Answer:
B) 10
Step-by-step explanation:
The triangles are congruent by HL. Thus, by CPCTC, [tex]x=10[/tex].
what is the value of x when y= -1
Answer:
x=+1
Step-by-step explanation:
the value of x will be positive 1 for we will take x=0 y=-1 where we inter change the values to be x=y-1=0
See screenshot below.
The union of the sets D and E, denoted by the expression, D ∪ E where, set D = {2, 5, 7}, and the set E = {2, 4, 5, 6} is D∪E = {2, 4, 5, 6, 7}
What is a set in set theory?A set comprises of a collection of members or elements which are objects in the set that together are taken as one object by itself.
The specified sets are;
D = {2, 5, 7}
E = {2, 4, 5, 6}
F = {1, 3, 4, 5, 7}
The union of two sets is the set of the elements in each of the set in the union, including the elements that are in both sets in the union.
The symbol used to indicate a union between two sets is the '∪'
The union of the set D and E is therefore;
D ∪ E = {2, 5, 7} ∪ {2, 4, 5, 6}
The elements in the union are therefore; 2, 2, 4, 5, 5, 6, 7
The numbers values are to be represented once in the set, such that the union of the set becomes; 2, 4, 5, 6, 7.
D ∪ E = {2, 4, 5, 6, 7}
The number of elements in the union of the set D and E is 5 elements, including 2, 4, 5, 6, and 7
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they are 40 people in 15 teenagers what percentage of the people on your guestlist are teenagers
Answer: 6
Step-by-step explanation:
40x0.15
6 are teens
A shop has a sale of 1/3
off all items in stock.
If the original price of a dress is £42, what would be its sale price?
Answer:
£ 76
Step-by-step explanation:
Answer:
28
Step-by-step explanation:
Multiply 42 by 1/3 which is 14.
Then subtract 42-14 because your subtracting the discount from the original price which gives you 28.
A clothesline rope is 8 feet long. Which of these is another way to express 8 feetanother
Using the unit conversion concept of mathematics and converting the length provided into various units , There are multiple ways to express 8 feet such as in inches, meter or kilometer and many more.
What do you mean by unit?A unit is a reference value established by law or convention that is used as a benchmark to measure an object's physical characteristic.
What do you mean by unit conversion?By definition, unit conversion refers to the division or multiplication operation used to convert measurements of the same quantity between various units. The act of converting something from one form to another in mathematics, such as from inches to millimeters or from liters to gallons, is known as conversion.
l= 8 feet
In inches, l= 96 inches
In meter, l =2.43 meters
In kilometer, l = 0.0024 kilometers
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Using the unit conversion concept of mathematics and converting the length provided into various units , There are multiple ways to express 8 feet such as in inches, meter or kilometer and many more.
What do you mean by unit?
A unit is a reference value established by law or convention that is used as a benchmark to measure an object's physical characteristic.
What do you mean by unit conversion?
By definition, unit conversion refers to the division or multiplication operation used to convert measurements of the same quantity between various units. The act of converting something from one form to another in mathematics, such as from inches to millimeters or from liters to gallons, is known as conversion.
l= 8 feet
In inches, l= 96 inches
In meter, l =2.43 meters
In kilometer, l = 0.0024 kilometers
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Geometry work number 6
The geometry work number 6 has line MN parallel to line YX, line WY is parallel to line NX and line WX is parallel to line MO.
What are parallel linesIn geometry, parallel lines are straight lines that do not intersect or meet at any point.
Considering the triangle in the geometry work number 6,
the straight lines MN and YX can continue in same plene and will never meet at any point, so there are said to be parallel to each other.
the straight lines WY and NX can continue in their direction and will not intersect each other, so they are said to be parallel to each other.
and also, the straight lines WX and MO are parallel to each other because they can not intersect each other at any point.
Therefore, we can say that line MN is parallel to line YX, line WY is parallel to line NX and line WX is parallel to line MO.
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PLEASE HELP!! WILL GIVE BRAINLIEST AND 25 POINTS!!
