The middle number is 16.95
What is Number system?The collection of numbers is called the number system. These numbers are of different types such as natural numbers, whole numbers, integers, rational numbers and irrational numbers.
Given:
Numbers are 12.7 and 21.2
Difference between number
= 21.2-12.7
=8.5
middle number
= 12.7+ 8.5/2
= 12.7+ 4.25
= 16.95
Hence, the middle number is 16.95.
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1) Which statement is needed to complete this syllogism? If a quadrilateral has 4 congruent sides, then it is a rhombus. If it is a rhombus, then it’s diagonals are perpendicular. Therefore, if ________________________, then it’s diagonals are perpendicular.
A) a quadrilateral has 4 congruent sides
B) it is a rhombus
C) it is a rectangle
D) it has diagonals
Statement A is needed to complete this syllogism. its diagonals are perpendicular. Therefore, if a quadrilateral has 4 congruent sides then its diagonals are perpendicular.
What is a syllogism?A logical structure for a formal argument that includes a major, minor, and conclusion.
This syllogism cannot be concluded without Statement A. The diagonals of it are parallel. As a result, a quadrilateral's diagonals are perpendicular if it has four congruent sides.
If a quadrilateral has 4 congruent sides, then it is a rhombus. If it is a rhombus, then its diagonals are perpendicular.
Therefore, if a quadrilateral has 4 congruent sides then its diagonals are perpendicular.
Hence option A is correct.
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Answer:
a quadrilateral has 4 congruent sides
Step-by-step explanation:
Syllogisms are connected by a shared statement that connects a hypothesis to a different conclusion.
Help me out please…….
Answer:
please suscribe my chsnnal
clue technical
PLEASE HELP ME!
3 markers cost $5.79 Which proportion would help determine the cost of 13
markers?
A:
13/5.79=x/3
B:
x/13=3/5.79
C:
3/5.79=13/x
D:
13/x=5.79/3
E:
None of the Above
Answer:
C: 3/5.79=13/x
Step-by-step explanation:
Two ratios are said to be in proportion when the two ratios are equal
3 markers cost $5.79 in which the proportion price is unknown
13 markers cost x
markers / cost = markers / cost
3 / $5.79 = 13 / x
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21/√7-5√7/2 solve it
Answer:
√72
Decimal Form:
1.32287565…
Step-by-step explanation:
To subtract fractions, find the LCD and then combine.
Solve for w.
w^2-9w+18=0
Answer:
w = 3 or 6
Step-by-step explanation:
[tex]w {}^{2} - 9w + 18 = 0 \\ w {}^{2} - 6w - 3w + 18 = 0 \\w(w - 6) - 3(w - 6) = 0 \\ w - 3 = 0 \\ w - 6 = 0 \\ w = 3 \: or \: 6[/tex]
Which is a perfect square?
61
62
63
65
Answer:
So none of these would be a perfect square but the closet one to it would be 65
Step-by-step explanation:
the function f(x)=-3 cos(2x+pi/4) has ___
The domain will be ( 0, ∞) and the range of the function F(x) = -3Cos[2x+[tex]\dfrac{\pi}{4}[/tex]] will be [[tex]\dfrac{-\pi}{8}[/tex] , -3 ] and [ [tex]\dfrac{3\pi}{8}[/tex],3].
What are domain and range?Range and Domain. The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.
The range of the function we can see from the graph of the function will be from [[tex]\dfrac{-\pi}{8}[/tex] , -3 ] and [ [tex]\dfrac{3\pi}{8}[/tex],3]
The domain of the function will be all the values of the real numbers for the function ranges from ( 0, ∞ ).
Therefore the domain will be ( 0, ∞) and the range of the function F(x) = -3Cos[2x+[tex]\dfrac{\pi}{4}[/tex]] will be [[tex]\dfrac{-\pi}{8}[/tex] , -3 ] and [ [tex]\dfrac{3\pi}{8}[/tex],3].
The complete question is given below:-
what is the domain and range of the function
F(x) = -3Cos[2x+[tex]\dfrac{\pi}{4}[/tex]] .
