Let's say we have an expression P^A then the negation of P^A will be not( P^A ). This is an example of negation.
As the name suggests negation means the negative of a term or expression and it comes under the branch of mathematical logical reasoning.
When not word is added in front of an expression it becomes the opposite , this is how we negate something. A statement is only admissible if it is always true or always false.
It is sometimes required in mathematics to find the inverse of a particular mathematical statement, this is when negation is used. Negation thus, refers to the process of determining the inverse of a given assertion.
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The speed of sound is about 340 m/s. Find the wavelength of a sound wave that has a frequency of 20.0 cycles per second ( the low end of human hearing)
A. 10.3 m
B. 17.0 m
C. 22.5 m
D. 25.0 m
Answer:
A
Step-by-step explanation:
Give the most precise classification for each figure
Answer: kite
Step-by-step explanation:
Looks like a kite
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kite
Step-by-step explanation:
this is a kite is a quartlateral but it bisects equally so it's a kite
Is 9x² 24x 16 a perfect square trinomial?
9x² + 24x + 16, which is the full quadratic trinomial expressed as (3x +4)².
What is a trinomial expression?A trinomial expression is an algebraic expression containing three distinct terms, hence the name "trinomial expression". An algebraic expression called a trinomial expression contains three nonzero terms. A trinomial expression is formed when three monomials are added or subtracted from each other. A quadratic trinomial has the form: ax² + bx + c, where a, b, and c are nonzero real values.
Given that
9x² + 24x + 16
= (3x)² + 2(12x) + 16
= (3x)² + 2(3x)(4) + 4²
This is similar to a² + 2ab + b² = (a + b)².
So you can write:
= (3x + 4)²
= (3x +4) (3x + 4)
So this is a complete quadratic trinomial.
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Please say all the values
Answer:
-8 and -11
Step-by-step explanation:
all you do is divide both sides by -5 to get x<-4 (you swap the direction of the sign when you multiply or divide by a negative number) so the answers that are smaller than -4 are -8 and -11 NOT -4
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What is BC? Enter your answer in the box. BC=
Answer:
25
Step-by-step explanation:
4x+4=6x-14
2x=18
x=9
2×9+7=25
How can these models be used to find the sum 2. 3 + 1. 94?
Enter your answers in the boxes.
The models show a total of 3 wholes,
tenths, and
hundredths. After regrouping 10 tenths into 1 whole, there are
wholes,
tenths, and
hundredths. Therefore, the sum of the numbers is
The sum of 2.3 and 1.94, that is 2.3 + 1.94 is 4 wholes, 2 tenths and 4 hundredths, which can be written in decimal form as 4.24.
Therefore the answer is 4.24.
The first number, 2.3, can be broken down into 2 wholes and 3 tenths.
The second number, 1.94, can be broken down into 1 whole, 9 tenths and 4 hundredths.
To add the two numbers together, we first add the wholes: 2 + 1 = 3.
Next, we add the tenths: 3 + 9 = 12
Since we cannot have more than 9 tenths in a whole, we must regroup 12 tenths as 1 whole and 2 tenths.
We add the regrouped tenths to the number of wholes: 3 + 1 = 4
After regrouping, we have 4 whole and 2 tenths.
Now we add the hundredths: 0 + 4 = 4
Thus the sum is 4 wholes, 2 tenths and 4 hundredths, which can be written in decimal form as 4.24.
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How do you make a graph compare two sets of data?
There are several ways to make a graph to compare two sets of data, but one common method is to use a line graph.
The steps to create a line graph to compare two sets of data:
Organize the data: Arrange the data into two columns, one for each set of data. Each column should have a label at the top to indicate what the data represents.
Choose a scale: Decide on an appropriate scale for the x- and y-axes that will allow you to clearly display the data. The x-axis should represent the categories being compared, and the y-axis should represent the values of the data.
Plot the data: Using the chosen scale, plot the data points for each set of data on the graph. Use different colors or symbols for each set of data to make it easy to distinguish between the two.
Add a title: Give the graph a title that describes what the graph is showing.
Add a legend: Add a legend to the graph to indicate what each set of data represents.
Add labels: Label the x- and y-axes to indicate what they represent.
By following these steps, you can create a clear and informative line graph that allows you to easily compare two sets of data.
Other types of graph that can be used to compare two sets of data are bar charts, scatter plots, and stacked bar charts. The choice of graph depends on the type of data you have, and what you want to compare or highlight.
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Find the area of the circle to the nearest hundredth. Use 3.14 or
22
7
for
4 in.
area: about
in. 2
Answer:
50.24 in.
Step-by-step explanation:
Step 1: Define/explain/formula.
