The given triangle CDE is not Rectangular.
What are types of triangles ?
Acute triangle . . . all three angles are less than 90°
Right triangle . . . one angle is 90°
Obtuse triangle . . . one angle is greater than 90°
Equilateral triangle . . . all three sides are the same length
Isosceles triangle . . . two sides are the same length
Scalene triangle . . . all three sides are different lengths
Given:
CD = 36cm ; CE = 42cm and DE = 55
Hence , the given triangle CDE is not Rectangular.
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Edna has been keeping an eye on an emerald ring she likes. She just noticed that it has been marked down to $28,394.70, which is 27.1% less than its original price. What was the original price of the ring?
Round your answer to the nearest cent.
Answer:
36089.66
Step-by-step explanation:
First you have to change the percent to a decimal (0.271) then you multiply the number by $28,394.70 and get (7,694.96) last you add ($7,694.96)+ ($28,394.70) to get your answer
A $9070 investment earns interest at
3.3% per year compounded
semiannually over 17 years. Use the
compound interest formula to
calculate the value of this investment
to the nearest cent.
Answer:
The investment will be worth $16898.67 after 17 years, compounded semiannually at 3.3% per year.
Step-by-step explanation:
The compound interest formula is:
A = P * (1 + (r/n))^(nt)
where
A is the amount of the investment after t years,
P is the principal amount (9070),
r is the annual interest rate (3.3%),
n is the number of times the interest is compounded per year (2),
t is the number of years (17).
Using the formula:
A = 9070 * (1 + (0.033/2))^(2 * 17)
A = 9070 * (1.0165)^34
A = 9070 * 1.882611
A = 16898.67 to the nearest cent.
So the investment will be worth $16898.67 after 17 years, compounded semiannually at 3.3% per year.
Answer: $3660.96 or $3661.0
Step-by-step explanation:
Tanner is 2 years younger than his brother. Tanners age t in years is 2 years less than his brothers age b
Answer:is his brother 4 or 8
Step-by-step explanation:
I don't know for sure
what is 1777771 plus 8999907
Answer: 10777678
ywyw
why does m1 x m2 = -1
Answer:
By Thales' Rule (aka "the angle in a semicircle is a right angle"), since PR is a diameter,angle PQR is 90 degrees, i.e. PQ is perpendicular to QR, so their gradients multiply to -1.Thus 8/12 * -6/(a-9) = -1, so 12(a-9) = 48, so a-9 = 4, so a=13, as required.
Step-by-step explanation:
An urn initially contains a single red ball and a single green ball. A ball is drawn at random, removed, and replaced by a ball of the opposite color, and this process repeats so that there are always exactly two balls in the urn. Let Xn be the number of red balls in the urn after n draws, with X0 = 1. Specify the transition probabilities for the Markov chain {Xn}.
The state space for the Markov chain {Xn} is {0, 1, 2}. At any time, Xn can only be 0, 1, or 2, depending on how many red balls are in the urn.
The transition probabilities for the Markov chain are as follows:
If Xn = 0, the next state Xn+1 can only be 1, with a probability of 1.0.
If Xn = 1, the next state Xn+1 can either be 0 or 2, with a probability of 0.5 each.
If Xn = 2, the next state Xn+1 can only be 1, with a probability of 1.0.
So, the transition probabilities can be represented in a transition matrix as follows:
P = [ [0, 1, 0],
[0.5, 0, 0.5],
[0, 1, 0]
]
This transition matrix represents the probabilities that the Markov chain will transition from one state to another in one step.
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Find parametric equations and symmetric equations for the line. (Use the parameter t.) The line through (2, 5, 0) and perpendicular to both i+j and j k x(t), y(t), z(t)) The symmetric equations are given by O x+2=-(y + 5), z = 0. O x+2=-(y + 5) = z.
X(t) = 2-t, Y(t) = 5-t, and Z(t) = 0 are the parametric equations for the line passing through (2, 5, 0) and being perpendicular to both i+j and j k. The line has symmetric equations x+2 = -(y + 5) and z = 0, or x+2 = -(y + 5) = z.