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Find the equation of the line through point (−5,5) and perpendicular to y=59x−4
Answer:
Step-by-step explanation:
write and solve a proportion to complete the statement. Round to the nearest hundredth if necessary.
1. 6km ≈ ?mi
2. 2.5 L≈ ?gal
3. 90lb ≈ ?kg
pls help
Using proportion, the equivalent units of the following units are as follows:
6km = 3.73 miles2.5 L = 0.66 gallons 90 Ib = 40.82 kgHow to use proportion to find equivalent units?Using proportion,
1.60934 km = 1 miles
6 km = ?
cross multiply
distance(m) = 6 / 1.60934 = 3.7282364199 = 3.73 miles
1 litre = 0.264172 gallons
2.5 litres = ?
volume(gallons) = 2.5 × 0.264172 = 0.66 gallons
1 pounds = 0.453592 kg
90 pounds = ?
weight(kg) = 40.82328 = 40.82 kg
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please help
PLEASE
Answer:
9:6:10
Step-by-step explanation:
Copper: Zinc: Tin= C:Z:T
C:Z:T
3:2
3:5
3x3=9
3x2=6
5x2=10
so, Copper:Zinc: Tin= 9:6:10
Solve the following by completing the square y=x^2+10
The resulting equation on using the completing the square is y = (x+5)² - 25
Completing the square methodThe quadratic equation has a leading degree of 2. Given the equation below;
y = x^2+10x
Add the square of the half of coefficient of x to have;
y = x^2+10x + (10/2)²- (10/2)²
y = x^2 + 10x + 5² - 5²
y = x^2 + 10x + 25 - 25
y = (x+5)² - 25
Hence the resulting equation on using the completing the square is y = (x+5)² - 25
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Which polynomial is in standard form?
1+2x-8x^2+6x^3
2x^2+6x^3-9x+12
6x^3+5x-3x^2+2
2x^3+4x^2-7x+5
The only equation that is written in descending order is
2x³+4x²-7x+5 , Option D is the correct answer.
What is a Polynomial ?A polynomial is a mathematical expression consisting of variables , constants and mathematical operators.
The standard form of a polynomial is
[tex]\rm a_1x^n +a_2x^{n-1}+............+a_0[/tex]
The only equation that is in its standard form or in other words
The only equation that is written in descending order is
2x³+4x²-7x+5 , Option D is the correct answer.
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How do you factor a^2-b
Answer:
a
2
−
b
2
Since both terms are perfect squares, factor using the difference of squares formula,
a
2
−
b
2
=
(
a
+
b
)
(
a
−
b
)
where
a
=
a
and
b
=
b
.
a shape is rotated 180 to its origin and then its image s reflected in the y axis describe fully the translation that would have the same result as the two transformation drscribe above
The single transformation that will cause the same effect as that of these two transformation is the reflection of shape in the x-axis .
(x,y) -----------> (x,−y)
What is Transformation ?The change done to a shape on a coordinate plane by reflection ,translation and rotation is a called Transformation .
It is given that a shape is rotated to its origin
Then its image is reflected in the y axis.
The single transformation that would have the same result as the two transformations is (x,y) to (x,−y)
reflection of shape in x-axis .
The x stays the same, but the y changes sign.)
The change caused by Rotation by 180° about the origin,
(x,y) -------> (−x,−y)
The change caused when reflected in the y-axis,
(x,y) --------> (−x,y)
Therefore the single transformation that will cause the same effect as that of these two transformation is the reflection of shape in the x-axis .
(x,y) -----------> (x,−y)
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The function below models the correlation between the number of hours a plant is kept in sunlight (x) and the height (y), in mm, to which it grows: y = 4 + 2x What does the slope of this function represent? (1 point) a The original height of the plant was 4 mm. b The original height of the plant was 2 mm. c The height of the plant increases by 2 mm for every hour of sunlight it receives. d The height of the plant increases by 4 mm for every hour of sunlight it receives.
The correct answer is option C which is the height of the plant increases by 2 mm for every hour of sunlight it receives.
What is an equation?The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.
Given equation is as follows:-
y = 4 + 2xHere x is the variable which depends on the amount of sunlight and 4 is the original height of the plant so as the sunlight varies the value of x changes and it increases the height of the plant by 2 mm.
