Directly proportional to x.
What is propotionality?In algebra, proportionality is the equality of two ratios. A and B are in the same ratio as C and D in the formula a/b = c/d. When one of a proportion's four quantities is unknown, a proportion is often built up to resolve the word problem. By multiplying one numerator by the opposing denominator and equating the result to that of the other numerator and denominator, the equation can be solved. Any relationship that has a constant ratio is said to be proportionate. For instance, the ratio of proportionality is the average number of apples per tree, and the amount of apples in a crop is proportional to the number of trees in the orchard.Acc to our question-
If two variables' ratios (yx)(x and y) have the same value as a constant (k=yx)therefore the ratio's variable (y) in the numerator is the sum of the other variable and the constant (y=k:x).With a proportionality constant of k, it is claimed that y is directly proportional to x in this instance.Hence,Directly proportional to x.
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An iocele triangle ha a bae length of 126 unit and a height of 16 unit find the length of one of thoe leg
The length of one of the legs of the triangle is 65 units.
An isosceles triangle has a base length of 126 units and a height of 16 units. We need to find out the length of one of the legs of the triangle.
First of all, we will consider a perpendicular bisector of the triangle. This divides the given triangle into two equal right-angled triangles. Now, in the smaller triangle, we will use the Pythagorean theorem.
Let the length of the leg be represented by the variable "x". The length of the base of the right-angled triangle is half the length of the base of the original triangle.
x² = (16)² + (126/2)²
x = √(256 + 3,969)
x = √4,225
x = 65
Hence, the length of one of the legs of the triangle is 65 units.
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how many degrees in a right angle
Answer:
90 degrees is the amount of degrees in a right angle
20 divided by cos70°
Answer:
31
Step-by-step explanation:
The solution of expression 20 divided by cos70° is,
⇒ 20 divided by cos70° = 58.82
We have to given that,
A number 20 divided by cos70°.
We can simplify the expression as,
20 divided by cos70°
⇒ 20 ÷ cos 70°
⇒ 20 / cos 70°
⇒ 20 / 0.34
⇒ 20 x 100 / 0.34x100
⇒ 2000/34
⇒ 58.82
Therefore, The solution of expression 20 divided by cos70° is,
⇒ 20 divided by cos70° = 58.82
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parameters are group of answer choices numerical characteristics of a sample. numerical characteristics of a population. the averages taken from a sample. numerical characteristics of either a sample or a population.
The correct answer is Option B. Parameters are defined as a group of numerical characteristics of a population.
Parameters are generally the numbers or values that represent the whole population's numerical characteristics. There is a difference between Statistics and Parameters.
Statistics is generally defined as the numerical characteristics of a sample. For example, a sample of standard mean or a sample of standard deviation is an example of statistics.
Parameters are the numerical representation of the characteristics of a population. For example, Population mean or Population standard deviation are examples of Parameters. These represent the data or the characteristics of the population in numerical.
Hence, the correct answer is Option B.
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The correct answer is Parameters are described as a group of numerical characteristics of a population.
In general, Parameters are the numerical values that represent the entire population's numerical characteristics. There is a variation between Statistics and Parameters. Statistics are defined as the numerical characteristics of a sample. A sample of standard mean deviation or a sample of standard deviation are examples of statistics.
Parameters are the numerical portrayal of the characteristics of a population. Population mean deviation or Population standard deviation are examples of Parameters. These depict the information or the characteristics of the population in a numerical way.
Hence, the correct answer is Parameters are described as a group of numerical characteristics of a population.
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BRAINLIEST!! A helicopter descends until it reaches the ground. The equation y=-300x+ 1200 gives the height. Y, in feet, x minutes after the pilot begins the descent
Graph for the equation ( y = -300x + 1200 ) below
y-intercept = ( 0, 1200 )
x-intercept = ( 4, 0 )
Hope this helps! :)
The y-intercept is ( 0, 1200 ) and the x-intercept is ( 4, 0 ).