Find the value of x. Round your answer to the nearest degree.
A. 18°
B. 21°
C. 22°
Answer:
Sin(angle) = Opposite / hypotenuse
Sin(x) = 5/14
X = arcsin(5/14)
x = 20.9
X = 21 degrees.
the answer is da da b!
Step-by-step explanation:
please help me with this
Measure of angle I greater than angle K and J. Therefore, option D is the correct answer.
Given that, in triangle IJK, JK=18, KI=11, and IJ=14.
What is the triangle inequality theorem?If one side of a triangle is longer than another side, then the angle opposite the longer side will be larger than the angle opposite the shorter side.
Here, JK is the longest side and KI is the shortest side
So, opposite to side JK, angle I is the biggest and opposite to the side KI angle J is the smallest
Here, the measure of IJ is greater than the side KI, then the angle K opposite to side IJ is greater than the angle J
Thus, m∠I>m∠K>m∠J
Measure of angle I greater than angle K and J. Therefore, option D is the correct answer.
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. The graph shows the amount of cleaning
product dispensed when using a spray
bottle. Determine if the linear
relationship is proportional. Find and
interpret the slope. Then find the unit
rate and compare it to the slope.
The required proportional relationship is given as y = 3/2x.
What is proportionality?proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense are they directly proportional or inversely proportional to each other.
here,
From the graph,
It seems that the relationship given is a proportional relationship,
Now locate two points on the graph, as (0, 0) and (2, 3)
The equation of the line function is given as,
y - 0 = [3 / 2] (x - 0)
y = 3/2x
Thus, the required proportional relationship is given as y = 3/2x.
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If you buy a 7.25
pound pumpkin that
costs 59 cents per
pound, how much will
you have to pay?
Answer:
you will have to pay 427.75 cents.
Step-by-step explanation:
Multiply 7.25 by 59.
$25 jeans; 16% markup
29$ 16% of 25 is 4, so add it, and theres the answer
Step-by-step explanation:
Slope of (-8,-3) and (-8, -19)
Answer:
Undefined
Step-by-step explanation:
Knowledge Needed
Slope if is the constant change of the y-value when the x-value increases by 1 on a line.
Slope Formula: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Question
Plug in your points.
[tex]\frac{-19--3}{-8--8}[/tex]
[tex]\frac{-16}{0}[/tex]
Any number divided by 0 is undefined.
The slope is undefined. This means the line is completely vertical.
The line passes through
(14,-6) and has a slope = -2/7
The equation of the line passing through the given points and having slope -2/7 is obtained as y = -2/7m - 2.
How to write the equation of a straight line in slope-intercept form?A straight line can be written in the slope-intercept form as, y = mx + c.
In order to obtain the slope, the ratio of the difference of the coordinates are taken and c is the y-intercept which can be found by substituting x = 0 in the equation.
The given point and the slope for line are as (14,-6) and -2/7 respectively.
The general form of slope-intercept equation is as below,
y = mx + c
Substitute the value of x = 14, y = -6 and m = -2/7 to get,
-6 = -2/7 × 14 + c
⇒ c = -6 + 4 = -2
Thus, the equation can be written as follows,
y = mx + c
Substitute m = -2/7 and c = -2 to obtain,
y = -2/7x + (-2)
⇒ y = -2/7m - 2
Hence, the equation of the line is given as y = -2/7m - 2.
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marcus is a gardener .he pulls weeds for 18 min waters for 13min and plants for 16 min.how many total min does he spent gardening
Answer: 47 mins
Step-by-step explanation:
18 min pulls weeds + 13min water + 16 min plant = 47 mins
1. Which logarithm bases can you use to solve for x in the exponential equation 4^3+x= 25 ? (Select all that apply.)
log base 10
log base x
log base 4
log base 25
The logarithm bases can you use to solve for x in the exponential equation [tex]4^{3+x}[/tex]= 25 is log base 4. So, option 3 is correct.