To find the area of a circle, multiply the radius by itself twice, then multiply the product by pi.
Definitions:
The diameter is the length through the center.The radius is half of the diameter.The area of a circle is the amount of interior space enclosed by a circle.The circumference of a circle is the distance around the circle.'π' means pi.[tex]a=\pi r^2(3.14*radius*radius)[/tex]
Step 2: Solve.
The radius of this circle is 4.
Now, we simply plug the numbers into the formula.
[tex]\pi4^2(3.14*4*4)=50.24[/tex]
Step 3: Conclude.
Therefore, the area of this circle is 50.24 in.
Determine whether quadrilateral EFGH is similar to quadrilateral QRST. If so, give the similarity statement. (ASAP PLS HELP!!)
A)
QRST ∼ EFGH
B)
QRST ∼ FEHG
C)
Impossible to determine.
D)
The quadrilaterals are not similar.
Answer:
qrst similar to fehg
Step-by-step explanation:
opposite angles are equal in parallelogram so 70 is equal to 70 on both and similarly other angles also are equal that we can find using co interior property as well
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Answer:
the quads are NOT similar is the right answer!!!
Step-by-step explanation:
I got it right:)
Consider the inequality X-3/6< x/4 -4. Which value of x is a solution to the inequality?
A.x=-10
B.x=-5
C.x=5
D.x=10
x=5 is the value of the x that is the solution of the given inequality.
Define inequality.Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
What are types of inequality.>,< and not equal to are types of inequality.
x=5 is the value of the x that is the solution of the given inequality.
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Can you please help me?
Answer:
(a) Reason: angle in a semi circle is 90°
(b) PR = 19.2 cm
Step-by-step explanation:
(a) From the diagram.
∠PQR is 90° because point P,Q and R forms a semi circle, and angle in a semi circle is equal to 90°
(b) Applying
Pythagoras theorem,
a² = b²+c²................. Equation 1
From the diagram,
Where a = PR, b = RQ, c = QP.
Given: RQ = 9 cm, QP = 17 cm
Substitute these values into equation 1
(PR)² = 9²+17²
(PR)² = 81+289
(PR)² = 370
PR = √370
PR = 19.2 cm
Work out the interior angle of the octagon.
Please show the working out.
Answer:
135°
Step-by-step explanation:
formula = (n-2) * 180, whereby 'n' is the number of sides.
therefore, (8-2) * 180 = 1080°
1080° ÷ number of sides
= 1080° ÷ 8
= 135°
Answer:
∠a = 135°
Step-by-step explanation:
There is a formula for finding the sum of the interior angles of any polygon.
N = number of sides
sum of interior angles = (180° x N) - 360°
so:
(180° x 8) - 360° = 1080°
1080°/8 angles = 135° each angle
A line is perpendicular to y = x + 3
and intersects the point (-2, 4).
What is the equation of this
perpendicular line?
y = − ²x + [ ]
Hint: Use the Point-Slope Form:y-y₁ = m(x - X1)
Then write the equation in slope-intercept form.
Enter
Answer:
y =x+3
y =-x²+[?]
Find the gradient;
What is the formula for the gradient of a graph?
Finding the gradient of a straight-line graph
X2 = 2
Y2 = 7
ΔX = 4
ΔY = 3
θ = 36.869897645844°
Equation of the line:
y = 0.75x + 5.5
When x=0, y = 5.5
When y=0, x = -7.3333333333333
OR
X2 = -6
Y2 = 1
ΔX = -4
ΔY = -3
θ = 216.86989764584°
Equation of the line:
y = 0.75x + 5.5
When x=0, y = 5.5
When y=0, x = -7.3333333333333
What is unsolvable problem with an example?
Therefore , the solution of the given problem of algorithm comes out to be the halting problem can be demonstrated to be indecidable and so unsolvable.
Define the algorithm.A method for performing calculations or solving problems is known as an algorithm. Algorithms act as a thorough set of instructions that step-by-step direct hardware- or software-based processes through a series of planned activities. In every aspect of IT area, algorithms are utilized regularly.
Here,
The halting problem is one of the most popular unsolved issues. It poses the following inquiry:
Does M halt when it is given the input w for an arbitrary Turing machine over the parameters alphabet = a, b and an arbitrary string w over
The halting problem can be demonstrated to be indecidable and so unsolvable.
Therefore , the solution of the given problem of algorithm comes out to be the halting problem can be demonstrated to be indecidable and so unsolvable.
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Look at the graph, then select the correct answer.
Which distribution has the greatest spread?