What is Graph?The graph is simply a structured representation of the data. It aids in our comprehension of the data. The numerical information gathered through observation is referred to as data.
In a line graph, the information or data is represented as a series of markers, or dots, and is then connected to one another by a straight line.
Given:
y=-300x+ 1200
Now, for y- intercept put x=0
y= 1200
and, for x- intercept put y= 0
0 = -300x +1200
x= 4
Hence, the y-intercept is ( 0, 1200 ) and the x-intercept is ( 4, 0 ).
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What’s the answer 60 points plus brainliest also explanation needs to be included
Answer:
both a and b
Step-by-step explanation:
It is because in the elimination method it does not matter whether you eliminate x or y so if you use option a which multiplies -2 by 1st equation so it will become:
-4x+6y=40
4x+6y=8
so the -4x and 4x cancels and a is a valid option.
If you use the b which multiplies the second with 3 it becomes:
2x-3y=-10
4x+3y=24
so -3y and 3y cancel which also makes this a valid option.
Answer: both a and b
Write an expression to describe the sequence below. Use n to represent the position of a term in the sequence, where n = 1 for the first term.
75, 76, 77, 78, ...
Answer:
x + 1
Step-by-step explanation:
75+n2+n3...+..77..+..n99++
Difference = 76-75=1
x + 1
Where x is the chosen/inital number.
The dimensions of a rectangular garden are 15 yards by 20 yards. A sidewalk, one yard wide, is to be built around the outside of the garden. What will be the area of the sidewalk?
Answer:
74 square yards
Step-by-step explanation:
Area of two-dimensional shapes:Area of rectangular garden:
l = 20 yds
w = 15 yds
Area of the rectangular garden = l *w
= 20 * 15
= 300 square yards.
Area of the outer rectangle (rectangular garden and the sidewalk):
length = 20 + 1 + 1 = 22 yds
width = 15 + 1 + 1 = 17 yds
Area of outer rectangle = 22 * 17
= 374 square yards
To find the area of the sidewalk, subtract the area of rectangular garden from the outer rectangle.
Area of the sidewalk = area of outer rectangle - area of sidewalk
= 374 - 300
= 74 square yards
help plss!!!
Based on the tables showing the price of buying different amounts of two brands of sugar. Suman determined that Sweet Sugar was the better buy based on price alone. How much money per pound will Suman save if he buys the Sweet Sugar brand?
Answer: b
Step-by-step explanation:
Answer:
He will save 1 cent per pound if he buys the Sweet Sugar brand
In a shop the price of a radio is reduced by one third. if the original price of the radio is two thousand four hundred naira,what is the reduced price
If the original price of the radio is 2,400 Naira and it is reduced by one third, then the discounted price is 1,600 Naira.
A store usually provides discount of some items to attract more customers and make greater sales.
Suppose the original price is p, the discount rate is d%, and the discounted price is q, then the discounted price can be calculated as:
q = (1 - d%) x p
Parameters given in the problem:
p = 2,400 Naira
d = 1/3
Hence,
q = (1 - 1/3) x 2400
q = 2/3 x 2400 = 1600
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Kenneth has entered a check payment of $350.25 in his checkbook. If the old balance was $545.95, what is his latest balance?
A.
$896.25
B.
$195.70
C.
$195
Answer: $195.70
Step-by-step explanation:
Which equation represents a line which is perpendicular to the line y=-4x-5?
A. x+4y=-32
B.4x+y=3
C.4x−y=−4
D.4y−x=4
Answer:
D.4y−x=4
Step-by-step explanation:
Perpendicual lines have a slope that is the negative inverse of the referenced line. The reference here is:
y = -4x-5
The slope is -4
The negative inverse of -4 would be +(1/4). Any line that has a slope of +(1/4) will be perpendicular to y=-4x+5.
The equations in the answer options are not arranged according to the standard format of y=mx+b, where m is the slope and b the y-intercept.
We could graph all the equations and look for the one(s) that are perpendicualr, but it might be safer, and faster, to rearrange them in the standard format, and then note the slope:
Slope =+(1/4)?
