefore , the solution of the given problem of function comes out to be fog(-8)= 622.
Function: A DefinitionA function is a relationship between a collection of sources or one product for each input. Simply described, a function is a group of equations linked to a single, distinct output. A declaration, rule, or law that specifies the relationship between two variables is known as a function in mathematics (the dependent variable). When a rules of this kind is employed, there is just one output. by photographer Alex Federspiel. This sentence provides a y=x2 example. Any input for x has only one output for y. Since x is indeed the input value, y is, by definition, a function of x.
Here,
Given :
f(x) = 3x²-3x - 8
g(x) = -x - 7
To find : fog)(-8)= ?
Thus,
We find
=> F(g(x)) => 3g(x)² -3g(x) - 8
=> f(-x-7) =3⋅(-x-7)²-3⋅(-x-7)-8
At x =-8
=> 3(-8-7)² - 3(-8-7)-8
=> 3(225)-3(15) -8
=> 675 - 45 -8
=> 622
Therefore , the solution of the given problem of function comes out to be fog(-8)= 622.
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What is the difference of the two polynomials 9x 2 8x 2x 2 3x?
The difference between the two polynomials (9x²+8x)-(2x²+3x) is 7x²+5x.
What is polynomial?A polynomial is a mathematical statement made up of indeterminates and coefficients that solely includes the operations of addition, subtraction, multiplication, and positive-integer powers of variables. x2 4x + 7 is an example of a polynomial with a single indeterminate x. A polynomial is an expression in mathematics that consists of variables (also known as indeterminates) and coefficients and includes only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.
Here,
The difference between the two polynomials (9x²+8x)-(2x²+3x) is 7x²+5x.
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How many 1/3 cubes does it take to fill a box with a width of 2 2/3 inches length 3 1/3 inches and height 2 1/3
It takes 560 of 1/3 inch cubes to fill a box with width 2 2/3 inches, length 3 1/3 inches, and height 2 1/3 inches.
In Math's or in Geometry, a Cube is a solid three-dimensional figure, which has 6 square faces, 8 vertices and 12 edges.
It is also said to be a regular hexahedron.
We will convert the dimensions of the given box into simple fractions for easy calculations.
The dimensions of the given box:
Length = 3 + 1/3 inches = 10/3 inches
Breadth = 2 + 2/3 inches = 8/3 inches
Height = 2 + 1/3 inches = 7/3 inches
The side of each cube = 1/3 inches
Therefore,
The no. of cubes required to fill the box is,
= (volume of the box) / (volume of each 1/3 inch cube)
= ( 10/3 * 8/3 * 7/3 ) / (1/3)^2
= 10 * 8 * 7
= 560
Thus, it takes 560 of 1/3 inch cubes to fill a box with width 2 2/3 inches, length 3 1/3 inches, and height 2 1/3 inches.
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Write an equation using the explicit formula to represent each graph or scenario then rewrite the formula in function form
On solving the provided question, we can say that - here in graph Between the lowest number, which is 0, and the highest value, which is 5, there is a range. The range is therefore -9=y=5.
What is graphs?Graphs are visual representations or charts used in mathematics to methodically express data or values. A relationship between two or more objects is frequently represented by a point on a graph. A non-linear data structure called a graph is made up of nodes, or vertices, and edges. Connect the nodes, also known as vertices. This graph comprises a set of vertices V= 1, 2, 3, 5, and a set of edges E= 1, 2, 1, 3, 2, 4, and (2.5), (3.5), (4.5). Statistics graphs (bar charts, pie charts, line charts, etc.) Exponential diagrams. triangle graph, a logarithmic graph
There is a range between the minimum value, which is 0, and the greatest value, which is 5. Thus, the range is -9=y=5.
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Using data from 1944 through 2000, the histogram shows the number of years that had a particular number of hurricanes reaching the East Coast of the U.S. For example, in 14 of those years there was exactly one hurricane each year that reached the East Coast of the U.S. What is the median number of hurricanes per year reaching the East Coast from 1944 through 2000
The median number of hurricanes per year reaching the East Coast from 1944 through 2000 is two.
