The variable x shows fish with common features.
What is Function?In mathematics, a function is represented as a rule that produces a distinct result for each input x. In mathematics, a function is indicated by a mapping or transformation. Typically, these functions are identified by letters like f, g, and h. The collection of all the values that the function may input while it is defined is known as the domain. The entire set of values that the function's output can produce is referred to as the range.
Given:
G(x) = -10x² + 100x +44
Now solving the Quadratic Equation we have
D = √(100)² - 4(-10)(44)
D = √10000 + 1760
D = √11760
D= 108.44
Now, x= -b ± D/2a
x= -100 ± 108.44 /2(-10)
x= -100 ± 108.44 / (-20)
x = -100 + 108.44 / (-20) or x= -100- 108.44 / (-20)
x= -0.422 or x= 10.422
Here x represents the fish with common features.
Learn more about Function here:
https://brainly.com/question/12431044
#SPJ1
why is it unlikely that your height is exactly 70 inches? the variable of height is continuous so there are a finite number of possible values within the real limits of the score. the variable of height is continuous so there are an infinite number of possible values within the real limits of the score.
It is unlikely for your height to be 70 inches exact because there are infinite number of possible ways.
Height is considered a continuous variable because it can take on any value within a certain range, including fractional values. Continuous variables are not limited to specific set of values, but can take on any value within a specified range. This is in contrast to discrete variables, which can only take on a specific, limited set of values. The continuous nature of height allows for precise measurement and calculation, as opposed to rounding to the nearest whole number.
When we talk about height, height is measure and hence it is a continuous variable. This means that it is possible for a person's height to be exactly 70 inches, but it is unlikely due to the vast number of possible values.
Hence, it is very unlikely for height to be specific.
To learn more about continuous variable Click here:
brainly.com/question/24253024
#SPJ4
why is the testing strategy important in the design of an experiment?multiple choicea good strategy will produce accurate results.good testing strategy will always disprove the hypothesis.good testing strategy will allow you to prove your hypothesis to be true.
The testing strategy important in the design of an experiment because a good strategy will produce accurate results. So the option a is correct.
The Design of Experiments (DOE) method is a statistical methodology for planning, carrying out, and analyzing tests. Any program based on DOE principles should start early in the test planning process.
The test planners should assemble a group of subject matter experts who can identify the primary quantitative mission-focused measures of interest (in DOE parlance: response variables) that will characterize the system's performance in the context of a mission-oriented evaluation.
Environmental and operational factors that are expected to drive system performance, as well as their levels, should be identified by test planners.
To learn more about Design of Experiments link is here
brainly.com/question/1418338
#SPJ4
The complete question is:
Why is the testing strategy important in the design of an experiment?
Multiple Choice
a. A good strategy will produce accurate results.
b. Good testing strategy will always disprove the hypothesis.
c. Good testing strategy will allow you to prove your hypothesis to be true.
-6y+6x=0 written in standrad form
Answer:
6x-6y=0
Step-by-step explanation:
Question 1 Professor Plum is putting a brick border around his irregular shaped garden. Before installing the border, Professor Plum must cut the bricks to fit the angles of the garden. Use the given measures to answer the question.
What are the angle measures of each vertex of the garden? Show your work.
question 2 ⦁ In Parallelogram , diagonals and intersect at point A. Give and. What is ? Show your work.
question 3 ⦁ Quadrilateral ABCD has vertices at. Based on the properties of the diagonals, is quadrilateral ABCD a rectangle, rhombus, or square? Use the distance and slope formulas to prove your conclusion. Show your work
The angle measures of each vertex of the garden are 53.13 degrees.
In Parallelogram ABCD, diagonals AC and BD intersect at point A = √7.
What is angle?Angle is a geometric figure that can be described as the amount of rotation between two straight line or planes and angle is measured in degree with a full circle being 360°.
1. To determine the angle measures of each vertex of the garden, we must first calculate the angles formed by each side. For example, the angle formed by sides AB and BC can be found by using the inverse tangent function. The equation would be
arctan(BC/AB) = arctan (4/3) = 53.13 degrees.
