The output of the given values that is -3,-2,-1,0,1,2,3 are 1,0,1,0,1,0,1 respectively.
What is Even and Odd numbers ?
Even numbers are if the numbers divisible by 2 and if it is not divisible by 2 than it is odd number.
Given ,
Here is an input-output rule write 1 if the input is odd write 0 if the input is even .
So, here we have to write outputs according to the given inputs.
And here inputs are -3,-2,-1,0,1,2,3
As -3 is odd, so the output could be 1
As -2 is odd, so the output could be 0
As -1 is odd, so the output could be 1
As 0 is odd, so the output could be 0
As 1 is odd, so the output could be 1
As 2 is odd, so the output could be 0
As 3 is odd, so the output could be 1
Hence, The output of the given values that is -3,-2,-1,0,1,2,3 are 1,0,1,0,1,0,1 respectively.
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Multiply to find equivalent fractions
1/4 X / = /100
Answer:
25
Step-by-step explanation:
I hope I'm correct have a good day :)
Answer: X = 400
Step-by-step explanation: Combine multiplied terms into a single fraction
one-fourth x equals 100
1 x over 4 end fraction equals 100
2
Multiply by 1
1 x over 4 end fraction equals 100
x over 4 end fraction equals 100
3
Multiply all terms by the same value to eliminate fraction denominators
x over 4 end fraction equals 100
4 ⋅ x over 4 end fraction equals 4 ⋅ 100
4
Cancel multiplied terms that are in the denominator
4 ⋅ x over 4 end fraction equals 4 ⋅ 100
x equals 4 ⋅ 100
5
Multiply the numbers
x equals 4 ⋅ 100
Which phrase best describes f(x), graphed on the coordinate plane below?
On a coordinate plane, a curve goes through two cycles. The first part of the curve approaches x = negative 6, has a maximum at (negative 4, 3), and has a minimum at (negative 2, negative 2). The second part of the curve has a maximum at (1.5, 2.5), has a minimum at (4, negative 3), and approaches x = 6.
f(x) is an odd function. Therefore, option A is the correct answer.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
The first part of the curve approaches x= -6, has a maximum at (-4, 3), and has a minimum at (-2, -2). The second part of the curve has a maximum at (1.5, 2.5), has a minimum at (4, -3), and approaches x=6.
The graph of an odd function consists of symmetry that is rotational with respect to the origin that means that the graph remains unchanged post the 180-degree rotation about the origin.
Therefore, option A is the correct answer.
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a^4 + 1 + 1/a^4 ???????????????????????????
By solving the equation, a^4 + 1 + 1/a^4 this we get [tex]\frac{a^{8} + a^{4} + 1 }{a^{4} }[/tex]
How is the calculation found?Equations are considered to be equivalent when they have the same roots or solutions in an algebraic problem.
When the same number or expression is added to or removed from both sides of an equation, the equation is said to be similar.
A non-zero equation can be made equal by multiplying or dividing both sides by the same value.
What are the three guidelines for resolving equations?To solve linear equations, utilize the steps that are provided below. Remove parentheses from each side of the equation and combine similar phrases to make it simpler. To separate the variable term on one side of the equation, use addition or subtraction. To find the variable, use division or multiplication.
Given,
[tex]a^{4} + 1 + \frac{1}{a^{4} }[/tex]
Taking [tex]a^{4}[/tex] as LCM,
⇒ [tex]\frac{a^{8} + a^{4} + 1 }{a^{4} }[/tex]
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Solve the equation 25x^2 - 30x+9=0 by using the quadratic formula.
The quadratic formula is used to solve a quadratic equation of the form ax^2 + bx + c = 0, where a, b, and c are constants and x is the variable.
Given an equation 25x^2 - 30x + 9 = 0, we can solve it using the quadratic formula as follows:
The quadratic formula is : x = (-b ± √(b^2 - 4ac)) / 2a
The values of a,b,c are:
a = 25, b = -30, c = 9
Now, we can substitute the values in the quadratic formula:
x = (-(-30) ± √((-30)^2 - 4(25)(9)))/2(25)
x = (30 ± √(900 - 900)) / 50
x = (30 ± √(0)) / 50
x = (30 ± 0) / 50
x = 30/50
x = 3/5 or x = -3/5
So the solutions of the equation 25x^2 - 30x + 9 = 0 are 3/5 and -3/5.
find the value of each variable in the parallelogram.