The graph of the equation is also attached with the answer. Therefore the correct answer is option C which is the height of the plant increases by 2 mm for every hour of sunlight it receives.
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Which equation results from adding the equations in this system? Negative 2 x + y = 8. 5 x minus y = negative 5. 7 x = 13 7 x = 3 3 x = 3 3 x = 13'
The correct option is second one i.e 7x = 3
Therefore the results from adding the equation in this system are
7x = 3
Equations as,
What is the equation?An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign.
2x+y=8 .......................1
5x-y=-5 .......................2
Result when adding equations 1 and 2 =?
On adding equations 1 and 2 the y term will get canceled and the like terms will combine is add (2x and 5x ) and ( 8 and - 5) as shown below
2x + y = 8
5x - y = - 5
-------------------------------------------
7x + 0 = 3
---------------------------------------------
Therefore the results from adding the equation in this system are 7x=3.
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Answer:
7x=3
Step-by-step explanation:
PLS HELP THANK YOU I REALLY NEED IT
Answer:
25
Step-by-step explanation:
x+115=180 (straight angle)
x= 65
y= 180-90-65
=25
The cost of the fruit is given by the function y= 3x+1, where x is the number of fruits and y is the total cost. Find the
range of the function.
Answer:
The answer is the second option: {4, 7, 10...}
16. a bacteria culture starts with 10 00 bacteria and the number doubles every 40minutes.(a) find a formula for the number of bacteria at time t
The formula that can be used to find the number of bacteria is FV = 1000 x 2^t.
What is the formula that can be used to find the number of bacteria?The formula that can be used to determine the number of bacteria is an exponential function with the form:
FV = P(1 + r)^t
Where:
FV = future population P = present population r - rate of increase1000 x ( 1 + 1)^t
FV = 1000 x 2^t
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A company makes 140 bags. 39 of the bags have buttons but no zips. 21 of the bags have zips but no buttons. 23 of the bags have neither zips nor buttons. How many bags have zips on them?
Subtraction is a mathematical operation that reflects the removal of things from a collection. The number of bags that zips on them is 78.
What is subtraction?Subtraction is a mathematical operation that reflects the removal of things from a collection. The negative symbol represents subtraction.
Given the number of bags that the company makes is 140. 39 of the bags have buttons but no zips. 21 of the bags have zips but no buttons. 23 of the bags have neither zips nor buttons.
Bags that have both zip and button
= Total number of bags - Number of bags with zips but no buttons - Number of bags with buttons but no zips - Number of bags with nor zips nor the buttons
= 140 - 21 - 39 - 23
= 57
Now, the number of bags that has zips will be the bags that only have zips and the number of bags that has zips and buttons. Therefore, the number of bags with zips is,
n = Bags that have both zip and button + Number of bags with zips but no buttons
= 37 + 21
= 78
Hence, the number of bags that zips on them is 78.
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Answer:
Bags with zip = (bag with button and zip) + (bag with no button but only zip)
i.e.,
Rotal bags – (bags with neither of two + bags with only buttons)
=> 140-(39+23)
=> 140-62
=> 78
So, 78 bags have zips on them.
Which pair of ratios makes a proportion?
A. 1/4 and 5/25
B. 1/4 and 7/24
C. 1/4 and 10/48
D. 1/4 and 9/36
Answer:
D. 1/4 and 9/36Step-by-step explanation:
If two ratios make a proportion then it can be shown as:
a/b = c/d ⇒ ad = bcLet's verify the answer choices with this method
A. 1/4 and 5/25
1*25 = 4*525 = 20, incorrect, not a proportionB. 1/4 and 7/24
1*24 = 4*7 24 = 28, incorrect, not a proportionC. 1/4 and 10/48
1*48 = 4*1048 = 40, incorrect, not a proportionD. 1/4 and 9/36
1*36 = 4*936 = 36, correct, this is a proportionsimplify -9(5 - 2) - 111÷3 show all work
Answer:
-64
Step-by-step explanation:
use PEMDAS order : Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)
-9(5 - 2) - 111÷3 =
-9(3) - 111÷3 =
-27 - 111÷3 =
-27 - 37 =
-64
If j is 53 degrees and l is 29 how much is k?