A. x+4y=-32
4y= -x-32
y = -(1/4)x-8 -(1/4) NO
B.4x+y=3
y = -4x + 3 -4 NO
C.4x−y=−4
y = 4x + 4 4 NO
D.4y−x=4
4y=x+4 +(1/4) <==YES
y=(1/4)x+1 [Option D has a slope of +(1/4). It will be perpendicular]
See the attached graph.
The following graph shows a proportional relationship.
What is the constant of proportionality between y and x in the graph?
Answer:
Step-by-step explanation:
Can anyone write the equation of the graph?
Answer:
f(x) = |x-3| + 5
which is the name for the level of the independent variable intended to represent a neutral condition?
The level of a independent variable known to as the "Control group" is designed to portray a neutral state.
Define the term independent variable?The cause is the independent variable. Its value is unaffected by the other study variables.
You plan a study out whether variations in the room's temperature have an impact on students' math test results.
The interior temperature of the space is your independent variable. By making the room cooler for 1⁄2 the participants and warmer for other half, you can change the temperature.Experimental findings in mathematics are your dependent variable. Using a standardized test, you measure each participant's math prowess to see if there are significant temperature-related differences.Consequently, "control group" refers to a level of such an independent variable that is meant to stand in for "no treatment" or a neutral circumstance.
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Can anyone state the vertex of the graph?
Given the graph, the vertex does not exist and the transformations from are
Vertical shift down 2Horizontal shift left 4How to calculate the vertex of the graph?The graph represents the given parameter
In the above graph, we can see that the graph is a cubic function
By definition, cubic functions do not have vertex. This is because they have no minimum or maximum
So, we can conclude that the graph has no vertex
The transformation from the parent functionIn (a), we have
We can see that the graph is a cubic function
This function is represented as
y = ∛x
In this graph, we can see that the graph is 4 units to the left
i.e. y = ∛(x - 4)
And 2 units below the origin
i.e. y = ∛(x - 4) + 2
So, the transformation is (b) and (c)
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Identify the kind of sequence shown: 2,-1,-4, -7, -10, ... *
O Arithmetic
O Geometric
ONeither
Question 1 of 10
Which of the following is the solution to | x1-2 ≤-3?
O A. All values are solutions
OB. xs-1 and x 25
OC. xs-1
OD. No solution
x = -1 is the solution to the given inequality |x| - 2 ≤ -3.
The five steps to resolving inequalities are as follows?
When addressing an inequality, we can:
Equal numbers are added to both sides.Take the same amount away from both sides.Add the same positive number to both sides.Subtract the same positive value from both sides.Reverse the sign and multiply both sides by the same negative value.Isolate the variable on one side of the inequality and place all other constants on the other. To achieve this, alter the inequality by performing opposing procedures. First, multiply each side by two to isolate the x. Any action you take toward one side must also be taken toward the other.
C) If x = -1,
|x| - 2 ≤ -3
|-1| - 2 ≤ -3.
1 - 2 ≤ -3.
-1 ≤ -3 which is true.
Hence, x = -1 is the solution to the given inequality |x| - 2 ≤ -3.
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PLEASE HELP ME WITH GEOMERY
The blanks in this two-column proof should be completed (filled) as follows:
Statements Reasons_______________
m∠RST = 5x° and m∠UVW = 7x° Given
∠RST and ∠UVW are supplementary
m∠RST = 5x° + m∠UVW = 180 definition of supplementary angles
5x + 7x = 180 substitution property of equality
12x = 180 addition property of equality
x = 15 division property of equality
What is a supplementary angle?In Mathematics, a supplementary angle simply refers to two (2) angles or arc whose sum is equal to 180 degrees.
Additionally, the sum of all of the angles on a straight line is always equal to 180 degrees. In this context, we can logically deduce that the sum of angles RST and UVW are supplementary angles:
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a triangle has sides with lengths of 10meters, 16 meters and 20meters. is it a right angled triangle
Answer:
It is not a right triangle.