Answer: A=7, B=42
Step-by-step explanation:
Finding a: 5a-9=3a+5 (Because opposite sides are equal)
2a = 14
a = 7
Finding b: 3b = b+84 (Because opposite angles in a parallelogram are equal)
2b = 84
b = 42
Latisha is compiling a program for a video game. For one part of the program they use the rule (x,y) → (x + 10,y-6) to move a character on the screen.
1. What output does the rule give when the input is (10,-5)? Show your work.
2.What output does the rule give when the input is (-4.8)? Show your work.
Answer:
slope = 2
Step-by-step explanation:
calculate the slope m using the slope formula
m = \frac{rise}{run}
run
rise
= \frac{y_{2}-y_{1} }{x_{2}-x_{1} }
x 2−x y2 −y
with (x₁, y₁ ) = (- 1, - 5) and (x₂, y₂ ) = (2, 1) ← 2 points on the line
m = \frac{1-(-5)}{2-(-1)}
2−(−1)
1−(−5)
= \frac{1+5}{2+1}
2+1
1+5
= \frac{6}{3}
3
6
= 2
what is 3 ( 5x + 1 ) equal to
Answer:
15x+3
Step-by-step explanation:
distributive property
3*5x= 15x 3*1= 3
Fine Ab
Find m
Please help this is due soon
Answer:
Step-by-step explanation:
Since triangle ABC is an equilateral triangle, all sides have the same length.
So BC = AB = CA
BC=AB, so AB=4
I don't know what you mean by Mf,
Angle F equals 40 degrees since DEF is an isosceles triangle.
Find the volume of the ice cream shown below. Use 3.14 for π Round all answers to 1 decimal place.
Volume of the top solid: _______
Volume of the bottom solid: _________
Volume of the entire toy: __________
The combined volume of the cone and hemisphere is 5.23in³
What is Volume of FigureTo calculate the volume of the figure, we have to calculate the volume of the hemisphere and volume of the cone.
The formula of volume of cone;
v = 1/3πr²h
v = 1/3 * π * 1² * 3
v = π
v = 3.14 in³
The formula of the volume of hemisphere is given as;
v = 2/3 πr³
v = 2/3 * π * 1³
v = 2/3π
v = 2.093 in³
The volume of figure = volume of hemisphere + volume of cone
The volume of figure = 3.14 + 2.093
the volume of figure = 5.23in³
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What’s the length of equal to 2x+15 determine the actual length
Brent has a piece of lumber 8 feet long that he needs to split into -foot pieces. How many -foot pieces will he be able to cut from 8 feet? Select the equation that correctly models the situation.
A.
B.
C.
D.
need help quick
Answer: he could have 8 pieces
Step-by-step explanation:
well you have 8 feet and if you need to get as many feet cut out well just do 8 divided by 1 and that is 8 and theres your qoutiont
The terminal ray of angle A passes through the point (- 6,4)
Enter your answer as an exact answer, in simplified form, in the box.
angle A is drawn in standard position.
What is the value of sec(A) ?
The value of sec(A) is 2/√(13) in simplified form, in the standard position.
What is the point of intersection?
When the lines intersect, the point of intersection is the only point that the two graphs have in common, so the coordinates of that point are the solution for the two variables used in the equations.
The terminal ray of an angle in standard position passes through the point (x,y) in the coordinate plane, where x and y are the coordinates of the point of intersection of the terminal ray with the x-axis and y-axis respectively.
Given that the terminal ray of angle A passes through the point (-6,4)
The coordinates of the point of intersection of the terminal ray with the x-axis are (-6,0) and y-axis are (0,4)
Using the distance formula
The distance from the origin to the point (-6,4) is √((-6-0)^2 + (4-0)^2) = √(6^2 + 4^2) = √(36 + 16) = √(52) = 2*√(13)
Now we can use these coordinates to find the value of sec(A) which is defined as sec(A) = 1/cos(A) = distance of point from x-axis/distance from origin.
sec(A) = 4/2*√(13) = 2/√(13)
hence, the value of sec(A) is 2/√(13) in simplified form, in the standard position.
