Answer:
The required line can be found by substituting the slope and the given point in the slope intercept form of a line and is given by y=mx+c, where m is the slope and c is the y intercept.
Step-by-step explanation:
In the given question, it is given that a linear function passes through a given point.It is required to find a line perpendicular to the function.When two functions are perpendicular, the product of their slopes is equal to -1.Thus, substitute the slope and the given point in the slope intercept form of a line and is given by y=mx+c, where m is the slope and c is the y intercept.The equation of a parallel line to a linear function that passes through a point can be explained using the examples below.
We have,
The parallel line to a linear function that passes through a point can be explained using the examples below.
Example:
Let's find a line parallel to the linear function y = 3x - 2 that passes through the point (2, 5).
Step 1: Given linear function and point
Linear function: y = 3x - 2
Point: (2, 5)
Step 2: Determine the slope of the given linear function
The slope (m) of the given function y = 3x - 2 is 3.
Step 3: Use the slope to find the equation of the parallel line
Since the parallel line has the same slope (3), its equation will be
y = 3x + b, where "b" is the y-intercept that we need to find.
Step 4: Substitute the coordinates of the given point into the equation of the parallel line
Using the coordinates (2, 5) of the given point, we can solve for "b":
5 = 3(2) + b
5 = 6 + b
b = 5 - 6
b = -1
So, the equation of the line parallel to y = 3x - 2 and passing through the point (2, 5) is:
y = 3x - 1.
Thus,
The equation of a parallel line to a linear function that passes through a point can be explained using the examples above.
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A ladder is 7 feet 6 inches tall. How tall is it in inches?
Answer:
90 inches tall
Step-by-step explanation:
7x12=84
84+6=90
hey can you please give me the answer to this?
The height of the tower is 452.66 ft
What is angle of elevation and depression?The angle formed by the line of sight and the horizontal plane for an object above the horizontal.
The angle of depression is the angle between the horizontal line and the observation of the object from the horizontal line.
Given:
we have two angles one of which is angle of elevation and another angle depression.
Using trigonometric ratio,
tan ∅ = P / B
tan 32° = h / 425
0.624= h /425
h= 265.569 ft
again,
tan 29° = h(bottom of the tower) / 425
h(bottom of the tower) = 425 × tan 29°
h(bottom of the tower) = 235.581 ft
Thus, Height of tower = h(top of the tower) + h(bottom of the tower)
Height of tower = 265.569 + 235.581
Height of tower = 501.15 ft
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For f(x) = x^2 and g(x) = x^2 + 2, find the following composite functions and state the domain of each
Answer:
[tex]composite \: function \: is \: given \: as \: in \: two \: forms \\ \\ f(g(x))and \: g(f(x)) \: therefore \: f(g(x)) =( x {}^{2} ) {}^{2} + 2 \\ whereas \: g(f(x)) = (x {}^{2} + 2) {}^{2} \\ domain of \: f(x) = x {}^{2} is( \infty - \infty ) \: and \: domain \: of \: g(x) = x {}^{2} + 2 \: is \: also \: ( \infty - \infty )[/tex]
Please answer the given question
there are total 64 is the answer if she puts 2 cookies in each packet
hope this helps u :)
what is the probability that a positive integer less than 100 picked at random has all distinct digits
the probability that a positive integer less than 100 picked at random has all distinct digits is 90.
He has 99 positive integers less than 100.
The integers that do not have all distinct digits have the same digit twice.
11, 22, 33, 44, 55, 66, 77, 88, 99
There are 9 integers that do not have distinct digits, therefore there are 99-9 integers that do.
Probability is without a doubt how probable something is to show up. whenever we are uncertain about the final results of an occasion, we can talk about the possibilities of sure outcomes and how probable they are. The analysis of events governed by opportunity is referred to as records.
A chain of moves in which the results are usually unsure. The tossing of a coin, selecting a card from a deck of playing cards, throwing a cube. occasion. it is a single final results of an experiment. Getting a Heads whilst tossing a coin is an event.
Simple probability is the calculation of an outcome or the chance of an event ever taking place. coverage companies use possibility statistics to determine the possibilities of having to pay out a declare. A simple chance is calculated by way of dividing a particular outcome through all of the feasible outcomes.