Step-by-step explanation:
If the triangle were a right triangle, then the Pythagorean theorem would apply.
The Pythagorean theorem says: [tex]A^{2} + B^{2} = C^{2}[/tex]
If A = 10, B = 16, and C = 20, then [tex]10^{2} + 16^{2} = 20^{2}[/tex].
[tex]10^{2} + 16^{2} = 100 + 256 = 356[/tex]
[tex]20^{2} = 400[/tex]
In conclusion, [tex]356 \neq 400[/tex], so this triangle is not a right triangle.
(b)
Simplify
45e6f8
5ef²
i need help please!!! i dont know
The locations of the destinations given by the angles formed between parallel lines and their common transversal in the question are;
1) US Capitol
2) CIA Building
3) US Capitol
4) US Treasury
5) Walmart
What are the relationships between the angles formed by parallel lines that have a common transversal?The relationship between the angles formed are;
Corresponding angles are congruentSame side interior angles are supplementaryAlternate interior angles are congruentAlternate exterior angles are congruentVertical angles are congruent1) The location that is at a corresponding angle to the White House is the Supreme Court
The location at the vertical angle to the Supreme Court is the Smithsonian Institute
The location that is at the angle right adjacent to the Smithsonian Institute is the US Capitol
The destination location is the US Capitol2) The location that is vertical angles to the FBI Building is the National Zoo
The same side interior angle to the National Zoo is the National Coffee shop
The location at the alternate interior angle to the National Coffee Shop is the CIA Building
The location is the CIA Building3) The location at the alternate exterior angles to Lincoln Memorial is Walmart
The adjacent location that is a right angle to Walmart is the White House Gardens
The location that is at the corresponding angle to the White House Gardens is the US Capitol
The location is the US Capitol4) The location that is at the corresponding angle location to the Smithsonian Institute is the National Zoo Gift Shop
The location that is at the same side interior angle to the national gift shop is the US Capitol
The location that is at the vertical angle location to the US Capitol is the US Treasury
The current location is the US Treasury5) The location that is at alternate interior angle location to the Ford's theater is the US Capitol.
The location that is supplementary with the Vietnam War Memorial and the National Zoo is the National Coffee Shop
The location at the angle that is vertical from the National Coffee Shop is the Lincoln Memorial
The location that is at alternate exterior angle with the Lincoln Memorial is Walmart
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Select the correct answer. Given that a function, g, has a domain of -20 ≤ x ≤ 5 and a range of -5 ≤ g(x) ≤ 45 and that g(0) = -2 and g(-9) = 6, select the statement that could be true for g. A. g(-13) = 20 B. g(7) = -1 C. g(0) = 2 D. g(-4) = -11
The statement which could be true for the function, g as required in the task content is; Choice C; g(0) = 2.
Which of the statements could be true for the function g?It follows from the task content that the statement which could be true about the function g is to be identified.
Since the given function instances are; g(0) = -2 and g(-9) = 6.
Since the function, g, has a domain of -20 ≤ x ≤ 5 and a range of -5 ≤ g(x) ≤ 45.
Hence, the statement which could be true about the function, g is; Choice C; g(0) = 2.
This is so because, 0 is in the domain of the function and 2 is in the range of the function.
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can someone help me really quick
Answer:
2 swimming pool lengths
Step-by-step explanation:
to answer this we divide 1/2 by 1/4
1/2/1/4
1/2x4/1=4/2
2 swimming pool lengths
hopes this helps please mark brainliest
How to solve and answer for IXLs
Answer: r = 77.3 degrees
Step-by-step explanation:
-Add both numbers together.
- 46.2
+ 31.1
= 77.3
-That is the value of "r".
a survey has an error in departure (ed) of 0.35 ft, and error in latitude (el) of 0.82 ft. the total distance covered i the survey is 684.5 ft. compute the precision (choose the answer that is closest)
The correct value for the precision is found to be 0.0013 for the survey.
