PLS help id rlly appreciate it and dont guess the answer if u dont know it. If you dont know then u dont know. if u do know the answer let me know ty! (giving out 11 points, no links pls)
Answers
The answer of the given question based on the graph is , option (b) the function of the given graph could be f(x) = (x+2)(x − 2)³ (x-5)².
What is Function?A function is a relationship between a set of inputs (called the domain) and a set of possible outputs (called the range) with the property that each input is related to exactly one output.
A function is typically represented symbolically by an equation that describes how the output depends on the input. For example, the function f(x) = 2x + 3 represents a relationship between the input x and the output 2x + 3, which is obtained by multiplying x by 2 and then adding 3.
The given graph has three x-intercepts at x=-2, x=2, and x=5. It also has a local minimum at x=4, where the function crosses the x-axis.
From the information given, we can see that f(x) has factors of (x+2), (x-2), and (x-5) raised to some power, which account for the x-intercepts.
We also know that the function changes sign at x=4, which means there must be a factor of (x-4) or (4-x) in the function.
Based on this information, we can eliminate options (a) and (d) since they do not include a factor of (x-4) or (4-x).
Option (c) includes an additional factor of (x-4), which would account for the sign change at x=4, but it has the same power on (x+2) as on (x-2), which is not consistent with the graph. Therefore, we can eliminate option (c).
This leaves us with option (b), which has the correct factors and powers to account for the x-intercepts and the sign change at x=4. Therefore, the function of the given graph could be f(x) = (x+2)(x − 2)³ (x-5)².
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Related Questions
URGENT PLEASE HELP ME I NEED TO PASS!!! I WILL GIVE SOMEONE BRAINLIEST!
What is the slope of the line passing through the points (1, 2) and (5, 4)?
A: -2
B: 1/2
C: 1
D: 2
Answers
Answer:B 1/2
Step-by-step explanation:
We can use the slope formula to find the slope of the line passing through the two points:
slope = (y2 - y1) / (x2 - x1)
Plugging in the coordinates, we get:
slope = (4 - 2) / (5 - 1)
slope = 2 / 4
slope = 1/2
Therefore, the slope of the line passing through the points (1, 2) and (5, 4) is B: 1/2.
A rug is 1/2 yard by 2 5/6 yards.
Keith solves 1/2 times 2 5/6 to find the area of the rug in square yards.
Enter numbers to complete Keith's calculation for the area of the rug
Answers
The area of the rugs in square yards with given dimensions 1/2 yard by 2 5/6 yards is equal to 1 5 /12 square yards.
Dimensions of the rug are,
1/2 yard by 2 5/6 yards
Area of the rug in square yards solved by Keith is equal to
= 1/2 times 2 5/6
= ( 1/ 2 ) × ( 2 5/6 )
Convert mixed fraction into proper fraction we get,
2 5/6 = ( 6 × 2 + 5 ) / 6
⇒ 2 5/6 = 17 / 6
⇒ Area of the rug in square yards solved by Keith = ( 1 / 2 ) × ( 17 / 6 )
⇒ Area of the rug in square yards solved by Keith = ( 17 / 12 )
⇒ Area of the rug in square yards solved by Keith = 1 5 /12 square yards.
Therefore, the area of the rugs is equal to 1 5 /12 square yards.
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En el año 2018. Un electricista cobraba $10 000 por uno de sus trabajos. En la actualidad cobra $12 500 por el mismo trabajo. ¿En qué porcentaje aumentó su tarifa respecto de lo que cobraba en el año 2018?
Answers
The electrician's rate experienced a 25% increase compared to what he charged in the year 2018.
A percentage is a number or ratio expressed as a fraction of 100, used to indicate the portion of something in relation to its whole.
To find the percentage increase in the rate, we need to calculate the difference between the two rates and express it as a percentage of the original rate.
The difference between the two rates is
$12,500 - $10,000 = $2,500
To express this difference as a percentage of the original rate, we need to divide it by the original rate and then multiply by 100:
($2,500 / $10,000) x 100% = 25%
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Find the surface area of the figure shown.
Answers
The surface area of the given figure would be = 85,536cm²
How to calculate the surface area of the triangular prism?To calculate the surface area of the triangular prism the formula given below is used:
Surface area = bh ( b1+B2+b3)l
b = 9cm
h = 12cm
l = 22cm
b1 = 12
b 2 = 9
b 3 = 15
Surface area;
= 9×12( 12+9+15)22
= 108 × 36×22
= 85,536cm²
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Please help with this one :
Answers
Answer:
C. 40%
Step-by-step explanation:
There are 425 guests in all. Of these 425 guests, 170 called for room service.
170/425 = 34/85 = 2/5 = 40%
Solve for the value of z: \frac{14}{5} = \frac{\mathrm{z}}{25}
5
14
=
25
z
Answers
The value of z is 14.