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Patel is solving 8x2 + 16x + 3 = 0. Which steps could he use to solve the quadratic equation? Select three options. 8(x2 + 2x + 1) = –3 + 8 x = –1 Plus or minus StartRoot StartFraction 5 Over 8 EndFraction EndRoot x = –1 Plus or minus StartRoot StartFraction 4 Over 8 EndFraction EndRoot 8(x2 + 2x + 1) = 3 + 1 8(x2 + 2x) = –3
The correct roots [tex]8x^{2} + 16x + 3 =0[/tex] are -0.211 and -1.790
Step-by-step Solution:
Given: [tex]8x^{2} + 16x + 3 =0[/tex]
If the quadratic equation is in the form of [tex]ax^{2} +bx+c=0[/tex]
Then, the roots of a quadratic equation are given by the following formula:
[tex]\frac{-b \± \sqrt{b^{2} -4ac}}{2*a}[/tex]
where; a,b, and c are the coefficients of "[tex]x^{2}[/tex]"," [tex]x[/tex]" and "constant" terms respectively.
⇒[tex]8x^{2} + 16x + 3 =0[/tex]
⇒[tex]\frac{-16 \± \sqrt{(16)^{2} -4*8*3}}{2*8}[/tex]
⇒[tex]\frac{-16 \± \sqrt{256 -96}}{16}[/tex]
⇒[tex]\frac{-16 \± \sqrt{160}}{16}[/tex]
⇒[tex]\frac{-16 \± 12.649{}}{16}[/tex]
⇒[tex]\frac{-3.391}{16} \\ -0.211[/tex] and [tex]\frac{-28.649}{16} \\-1.790[/tex]
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Distance from television camera to base of stadium(pic included)
The line of sight distance from the television camera to the base of the stadium is approximately 1778 m
What are trigonometric identities?Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.
We are Given the following information;
Television camara at 13°
Altitude = 400
Since the formed angle is a 90° angle then we have;
90-13= 77
The trigonometric function that relates Hyp angle and Adj is Cos then
Cos ∅ = Adj /Hyp
where
angle = 77
adj=400
Hyp= The distance from camara to the stadium
then
Cos 77 = 400/Hyp
Hyp = 1778
Hence, the line of the sight is approximately 1778 m
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Find x and y……………………………………….
The value of x = 4 and y = 9 in the given parallel lines.
What is parallel lines?Parallel lines refer to lines that are always the same distance apart in a plane.Parallel lines never cross.Perpendicular lines are the lines that cuts each other at right angles (90 degrees).In geometry, parallel lines can be defined as two lines that lie in the same plane, are equidistant from each other, and never intersect.They can be horizontal or vertical.Parallel lines can be seen in our daily life, such as pedestrian crossings, rows of notebooks, and railway tracks.Parallel lines run in pairs next to each other.Had they continued, they would never have met.Parallel lines are always at the same distance.3x - 4 = 5/4x + 3; x = 4
2/3y + 3 = 1/3y + 6 = 9
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To create an entry code, you must first choose 3 letters and then, 3 single-digit numbers. How many different entry codes can you create?
The number of entry codes will be 720.
What are permutation and combination?The different ways in which items from a set may be chosen, usually without replacement, to construct subsets, are called permutations and combinations.
When the order of the selection is a consideration, this selection of subsets is referred to as a permutation; when it is not, it is referred to as a combination.
Given that you must first choose 3 letters and then, 3 single-digit numbers.
The number of arrangements will be calculated as,
Codes = 6!
Codes = ( 6 x 5 x 4 x 3 x 2 x 1 )
Codes = 720
Hence, the combination of the code will be 720.
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Amy counts butterflies for a science project.
She wants to know how many more butterflies she saw this month than in the past 4 months.
First she adds the number of butterflies she saw in the past 4 months.
She calls this number b. What should Amy do next?
subtract from what she sees in the past four months
What is the radiua of a globe that has a volume of 113.10in³
The radius of the globe with a volume of 113.10 in³ is calculated to be
1.5 in
What is a globe?A globe is a spherical representation of the Earth, another heavenly body, or the celestial sphere. Globes have comparable functions as maps.
The globe has same shape as the sphere and hence we can use the formula fo volume of sphere to solve for a globe
The volume of sphere is solved using the formula/
v = 4/3 π r³
where
r is the radius of the sphere or globe
113.10 in³ = 4/3 π r³
π r³ = 3/4 * 113.10
π r³ = 9.825
r³ = 9.825 / π
r³ = 3.12739
r = ∛3.12739
r = 1.462 in
the radius of the globe is 1.5
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a5=768 and a2=12; given two terms in a geometric sequence find the 8th term and the recursive formula. What is the answer?