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Friar laurence: these violent delights have violent ends, and in their triumph die, like fire and powder, which, as they kiss consume: the sweetest honey is loathsome in his own deliciousness and in the taste confounds the appetite: therefore love moderately; long love doth so; too swift arrives as tardy as too slow. what do the oxymoron and paradox in this excerpt illustrate about love? only love has the ability to overcome obstacles. nothing good ever comes from truly loving another. loving with restraint is the key to long-lasting love. true love causes one to lose the ability to reason
Seriousness is what is being portrayed by the oxymoron and paradox in this excerpt.
Simply put, a serious relationship is one in which you are fully committed to your partner. You are completely open and honest with each other. You trust each other deeply. And you are on the same page together not only from your values and ethics perspective, but also from your future perspective.
Monks do not claim that "moderate" love is more wise than fleeting love, but they guide Romeo to understand the reason for his wisdom and explore their relationship.
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Which compares the medians of the data? the median for the students is 4 and the median for the teachers is 8. the median for the students is 2 and the median for the teachers is 3. the median for the students is 4 and the median for the teachers is 3. the median for the students is 2 and the median for the teachers is 8.
(B) The median for the students is 2 and the median for the teachers is 3, comparing the medians of the data.
What is a median?The median is the value that separates the upper and lower halves of a data sample, population, or probability distribution in statistics and probability theory. It is sometimes referred to as "the middle" value in a data set. The main difference between the median and the mean in summarizing data is that the median is not skewed by a tiny fraction of exceptionally big or small values, and thus provides a better depiction of a "typical" value. Because income distribution can be distorted, median income may be a better approach to illustrate what a "normal" income is.Therefore, the median for the students is 2 and the median for the teachers is 3, comparing the medians of the data.
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Correct question:
Which compares the medians of the data?
(A) The median for the students is 4 and the median for the teachers is 8.
(B) The median for the students is 2 and the median for the teachers is 3.
(C) The median for the students is 4 and the median for the teachers is 3.
(D) The median for the students is 2 and the median for the teachers is 8.
Helppp!!!
Lynn is putting tiles on her bathroom floor. Each tile measures 1 square foot each. The floor measures 4 1/2 ft by 3 3/4 ft. How many tiles will she need to cover the floor?
The number of tiles Lynn needs to cover the floor with an area of 16.875 ft² is 17 tiles
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The floor measures 4 1/2 ft by 3 3/4 ft.
Hence:
Area of floor = 4 1/2 ft * 3 3/4 ft = 9/2 ft * 15/4 ft = 16.875 ft²
Each tile measures 1 square foot each, hence:
number of tiles needed = 16.875 ft² / 1 ft² per tile = 16.875 tiles ≅ 17 tiles
The number of tiles Lynn needs to cover the floor with an area of 16.875 ft² is 17 tiles
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Dilate the figure by the scale factor. Then enter
the new coordinates.
(-3,-1)
A
(-1,-4) C
B(2,-2)
K = 5
A' ([?], [ ])
B' ([ ], [])
C' ([ ], [ ]) (pls help I will mark BRAINLIEST)
The triangle ABC was dilated with a scale factor of 5 to form a figure with new coordinates at A'(-15, -5), B'(10, -10) and C'(-5, -20).
What is transformation?Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation.
The triangle ABC was dilated with a scale factor of 5 to form a figure with new coordinates at A'(-15, -5), B'(10, -10) and C'(-5, -20).
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What is the slope and y-intercept of the equation represented by the following graph
Answer: C slope= 1/2 y-intercept =2
Step-by-step explanation:
Please help, math question below...
The value of x is 3.711 yd
What is Heron's Formula?area = √(s * (s - a) * (s - b) * (s - c))
where
s is the semi perimeter - half of triangle perimeter:
s = (a + b + c) / 2
Using Heron's Formula
area = √(s * (s - a) * (s - b) * (s - c))
area = √(14* (15- 6) * (15 - 14) * (15 - 10))
area = √(14* 9 * 1 * 5))
area = √ 630
area = 25.981 yd²
Now,
area of triangle= 1/2 * b * h
25.981 = 1/2 * 14 *h
51.962 = 14h
h= 3.711 yd
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Please do these questions for me separately(in the picture)
Based on the cost of each of the snacks in a s'more, the number that the summer camp counselor can make is E.10.
The total change in temperature on the surface of Mercury is C. 1,168°F.