The angles for the other sides can be calculated in the same way. We can then use the sum of angles theorem to calculate the angles at each vertex. Since the garden is an irregular shape, the angles at each vertex will be different.
2. In Parallelogram ABCD, diagonals AC and BD intersect at point A. To calculate , we can use the distance formula.
The equation would be = √((x2 – x1)2 + (y2 – y1)2).
For the coordinates given, we would have
= √((2 – 5)2 + (5 – 1)2)
= √(-9 + 16)
= √7.
Answer 3: To determine whether quadrilateral ABCD is a rectangle, rhombus, or square, we must first calculate the slope.
To know more about angle click-
https://brainly.com/question/28451077
#SPJ4
a recent study of 750 internet users in europe found that 35% of internet users were women. what is the 95% confidence interval estimate for the true proportion of women in europe who use the internet?
The 95% confidence interval estimate for the true proportion of women in Europe who use the internet is = (34.968%, 35.032%) can be calculated using the following formula:
p ± z*(√(p(1-p))/n)
where pis the sample proportion (35% in this case), z is the z-score for a 95% confidence level (approximately 1.96), and n is the sample size (750 in this case).
Substituting the values, we get:
35% ± 1.96 * (√(35%(1-35%)/750))
= 35% ± 1.96 * (√(0.35 * 0.65/750))
= 35% ± 1.96 * (√(0.000936))
= 35% ± 0.0312
To know more about Algebra
https://brainly.com/question/4344214
#SPJ4
over an interval of 3.0 s the average rate of change of the concentration of a was measured to be -0.0680 m/s. what is the final concentration of c at the end of this same interval if its concentration was initially 2.700 m?
The equation for the rate of change of concentration is Δc/Δt, and this is equal to the rate of change of concentration over a given interval, -0.0680 m/s.
To calculate the final concentration, we must use the equation Δc = rate × time, where Δc is the change in concentration, and rate and time are the rate of change of concentration and the interval, respectively. Plugging in our values, Δc = -0.0680 m/s × 3.0 s = -0.204 m. This means that the final concentration of c is 2.700 m - 0.204 m, which is equal to 2.496 m.
To summarize, the rate of change of concentration equation is Δc/Δt = rate of change, and the equation to calculate the final concentration is Δc = rate × time. Plugging in the rate of change and interval, we get Δc = -0.0680 m/s × 3.0 s = -0.204 m, which gives us the final concentration of c at the end of the same interval as 2.496 m.
Learn more about equation here:
https://brainly.com/question/14686792
#SPJ4
19. A savings account earns 4% annual simple interest.
The principal is $1700. What is the balance after 6
years?
By simple interest , 2108 is the balance after 6 years.
What does compound and simple interest mean?
Simple interest and compound interest are the two methods that can be used to compute interest. The principal, or initial amount of a loan, is used to compute simple interest.
Compound interest is often referred to as "interest on interest" since it is computed using the main amount and the interest that has accrued over the course of previous periods.
annual simple interest = 4%
principal = $1700
Time = 6 years
interest = PRT/100
= 1700 * 6 * 4/100
= 408
the balance after 6 years = 1700 + 408
= 2108
Learn more about Simple interest
brainly.com/question/25845758
#SPJ1
The vector a = pi+qj, where p and q are positive constants, is such that |a| = 15. Given that a makes an angle of 55 with i, find the values of p and q
As a result, the vector a = pi+qj, where p and q are positive constants, has p=0.573 and q=11.991 so that |a| = 15.
what is vector ?A vector is an quantity with direction and magnitude but no controlling idea in mathematics. Examples of such statistics include shock and velocity. A vector is something that has both and direction. A vector can be thought of technically as a pointed line segment, whose length relates to the vector's magnitude and whose motion is indicated by an arrow. A quantity or phenomenon known as a vector has two distinct assets: size and direction. The phrase also refers to a mathematical or geometrical representation of these numbers. Emfs, weight, momentum, power, and velocity are examples of vectors in nature.