Answer:
98
Step-by-step explanation:
There are 180 degrees in a triangle.
180 - 53 - 29 = 98
Mandy used the input and output in this table to write ratios. She concluded that because they are not all equivalent, this is not a proportional relationship. Is she correct? Explain.
A 2-column table with 4 rows. Column 1 is labeled x with entries 1, 2, 5, 10. Column 2 is labeled y with entries 5, 10, 25, 50.
StartFraction 5 over 1 EndFraction = StartFraction 10 over 2 EndFraction = StartFraction 25 over 5 EndFraction = StartFraction 10 over 50
Answer:
The conclusion derived by Mandy is incorrect.
Step-by-step explanation:
Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value time the other. That constant is known as the "constant of proportionality".
To determine if the input and output are proportional, we simply divide the output (y) by the corresponding input (x).
i.e. Ratio[tex]=\frac{y}{x}[/tex]
So, we have:
[tex]Ratio=\frac{5}{1}=5[/tex]
[tex]Ratio=\frac{10}{2}=5\\ Ratio =\frac{25}{5}=5\\ Ratio=\frac{50}{10} =5[/tex]
For the four input and output data, the ratios are equal. This means that the relationship is proportional.
Hence, Mandy's conclusion is incorrect.
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ratios are equal, so its proportionate Mandy's conclusion is incorrect.
Write the algebraic expression for the following statement.
A number plus 15.
Answer:
the algebraic expression is; x+15
Choose the congruence theorem that you would use to prove the triangles congruent.
AAS
SAS
ASA
SSS
Answer:
C) ASA
Step-by-step explanation:
From the diagram we can see:
The triangles have two congruent angles and one congruent side which is between those two angles.
It means the triangles are congruent by angle-side-angle or in short ASA theorem.
Correct answer choice is C
Lola needs to sign 96 invitations. Using a stopwatch that measures time to tenths of a second, it takes Lola 5.3 seconds to sign her full name. Going by the accuracy of the stopwatch, which is the most accurate determination for the number of seconds Lola needs to sign all 96 invitations?
The time needed by Lola to sign all the 96 invitations is 508.8 second
What is a Product ?Product is the number obtained when two numbers are multiplied with each other
It is given that
Total Invitations that Lola needs to sign = 96
Time taken to sign full name = 5.3 seconds
Total time needed by Lola to sign invitations is
96 * 5.3
= 508.8 seconds
Therefore the time needed by Lola to sign all the 96 invitations is 508.8 second
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For a given interest rate, simple interest varies jointly as principal and time. If $2000 left in an account for 4 yr earned interest of $280, how much interest would be earned in 6 yr?
Question 1 of 10
What is the volume of the cylinder below?
A.
168 units3
B.
378 units3
C.
252 units3
D.
288 units3
The volume of the cylinder shown below is 252πcm³
Volume of a cylinderThe formula for calculating the volume of a cylinder is expressed as:
V = πr²h
where:
r is the radius
h is the height
Given the following
radius = 6 units
height = 7 units
Substitute
V = πr²h
V = π(6)²(7)
V = 252πcm³
Hence the volume of the cylinder shown below is 252πcm³
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The number of hours per week that the television is turned on is determined for each family in a sample. The mean of the data is 37 hours and the median is 33.2 hours. Twenty-four of the families in the sample turned on the television for 22 hours or less for the week. The 10th percentile of the data is 22 hours. Based on the given information, determine if the following statement is true or false. Approximately 120 families turned on their televisions for less than 37 hours.
The statement; Approximately 120 families turned on their televisions for less than 37 hours is true.
What is true about the data?From the task content, since the 10% percentile of the data corresponds to 24 families, it.follws that the total number of families sampled is; 24 × 10 = 240 families.
On this note, after the first 120 data points, the median is determined to be 33.2 hours which is less than the mean. Conclusively, it follows that approximately 120 families turned on their televisions for less than 37 hours.
Hence, the statement is true.
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