What is the total s'mores that can be made?First, find out the cost of one s'more:
= (2 x 0.50) + 0.75 + (2 x 1.25)
= 1 + 0.75 + 2.50
= $4.25
The total s'mores that can be made is:
= 45 / 4.25
= 10 complete s'mores
What is the change in temperature?= 869 - (-299)
= 869 + 299
= 1,168°F
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Write the equation of the line that passes through the points (-9,-9)(−9,−9) and (6,-7)(6,−7). Put your answer in fully simplified form, unless it is a vertical or horizontal line.
2x-15y = 117 is the simplified form of the equation.
Equation : In a mathematical sentence, if two expressions are present in left and right side of an equal sign, then the mathematical sentence is called an equation.
If, a, b, c be integers and x is x-intercept & y is y-intercept, then ax+by=c is called equation of line.
Given that, the equation of the line that passes through the points (-9,-9)(−9,−9) and (6,-7)(6,−7).
Now, (-9,-9) & (6, -7) have a line through them with slope = (-9+7)/(-9-6) = 2/15
Therefore, (y+7) = 2/15×(x-6)
⇒ y+7 = 2x/15 - 4/5
⇒ y = 2x/15 - 4/5 - 7
⇒ y = 2x/15 -39/5
This is the equation in slope intercept form.
Multiplying the equation with 15, we get,
⇒ 15y = 2x-117
⇒ 2x-15y = 117 , which is the simplified form of the equation.
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An English teacher has equal numbers of fiction, literature, and poetry books.
Each day, she randomly selects one book to read from. She designs a
simulation to estimate the probability that the next three books she selects
are all literature.
Which simulation design could she use to estimate the probability?
The simulation design regarding the probability is:
Let 1, 3 = fiction.
Let 2, 4 = non fiction.
Let 5,6 = poetry
What is a simulation design?It should be noted that a simulation design us used to make a particular prediction.
In this case, a number cube can be used to estimate the probability.
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Raj and Aditi like to play chess against each other. Aditi has won 12 of the 20 games so far. They decide to play more games.
How many more games will Aditi have to win to have a 70% winning record?
12 + x = 0.70(20 + x)
x = x equals StartFraction 20 Over 3 EndFraction is approximately 6.67. ≈ 6.67
She will have to win 7 more games to have a 70% winning record.
How many more games will Aditi have to win to have an 80% winning record?
The linear equation that models this is .
Aditi would have to win more games to have an 80% winning record.
The linear model is 12 + x = 0.80(20 + x)
Aditi would need to win is 20.
How many more games does Aditi have to win?Given this linear model: 12 + x = 0.80(20 + x)
Take the following steps in order to determine the value of x:
Expand the bracket : 12 + x = 16 + 0.8x
Combine like terms: 16 - 12 = x - 0.8x
Add similar terms: 4 = 0.2x
Divide both sides by 0.2 : 4/ 0.2
x = 20
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Answer:
the first answer would be C and the second is B I think
Step-by-step explanation:
based off what I just did so 20 is the second answer aka B lol
What is the range of the function on the graph? O all real numbers Oall real numbers less than or equal to 1 O all real numbers less than or equal to 3 all real numbers less than or equal to 0
The range of the function on the graph is (c) all real numbers less than or equal to 3
How to determine the range?The missing graph is added as an attachment
From the graph, we have the following highlights
The highest y value is 3Other y values do not exceed 3This means that the range is (c) all real numbers less than or equal to 3
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slope of [3,5] and [0,11]
\[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textbf{What is the formula for finding slope?}[/tex]
[tex]\mathbf{\dfrac{y_2 - y_1}{x_2 - x_1} = slope}[/tex]
[tex]\huge\textbf{Often people understand it better by:}[/tex]
[tex]\mathbf{\dfrac{rise}{run} = slope}[/tex]
[tex]\huge\textbf{Answering the given question:}[/tex]
[tex]\mathbf{y_2 \rightarrow 11}\\\\\\\mathbf{y_1 \rightarrow 5}\\\\\\\mathbf{x_2 \rightarrow 0}\\\\\\\mathbf{x_1 \rightarrow 3}[/tex]
[tex]\huge\textbf{Now, that we have that information out}\\\huge\textbf{the way, we can answer the question.}[/tex]
[tex]\huge\textbf{Your equation should look like this:}[/tex]
[tex]\mathbf{\dfrac{11 - 5}{0 - 3} = slope}[/tex]
[tex]\huge\textbf{Solving for the answer:}[/tex]
[tex]\mathbf{\dfrac{11 - 5}{0 - 3} = slope}[/tex]
[tex]\mathbf{\rightarrow \dfrac{6}{-3} = slope}[/tex]
[tex]\mathbf{\rightarrow 6 \div -3 = slope}[/tex]
[tex]\mathbf{\rightarrow -2}[/tex]
[tex]\huge\textbf{Therefore, your answer should be:}[/tex]
[tex]\huge\boxed{\textsf{S}\frak{lope \rightarrow -2}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
I don’t know how to start to go about this. Any suggestions would be greatly appreciated. How do I go about finding X?