A. Distribution 1
B. Distribution 2
C. Distribution 3
D. Distribution 4
The distribution has the greatest spread is
C. Distribution 3What is standard deviation?The term standard deviation refers to a measurement of the data's dispersion or spread from the mean.
A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed or spread out.
In the given problem the distribution that has a higher value of standard deviation is the one that has the highest spread spread
This is distribution 3 with a standard deviation of 7.2
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Find the solutions of the quadratic equation 3x2−x+8=03x 2 −x+8=03, x, squared, minus, x, plus, 8, equals, 0.
The solutions of the quadratic equation 3x² − x + 8 = 0 are as follows;
x = 0.1667 + 1.6245i
x = 0.1667 - 1.6245i
How to solve the given quadratic equation?In Mathematics, the standard form of a quadratic equation is given by this mathematical expression;
ax² + bx + c = 0
Mathematically, the quadratic formula is modeled or represented by this mathematical expression:
[tex]x = \frac{-b\; \pm \;\sqrt{b^2 - 4ac}}{2a}[/tex]
From the information provided above, we can logically deduce the following data values (parameters);
3x² − x + 8 = 0
Where:
a = 3b = -1c = 8Substituting the data values (parameters) into the quadratic formula, we have the following;
[tex]x = \frac{-(-1)\; \pm \;\sqrt{(-1)^2 - 4(3)(8)}}{2(3)}\\\\x = \frac{1\; \pm \;\sqrt{1\; - \;4(3)(8)}}{2(3)}\\\\x = \frac{1\; \pm \;\sqrt{1\; - \;96}}{6}[/tex]
x = (1 ± √95)/6
x = (1 + √95)/6 = 0.1667 + 1.6245i
or
x = (1 - √71)/6 = 0.1667 - 1.6245i
In conclusion, i represents a complex number.
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Complete Question:
Find the solutions of the quadratic equation 3x² − x + 8 = 0.
Which set of data shows the least variability?
A. 65, 66, 67, 68, 69
B. 60, 60, 60, 60, 80
C. 50, 60, 70, 80, 90
D. 55, 55, 75, 95, 95
I want to pour a concrete slab in my backyard with an area of 370 ft2 to put a basketball goal. If the length of the slab is 23 feet less than 6 times the width, answer the following questions.
a) What is an applicable x value?
b) What is the width of the concrete slab?
c) What is the length of the concrete slab?
An 8 by 8 checkerboard has alternating black and white squares. How many distinct squares, with sides on the grid lines of the checkerboard (horizontal and vertical) and containing at least 5 black squares, can be drawn on the checkerboard
The total number of rectangles you can draw using the grid lines exists 1296.
What are the peculiarities of rectangle?A quadrilateral is a shape with two opposed sides that are equal and parallel. It is a polygon with four sides and four 90-degree angles. The shape of a rectangle is two dimensional.
A square is a particular type of closed figure that has four straight sides, four right angles, and sides that are all the same length. As a result, we can say that: A square is a particular variety of rectangle. Rectangles are not always squares, but squares are always rectangles.
Number 2 × 2 squares have 4 black squares
all 3 × 3 squares have at least 4 black squares, as do all 4 × 4, 5 × 5, 6 × 6, 7 × 7, and 8 × 8 squares.
there are 6 × 6 = 36 3 × 3 squares
there are 5 × 5 = 25 4 × 4 squares
there are 4 × 4 = 16 5 × 5 squares
there are 3 × 3 = 9 6 × 6 squares
there are 2 × 2 = 4 7 × 7 squares
there is 1 8 × 8 square
Summing we get 91 squares
The total number of rectangles you can draw using the grid lines exists (92)(92) = 1296.
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The total number of rectangles you can draw using the grid lines exists 1296.
What are the peculiarities of rectangle?A shape with two opposing sides that are equal and parallel is called a quadrilateral. It has four sides, four 90-degree angles, and is a polygon. A rectangle is a two-dimensional form.
An example of a closed form with four straight sides, four right angles, and all sides being the same length is a square. Therefore, we can state that a square is a certain type of rectangle. Squares are not always rectangles, but rectangles are always squares.
Number 2 × 2 squares have 4 black squares
all 3 × 3 squares have at least 4 black squares, as do all 4 × 4, 5 × 5, 6 × 6, 7 × 7, and 8 × 8 squares.
there are 6 × 6 = 36 3 × 3 squares
there are 5 × 5 = 25 4 × 4 squares
there are 4 × 4 = 16 5 × 5 squares
there are 3 × 3 = 9 6 × 6 squares
there are 2 × 2 = 4 7 × 7 squares
there is 1 8 × 8 square
Summing we get 91 squares
The total number of rectangles you can draw using the grid lines exists (92)(92) = 1296.