What is the fraction?
A fraction is a mathematical representation of a part of a whole, where the whole is divided into equal parts. A fraction consists of two numbers, one written above the other and separated by a horizontal line, which is called the fraction bar or the vinculum.
To solve for z, we can start by cross-multiplying the fractions, which gives:
5z = 14 * 25
Simplifying the right side, we get:
5z = 350
Finally, we can solve for z by dividing both sides by 5:
z = 70/5
Simplifying the right side, we get:
z = 14
Therefore, the value of z is 14.
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The complete question:
Solve for the value of z: 14/5 = z/25
Ant killer is a poison that is designed to attack an ant hill from the inside out. Ants take the bait inside and
feed it to the colony. The function A(t) = 45000 (. 271)* represents the population of an ant colony after
ant Kiler has been applied. A(t) represents the remaining population and t is time in days. After how many days will there be less than 250 ants remaining in the colony?
Answers
It will take approximately 29 days for the ant population to drop below 250.
What is natural logarithm means ?The logarithmic function to the base e is called the natural logarithmic function and it is denoted by loge.
f(x) = loge x
To find out how many days it will take for the ant population to drop below 250, we need to solve for the value of t in the equation:
A(t) = [tex]45000*(0.271)^t[/tex]< 250
We can start by simplifying the equation:
[tex]45000*(0.271)^t[/tex]< 250
[tex](0.271)^t[/tex] < 250/45000
[tex](0.271)^t[/tex]< 0.00555556
Next, we can take the natural logarithm of both sides to isolate t:
ln[[tex](0.271)^t][/tex] < ln(0.00555556)
t*ln(0.271) < ln(0.00555556)
t > ln(0.00555556) / ln(0.271)
t > 28.32
Therefore, it will take approximately 29 days for the ant population to drop below 250.
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Divide. Write the missing
numbers.
62) 5,472
1
9
16
R
62 5 4 7 2
"
R
9
1 6
(Type whole numbers.)
Answers
we get the quotient as 161 and remainder as 11.So the missing numbers are:R = 11
9, 1, 6
What is long division method ?First divide the greater number by the smallest number and then divide the smaller number by the remainder. We continue the process until we get 0 remainder. The divisor is the HCF of the given numbers.
To divide 5,472 by a two-digit number, we can use long division method as follows:
34) 5 4 7 2( 34
- 4 0
______
1 4 7
- 1 3 6
_______
1 1
Therefore, we get the quotient as 161 and remainder as 11.
So the missing numbers are:
R = 11
9, 1, 6
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Multiply 13. 5 x 12. 1 using a regrouping strategy. Explain your answer and each step that you take
Answers
The product of 13.5 and 12.1 using a regrouping strategy is 163.35.
To begin with, we can start by breaking down each number into its place value components, which are the ones, tenths, and hundredths places. We can represent 13.5 as 13 + 0.5 and 12.1 as 12 + 0.1.
So, we can rewrite 13.5 as (10 + 3) + 0.5 and 12.1 as (10 + 2) + 0.1. Now, we can use the distributive property of multiplication to multiply 13.5 by 12.1 as follows:
13.5 x 12.1 = (10 + 3 + 0.5) x (10 + 2 + 0.1)
= 10 x 10 + 10 x 2 + 10 x 0.1
+ 3 x 10 + 3 x 2 + 3 x 0.1
+ 0.5 x 10 + 0.5 x 2 + 0.5 x 0.1
Next, we can simplify each of these products by multiplying the numbers in the ones and tenths places separately, and then adding the results. For example, 10 x 10 = 100, 10 x 2 = 20, 10 x 0.1 = 1, 3 x 10 = 30, and so on.
So, continuing from the previous step, we get:
13.5 x 12.1 = 100 + 20 + 1
+ 30 + 6 + 0.3
+ 5 + 1 + 0.05
Finally, we can add up all these products to get the final answer:
13.5 x 12.1 = 163.35
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Construct a two-way frequency table for the data. Include row and column totals. Hint: Let column categories be labeled by after school activity.
Every student at Georgia Southern Middle School participates in exactly one after school activity. The school activities coordinator recorded data on after extracurricular activity
and grade for all 254 students in 7th grade and 8th grade.
The counselor's findings for the 254 students are the following:
• Of the 80 students enrolled in music, 42 are in 7th grade.
.
. Of the 21 students enrolled in student government, 9 are in 8th grade.
.
Of the 65 students enrolled in theatre, 20 are in 7th grade.
. Of the 88 students enrolled in sports, 30 are in 8th grade.