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \rightarrow \:x = 7° [/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
Since the two triangles are congruent, their corresponding sides and angles should be equal to one another too.
That means : Angle ADB = Angle CDB.
[tex]\large \textsf{Solve for x } [/tex]
[tex]\qquad \tt \rightarrow \:7x = 49 \degree[/tex]
[tex]\qquad \tt \rightarrow \:x = \cfrac{ 49 \degree}{7}[/tex]
[tex]\qquad \tt \rightarrow \:x = { 7 \degree}{}[/tex]
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
The ratio of vina's age to jill is 7:6.if vina is 4 years older than jill,how old is jill
jill is 24 years old.
What is ratio ?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other. For example, if there is 1 boy and 3 girls you could write the ratio as: 1 : 3 (for every one boy there are 3 girls).The ratio of vina's age to jill is 7:6 .
Let vina's age =7x
let jill's age = 6x
If vina is 4 years older than jill.
Then , 7x - 6x = 4
x = 4
Now vina's age = 7x = 7 * 4 = 28 years
jill's age = 6x = 6 * 4 = 24 years.
Therefore, jill is 24years old.
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Please help! If Paul's average speed is 5 km per hour, how long would it take Paul to walk 6.25 km?
a.)
An hour and 30 minutes
b.)
An hour and 15 minutes
c.)
An hour and 10 minutes
d.)
An hour and 25 minutes
Find x.
special 17
A. 22
B. 113√2
C. 116√2
D. 33
The value of x in the triangle is (a) 22
How to solve for x?The complete question is in the attached image.
From the attached image of the triangle, we have:
[tex]\sin(45) = \frac{x}{22\sqrt 2}[/tex]
Evaluate sin(45)
[tex]\frac{1}{\sqrt 2} = \frac{x}{22\sqrt 2}[/tex]
Solve for x
[tex]x = \frac{22\sqrt 2}{\sqrt 2}[/tex]
Divide
x = 22
Hence, the value of x is (a) 22
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A salesperson earns a commission based on the number and type of vehicle sold. A person selling 6 cars and 3 trucks earns $4,800. A person selling 8 cars and 1 truck earns $4,600. How much does a salesperson earn for selling 2 cars and 3 trucks?
$2,500
$2,700
$2,800
$3,000
Samuel bought presents for 40 cents, 50 cents, 60 cents, and 70 cents. How much money did he spend in all?
Answer:
$2.20
Step-by-step explanation:
100 cents= $1
70+60= 130. Move the decimal to the left twice to get $1.30.
50+40= 90 cents
90+30= $1.20+ the 1 dollar from before and you get $2.20
Answer: 220
Step-by-step explanation:
40+50+60+70= 220
Because the questions says in all we have to add it all together.
The amount of algae covering the Smith's backyard pond doubled every day until it was completely covered in algae on day $30$ of the month. On what day of that month was $75%$ of the pond algae-free?
The day of the month that was 75% of the pond algae-free is: on day 28 or third day.
75% of the pond algae-freeSince we were told the algae doubled every day until it was covered in algae on day 30 of the month.
Hence:
Day 30 (First day)= It was 100% covered.
Day 29 (Second day)=It was 50% covered.
Day 28 (Third day )=it was 25% covered, which will be the same as 75% pond algae-free.
Therefore the day of the month that was 75% of the pond algae-free is: on day 28 or third day.
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The complete question is:
amount of algae covering the Smith's backyard pond doubled every day until it was completely covered in algae on day 30 of the month. On what day of that month was 75% of the pond algae-free?
Question 4 of 10
Which of the following is not a condition that must be met before you can use
the quadratic formula to find the solutions of an equation?
A. There can be no term whose degree is higher than 2.
OB. The coefficient of the x²-term can't be zero.
C. The coefficient of the x²-term must be positive.
D. One side of the equation must be zero.
The condition that must not be met before usage us that the coefficient of the x²-term must be positive.
