Answer:
d
Step-by-step explanation:
What type of quadrilateral is ABCD? Move segments and words to the blanks to classify quadrilateral ABCD.
The slope of
6-4
The slope of
جانا جاتا
Ini
6-
The slope of
The slope of
The slopes indicate that
Therefore, quadrilateral ABCD is a
is
to
and that
is
to
AB
BC
CD
DA
congruent
parallel
perpendicular
parallelogram
rectangle
rhombus
square
The type of quadrilateral is ABCD is parallelogram.
There are some properties of parallelogram:
If Two pairs of opposite sides are parallel and equal in length.The two pairs of opposite angles are equal in measure and one pair of opposite sides is parallel and equal in length.The diagonals bisect each other, and the adjacent angles are supplementary.Each diagonal divides the quadrilateral into two congruent triangles, with the sum of the squares of the sides equals the sum of the squares of the diagonals.The coordinate of quadrilateral ABCD are A=(2,4) B=(5,6) C=(4,3) D=(1,1)
By using the coordinates we can find the slope:
slope=y2-y1/x2-x1
the slope of AB =6-4/5-2
AB=2/3
the slope of AD =1-4/1-2
AD=3/1
the slope of CD =1-3/1-4
CD=2/3
the slope of BC =3-5/3-6
BC=2/3
The slope indicates that the slope of AB is equal to BC and the slope of AD is equal to CD
Therefore, as per the properties, quadrilateral ABCD is Parallelogram
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Nurse and collects trading cards how many cars come in three packages show how to use an open number line solve this problem
An open number line can be used to find the amount of cards in three packages for a nurse who collects trading cards.
The relative sizes of numbers are displayed visually on an open number line, which also enables you to execute basic arithmetic operations like addition and subtraction. We can begin by marking the number 0 on the number line to use an open number line to tackle this issue. Then, we can mark the number 3 on the number line using the information from the problem (3 packages).
The total number of cards in the deck can then be determined by counting the units on the number line between 0 and 3. The total number of cards in three packages can then be determined by counting the units on the number line between 0 and 3. If each package has 10 cards, there will be a total of 30 cards in three packages, or 3 × 10 cards. So, after purchasing three packages, the nurse will have 30 trade cards. It's vital to keep in mind that the answer is predicated on the idea that each package contains 10 cards; if the box included a different number of cards, the solution would adjust.
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Sam recorded the effects of exercise on short-term memory. Which of these is a response variable ?
A. Exercise
B. Neither exercise nor short-term memory
C. Short term memory
D. Both exercise and short-term memory
Short term memory is a response variable as it is dependent. Hence Option C is the answer.
What is response variable?A dependent variable is the response variable. It is reliant on the independent variable, which serves as the explanatory variable.
What is the predicting factor?Explanations for the findings revealed by the response variables are provided by the explanatory or independent variables. Explanatory response is qualitative since it is classified based on a category.
The response variable is what the researcher often measures in research studies. The response variable in the example presented above is short-term memory, which is influenced by exercise.
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Use Pascal's Triangle to expand (5z + 5x²)³. Express your
answer in simplest form.
The simplest form is 15z+ 15x²
How to simplify the given expression ?In algebra, a triangle-shaped grouping of integers known as Pascal's triangle provides the coefficients for the expansion of any binomial formula, such as (x + y)n. Although it is much older, it bears the name of the French mathematician Blaise Pascal from the 17th century.
Because it has so many patterns that can be used to greatly simplify complex calculations, Pascal's triangle is significant.
Given,
(5z+5 x²)3
15z+15x² by simplifying,
3(5z+5 x²)
apply the distributive formula :a (b + c) =ab + ac
3(5z+5 x²) = 5x+3 * 5x²
By simplifying 3 5z+3 , 5x², 15z+15x²
we get
15z+ 15x²
Therefore the simplest form is 15z+ 15x² .
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A single pump can add only 0.35 pound of air into a bicycle tire. The bicycle tire will hold a maximum of 640 ounces of air per square inch. How many pumps are required to inflate the bicycle tire to maximum pressure?
A.15 pumps
B. 115 pumps
C. 225 pumps
D. 1,829 pumps
The bicycle tire needs an amount of 115 pumps to be fully inflated. (Correct choice: B)
How many pumps are required to inflate the bicycle tire to maximum pressure
In this problem we need to determine the number of pumps needed to inflate the bicycle tire at maximum pressure, this number (n) is equal to the maximum capacity of the tire (V), in ounces, and the mass added by a single pump (p), in ounces:
n = V / p
If we know that V = 640 oz and p = 5.6 oz (1 lb = 16 oz), then the number of pumps is:
n = 640 oz / 5.6 oz
n = 114.286
n = 115
An amount of 115 pumps are needed to inflate the bicycle tire to maximum pressure.