Answers
Answer:
[tex]\begin{array}{|c|c|c|c|c|c|} \cline{1-6} & \text{Music} & \text{Gov} & \text{Theater} & \text{Sports} & \text{Total}\\\cline{1-6}\text{7th grade} & 42 & 12 & 20 & 58 & 132\\\cline{1-6}\text{8th grade} & 38 & 9 & 45 & 30 & 122\\\cline{1-6}\text{Total} & 80 & 21 & 65 & 88 & 254\\\cline{1-6}\end{array}[/tex]
"Gov" refers to "Student Government".
==================================================
Explanation:
The rows are labeled "7th grade", "8th grade" and "Total".
The columns are labeled "Music", "Student Government", "Theater", "Sports", and "Total".
I'll abbreviate "Student Government" to "Gov" so that the table doesn't get too wide.
There are 254 students total. This value goes in the bottom right corner of the table. This is the grand total.
----------
We have 80 students in music. This value goes at the bottom of the "music" column since we're in a "total" row. Basically it's the total of all the music students regardless of grade.
Of those 80 students in music, 42 are in seventh grade. Write 42 in the first row of this column and 38 just underneath it (because 80-42 = 38). The two values 42 and 38 should add to the 80 mentioned.
----------
There are 21 students in student government. This value goes at the bottom of the "student government" column.
9 of these students are in eighth grade, so the remaining 21-9 = 12 must be in seventh grade.
----------
There are 65 students in theater. This value goes at the bottom of the "theater" column.
There are 20 such students in 7th grade and 45 in 8th grade (because 65-20 = 45).
----------
There are 88 students in sports.
30 are in 8th grade, so 88-30 = 58 must be in 7th.
----------
At this point, you should have these values along the bottom row:
80, 21, 65, 88, 254
The first four values (80, 21, 65, 88) should add to the grand total 254.
Along each row, add up the values to get the row total.
7th grade: 42 + 12 + 20 + 58 = 132
8th grade: 38 + 9 + 45 + 30 = 122
There are 132 seventh graders and 122 eighth graders.
Those subtotals add to 132+122 = 254 total students, which helps confirm we did things correctly.
Miss Elder directs her class to find the area of the
Z in the sign for the City Zoo. A replica of the Z
is shown in the diagram. The work of two of
Miss Elder’s students is shown. Which student,
if either, is correct? Explain.
Answers
Both methods are valid and result in the same answer.
What is congruence in maths?In mathematics, the term "congruent" refers to figures and shapes that can be flipped or rearranged to match up with other ones. These forms can be mirrored to produce related shapes.
If two shapes are similar in size and shape, they are congruent. We can also state that if two shapes are congruent, then their mirror images are identical.
Both students are correct.
Student A divides the Z into 4 congruent right triangles and 2 rectangles. The area of the right triangles is found by multiplying the base and height and dividing by 2, while the area of the rectangles is found by multiplying the length and width. Adding the areas of all the shapes together, the total area of the Z is 32 square units.
Student B divides the Z into 3 congruent right triangles and 3 rectangles. The area of the right triangles is found by multiplying the base and height and dividing by 2, while the area of the rectangles is found by multiplying the length and width. Adding the areas of all the shapes together, the total area of the Z is also 32 square units.
Both methods are valid and result in the same answer.
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Please help solve this will give brainlyist
Answers
Segment CP is tangent to circle C at point B.
How to prove that the line is tangent to a circle?
Draw circle C with center at point A and radius AD = CD = DE.
Draw point P outside the circle C.
Draw segment AP and extend it to intersect the circle at point B.
Draw segment BD.
Draw segment CP.
Note that triangle BCD is isosceles, since CD = BD. Therefore, angle BDC = angle CBD.
Since angle BDC is an inscribed angle that intercepts arc BC, and angle CBD is an angle that intercepts the same arc, then angle BDC = angle CBD = 1/2(arc BC).
Since CD = DE, then angle CED = angle CDE. Therefore, angle DCE = 1/2(arc BC).
Since angles BDC and DCE are equal, then angles BDC and CBD are also equal, and triangle BPC is isosceles. Therefore, segment BP = segment PC.
Since BP = PC, then segment CP is perpendicular to segment BD, by the Converse of the Perpendicular Bisector Theorem.
Therefore, segment CP is tangent to circle C at point B.
Hence, the proof is complete.
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Only write the number.
Find VZ
Answers
Answer:
VZ = 72
XW = 48VW = 24YZ = 36VZ = ?
FINDING VZ:
XW / VW = VZ / YZ
48 / 24 = VZ / 36
*Simplify:
48 / 24 = VZ / 362 = VZ / 36*Multiply both sides by 36:
2 × 36 = VZ / 36 × 3672 = VZI don't know how's that even possible, but I did the same formula and solutions the pictures below show.
class scheduling enormous state university's math department offers two courses: finite math and applied calculus. each section of finite math has 90 students, and each section of applied calculus has 80 students. the department will offer a total of 170 sections in a semester, and 14,400 students would like to take a math course. how many sections of each course should the department offer in order to fill all sections and accommodate all of the students?