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100,000,000 is what percent of 100,000,000
Answer:
100% if that's not an answer choice it is 1 because it is whole
Step-by-step explanation:
100,000,000 ÷ 100,000,000 = 1 or 100%
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A jar contains 7 red jelly beans, 2 black jelly beans and 6 green jelly beans. You draw ONE jelly bean. What is the probability of drawing a red bean? a. c. 1 b. d.
Answer:
7/15
Step-by-step explanation:
number of favorable outcomes (red jelly beans) = 7
number of total outcomes (total jelly beans) = 7 + 2 + 6 = 15
probability of red = number of favorable outcomes/number of total outcomes = 7/15
The probability of getting a red jelly bean is 7/15
Total number of jelly beans in the jar (sum of all the jelly beans): 7+6+2= 15
Total number of red jelly beans: 7
Therefore, the probability of getting a red jelly bean= number of red jelly beans/ total number of jelly beans
=7/15
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Find the area of the semi-circle with the radius of 4. 1mm. Round to the nearest tenth
The area of the semi-circle with the radius of 4.1 mm, round to the nearest tenth is 52.8 mm²
The area of the semi-circle will be calculated by the formula -
Area = 1/2πr², where r is the radius of the circle.
Keep the values in formula to find the value.of area of semi circle
Area = 1/2×3.14×4.1²
Performing multiplication on Right Hand Side of the equation to find the area of the semi-circle
Area = 52.78 mm²
Round off the nearest tenth
Area = 52.8 mm²
Thus, the area of semi-circle with mentioned radius is 52.8 mm².
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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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PLEASE HELP !!! I WILL MARK BRAINLIEST !!!!!
Answer:
la respuesta sería ..many.. for I finite solutions ....lla que esta ecuación cepuede resolver de muchas formas como 3^2 pasando a multiplicar y muchos más metodos
Lennox owns a big apple orchard. She ships her apples to various markets using a fleet of trucks. Every week, each truck goes on 333 trips, and for each trip Lennox gets 300300300 dollars. On a single trip, a truck delivers 505050 packs, and each pack contains 121212 kilograms of apples. Overall, Lennox sells 450045004500 dollars worth of apples in a week.
How many trucks are in Lennox's fleet?
Answer:
5 trucks
Step-by-step explanation:
Answer: 5
Step-by-step explanation:
MOEN fip
ew
A line is parallel to y = -3x + 2 and
intersects the point (4, 3). What is the
equation of this parallel line?
y = [?]x + [ ]
Hint: Use the Point-Slope Form: y - y₁ = m(x -x1)
Then write the equation in slope-intercept form.
Enter
Answer:
the equation of line parallel to y=-3x+2
is y=-3x+k---(1)
Since,line(1) passes through point (4,3).
3=-3(4)+k
or,3=-12+k
or,k=3+12
:.k=15
Putting value of k in line (1), we get
y=-3x+15,which is the required eqn.
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what is the lowest denomenator of 11/5+2/3+1/6
Answer:
[tex] \frac{11}{5} + \frac{2}{3} + \frac{1}{6} \\ = \frac{91}{30} \\ it \: is \: 30[/tex]
Please Help me. I need answers
Answer:
7
Step-by-step explanation:
49 ÷ 7 = 7
Square root is always dividing by a whole factor :)
What does it mean to use the cosine value of an inverse of tan θ?
I attached the question I'm just confused.
Will it be 60°?
Answer:
[tex] \boxed{ \begin{array}{ccc} \displaystyle \theta = {120}^{ \circ} \\ \displaystyle\sin( {120}^{ \circ} ) = \frac{ \sqrt{3} }{2} \end{array}}[/tex]
Step-by-step explanation:
we are given a inverse trig
we want to figure out the value of [tex]\theta[/tex]
in that case we can consider using unit circle in unit circle the value of arctan (-√3)=120°
therefore,
the value of theta is 120°
likewise by unit circle the value of sine is
[tex] \displaystyle \sin( {120}^{ \circ} ) = \frac{ \sqrt{3} }{2} [/tex]
What is 5 in the expression 5x called?
The term 5 in 5x is known as the coefficient of the expression.
A coefficient is defined as a term or a number which is multiplied by a variable. This constant terms generally precedes the variable term.
A coefficient is a generally a multiplicative factor in a polynomial series, or in an equation.
Expressions are mathematical statements which are composed of two terms in which at least one contain variables, numbers, or both. These terms are either numbers or variables or numbers and variables multiplying each other. These expressions are a combination of numbers with mathematical ,operators are used to separate them.
Eg, 2x - 90 =45
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