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I need help on that soooo
Answer:
3⅛ ÷ 1⅔ = 1.9083969465648855.
Step-by-step explanation:
To arrive at this answer, we can first convert 3⅛ and 1⅔ to fraction form.
3⅛ can be written as 3 + 1/8, which is equal to 3 + 1/8 = 25/8.
Similarly, 1⅔ can be written as 1 + 2/3, which is equal to 1 + 2/3 = 5/3.
Therefore, 3⅛ ÷ 1⅔ is equal to (25/8) ÷ (5/3) = (25/8) * (3/5) = (325)/(85) = 75/40 = 1 + 35/40 = 1 + 35/40 = 1.875.
This is the exact result, but if you want to round to the nearest hundredth, the result would be 1.91.
Imagine you have a wood block that is 4 cm wide, 4 cm long, and 8 cm high. It
weights 200 grams.
What is the volume of the block? Be sure to include the units.
Then, imagine that you are cutting the block into 2 exactly equal halves. What is the
volume of one of the pieces (including the units)? How does its volume compare to
that of the original block?
The way that the new volume compares to the original volume of the block is that the new volume is half of the original volume.
How to find the volume of the block?The volume of a rectangular block is gotten from the formula;
Volume = length * width * height
Now, we are given;
Width = 4 cm
Length = 4 cm
Height = 8 cm
Thus;
Volume of block = 4 * 4 * 8
= 128 cm³
Now, if you are cutting the block into 2 exactly equal halves, then you can say that;
New length = 4/2 = 2cm
Thus;
Volume of cut block = 2 * 4 * 8
= 64 cm²
This is concluded to be half of the original block.
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1)
2)
Which relation is not a function?
1
-A
30
2
B
3.
: mo
C
A
4
36
3
3)
4)
2-
x
relations
246
6:
8-
Co
8
-10
12
₹10
12
Answer:
2, cause it shows a different function or pattern
The ratio of the sides of a triangle is 3:5:6. If the perimeter of the triangle is 154 feet, what are the side lengths?
The side length of the triangle are
33 feet55 feet66 feetHow to find the side length of the triangleA triangle with given ratio of sides as 3 : 5 : 6 and a perimeter of 154 feet is calculated from the formula of perimeter which is
= a + b + c
where
a, b, and c are the dimensions of the side length of the triangle:
Using the values given in the problem we have
let the ratio be a multiple of x such that
154 = 3x + 5x + 6x
154 = 14x
x = 11
a = 3 * 11 = 33 feet
b = 5 * 11 = 55 feet
c = 6 * 11= 66 feet
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Andre saves up the same amount of money each week the table shows the amount he saves in different number of weeeks how much money does Andre save in 4p weeks
The amount of money saved by Andre in 40 weeks is $1280.
What is equation modelling?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis of the given problem.
Given is Andre saves up the same amount of money each week.
We can write the equation, equating the total amount of money saved and the number of weeks as follows. Assume the equation to be -
y = mx + c
Then -
m = (288 - 224)/(9 - 7)
m = 64/2
m = 32
Now -
y = 32x + c
For the point (7, 224), we can write -
224 = 32 x 7 + c
c = 0
For {x} = 48, we can write the amount of money saved as -
y = 32 x 40
y = 1280
Therefore, the amount of money saved by Andre in 40 weeks is $1280.
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Please help me really fast
Answer:
Step-by-step explanation:
(0,-7) is the correct one. How I got this answer is cheese.
round 3.967 to the hundredth place
Can you solve Pythagorean theorem with only C?
The Pythagorean theorem can be solved using a C programme, therefore yes. The Pythagorean theorem states that the hypotenuse's square length of a right triangle equals the sum of the squares of its other two sides. The slope is the side that faces the right angle.
Therefore, given the lengths of the two shorter sides (a and b), the length of the hypotenuse can be calculated using the formula: c = sqrt(a^2 + b^2).
Here is an example C program that calculates the length of the hypotenuse of a right triangle given the lengths of the other two sides:
#include <stdio.h>
#include <math.h>
Above command is for library
int main() {
double a, b, c;
Above command to initiate the variable.
printf("enter the first side's length.: ");
scanf("%lf", &a);
To enter the value in program
printf("enter the second side's length.: ");
scanf("%lf", &b);
Enter the value and print the value
c = sqrt(a*a + b*b);
Arithmetic command
print("The hypotenuse's length is: %lf\n", c); return 0;}
Print the value and return the program value to zero.