Give that a5=768 and a2=12, given two terms in a geometric sequence find the 8th term and the recursive formula is ar⁷=6291456
What is geometric progression?A geometric progression is a type of sequence in which the terms are gotten by the multiplication of a constant term known as the constant ratio
The 5th term = ar⁴ = 768 ...............1
The 2nd term = ar² = 12 ....................2
Divide equation 1 by equation 2
= (ar⁴ = 768) ÷ (ar² = 12)
Eliminating a from both equations
r²= 64
taking the square root of both sides
r=√64
r=8
Put r= 8 in equation 2
a*r²=12
a*2² = 12
4a=12
Making a the subject of the relation
a= 3
The terms of the geometric progression are 3. 24, 192 ....
The 8th term of the sequence is
T8 = 3*8⁷
Therefore the eight term is = 6291459
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Two square boards are made of the same material and their diagonals measure 40 cm and 45 cm, respectively. If the smaller costs N1 920 to make, what should be the other cost?
2430 should be the other cost, if the smaller cost N1 920.
What are the different kinds of quadrilaterals?The answer of what square is equal to multiplied by
40×40×2`=800
45×45×2=1012.5
(1012.5÷800)×1920=2430
A quadrilateral is a polygon with the following characteristics.
Four vertices and four sides enclosing four angles
The total of a quadrilateral’s internal angles equals 360 degrees.
The sum of interior angles may alternatively be calculated using the polygon formula, which is (n -2) 180, where n is the number of sides of the polygon.
Parallelograms include the shapes square, rectangle, and rhombus.
A square is both a rectangle and a rhombus.
A rectangle or rhombus is not a square.
A trapezium is a parallelogram.
A trapezium is not the same as a parallelogram.
Kite does not form a parallelogram.
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I will give brainliest for answer
The value of the angle x in the parallel lines is 20.
How to find the angles in parallel lines?When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate interior angles, alternate exterior angles, linear angles, vertically opposite angles, same interior angles, same exterior angles etc.
Therefore, a and b are the parallel lines. The parallel lines are cut by a transversal.
Same-side exterior angles are supplementary.
Hence,
5x + 10 + 4x - 10 = 180
5x + 4x = 180
9x = 180
divide both sides by 9
x = 180 / 9
x = 20
Therefore,
x = 20
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Quinn is baking sweet potato pies. The table shows the ratio of cups of sugar to number of pies.
Number of Pies 3 5 9
Cups of Sugar 1 and one half 2 and one half 4 and one half
How many cups of sugar will Quinn need to make 16 pies? (359 is spaced because its part of the chart along with 1 1/2, 2 1/2,4 1/2
The number of cups of sugar will Quinn need to make 16 pies is 8 cups
How to solve ratio?Number of Pies 3 5 9
Cups of Sugar 1 1/2 2 1/2 4 1/2
Number of cups of sugar Quinn will need to make 16 pies = x
Number of pies : cups of sugar
3 : 1 ½ = 16 : x
3 ÷ 3/2 = 16/x
3 × 2/3 = 16/x
6/3 = 16/x
cross product
6 × x = 16 × 3
6x = 48
divide both sides by 6
x = 48/6
x = 8 cups of sugar
Therefore, Quinn will need 8 cups of sugar to make 16 pies
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NO LINKS!!! Explain your answer in each case using if-then statements.
Answer:
a) m∠? = 48°
If a transversal line intersects two parallel lines, then the resulting alternate interior angles are congruent.
b) m∠? = 71°
If a transversal line intersects two parallel lines, then the resulting corresponding angles are congruent.
c) m∠1 = 115°
If a transversal line intersects two parallel lines, then the resulting alternate exterior angles are congruent.
d) m∠2 = 62°
If a transversal line intersects two parallel lines, then the resulting same-side exterior angles are supplementary.
Step-by-step explanation:
Part aAlternate Interior Angles Theorem
If a transversal line intersects two parallel lines, then the angles that are interior to the parallel lines and on the opposite side of the transversal line are congruent.
If a transversal line intersects two parallel lines, then the resulting alternate interior angles are congruent.
[tex]\implies m\angle ?=48^{\circ}[/tex]
Part bCorresponding Angles Postulate
If a transversal line intersects two parallel lines, then the angles that are corresponding (in the matching corners) are supplementary.
If a transversal line intersects two parallel lines, then the resulting corresponding angles are congruent.
[tex]\implies m\angle ?=71^{\circ}[/tex]
Part cAlternate Exterior Angles Theorem
If a transversal line intersects two parallel lines, then the angles that are exterior to the parallel lines and on the opposite side of the transversal line are congruent.
If a transversal line intersects two parallel lines, then the resulting alternate exterior angles are congruent.