What is called the precision in surveying?Our measurement processes take into account accuracy and precision. How precisely a measurement or observation compares to a predetermined value or benchmark defines its accuracy. Contrarily, precision is the degree to which a measurement is repeatable precisely without reference to any specific significance or standard.The formula for finding the precision is-
Precision = E(closure)/ Perimeter
E(closure) = √(ed)² + (el)²
Where,
error in latitude (el) = 0.82 ft
error in departure (ed) = 0.35 ft.
Perimeter = 684.5 ft.
Find the E(closure)
E(closure) = √(0.82)² + (0.35)²
E(closure) = 0.89
Precision = 0.89/684.5
Precision = 0.0013
Thus, the correct value for the precision is found to be 0.0013 for the survey.
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a man has extra digits (six fingers on each hand and six toes on each foot). his wife and their daughter have a normal number of digits. having extra digits is a dominant trait. the couple's second child has extra digits. what is the probability that their next (third) child will have extra digits?
The likelihood of their next third child having additional digits of (six fingers on each hand and six toes on each foot) is 1/2.
Define the term dominant traits?A trait is a distinguishing characteristic that a person possesses. Dominant traits are defined as having only one copy of a gene on a chromosome which expresses a specific trait.Individuals exhibit the dominant traits most prominently. Polydactyly is the dominant condition in this case.For the given condition,
The father has six fingers plus six toes, while the mother is still in normal condition. In this particular case, polydactyly is a dominant characteristic. Twelve percent of the couple's children are projected to have additional digits.Because the father has the dominant feature as well as the mother is now in normal condition, there is a 50% chance that this deformity will be passed down to children.
Thus, the likelihood of their next (third) child having additional digits is 1/2.
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If the average daily sales in a store for the past 5 days was (2.3q + 1.4) dollars, express the total sales amount for the past 5 days as an algebraic expression.
The algebraic expression is C(5) =2.5 * 5 + 1.4 and the total cost is $13.9
How to determine the total sales amount?From the question, the equation of the total sales amount is given as
Equation = 2.3q + 1.4
Where q represents the number of days
Rewrite as
Cost = 2.3q + 1.4
Express the equation as a cost function
So, we have the following representations
C(q) = 2.3q + 1.4
When the number of days is 5, we have
q = 5
Substitute the known values in the above equation So, we have the following equation
C(5) =2.5 * 5 + 1.4
Evaluate the products
C(5) = 12.5+ 1.4
Evaluate the sum
C(5) = 13.9
Hence, the total cost for the 5 days is $13.9
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You-Pick Blueberry Farm sells 6 pounds of blueberries for $16.50.
How much would 9 pounds of blueberries cost?
How much would 5 pounds of blueberries cost?
I will give brainly! worth 23 points! please hurry!
The value of 9 pounds of blueberries is $24.75.
The value of 5 pounds of blueberries is $13.75.
How to calculate the cost?The fact that the Blueberry Farm sells 6 pounds of blueberries for $16.50 implies that the cost per pound will be:
= $16.50 / 6
= $2.75
Therefore, 9 pounds of blueberries cost:
= Cost per pound × 9
= $2.75 × 9
= $24.75
5 pounds of blueberries will cost:
= 5 × $2.75
= $13.75
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What is the value of z? (The figure May not be drawn to scale.)
The value of z is given by (b) z = 63.
According to Angle Sum Property, the sum of interior angles of a triangle is 180 degree.
So for left hand triangle, interior angles are 31, 61 and x. So,
31 + 61 + x = 180
92 + x = 180
x = 180-92
x = 88
Now x and y are the linear angles so their sum is 180 degree too.
x + y = 180
88 + y = 180
y = 180-88 = 92
Again for right hand triangle the interior angles are 25, y, z. So again by Angle Sum Property,
25 + y + z = 180
25 + 92 + z = 180
117 + z = 180
z = 180-117 = 63
Hence the value of z is 63.
So the correct option is (b).
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