This program prompts the user to enter the lengths of the two shorter sides of the triangle, calculates the hypotenuse length using the Pythagorean theorem, and then prints the result.
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43 inches tall. Each book 1/2 - inch thick
Answer:
If you're asking how many books there are its 86.
Step-by-step explanation:
If each book is 1/2 thick that means there are 2 books per inch.
Because there are 43 inches you're going to multiply by 2.
43(2)= 86.
Hope that helped, have a good day!
Find m angle Bm∠Bm, angle, B.
Note that m angle Bm∠Bm, angle, B is acute. Round to the nearest degree
The measure of angle B where angle B is an acute angle by using the Law Of Sines is 61° .
What is an Acute Angle ?
The Acute Angle can be defined as an angles that measure less than 90° , the acute angle is smaller than Right Angle and also smaller than the Linear Angle ( measuring 180° ).
From the figure ,
we can see that the measure of the sides are given as a = 9 , b = 8 and
the measure of angle A is 79° .
By Applying the Law Of Sines ;
we get ,
[tex]\frac{SinA}{a} =\frac{SinB}{b}[/tex]
Substituting the values in the above equation ,
we get ;
[tex]\frac{Sin79\textdegree}{9} =\frac{SinB}{8}[/tex]
Simplifying further ,
we get ;
[tex]SinB = \frac{Sin79\textdegree}{9} \times 8[/tex]
substituting the value of Sin79° as 0.9816 ;
we get ;
[tex]SinB = \frac{0.9816}{9} \times 8[/tex]
[tex]SinB=0.8725[/tex]
So , B ≈ 61° .
Therefore , the measure of angle B is 61° .
The given question is incomplete , the complete question is
Find the measure of Angle B in the given figure .
Note that the angle B is acute . Round to the nearest degree .
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Write the equation of the given function in vertex- and standard form.
f(x)
-2
2+
N
X
-1
0
1
2
3
4
f(x)
-5
0
3
4
3
0
The standard form of the function is f(x) = -x² +4x, The vertex form isf(x) = -(x-2)² + 4
What is a function?
A function from a set X to a set Y assigns exactly one element of Y to each element of X. The set X is known as the function's domain, and the set Y is known as the function's codomain.
Given table is
x f(x)
-1 -5
0 0
1 3
2 4
3 3
4 0
Find the difference to find the degree of the given function
f(x) -5 0 3 4 3 0
1st difference 5 3 1 -1 -3
2nd difference -2 -2 -2 -2
The degree of the function is 2.
The general form of a second-degree function is
f(x) = ax²+bx+c
Putting x = 0 and f(0) =0 in f(x) = ax²+bx+c:
f(0) = a×0²+b×0+c
0 = c
Now putting x = 1 and f(1) =3 in f(x) = ax²+bx+c:
f(1) = a×1²+b×1+0 [since c=0]
3 = a + b ....(i)
Now putting x = 2 and f(2) =4 in f(x) = ax²+bx+c:
f(2) = a×2²+b×2+0 [since c=0]
4 = 4a + 2b ....(ii)
Solve equations (i) and (ii) by using the elimination method:
Multiply equation (i) by 2 and subtract it from (ii)
4a + 2b = 4
2a + 2b = 6
(-) (-) (-)
__________
2a = -2
a = -1
Putting a = -1 in equation (i):
-1 + b = 3
b = 3+1
b = 4
The function is f(x) = -x² +4x
Rewrite the given function in vertex form:
f(x) = -(x² - 4x +4-4)
f(x) = -(x-2)² + 4
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Does a quadratic graph have an inverse?
The inverse of a quadratic graph is a square root function. To graph the inverse, we reverse the domain and range.
What is a quadratic graph?The curve-shaped graph of a quadratic function is known as a parabola. The vertex of a parabola is one of its focal points.
On the graph, it is either the highest or lowest point.
We can imagine it as the parabola's endpoint.
A square root function is the inverse of a quadratic function.
We switch the domain and range in order to graph the inverse.
The graph has the same structure but has been rotated to have the original function's domain and range switched.
Therefore, the inverse of a quadratic function is a square root function. To graph the inverse, we reverse the domain and range.