As x(t) = 2-t, y(t) = 5-t, and z(t) = 0, the parametric equations of the line passing through (2, 5, 0) and perpendicular to both i+j and j k can be written. The x, y, and z coordinates of the line are defined by these equations in terms of the parameter t. It is possible to write the line's symmetric equations as x+2 = -(y + 5) and z = 0, or as x+2 = -(y + 5) = z. These equations define the line as the collection of all points (x, y, and z) that concurrently meet both equations. The line goes through the point and is perpendicular to both i+j and j k. (2, 5, 0).
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a productive approach to identifying a research topic, and subsequent research question, is to utilize which of the following sources?
Answer:
Step-by-step explanation:
A productive approach to identifying a research topic and subsequent research question can involve utilizing multiple sources, including:
Literature review: Reviewing existing research in the field can help identify gaps in knowledge and areas that need further investigation.
Personal interests and experiences: Consider your own experiences, interests, and expertise to identify a topic that you are passionate about and can contribute to.
News articles and current events: Stay up-to-date on current events and identify topics that are relevant and pressing in your field.
Professional associations and organizations: These organizations often have conferences and publications that highlight current research trends and topics.
Government reports and data sources: These sources can provide data and information on a wide range of topics and can serve as a starting point for identifying a research question.
Ultimately, a combination of these sources can be useful in identifying a research topic and subsequent research question. It's important to consider the feasibility, importance, and originality of the research topic, and to choose a topic that you can research thoroughly and effectively.
Select all that apply.
Given the points (-6, 8) and (-3, 4), which of the following are true about the line passing through these points?
The line represents a direct variation function.
The line has a slope of - 3/4.
The point (9, -12) is also on the line.
The line has a slope of 3/4 .
Answer:
The line has a slope of - 3/4.
The line has a slope of 3/4.
Step-by-step explanation:
To determine the slope of a line passing through two points, you can use the formula:
Slope = (y2 - y1) / (x2 - x1)
Using the points (-6, 8) and (-3, 4), the slope would be:
Slope = (4 - 8) / (-3 - (-6)) = -4 / 3 = -4/3
So, the line has a slope of -4/3. The other statements in the list are not necessarily true based on the given information.
The demand function for a certain product is known to be linear.
When the price of the product is $12, the number of units sold is 5000.
But if the price of the product is $9, the number of units sold is 10000.
a) Find the demand function, expressed as price p
in terms of quantity q
p=
b) Find the price at which the demand will reach 20000 units.
The answers for demand function are a) p(x) = -0.0006q + 15 and b) the price at which the demand will reach 20000 units put q = 20000, is $3
What is demand function?A demand function is a mathematical equation which expresses the demand for a product or service as a function of its price.
Given that, the demand function for a certain product is known to be linear.
When the price of the product is $12, the number of units sold is 5000.
But if the price of the product is $9, the number of units sold is 10000.
We need to find the demand function, expressed as price p in terms of quantity q and the price at which the demand will reach 20000 units.
a) P(x) can be calculated using point slope equation given:
Price is $12 for 5000 units sold. A decrease in price to $9 increases units sold to 10000.
Slope = Δ price / Δ units = 9-12 / 10000 - 5000
= -3 / 5000 = -0.0006
p(q) = m(q - x₁) + p₁
= -0.0006(q-5000) + 12
= -0.0006q + 3 + 12
= -0.0006q + 15
Therefore, the demand function is p(x) = -0.0006q + 15
b) To find the price at which the demand will reach 20000 units put q = 20000, put q = 20000
p(x) = -0.0006 × 20000 + 15
= -12 + 15
= 3
Therefore, the price at which the demand will reach 20000 units put q = 20000, is $3
Hence, the answers for demand function are a) p(x) = -0.0006q + 15 and b) the price at which the demand will reach 20000 units put q = 20000, is $3
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Find (fog)(-4)!!!!!!!
Answer:
23
Step-by-step explanation:
We can think of (f o g)(-4) as f(g(-4)).
As you can see, we start with the inner function and the output of the inner function becomes the output of the outer function.