Given
ā= pi +qj = and |al = p2 +q2 = 15
\vec{a} makes an angle of 55 with i i.e. (pi +9]). = cos55
(pi +bj]). = cos55 = 0.573
=>p = 0.573
:.q2 = 15^2 – (0.573)2 = 224.64
=> q = 11.991
As a result, the vector a = pi+qj, where p and q are positive constants, has p=0.573 and q=11.991 so that |a| = 15.
To know more about vector visit:
https://brainly.com/question/30202103
#SPJ1
A truckload of Kurt's Dirt sells for $120, but you are able to get a truckload for $90. Find the discount and the rate of discount.
The discount is $30 and the rate of discount for the truckload of Kurt's Dirt selling for $120 but bought for $90 is 25%.
What is the discount rate?The discount rate refers to the percentage of price reduction offered to retail customers.
To compute the discount rate, we first determine the amount of discount. Then the result is expressed as a percentage of the initial price before the discount.
The selling price of a truckload of Kurt's Dirt = $120
The discounted price = $90
The amount of discount = $30 ($120 - $90)
Discount rate = 25% ($30/$120 x 100).
Learn more about discount rates at https://brainly.com/question/13660799
#SPJ1
At a basketball game, a team made 53 successful shots. They were a combination of 1- and 2-point shots. The team scored 89 points in all. Write and solve a system of equations to find the number of each type of shot.
The number of the one-point shot is 17 and the number of the 2 point shot is 36.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that at a basketball game, a team made 53 successful shots. They were a combination of 1- and 2-point shots.
Let the one-point shot is x and the 2 point shot is y. The equations can be written as below:-
x + y = 53
-x - 2y = -89
_________
y = 36
The value of x will be calculated as:-
x + y = 53
x + 36 = 53
x = 53 - 36
x = 17
Hence, the one-point shot number is 17, and the two-point shot number is 36.
To know more about an expression follow
https://brainly.com/question/27666541
#SPJ1
Help me pls pls ill give brainliest! Identify the figure shown in the front, top, and side views.
The solution to the figure shown is Option D.
What is Reflection?Reflection is a type of transformation that flips a shape along a line of reflection, also known as a mirror line, such that each point is at the same distance from the mirror line as its mirrored point. The line of reflection is the line that a figure is reflected over. If a point is on the line of reflection then the image is the same as the pre-image. Images are always congruent to pre-images.
The reflection of point (x, y) across the x-axis is (x, -y). When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y).
Given data ,
Let the figure be represented as A
Now , the front part of the figure is shown
And , on reflection , the position of the figure will be changed
The top part of the figure has 4 cubes
And , the side view of the figure has 2 cubes
From the options , we can see that the Option D satisfies the figure shown in the question
As , the front view will have a cube above the second cube and top view will show 4 cubes and the side view will show 2 cubes respsectively
Hence , the figure is solved
To learn more about reflection click :
https://brainly.com/question/4681298
#SPJ1
Please Help, step by step needed
The value of the trigonometry identity is tan(2x) = 4/7[√2]
How to determine the trigonometry identityFrom the question, we have the following parameters that can be used in our computation:
cos(x) = 2√5/5 and 3π/2 < x < 2π
Start by calculating the sine function sin(x) using
sin(x) = √[1 - cos²(x)]
So, we have
sin(x) = √[1 - (2√5/5)²]
This gives
sin(x) = 1/10[√10]
The tangent is then calculated as
tan(2x) = (2sin(x)cos(x))/(cos²(x) - sin²(x))
This gives
tan(2x) = (2 * 1/10[√10] * (2√5/5))/(((2√5/5))² - (1/10[√10])²)
Evaluate
tan(2x) = 4/7[√2]
Read more about trigonometry at
https://brainly.com/question/24349828
#SPJ1
in the following, we only consider graphs with 2 or more vertices. a cut in a graph is a subset of edges whose removal leaves a graph with more than one connected component. what is the minimum size of a cut where size is number of edges in the cut, for a graph that has more than one connected component?