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Use pattern blocks to represent each multiplication equation. Use the trapezoid to
represent 1 whole.
a. 3 • 1/3 = 1
b. 3 • 2/3 = 2
when the area of the trapezoid is 70 units, and its first and second bases are at 4.6 units,
Describe area.The size of a region on a flat or curved surface is expressed mathematically as area. The area of a form is defined as the "space encompassed inside the perimeter or the border." The area of various shapes is calculated using mathematical methods.
given
The trapezoid's surface area is 70 units.
first base is worth 20 units, while second base is worth 10 units.
how long CE
[tex]1/2(b1 + b2)*h is the area of a trapezoid.\\70= 1/2 (20 + 10 )*h\\70 = 1/2(30)*h\\4.6 units of h[/tex]
when the area of the trapezoid is 70 units, and its first and second bases are at 4.6 units,
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Where is the quadrant 1?
The quadrant 1 of the graph is in the place of upper right quadrant.
the term graph in math is referred as a non-linear kind of data structure made up of nodes or vertices and edges
Here we have given that we have to find the place of quadrant 1.
In order to find that we must know that definition of quadrant in math that is one other than the region/part of a cartesian plane which is obtained when the two axes intersect each other and it is used to determine the position of a point in a plane.
As we all know that the first quadrant is in the upper right-hand corner of the plane.
And here we all also know that both x and y have positive values in this quadrant.
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Find the total surface area of this cuboid.
5 cm
4 cm
6 cm
Answer: 15cm2
Step-by-step explanation:
5cm+4cm+6cm=15cm2
Find the inverse of the function f(x) = 2÷3x -6
Answer:
f⁻¹(x) = 3/2x +9
Step-by-step explanation:
You want the inverse of the function f(x) = 2/3x -6.
Inverse functionThe inverse function can be found by solving for y:
x = f(y)
Here, that is ...
x = 2/3y -6
x +6 = 2/3y . . . . . . . . . . . . . . add 6
y = 3/2(x +6) = 3/2x +9 . . . . multiply by 3/2
The inverse function is f⁻¹(x) = 3/2x +9.
__
Additional comment
Sometimes the division symbol ÷ is used to mean "divided by everything after this symbol." If that is the intended meaning, the function should be written as f(x) = 2/(3x -6) or f(x) = 2÷(3x -6).
We have interpreted the symbol according to the order of operations, which tells us that 2÷3x-6 means ((2÷3)·x)-6.
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6 the standard deviation of human body temperatures is equal to 0. 62 F. Identify the null hypothesis and alternative hypothesis in symbolic form
The null hypothesis exists that the standard deviation σ exists equivalent to 0.62. The alternative hypothesis exists that it does not equivalent 0.62.
What are null and alternative hypotheses?Statistical hypothesis testing employs null and alternate hypotheses. While the alternative hypothesis states your research's prediction of an effect or relationship, the null hypothesis of a test always predicts no effect or no association between variables.
A proposed claim or defense in the hypothesis test is referred to as an alternative hypothesis in statistics. In most cases, it supports the research premise and shows that there is a statistical relationship between the variables. It is one of the two statements in statistical hypothesis testing that are mutually exclusive.
H₀: σ = 0.62
H₁: σ ≠ 0.62
The null hypothesis exists that the standard deviation σ exists equivalent to 0.62.
The alternative hypothesis exists that it does not equivalent 0.62.
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- 3 (x + 8) ^ 2 - 3
Answer:
-3x + 549
Step-by-step explanation:
The order of operations is PEMDAS(parenthesis, exponents, multiplication, division, addition, subtraction)
So, according to PEMDAS, the first thing that we would do is solve the parenthesis. Since we can't solve the parenthesis because they aren't like terms, we're going to use distributive property to solve it instead.
-3(x+8) = -3(x) + -3(8) = -3x -24
Now we have: -3x - 24 ^ 2 -3
Our next step is to solve the exponent
24 ^ 2 or 24 x 24 = 576
Now we have: -3x - 24 + 576 -3
Our next step would be to add and subtract the like terms
-24 + 576 = 552 and 552 - 3 = 549
Now we have: -3x + 549
This would be the simplest form of the equation because -3x and 549 are not like terms
What is 2 4 reflected across the Y?
The point (2, -4) is reflected across the line y = -1.
The coordinates of the image is (4, -4).
coordinates
Any of a set of numbers used in specifying the location of a point on a line, on a surface, or in space.
Coordinates are a pair of numbers which are used to determine the position of a point or a shape in a 2-dimensional plane. We define the position of a point on a 2D plane using two numbers, called the x-coordinate and the y-coordinate.
Numbers
A number is a mathematical object used to count, measure, and label. The original examples are the natural numbers 1, 2, 3, 4, and so forth. Numbers can be represented in language with number words.