So we'll plug in -4 for x in g(x) and then the output of this becomes the input of f(x):
[tex]f(x)=2x-1\\g(x)=x^2-4\\f(g(-4))\\\\g(-4)=(-4)^2-4=12\\\\f(12)=2(12)-1=23[/tex]
Diane asked 12 students how many courses they have taken so far at her college. Here is the list of answers. 14, 3, 22, 10, 3, 5, 23, 18, 16, 9, 1, 26 What is the percentage of these students who have taken fewer than 4 courses?
A particular fruit's weights are normally distributed, with a mean of 796 grams and a standard deviation of 28 grams. The heaviest 2% of fruits weigh more than how many grams?
Answer =
(Give your answer to the nearest gram.)
Answer:
325888899998898897879
I need help with these questions Pls
Fractions of smallest to largest
Smallest to largest: 1/4, 1/3, 2/5, 2/3, 3/4
Smallest to largest: 1/5, 2/7, 3/5, 5/7, 31/35
Smallest to largest: 31/30, 23/20, 6/5, 13/10, 7/5
Smallest to largest: 13/10, 13/6, 11/5, 25/6, 21/5
What is fraction?An element of a whole is a fraction. The number is mathematically expressed as just a fraction, where the numerator and denominator are split. Both are integers in a simple fraction. A simple fraction contains a fraction in either the numerator or the denominator. A fraction consists of two components. The numerator seems to be the number which goes just at top of the line.
Smallest to largest: 0.25, 0.33, 0.4, 0.67, 0.75
Smallest to largest: 0.2, 0.29, 0.6, 0.71, 0.89
Smallest to largest: 1.03, 1.15, 1.2, 1.3, 1.4
Smallest to largest: 1.3, 2.16, 2.2, 4.17, 4.2
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Question To solve 6÷1/4, James thinks about how the distance from his home to the store is 1/4 mile and he wonders how many times he would have to walk that distance to walk 6 miles. What is the quotient of 6 and 1/4?
Answer:
Step-by-step explanation:
James is thinking of 6 miles as the total distance and 1/4 mile as one part of that distance. To find out how many parts of 1/4 mile he would have to walk to cover 6 miles, he needs to divide 6 by 1/4.
To perform this division, we need to remember that dividing by a fraction is the same as multiplying by its reciprocal.
The reciprocal of 1/4 is 4, so to divide 6 by 1/4, we multiply 6 by 4:
6 * 4 = 24
So, the quotient of 6 and 1/4 is 24.
4.44 is what percent of $37
Answer:
12%
4.44 / 37
Step-by-step explanation:
Answer: 12%
Step-by-step explanation: 4.44 is 12% of 37.
To solve, use this example:
[tex]\frac{x}{100} = \frac{4.44}{37}[/tex]
First, divide the part percent by the whole percent. That'd be 4.44 / 37 which is 0.12. Now, we need to multiply 100 by 0.12 is 12. So, 4.44 is 12% of 37. I hope this helped!
Determine the amplitude, midline, period, and an equation involving the sine function for the graph shown below.
The features of the sine function in this problem are given as follows:
Amplitude: 2.Midline: y = -4.Period: 3 units.The equation is given as follows:
y = 2sin(2πx/3) - 4.
How to define the sine function?The standard definition of the sine function is given as follows:
y = Asin(B(x - C)) + D.
For which the parameters are given as follows:
A: amplitude.B: the period is 2π/B.C: phase shift.D: vertical shift.The function has a minimum value of -6 and a maximum value of -2, for a difference of 4, hence the amplitude is given as follows:
2A = 4.
A = 2.
Without vertical shift, a function with amplitude of 2 would oscillate between -2 and 2, while this one oscillates between -6 and -2, hence the vertical shift is given as follows:
D = -4.
The shortest distance between repetitions can be given by 2 - (-1) = 3, hence the period is of 3 units and the coefficient B is given as follows:
2π/B = 3
B = 2π/3.
The function is at it's midline at the origin, hence it has no phase shift, and thus the equation is given as follows:
y = 2sin(2πx/3) - 4.
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Question 19). TPRS is a parallelogram. Identify mZR.