The minimum size of a cut where size is number of edges in the cut, for a graph that has more than one connected component is 1.
In graph theory, a bridge, also known as a cut-edge, is a fundamental concept that refers to an edge in a graph that has the property of disconnecting the graph when it is removed. This means that when an edge is considered a bridge, the removal of that edge would result in an increase in the number of connected components in the graph. The importance of bridges in graph theory lies in the fact that they provide a way to break down a complex graph into smaller, simpler components that can be analyzed and understood individually. Bridges can be found in many different types of graphs, including undirected graphs, directed graphs, and weighted graphs. It is also important to note that in a graph with more than one connected component, there must exist at least one bridge, meaning that the minimum size of a cut in a graph is 1. This is because a bridge is the edge that separates the graph into two or more separate components.
The minimum size of a cut in a graph is 1. This occurs in the case of a "bridge", where removing a single edge from the graph would result in two separate connected components. In any graph with more than one connected component, there must exist at least one bridge, meaning that the minimum size of a cut is 1.
To learn more about bridges click here:
brainly.com/question/13148971
#SPJ4
PLS HELP.....5. Decide whether the polygons are similar, not similar, or not enough information is given. If similar, write a similarity statement. If not, explain why.
The two quadrilaterals TUVW and EFGH are similar.
What are similar polygons?Those polygons look the same but are different in size.
And in similar polygons,
the corresponding sides are in constant proportion to each other and the corresponding angles are equal to each other.
Given:
TUVW and EFGH are the two quadrilaterals.
The sides of the polygon TUVW are equal.
And the sides of the polygon EFGH are equal.
That means the corresponding sides will have a constant ratio.
And corresponding angles are congruent.
So, the polygons are similar.
To learn more about similar polygons;
https://brainly.com/question/14926756
#SPJ1
Calculate the value of a, A and C in triangle ABC given that b= 17.23cm, c= 10.86cm and B=101.25°
The value of a, A and C are 12.31 cm,44.07° and 34.68° respectively
What is sine rule?The sine rule states that if a, b and c are the lengths of the sides of a triangle, and A, B and C are the angles in the triangle; with A opposite a, etc., then a/sinA=b/sinB=c/sinC.
To find C:
b/sinb = c/sinC
17.23/sin101.25 = 10/sinC
17.23 × sin C = sin101.25 × 10
17.23× sin C = 0.98 ×10
sinC = 9.8/17.23
sinC = 0.569
C = sin^-1(0.569)
C = 34.68°
The sum of angle in a triangle is 180
A = 180-(101.25+34.68)
A= 180-135.93
A = 44.07°
a/sinA = b/sin B
a/sin 44.07 = 17.23/sin101.25
a= sin 17.23 × sin 44.07/sin101.25
a =( 17.24× 0.70)/0.98
a = 12.31 cm
learn more about sine rule from
https://brainly.com/question/20839703
#SPJ1
Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the high temperature for the day is 85 degrees and the low temperature of 45 degrees occurs at 3 AM. Assuming t is the number of hours since midnight, find an equation for the temperature, D, in terms of t.
Answer:
D(t) = 20 * sin(B * t - B * 3 + k * 2π) + 45 = 20 * sin(B * (t - 3) + k * 2π) + 45
Step-by-step explanation:
The temperature over a day can be modeled by a sinusoidal function of the form:
D(t) = A * sin(Bt + C) + D
Where A is the amplitude (half the difference between the high and low temperatures), B is the angular frequency, C is the phase shift, and D is the vertical shift.
From the given information, we know:
The high temperature is 85 degrees.
The low temperature of 45 degrees occurs at 3 AM, or 3 hours after midnight.
So, the amplitude is (85 - 45)/2 = 20
The temperature at 3 AM can be found by setting t = 3:
D(3) = 20 * sin(B * 3 + C) + 45
So, the vertical shift is 45.