What is meant by exponential equation?Finding the slope (m) and y-intercept (b) of a line's graph will allow us to build a linear function with the formula y=mx+ b. We may build an exponential function of the form y=a+ bx given an exponential curve graph by locating the common ratio (b) and y-intercept (a) on the graph. If your function has the formula y = a + b x, where and are constants, a 0 and b > 0 and b 1, then it must be exponential. Your functions in quadratic equations were always to the second power. The exponent of exponential functions is a variable.
Given equation is [tex]4^{3+x}[/tex]= 25
Applying logarithm with base 4 to both sides.
log [tex]4^{3+x}[/tex]=log 25
(3+x)log 4=log25/log 4
3+x=log 25/log 4
x=(log 25/log4)-3
So, we use log base 4.
Hence, option 3 is correct.
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Use Newton's method to find all roots of the equation correct to six decimal places. e^x = 9 - 2x
1.716762 is the correct solution up to 6 decimal places by using Newton's method.
What is Newton's method?The Newton's method is a potent tool, and in general, the convergence is quadratic: as the procedure approaches the root, the discrepancy between the root and the approximation squares, almost doubling the number of accurate digits at each step. The approach does, however, have significant drawbacks. The phrase "Newton's method" refers to Isaac Newton's explanation of a particular application of the method in his books De analysi per aequationes numero terminorum infinitas, which he wrote in 1669 and had William Jones publish in 1711, and De metodis fluxionum et serierum infinitarum (written in 1671, translated and published as Method of Fluxions in 1736 by John Colson).
Given,
f(x)=eˣ+2x-9
f'(x)=eˣ+2
ˣₙ₊₁=ˣₙ-f(ˣₙ)/f'(ˣₙ)
Let, n=1
x₂=1.9074740
x₃=1.7299338
x₄=1.716825
x₅=1.7167621
x₆=1.716762
x₅≈x₆
Therefore, 1.716762 is the correct solution up to 6 decimal places.
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Use the diagram to the right to answer the
following questions.
a. Using parallel line relationships, find the value of
x. Use the relationship between the two marked
angles to set up your equation.
Show your work to support your answer. (
Answer:
a=14
b=166
c=166
d=166
e=166
f=14
x=5
Which of the following equations represent linear functions?
a.) y=x2
b.) y=3x+2
c.) y=6
d.)y=x−−√
Answer:
b.) y=3x+2
Step-by-step explanation: The linear equation is y= mx + b
m is the slope and b is the y-intercept
Answer b is the linear equation!
See the picture please
dellana company tested 50 products for 75 hours each. during this time, it experienced four breakdowns. compute the number of failures per hour. what is the mean time between failures?
dellana company tested 50 products for 75 hours each. during this time, it experienced four breakdowns. compute the number of failures per hour, 937.50 hours is the mean time between failures.
What is mean time?The span of time before something occurs or before a given time frame expires. We can utilise the current computers while waiting for the new ones to arrive next week.
Given that,
dellana company tested 50 products
time =75 hours
Thus, total products in hours
= 50 products × 75 hours each
= 3750 product hours
Also said that, 4 breakdowns in 3750 product hours,
so, (4/3750) = 1.067 × 10⁻³ = 0.001067 breakdowns per hour.
Also, an average of 0.001067 breakdowns per hour = λ
therefore, mean time between failures:
= 1/ λ
= 1/0.001067
= 937.50 hours
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If the area of square 3 is 80 cm2 and the area of square 2 is 100 cm2, what is the area of square 1?
Answer: 180cm^2
Step-by-step explanation:
The equation is a^2 + b^2 = c^2
a^2 = area of square 3 = 80cm^2
b^2 = area of square 2 = 100cm^2
c^2 = a^2 + b^2 = 80 + 100 = 180cm^2
So answer is 180cm^2
Consider the points (-2,4), (-1, 1), (0, 0), (1, 1), and (2,4).
Does this represent a function?
A) Yes
Β) No
Given that ⧍PQR≅⧍TSU, name the corresponding angles and segments.
Answer: 5,1
Step-by-step explanation:
2. What political hurdles did African American representatives have to face after they went into
office?