What is median number?Median number is the middle value of a set of numbers. It is the number found at the midpoint of a sorted data set, when all the numbers are arranged in numerical order from lowest to highest. The median number is used to determine the average of a set of numbers, and is often used to represent the central tendency of the data. To calculate the median, first arrange the numbers from lowest to highest, then locate the middle value. If there is an even number of values, the median is the average of the two middle numbers.
This is calculated by taking the middle value of the data set. In this case, there were 18 years with one hurricane, 16 years with two hurricanes, 13 years with three hurricanes, and six years with four hurricanes. Thus, the median number of hurricanes in this data set is two.
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If x = 6 and y = − 2 , evaluate the following expression: 2 x y
Answer:
-24
Step-by-step explanation:
2(6)(-2)
simplify (2√2+3√5) square 2
Answer:
The answer is 22.4
Is 9 a positive number?
Yes, 9 is a positive number because 9 is a natural number and also we use 9 in our daily life counting problems also.
Let's first attempt to understand what numbers are.
A number is an arithmetic value that is computed and used to represent a quantity. Numbers are represented in writing by symbols like "3," which are numerical symbols. A number system is a methodical way of employing digits or other symbols to represent numbers. The numerical system is a useful set of numbers that reflects the mathematical and algebraic structure of the number. provides a typical illustration.
Positive numbers Any number that represents something other than zero is considered to be positive. When referring to the amount of money in your bank account, a positive figure would undoubtedly make you feel good as well.
So 9 is a positive number.
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What is the value of x if the points A 4 3 and B x 5 are on the circle with Centre O 2 3?
The value of x with points A ( 4, 3 ) and B ( x ,5 ) on the circle and O(2,3) as centre is equal to 2.
As given in the question,
Points A(4,3 ) and B ( x, 5 ) are on the circle.
Centre of the circle is represented by O( 2,3)
OA and OB represents the radius of the circle.
This implies
OA = OB
Using distance formula we get,
√ ( 2 - 4 )² + ( 3 - 3 )² = √ ( 2 - x )² + ( 3 - 5 )²
⇒ √ 4 + 0 = √ 4 - 4x + x² + 4
⇒4 = 4 - 4x + x² + 4
⇒4 - 4x + x² = 0
⇒ ( x - 2 )² = 0
⇒ x - 2 = 0
⇒ x = 2
Therefore, the value of x for the given point of the circle is equal to 2.
The above question is incomplete , the complete question is :
What is the value of x , if the points A(4, 3) & B(x, 5) are on the circles with Centre O(2, 3), find the value of x.
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Give three solutions of the inequality
6 - 11x < 61
Answer:
x > -5
( -5, ∞)
Step-by-step explanation:
6 - 11x < 61
Subtract 6 from both sides
-11x < 55
Divided both side by -11. When divided by a negative number the < switch to >
So, the answer is
x > -5
Or
(-5, ∞)
What is the factor of the dilation?
The scale factor of dilation explains how the size of the figure has changed. An expansion has a scale factor of x > 1 (greater than 1).
A reduction is a scale factor that is 0 <1 (higher than 0 but less than 1).
Resizing an item uses a transition called dilation. Dilation is used to enlarge or contract the items. The result of this transformation is a picture with the same shape as the original. However, there is a variation in the shape's size.
A dilatation that results in a reduction (imagine shrinking) or an expansion (think stretching) produces a smaller or bigger picture, respectively.
The picture is reduced if the scale factor is between 0 and 1.
The picture is an enlargement if the scale factor is larger than 1.
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find the values of x, z and y
The values of x is 82° , z is 98°and y is 69°. in the given triangle.
Is the sum of all triangle angles always 180 degrees?Because one outside angle of a triangle is equal to the total of the other two angles in the triangle, the angles of a triangle add up to 180 degrees. In other words, the third angle must join with the other two angles in the triangle to generate a 180-degree angle (the two angles that add up to form the outside angle).