Finally, we can find the phase shift by using the fact that the low temperature occurs at 3 AM:
C = -B * 3 + k * 2π
Where k is an integer.
Putting it all together, we get:
D(t) = 20 * sin(B * t - B * 3 + k * 2π) + 45 = 20 * sin(B * (t - 3) + k * 2π) + 45
This is the equation for the temperature, D, in terms of t.
7. which best describes the shape of the distribution? a. nearly symmetric b. right skewed c. left skewed d. uniform e. bimod
Uniform distribution best describes the given shape of the distribution.
The uniform distribution is a probability distribution that has the same probability of occurrence across a defined interval. It is also sometimes referred to as a rectangular distribution or a flat distribution.
The uniform distribution is defined by two parameters, a and b, which represent the lower and upper bounds of the interval. For example, if a uniform distribution is defined between 0 and 1, the probability of any number between 0 and 1 occurring is equal and the same.
The uniform distribution has several properties, including:
The mean of the distribution is equal to the midpoint of the interval, (a + b) / 2.
The variance of the distribution is equal to (b - a)² / 12.
The distribution is symmetrical, meaning that it is equally likely for any value within the interval to occur.
Applications of the uniform distribution include modelling random processes such as coin flips, die rolls, and random sampling. It is also often used as a prior distribution in Bayesian statistics.
Hence, the correct answer is A.
To know more about Uniform distribution, here
https://brainly.com/question/15874199
#SPJ4
--The given question is incorrect; the correct question is
"Which BEST describes the shape of the distribution?
A) uniform
B) skewed right
C) skewed left
D) roughly symmetrical"--
Beheheuejejjehdbdbbsjsnskskak
24
24x3.14
75.36
75.36/3.14
= 24 its b
Answer: 36pi(cm)^2 Answer B
Step-by-step explanation:
Solve for x. X-1/4(12-x)=x+3(4-x)-2x
Answer:
x = Approximately 4.92. (Tech: 4.923076923076923)
Step-by-step explanation:
To solve for x in the equation,
x - 1/4(12 - x) = x + 3(4 - x) - 2x
Expand the terms on the right side:
x - 1/4(12 - x) = x + 12 - 3x - 2x
Combine like terms:
x - 1/4(12 - x) = -3x + 12
Isolate x on one side of the equation:
1/4(12 - x) + 3x = 12 + x
Combine like terms:
1/4(12 - x) + 3x = 13
Distribute 3x:
1/4(12 - x) + 3x = 13
3x = 13 - 1/4(12 - x)
Multiply both sides by 4:
12x = 52 - (12 - x)
Combine like terms:
13x = 64
Finally, divide both sides by 13:
x = 4.923076923076923
So the value of x is approximately 4.92.
two different numbers are selected at random from {1, 2, 3, 4, 5} and multiplied together. what is the probability that the product is even?
Answer:
Probability of an even number product as requested = 7/10 = .7 = 70%
Step-by-step explanation:
Combinations of 2 digits from among 5 = 5!/(3!)(2!) = 10. Those combinations of 2 digits resulting in an even number product are even*even and even*odd. There are 2 even digits, (2,4) and 3 odd digits, (1,3,5).
Combinations of 2 even digits and 3 odd digits = 3*2 = 6. Combinations of 2 exact digits = 1*1 = 1. Thus, 6+1 = 7 different 2-digit products result in even numbers from among 10 possible 2-digit products.
Probability of an even number product as requested = 7/10 = .7 = 70%
TrianglePQR has two known interior angles of 66° and 100°.
TriangleRST has two known interior angles of 14° and 100°.
What can be determined about whether trianglesPQR and RST are similar?
Responses
A. Similarity cannot be determined from the given information.
B. The triangles are not similar.
C. All interior angles must be given to determine similarity.
D. The triangles are similar.
Given: A(2, 1), B(6, 3), C(8, 1). D(4,2). and E(5, 1) Prove: ABC~ADE
The proof that the angles are similar have been done below
How to do the proofTo prove that two triangles are similar, we need to show that they have congruent angles.