P
R
(4x+1)
T
(3x+4)
S
( 4x + 1 ) ° = ( 3x + 4 )°
Opposite side of parallelogram are always equal ...
4x + 1° = 3x + 4°
4x - 3x = 4° - 1°
x = 3°
The measure of angle R from the given parallelogram TPRS is 101°.
What is parallelogram?A parallelogram is a special kind of quadrilateral that is formed by parallel lines. The angle between the adjacent sides of a parallelogram may vary but the opposite sides need to be parallel for it to be a parallelogram. A quadrilateral will be a parallelogram if its opposite sides are parallel and congruent.
Given that, TPRS is a parallelogram.
Here, ∠T=(4x+1)° and ∠S=(3x+4)°
The sum of adjacent angles of a parallelogram is 180°.
∠T+∠S=180°
(4x+1)°+(3x+4)°=180°
7x+5=180
7x=175
x=175/7
x=25°
So, ∠T=(4x+1)°=4×25+1=101°
∠T=∠R=101° (Opposite angles of parallelogram are equal)
Therefore, the measure of angle R is 101°.
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Sharks can swim 45 miles per hour. How long would it take for the shark to swim 1 mile?
Answer:
Below
Step-by-step explanation:
distance / rate = time
1 mi / (45 mi/hr) = 1/45 hr = .02222 hr = 1 1/3 min
11.3 min
...............
it is stated in a question form it poses an expected relationship between variables it reflects a theory it is testable
The correlational hypothesis is a type of research hypothesis that proposes a relation between two variables.
Hypothesis proposes that there is a relationship or association between two variables, known as the independent and dependent variables.
The relation between the two variables can be positive or negative. A positive relation means that as the independent variable increases, the dependent variable also increases.
On the other hand, a negative relation means that as the independent variable increases, the dependent variable decreases.
The strength of the relation can be determined by calculating the correlation coefficient, which is a numerical representation of the strength of the relation between two variables.
In the mathematical representation of a correlational hypothesis, the equation
=> Y = mX + b
is used, where m represents the slope of the line and b represents the intercept. The slope of the line reflects the strength of the relation between the independent and dependent variables, while the intercept reflects the starting point of the relation.
Complete Question:
What is meant by the thing that it is stated in a question form it poses an expected relationship between variables it reflects a theory it is testable?
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equation for (3,3) and (3,-3)
Answer:
x = 3
Step-by-step explanation:
A vertical line is drawn on a graph paper, which passes through points (3, 3) and (3, -3). For a vertical line, slope or gradient is undefined.
Therefore, the equation of vertical line is the common x-coordinate of the points along the line. In this case, the common x-coordinate is 3
∴Equation of line
x = 3
The diagonals of EFGH intersect at point M. if HM =37
Answer:
If HM = 37, then ML = 37 as the diagonals of EFGH intersect at point M.
Step-by-step explanation:
To solve the diagonals of EFGH intersecting at point M, if HM = 37, first graph the points on a coordinate grid and draw the diagonals. Then use the Pythagorean Theorem to calculate the length of HM. Finally, use trigonometry to calculate the angle measure of FHG.
How much has the value of y changed between the points (-8,4) and (8,-4)?
Find where
tan^-1 (xy^2/x+y) is continuous
Answer:
The inverse tangent function, tan^-1, is continuous over its domain, which is the range of values from -π/2 to π/2. However, the function tan^-1 (xy^2/(x+y)) may not be continuous at all points in this domain, as the denominator (x + y) can be zero for some values of x and y.
Step-by-step explanation:
An obtuse angle has a measure of 150°. The angle was bisected. Each of those angles was then trisected. Finally, each of those angles was divided into 5 equal parts. How large is the smallest angle?
The smallest angle is 5° when each of those angles was divided into 5 equal parts.
What is an Angle ?In Geometry, an angle is a figure which is produced by two rays, which share a common point called a vertex. The two rays stand in for the angle's two sides. The Roman word "Angulus," which means "corner," is where the term "angle" originates. The intersection of two curves in this plane results in the angles. Angles of several kinds can be generated on a planar surface. As follows:
Acute Angle
Obtuse Angle
Right Angle
Reflex Angle
Straight Angle
Full Angle
Obtuse Angle :An angle greater than 90° but less than 180° is referred to as a "obtuse angle." An obtuse angle is between a right angle and a straight angle.