we know that the sum of angle of triangle = 180
so,
x+ 60 +38=180
x=180-8
x=82°
and also
x+z = 180
z= 98°
for value of y
13 + 98 +y = 180
y= 69°
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upper and lower bounds question
The upper bound and lower bound of a using the equation will result to
upper bound value 136015.499
lower bound value 136014.500
How to find the upper bound and lower bound valuesEvaluating the given expression a = b + 2c
where
b = 15 to 2 significant figures
c = 68 000 to 2 significant figures
solving for a
a = b + 2c
a = 15 + 2(68000)
a = 136015
The bound values
upper bond value is the largest possible vale of a
upper bond value = 136015.499
lower bound value is the lowest possible value of a
lower bound value = 136014.500
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On a coordinate plane, a line goes through (negative 12, negative 2) and (0, negative 4). A point is at (0, 6).Which point is on the line that passes through (0, 6) and is parallel to the given line? (–12, 8) (–6, 6) (2, 8) (6, 0)
Point (-12 , 8) is on the line that passes through (0, 6) and is parallel to the given line.
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Since, We know that;
Parallel lines have same slopes and different y-intercepts
The formula of the slope of a line which passes through points (x₁ , y₁) and (x₂, y₂) is,
⇒ m = (y₂ - y₁) / (x₂ - x₁)
Since, The given line passes through points (-12 , -2) and (0 , -4)
Hence, Use the formula of the slope above to find the slope of the given line as;
⇒ m = (y₂ - y₁) / (x₂ - x₁)
⇒ m = (-4 - (-2)) / (0 - (-12))
⇒ m = (-2) / 12
⇒ m = - 1/6
Since, The two lines are parallel.
Hence, Their slopes are equal
So, The slope of the parallel line = - 1/6
Here, The parallel line passes through point (0 , 6)
Since, The form of the linear equation is y = mx + b, where m is the slope and b is the y-intercept.
⇒ m = -1/6 and b = 6
Hence, The equation of the parallel line is,
⇒ y = x + 6
Now, Let us check which point is on the line by substitute the x in the equation by the x-coordinate of each point to find y, if y is equal the y-coordinate of the point, then the point is on the line as;
Point (-12 , 8)
Substitute x = -12 and y = 8
⇒ y = (-12) + 6
⇒ y = 2 + 6 = 8
Clearly, The value of y is equal the y-coordinate of the point.
So, Point (-12 , 8) is on the line.
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What would be the explicit equation for the sequence 3, 9, 27, 81 
Answer:
times it by
Step-by-step explanation:
3×3=9, 9×3=27, 27×3=81, 81×3=243
sorry if this isn't the answer your looking for.
can someone tell me what the answer is to this math problem
(-5 3) and (-1 0)
i thinj the answer is 2-1
If P is the midpoint of ST, SP = x + 4, and ST = 4x, determine the length of ST.
The length of ST is 16 units.
What is Line segment?A line segment is a part of line having two endpoints and it is bounded by two distinct end points and contain every point on the line that is between its endpoint.
We have to given that;
Point P is the midpoint of ST.
SP = x + 4, and ST = 4x
Since, P is the midpoint of ST.
Hence, We get;
⇒ SP = PT
And, ST = 2 SP
Substitute all values we get;
⇒ 4x = 2 (x + 4)
⇒ 4x = 2x + 8
⇒ 4x - 2x = 8
⇒ 2x = 8
⇒ x = 4
Thus, The value of ST = 4x
= 4×4
= 16
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Please help
Dean collected data on the favorite sports of the students of two grades. The table shows the relative frequencies of rows for the data collected:
Favorite Sport
Swimming Running Volleyball Row totals
Grade 8 0.17 0.24 0.05 0.46
Grade 9 0.14 0.18 0.22 0.54
Column totals 0.31 0.42 0.27 1
Based on the data, which statement is most likely correct?
In Grade 8, 17 students liked swimming.
In Grade 9, 27% of students liked volleyball.
In Grade 9, 14 students liked running.
In Grade 9, 18% of students liked running.
Based on the data, the statement that is most likely correct is D. In Grade 9, 18% of students liked running.
How to illustrate the information?The ratio (fraction or proportion) of the number of times a data value appears in the set of all outcomes to the total number of outcomes is known as the relative frequency.
From the information, the Dean collected data on the favorite sports of the students of two grades.
Here, the table shows the relative frequencies of rows for the data collected:
Swimming Running Volleyball Row totals
Grade 8 0.17 0.24 0.05 0.46
Grade 9 0.14 0.18 0.22 0.54
Column totals 0.31 0.42 0.27 1
In the table, Grade 9, 18% of students liked running. This is Illustrated above. The correct option is D.