Equations of quadratic functionThe standard quadratic function is given as;
ax²+bx + c = 0
From the equation shown above, the leading degree of the equation is 2. The following are condition that must be met before you can use
the quadratic formula to find the solutions of an equation.
There can be no term whose degree is higher than 2.The coefficient of the x²-term can't be zero.The condition that must not be met before usage us that the coefficient of the x²-term must be positive.
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Expand and combine like terms. (5a^3 - 2)(5a^3+2)
Answer:
[tex]25a^6-4[/tex]
Step-by-step explanation:
So if you look at the equation, you'll notice it's being multiplied by it's conjugate which can be expressed as: x+a and x-a. See how only the sign changes? Well if remember the differences of squares, it looks like that, because it is. Essentially the difference of squares says that: [tex]a^2-b^2=(a-b)(a+b)[/tex]. So expanding this out will result in [tex](5a^3)^2-(2)^2[/tex] which simplifies to: [tex]25a^6-4[/tex]. If you're confused on how I got 25a^6. Try to think of a^3 as three a's rather than simply an exponent. and since it has a coefficient of 5. 5a^3 is the same as (5 * a * a * a). Now if you square this you have (5 * a * a * a) * (5 * a * a * a). So if you group like terms you'll end up with 6 a's being multiplied by each other (which can be expressed as a^6) and 5 * 5 which is 25.
The multiplication can be transformed into the difference of squares using the rule:(a−b)(a+b)=a²-b² . Gets the square of 2.
(5a³)²-4
Expand (5a³)².
5² (a³)² -4
To raise a power to another power, multiply the exponents. Multiply 3 and 2 to get 6.
5²a⁶-4
25a⁶-4 ====> Answer
{ Pisces04 }
A ticket costs £656
Last year it cost £640
What percentage increase is this ?
Answer:
2.5%
Step-by-step explanation:
656 / 640 = 1.025
1.025 into percent is 102.5%
102.5% - 100% = 2.5
640 + 2.5% of 640 = 656
BOOM
The required value of increase in price is 2.5%.
What is percentage?A percentage is a value that indicates 100th part of any quantity.
A percentage can be converted into a fraction or a decimal by dividing it by 100.
Given that,
The cost of ticket at present is £656.
Its cost last year was £640.
Then, the difference between the costs is given as,
656 - 640 = £16
Now, the increase in percentage can be found by taking the ratio of the difference to the last year price and multiplying it by 100 as below,
Percentage increase = 16/640 × 100%
= 2.5%
Hence, the percentage increase in price is 2.5%.
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there are 400 beads of the same size. 35% are red. 2/5 of the remaining are blue. the rest are white. what fraction are there white beads?
Answer:
84/400
Step-by-step explanation:
First, divide 35 by 100 to get the decimal, 0.35. Then, multiply 0.35 x 400. You should get 140. Now the question says 2/5 of the remaining are blue. You need to multiply 2/5 x 140 to get 56. 56 are blue. So now subtract 56 from 140 to get 84. The answer (not in simplest form) is 84/400.
You keep track of the daily hot chocolate sales and the outside temperature each day. The data you gathered is shown in the data table below.
Hot Chocolate Sales and Outside Temperatures
Sales ($) $100 $213 $830 $679 $209 $189 $1,110 $456 $422 $235 $199
Temperature (°F) 92° 88° 54° 62° 85° 16° 52° 65° 68° 89° 91°
how would you describe the correlation in the data? Explain your reasoning
Answer:
There is a negative correlation.
Step-by-step explanation:
The point on the scatter plot are downwards sloping. This implies that there is a negative relationship between the variables temperature and sales. Thus, there is a negative correlation.
The term at position n in a sequence is 3n
Work out the 4th term in this sequence.
(Hint: the 4th term is when n = 4)
Answer:
12
Step-by-step explanation:
3(4)=12
The 4th term of the sequence is 12.
What is Sequence?A grouping of numbers in a specific order is known as a sequence. On the other hand, a series is described as the accumulation of a sequence's constituent parts.
In the sequence 1, 3, 5, 7, 9, …, 1 is the first term, 3 is the second term, 5 is the third term, and so on.
Given:
sequence, S(n): 3n
Now, to find the 4th term of sequence we have to put n= 4.
So, the term of sequence
S(4) = 3(4)
s(4) = 12
Hence, the 4th term is 12.
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