Now in this question,
Starting with an obtuse angle of 150°, bisecting it gives two angles of 75° each.
Trisecting each of these angles gives three angles of 25° each.
Dividing each of these angles into 5 equal parts gives angles of 5° each.
Therefore, the smallest angle is 5°.
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Question number 10 I need help with please
Consequently, when 3300 pounds are utilized, sand, gravel, and cement weigh 1800, 900, and 600 pounds, respectively.
what is ratio ?In algebra, ratios display how infrequently one figure is contained in another. For instance, if there are 8- oranges and 6 citrus in a fruit dish, the percentage of oranges to oranges is 8 to 6. In a similar vein, lemons to whole fruit ratio is 8 to 1, whereas lemons to oranges rate is 6 to 8. A ratio is a non-zero ordered pair of numbers, x and y b, that is stated as a / b. A ratio is really an equation that joins two ratio. The ratio can be written as 1:3, signifying that if there 1 boy and (3) girls (she has 3 girls for every boy), 3/4 of the population is female and 1/4 is male.
given
the ratio of sans , gravel and sand is 6:3:2
total pounds needed = 3300
so 6x + 3x + 2x = 3300
11x = 3300
x = 300
6x = 6 * 300 = 1800
3x = 3* 300 = 900
2x = 2* 300 = 600
Consequently, when 3300 pounds are utilized, sand, gravel, and cement weigh 1800, 900, and 600 pounds, respectively.
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Which is a sum of cubes? A^3+18, a^6+9, a^9+16, a^16+8
The sum of cubes expression is a^3 + 8
How to determine which is a sum of cubes?From the question, we have the following parameters that can be used in our computation:
The list of options
A sum of cube expression can be represented as
a^3 + b^3
From the list of options, we have
a^3 + 8
This can be expressed as
a^3 + 2^3
Hence, teh expression is a^3 + 8
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(I’ll give 10 points help meee) Mr. Paulsen challenges Olivia and Angelica to move figure ABCDE onto figure
A*B'C D'E using a series of two different transformations. They give two different
answers.
Answer the questions to investigate ways to transform ABCDE.
Olivia finds a combination of two different transformations that moves ABCDE
onto A'B'C'D'E'. What is one way she might have done this?
Answer: One way that Olivia might have found a combination of two transformations to move figure ABCDE onto figure A'B'C'D'E' is by using a combination of translations and rotations.
A translation is a type of transformation that moves a figure a certain distance in a specified direction, without changing its size or orientation. A rotation is a type of transformation that turns a figure about a fixed point, called the center of rotation, by a certain angle.
Olivia might have first translated figure ABCDE to a new location and then rotated it about a point to match the orientation of A'B'C'D'E'. For example, she could have translated figure ABCDE so that one vertex coincides with a corresponding vertex in A'B'C'D'E', and then rotated it about that common vertex so that the sides match up.
Alternatively, Olivia might have first rotated figure ABCDE to a new orientation and then translated it to the final position. The sequence of transformations could have been different, but the end result would still be figure ABCDE matching the orientation and position of A'B'C'D'E'.
Step-by-step explanation:
an entomologist expects an insect population to increase by about 20% each month from may 1 to spetember 1
The insects population expected after 4 months is 414.
What is an equation?An equation is an expression that contains numbers and variables linked together by mathematical operations of addition, subtraction, multiplication, division and exponents. An equation can either be linear, quadratic, cubic, depending of the degree of the variable.
The standard form of an exponential function is:
y = abˣ
where a is the initial value and b is the multiplication factor.
An entomologist expects an insect population to increase by about 20% each month from may 1 to September 1.
Let us assume that the population of insect on May first was 200. If y represent the population of insects x months after May 1, hence:
y = 200(1.2)ˣ
At September 1; after 4 months:
y = 200(1.2)⁴ = 414
The insects population after 4 months is 414.
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Graph 3/2x-2
(PLEASE SHOW A PICTURE OF THE GRAPH)