[tex]\implies m\angle 1=115^{\circ}[/tex]
Part dSame-side Interior Angles Theorem
If a transversal line intersects two parallel lines, then the angles that are interior to the parallel lines and on the same side of the transversal line are supplementary.
If a transversal line intersects two parallel lines, then the resulting same-side exterior angles are supplementary.
[tex]\implies m\angle 2+118^{\circ}=180^{\circ}[/tex]
[tex]\implies m\angle 2=62^{\circ}[/tex]
34 points for 3 questions!!!
Answer:
1) Linear, negative slope: -4/3 2) Slope: 3 3) Slope: -6, y-int: +2
Step-by-step explanation:
1. Slope = rise/run = [tex]\frac{3-(-1)}{-2-1} = -\frac{4}{3}[/tex]
2. Slope = rise/run (just pick 2) = [tex]\frac{1-(-2)}{1-0} = 3[/tex]
3. The breakdown is pretty simply just follow the slope formula y=mx + b thus m = slope = -6 and b= y-int = +2
Suppose that a teacher agrees to pay a student 9 for every problem in this chapeter that the student solves correctly
The teacher should pay the student 153.
What is pay?Pay is a form of compensation or remuneration given to an individual in exchange for goods or services. It is typically a monetary amount, but can also be in the form of goods, services, or other benefits. Pay is usually received on a regular basis, such as a salary, wages, or commission, but can also include one-time payments, such as bonuses or severance packages. Pay can also be determined by the amount of time spent working or the amount of work completed.
The student has solved 17 problems correctly, so the teacher should pay them 9 for each one. Therefore, the teacher should pay the student 9 x 17 = 153.
This arrangement is beneficial for both parties involved. The student gets paid for their work, and the teacher receives help with their workload. This type of arrangement is commonly used in educational settings, as it allows the teacher to evaluate the student's understanding of the material while simultaneously being compensated for the help they provide. It is also a great way to motivate the student, as they know they will be rewarded for their hard work.
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Complete questions as follows-
Suppose that a teacher agrees to pay a student 9 for every problem in this chapeter that the student solves correctly. If the student solves 17 problems, how much should the teacher pay the student?
can someone help me with number #5?
....................
Roger spent $71 on 2 baseball mitts and 5 baseballs. Bob spent $107 on 4 mitts and 3 baseballs. How much do baseballs and mitts cost?
A baseball glove or mitt is a large glove worn by baseball players of the defending team, which assists players in catching and fielding balls hit by a batter or thrown by a teammate.
What does mitt mean in baseball?Baseball was initially a glove-less sport. A player who played without gloves during the gradual switch to gloves was referred to as a "barehanded catcher"; this term did not refer to the position of catcher, but rather to the act of catching with bare hands.
The original glove was used mainly to smash a ball to the ground so it could be scooped up and was not webbed or particularly well adapted for catching. Due to a left hand injury, Doug Allison, a catcher for the Cincinnati Red Stockings, is one of the earliest players thought to have used a baseball glove.
Charlie Waitt, a first baseman and outfielder for St. Louis, donned the first known glove in 1875.
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Solve the problem of the question here 3(8+2)=
Answer:
30
Step-by-step explanation:
3(8+2) = 3(10)
= 30
Evaluate 8 + 2 first as it is surrounded by the brackets.
Remember the BODMAS rule, brackets comes before multiplication.
Answer: 30
Step-by-step explanation: You have to do Pemdas so start by adding 8+2 which equals 10. Multiply 10 x 3 which gives you your answer of 30.
8.
There are 2,916 books in the library. There are 243 students in the 8th grade. If all
the books are checked out, how many books will each 8th grade student get?
A.13
B12
C.11
D.14
Answer:
B. 12
Step-by-step explanation:
you’ll have to divide
2916/243 = 12
Answer: B. 12
Step-by-step explanation: 2,916 ÷ 243= 12
The points (5, 7) and (3, 3) fall on a particular line. What is its equation in slope-intercept form?
Answer:
y = 2x - 3
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (5, 7 ) and (x₂, y₂ ) = (3, 3 )
m = [tex]\frac{3-7}{3-5}[/tex] = [tex]\frac{-4}{-2}[/tex] = 2 , then
y = 2x + c ← is the partial equation
to find c substitute either of the 2 points into the partial equation
using (3, 3 ) , then
3 = 2(3) + c = 6 + c ( subtract 6 from both sides )
- 3 = c
y = 2x - 3 ← equation of line