The political hurdles that African American representatives have to face after they went into office is Racism.
What is Racism?Racism is the belief that different groups of humans have different behavioral traits that correspond to inherited characteristics and that they can be divided based on the superiority of one race over another.
Racism stems from the belief that a person is superior to others because of the color of their skin. In the olden days, blacks were excluded from public schools, denied the right to vote, and faced racism and legal discrimination almost everywhere. This is still faces in politics as well.
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Please help me. I will give a brainliest AFTER 2 people message
Reason:
The scale factor 1.75 is what we'll multiply by each dimension of the blue figure, to get the green figure.
The "3" is multiplied by 1.75 to get 3*1.75 = 5.25 which is the value of x, since both involve the top side of each respective trapezoid.
In other words,
(preimage Length)*(scale factor) = (image length)
(3)*(1.75) = x
5.25 = x
x = 5.25
If a firework is launched vertically upwards from a height of 20 feet above the ground. Its path is give by h(t)=-4t+16t+20, where h is the height of feet and t is the time in seconds.
can someone help me find the right answers for this with scratch work? i'm struggling quite a bit.
when is the firework at max height?
What was the highest point that the firework reached?
What is the starting point of the firework?
How high is the firework after 3 seconds?
When does the firework hit the ground?
The quadratic function defining the height of the firework in this problem after t seconds is given as follows:
h(t) = -4t² + 16t + 20.
From this definition, we can get the h-intercept giving the starting point of the firework, as follows:
h(0) = -4(0)² + 16(0) + 20 = 20 feet.
The height after 3 seconds is calculated with the numeric value as follows:
h(3) = -4(3)² + 16(3) + 20 = 32 feet.
The coefficients of the quadratic function are given as follows:
a = -4, b = 16, c = 20.
Due to the negative coefficient a, this is a concave down function, meaning that the vertex is a maximum point.
The t-coordinate of the vertex is given as follows:
tv = -b/2a = -16/2(-4) = -16/-8 = 2.
Then the maximum height of the firework is of:
h(2) = -4(2)² + 16(2) + 20 = 36 feet.
The firework hits the ground when h(t) = 0, hence, using a quadratic function calculator, the time is of:
5 seconds. (positive root).
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Which equation represents how to determine the speed of an object?
The equation that the speed of an object is speed = distance/time
How to determine the equation of an objectFrom the question, we have the following parameters that can be used in our computation:
Parameter = Object
Argument = Speed
By definition, the speed of an object is the ratio of the distance moved by the object and the time travelled by the object
Mathematically, this can be represented as
Speed = Distance : Time
Express as fraction
Speed = Distance/Time
Hence, the equation is Speed = Distance/Time
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please help 30 points, giving brainliest!!! ( DO ONLY 5-8) (USE RISE OVER RUN) (FIND SLOPE)
picture is attached :) ty!!
Answer:
6. 4/1 7. 4/2
Step-by-step explanation:
that's all I got I hope it helps.
Todd is planning a vacation and is adding $5 per day towards his savings account for it. After 20 days he has a total of $150 in his savings
account.
a). Assuming this is linear relationship write an equation to model it.
b). How many days will it take Todd to build his savings up to a total of $250.
A) The equation of the model is 20x=100.
B) Todd will take 50 days to build his savings up to a total of $250.
What is meant by an equation?An assertion that two expressions containing variables or numerical values are equivalent is known as an equation. The first step in resolving a variable equation is to identify the values of the variables that lead to the equality being true. The variables that must be changed in order to solve the equation are referred to as the unknowns, and the unknown values that satisfy the equality are referred to as the equation's solutions.
1 day ------ $5
20 days -------?
x=20×5
x=$100
A) Let the savings per one day =$5
For 20 days it will be $100
And it is given as 20x=100
Where x=time in days
B) Todd has $150 dollars for 20 days
Actual savings for 20 days=100
? --------250
x=(20×250)/100
x=50 days.
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Find the nth term of this quadratic sequence 4, 7, 12, 19, 28, ...
Answer:
which grafde are you in and I think ur question is wrong