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Given the answer for part D, write an expression that will tell you the direction the robot is going if, in the course of its journey, it turns left 21 times and turns right 22 times. Does the order the robot makes the turns in matter for the purpose of knowing the direction it is finally facing?
The answer to part D is in the picture...
The robot is moving in the direction indicated by the formula ((i)²¹*(-i)²²)d, or in the beginning direction.
What is complex plain?
When a line is rotated in the complex plane either clockwise or anticlockwise, it is multiplied by -i or I depending on which direction the line is rotated. The direction vector is rotated 90 degrees in the clockwise direction to make a right turn. It is the same as increasing the complex number by -i.
A left turn is represented as a 90° anticlockwise rotation of the direction vector. It is comparable to increasing the complex number by i.
There are 21 left turns of the robot. The direction vector will now be di21. Once it has been rotated 22 times to the right, the direction vector will now be (di²¹)*(-i)²²=d((i)²¹*(-i)²²).
Consequently, the robot's current direction is:
d((i)²¹*(-i)²²)= di²¹⁺²²=di⁴³= d(-i)= -di
No matter what, the direction will always be the same, hence the sequence is irrelevant.
Hence, the equation that will indicate where the robot is moving is ((i)²¹*(-i)²²)d, or in the starting direction. Furthermore, the final direction it faces does not depend on the order.
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Zoey took a taxi from her house to the airport. The taxi company charged a pick-up
fee of $1. 20 plus $3. 25 per mile. The total fare was $40. 20, not including the tip.
Write and solve an equation which can be used to determine , the number of miles
in the taxi ride.
Equation:
I
Answer: I =
Submit Answer
The equation and the answer of this question is 1.20 + 3.25x = 40.20, x = 12
According to the information that has been provided to us, the cost that the taxi company charged was $1.20, in addition to $3.25 per mile, for a total fare of $40.20.
Therefore, the equation would be:
1.20 + 3.25X = 40.20
To find the distance from Zoey’s house to the airport we need to calculate the value of X
1.20 + 3.25X = 40.20
3.25X = 39
X = 39 : 3.25
X = 12 miles
As a result, the distance from the house to the airport would be around 12 miles.
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Water in a swimming pool is treated with two chemicals mixed in the ratio of 5: 4. The total volume of the chemicals is 48 litres. How much of each chemical is used?
The brain volumes ?( cm cubed cm3?) of 20 brains have a mean of 1083. 9 1083. 9 cm cubed cm3 and a standard deviation of 122. 2 122. 2 cm cubed cm3. Use the given standard deviation and the range rule of thumb to identify the limits separating values that are significantly low or significantly high. For such? data, would a brain volume of 1348. 3 1348. 3 cm cubed cm3 be significantly? high?
Therefore , the solution of standard deviation is because the value of 1452.2 cm3 does not fall between the range of 917.4 cm3 and 1422.2 cm3.
what is the standard deviation?Standard deviation, often known as variance in a set of data, is a statistical measure of variation. A low standard deviation indicates that the values are more likely to be near the mean of the collection, whereas a high standard deviation indicates that the values are widely distributed. How far the data depart from the mean is expressed by the standard deviation, abbreviated as.
Here,
Considering the details here,
The average brain volume is 1169.8 cm3, while the standard deviation is 126.2 cm3.
The much lower results are u-2 = 11169.8-2(126.2) => 917.4.
Reason: According to the range rule of thumb, the required incredibly low values are 91.7 cm3 or less.
Hint: Use the algorithm to identify values that are at least considerably high.
Step: 2
Considering the data supplied,
The average brain volume is 1169.8 cm3, while the standard deviation is 126.2 cm3.
Significantly higher values include,
u-2α = 11169.8+ 2(126.2)
=> 1422.2
Justification: According to the range rule of thumb, the necessary significantly high values must be 1422.2 cm3 or higher.
Hint: To determine whether the value 1452.2 cm3 is very high, use the findings of steps (1) and (2).
Step: 3
Using step 1 and step (4),
917.4 is among the significantly low numbers or less.
The significantly high values are 1422.2 or higher.
Yes, 1452.2 cm3 is a noticeably high value.
The apt response is choice (B).