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Tommy earned $225 washing cars with his mobile car washing business. He charges $30 per appointment and earned $45 in tips, but he also has to pay $10 per appointment for water. Write an equation to represent this situation.
A.
(30 + 10)y + 45 = 225
B.
30y + 45 = 225 - 10y
C.
30y + 45y - 10y = 225
D.
(30 - 10)y + 45 = 225
An equation representing this situation where Tommy earned $225 washing cars per appointment charge of $30 and tips of $45 while paying $10 for water per appointment is D. (30 - 10)y + 45 = 225.
What is an equation?An equation is a mathematical statement that states that two or more mathematical expressions are equivalent or equal.
Equations depict the equality of mathematical expressions using the equation symbol (=).
The total amount earned = $225
Variable charge per appointment = $30
Tips earned = $45
Variable cost per appointment for water = $10
Contribution margin per unit = $20 ($30 - $10)
Let each appointment = y
Total earnings: 225 = (30 - 10y) + 45
Thus, the equation that represents the situation of Tommy's net earnings from washing cars is Option D.
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A group of 36 people from the Nantucket recreation center plans to purchase tickets for a cruise to Permut Bermuda the standard fare for an individual ticket is $1200 the group is informed that because of the size of the group the standard fare will be reduced by 30% with a discount of 30% how much does each member of the Nantucket recreation center have to pay for a cruise ticket show or explain how you got your answer (SOMEONE PLEASE HELP)
The total amount each member of the Nantucket recreation center have to pay after the discount is given by the equation A = $ 840
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the total amount for each person after discount be represented as A
Now , the equation will be
The total number of people in the group = 36
The standard fare for each person = $ 1200
So , the total cost of the fare = total number of people x standard fare for each person
Substituting the values in the equation , we get
The total cost of the fare = 1200 x 36
The total cost of the fare = $ 43,200
Now , the discount percentage = 30 %
So , the amount after discount = total cost of the fare - total cost of the fare x discount percentage
Substituting the values in the equation , we get
The amount after discount = 43,200 - ( 30/100 ) x 43,200
The amount after discount = 43200 - 12960
The amount after discount = $ 30,240
Now ,
Total amount for each person after discount A =amount after discount / 36
Total amount for each person after discount A = 30,240 / 36
On simplifying the equation , we get
Total amount for each person after discount A = $ 840
Therefore , the value of A is $ 840
Hence , the amount is $ 840
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the chicken coup at the petting farm is 10 feet by 14 feet. the farm would like to double the current area by adding the same amount, x, to the length and width.
Answer:
22 by 26
Step-by-step explanation:
10+10+14+14=48 (the perimeter)
48×2=96
10+12=22
14+12=26
22+22+26+26=96
−
50
67
1. 5−100%=minu, tart fraction, 67, divided by, 50, end fraction, plu, 1, point, 5, minu, 100, percent, equal
Enter the anwer a an exact decimal or implified fraction
The answer as an exact decimal = -0.84 and simplified fraction = −21/25.
What is simplified fraction?Simplifying a fraction is the process of reducing a fraction to its most basic form. If the numerator and denominator of a fraction have no common factors other than one, the fraction is in its simplest form.
When solving fraction problems, we must first simplify them. Even if we simplify them, the fraction's value will remain unchanged. This means that the simplified and actual fractions are equivalent fractions.
Given that
-67/50 + 1.5 − 100% = ?
Lets solve
= -67/50 + 1.5 − 100%
= -67/50 + 1.5 − (100 × 0.01)
= -67/50 + 3/2 - 1
= -67/50 + 75/50 - 50/50
= (-67 + 75- 50)/50
= −42/50
= −21/25
= -0.84
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Please look at image.
Answer:
Step-by-step explanation: its 90
Answer:
y=90°
since,70°+(X+X)+(180°-110°)=180°
or,70°+2X+180°-110°=180°
or,2X-40°=0
or,2X=40°
:.X=20°
Also,
X+y+70°=180°
or,y+90°=180°
:.y=90°
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The scale drawing of a building has a height of 10 centimeters. The actual building is 20 feet high. How many centimeters in the scale drawing represent one foot on the actual building?
a. 1/2
b. 30
c. 10
d. 2
Answer: 1/2
Step-by-step explanation:
The question is asking you to find how many centimeters in the scale drawing equal 1 foot on the actual building. The answer will be 1/2 because 1 centimeter is equal to 2 feet in reality. But since we want to know the answer of how many centimeters is in 1 foot, we will divide that in half, to get an answer of 1/2 centimeter, or A.
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