We can use the Angle-Angle (AA) Similarity theorem, which states that if two angles of one triangle are equal to two angles of another triangle, then the two triangles are similar.
In triangle ABC, angles A and B are equal to angles A and D in triangle ADE. So, according to the AA Similarity Theorem, triangles ABC and ADE are similar.
Thus, we can write:
ABC ~ ADE
Read more on congruent angles here:https://brainly.com/question/2938476
#SPJ1
Is x Is -2 and y is 4
Can someone help me please I didn’t realize this was the last question and it closes in some minutes I really need help please
Answer:
16
Step-by-step explanation:
Any number to the power of 0 is 1
1/4^-2 -> 4^2 -> 16
Answer: 16
Step-by-step explanation:
-2^0 = 1
y^-2 => 1/y^2 => 1/4^2 = 1/16
1/ (1/16)
1 x 16/1 = 16
What is 22+44+556 and then mutiply the answer by 88
Answer:
54,736
Step-by-step explanation:
22+44+556=622 × 88
Answer:
7.068....................
Use the graph to find the average rate of change from x=-1 to x=1.
Answer:
3
Step-by-step explanation:
[tex]\displaystyle \frac{f(b)-f(a)}{b-a}\\ \\=\frac{f(1)-f(-1)}{1-(-1)}\\ \\=\frac{3-(-3)}{1+1}\\\\=\frac{3+3}{2}\\ \\=\frac{6}{2}\\ \\=3[/tex]
solve the inequality 3x > or equal to 9 SHOW YOUR WORK
Answer:
x ≥ 3
Step-by-step explanation:
3x ≥ 9
x ≥ 3
Here is a graph of P, an insect population, W weeks after it was first measured. The population grows Exponentially.
Please answer the following questions. (I WILL GIVE +POINTS)
Question 1
We can say that [tex]P=a \cdot b^w[/tex] for constants [tex]a[/tex] and [tex]b[/tex].
Substituting the given points into this equation yields [tex]ab=900[/tex] and [tex]ab^3=8100[/tex]. We need to find the value of [tex]b[/tex] in this system.
[tex]\frac{ab^3}{ab}=\frac{8100}{900} \implies b^2=9[/tex]
Since the graph shows exponential growth, take the positive square root. So, [tex]b=\boxed{3}[/tex].
Question 2
We need to find the value of [tex]a[/tex].
[tex]ab=900 \implies 3a=900 \implies a=\boxed{300}[/tex]
Larry bought 12 containers of pasta salad for a school picnic. Each container held the same number of ounces of salad
If each container held 8 ounces of salad, then Larry purchased a total of number of 96 ounces of pasta salad.
1. First, determine the number of containers of pasta salad purchased. In this case, it is 12 number of containers.
2. Next, determine the amount of salad contained in each container. In this case, each container holds 8 ounces of salad.
3. Finally, multiply the number of containers purchased (12) by the amount of salad contained in each container (8 ounces). This gives us a total of 96 ounces of pasta salad purchased.
the complete question is :
Larry bought 12 containers of pasta salad for a school picnic. Each container held the same number of ounces of salad. If the total weight of the 12 containers was 6 pounds, how many ounces of pasta salad did each container hold?
learn more about number here
https://brainly.com/question/10547079
#SPJ4
6 1 over 2 ft= pls help
Answer: Depends on the unit. IF INCHES: 6 1/2 = 78 Inches
Step-by-step explanation:
6.5 x 12 = 78
Please reply if not inches, I can try to help you after ^^
Sophia remodeled her kitchen and bought a new range, a new microwave, a new dishwasher, and a new refrigerator. The range costs $900 , the microwave costs $275, the dishwasher costs $490, and the refrigerator costs $1450 . What was the total cost of the four appliances?
Answer:
3,115
Step-by-step explanation:
900 + 275 + 490 + 1450 = 3,115