Reason: The value is much higher than expected based on the range rule of thumb because the value of 1452.2 cm3 does not fall between the range of 917.4 cm3 and 1422.2 cm3.
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The equation of line p is y= 1 4 x–8. Line q, which is parallel to line p, includes the point (6, – 3). What is the equation of line q?
Answer:
The equation of line q in slope-intercept form is
y= 1/4 x– 9/2
.
Step-by-step explanation:
Calculate the size of the angle marked 'x' in the pentagon shown below. Give your answer in degrees (°).
Answer: x= 96 degrees
Step-by-step explanation:
It we figure out the rest of the angles they would be (the outside ans inside angles are straight angles):
123+153+49+119= 444
Since the total of angles in a pentagon = 540 degrees
540-444 96 degrees
The measure of an angle x will be equal to 96°.
What is the Pentagon?A Pentagon is a two-dimensional geometric shape that consists of five straight sides and five angles. It is a type of polygon, which is a closed shape with three or more sides.
The Pentagon is often used to represent the shape of buildings, monuments, and symbols in architecture and design.
If we figure out the rest of the angles they would be (the outside and inside angles are straight angles):
123+153+49+119= 444
Since the total of angles in a pentagon = 540 degrees
540-444= 96°
Therefore, the measure of an angle x will be equal to 96°.
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According to the 2000 U.S. Census, 7 out of every 25 homes are heated by electricity. At this rate, predict how many homes in a community of 12,000 would be heated by electricity.a.6,725 homesb.3,100 homesc.3,360 homesd.4,020 homes
In 7/25 households, electricity is used for heating. By multiplying by 20,000. You'll receive 3,360. In light of this, the 2000 census indicates that 3,360 out of 12,000 houses use electricity for heating.
How many homes use electricity for heating in U.S. Census?Because we've already done it 7 out of every 25 residences are heated by electricity, according to the 2000 U.S. census.At this rate, we must determine how many residences in a 12000-person neighbourhood would be heated by electricity.Let x be the number of homes in a neighbourhood that would be heated by electricity.There being a direct variation
The result is that , A neighbourhood of 12000 people with 3360 dwellings that use electricity for heating. In 7/25 households, electricity is used for heating. By multiplying by 20,000. You'll receive 3,360. According to the 2000 Census, 3,360 dwellings out of 12,000 are heated by electricity.
[tex]$\frac{7}{25}=\frac{x}{12000}$[/tex]
[tex]$x={7 \times 12000}/{25}$$x=3360$[/tex]
As a result, 3360 households out of the 12000 in the community use electricity for heating.
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hi everyone help my math pls
show ur solutions
On solving the provided question, we can say that - the area of the provided circle is A = [tex]113.04 cm^2[/tex]
What is circle?Every point in the plane that is a certain distance away from a certain point forms a circle (center). It is, thus, a curve formed by points moving in the plane at a fixed distance from a point. At every angle, it is also rotationally symmetric about the center. A circle is a closed two-dimensional object where every pair of points in the plane are equally spaced out from the "center." A line that goes through the circle creates a specular symmetry line. At every angle, it is also rotationally symmetric about the center.
here,
radius, r = 6 cm
Area of circle = [tex]\pi X r^2 = 3.14 X 6 X 6 \\[/tex]
A = [tex]113.04 cm^2[/tex]
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REALY HELP ME PLEASE!!!!!!
The equation of line in slope intercept form is,
⇒ y = x - 2
When the graph is shift down 9 units.
Then, Equation of line become,
⇒ y = x - 11
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
Two points on the line are (2, 0) and (0, -2).
Now,
Since, The equation of line passes through the points (2, 0) and (0, -2).
So, We need to find the slope of the line.
Hence, Slope of the line is,
m = (y₂ - y₁) / (x₂ - x₁)
m = (- 2 - 0) / (0 - 2)
m = - 2 / -2
m = 1
Thus, The equation of line with slope 1 is,
⇒ y - 0 = 1 (x - 2)
⇒ y = x - 2
And, When the graph is shift down 9 units.
Then, Equation of line become,
⇒ y = x - 2 - 9
⇒ y = x - 11
Therefore, The equation of line in slope intercept form is,
⇒ y = x - 2
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