Answers
The department should offer 80 sections of finite math and 90 sections of applied calculus to fill all sections and accommodate all of the students.
Let x be the number of sections of finite math and y be the number of sections of applied calculus. Then we have:
x + y = 170 (total number of sections offered)
90x + 80y = 14400 (total number of students)
To solve for x and y, we can use elimination or substitution.
Let's use elimination by multiplying the first equation by 80 and subtracting it from the second equation:
90x + 80y = 14400
-80x - 80y = -13600
-----------------
10x = 800
x = 80
Now we can substitute x = 80 into either equation to solve for y:
80 + y = 170
y = 90
Therefore, the department should offer 80 sections of finite math and 90 sections of applied calculus to fill all sections and accommodate all of the students.
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lee had scored the following points in his first 8 games 12,14,14,15,8,10,3,15 enter the number of points lee needs to score in the nest game to increase his keam score to 13 points
Answers
Lee needs to score a total of 26 points in the next game to increase his mean score to 13 points.
Calculating the score in the next gameGiven that
Scores = 12,14,14,15,8,10,3,15
To increase his mean score to 13 points,
Lee needs to have a total of 13 x 9 = 117 points after the next game.
He has already scored a total of 12+14+14+15+8+10+3+15 = 91 points in the first 8 games.
Therefore, Lee needs to score a total of 117 - 91 = 26 points in the next game to increase his mean score to 13 points.
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33 children were asked to name their favourite drinks .19 like coke, 22 like orange soda,16 like lemonade.15 like orange soda and coke , 12 like coke and lemonade,10 like lemonade and orange soda . how many children do not like orange soda
Answers
There are 3 kids overall that don't like any of the drinks. Three kids don't like orange soda. Three youngsters in total dislike orange soda.
Describe inclusion-exclusion principle?The inclusion-exclusion principle can be stated mathematically as follows:
|A ∪ B ∪ C| = |A| + |B| + |C| - |A ∩ B| - |A ∩ C| - |B ∩ C| + |A ∩ B ∩ C|
where |A| denotes the size (number of elements) of set A, and ∪ and ∩ denote the union and intersection of sets, respectively.
The inclusion-exclusion principle can be used to determine how many kids dislike orange soda:
The sum of the number of children who enjoy Coke, Orange Soda, and Lemonade is equal to the number of children who enjoy all of these beverages. - The total number of kids who like orange soda and coke; - The total number of kids who like orange soda and lemonade; - The total number of kids who enjoy orange soda and lemonade; - The total number of kids who like all three beverages; - The total number of kids who don't like any of the drinks.
Let's change the values provided:
Total number of kids is calculated as follows: 19 + 22 + 16 + 15 + 12 + 10 + Kids who enjoy all three drinks + Kids who don't like any of the drinks.
We can add the number of kids who enjoy coke and orange soda, lemonade and orange soda, and coke and lemonade, and then deduct this total from the overall number of kids who enjoy all three drinks to determine the number of kids who enjoy all three drinks:
The total number of kids who enjoy all three drinks is equal to 15 + 10 + 12 - 2 kids who don't like any of the drinks.
Since the number of kids that like none of the drinks is not specified, we can utilise the 33 total kids to find the answer as follows:
Total children - (Total children who like coke + Total children who like orange soda + Total children who like lemonade - Total children who like coke and orange soda) = Total children who don't like any of the drinks. The total number of kids who enjoy coke and lemonade, the total number of kids who enjoy orange soda and lemonade, and the total number of kids who enjoy all three drinks.
33 - (19 + 22 + 16 - 15 - 12 - 10 + Total number of kids who enjoy all three drinks) is the total number of kids who prefer none of the drinks.
To find the number of kids that dislike orange drink, we can now enter all the values we calculated into the original equation.
The sum of the children's numbers is 19 + 22 + 16 - 15 - 12 - 10 + the number of kids who enjoy all three drinks plus the number of kids who don't like any of the drinks.
33 is equal to 19 + 22 + 16 - 15 - 12 - 10 + (15 + 10 + 12 - 2 is the total number of kids who don't like any of the beverages) + Total kids who don't like any of the drinks.
When we simplify this equation, we obtain:
There are 3 kids overall that don't like any of the drinks.
Three kids don't like orange soda, so there.
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a cylinder has a diameter of 10 units and a height of 20 inches what is the volume
Answers
Therefore , the solution of the given problem of volume comes out to be the cylinder has a volume of roughly 1570.796 cubic units.
What does volume mean exactly?The volume of a three-dimensional item, which is measured in cubic units, describes how much room it occupies. Liter and in3 are the signs for cubic measurements. However, in order to determine an object's dimensions, you must also be aware of its volume. It is common practise to convert the weight of an object into weight units like grammes and kilogrammes.
Here,
The following formula can be used to determine a cylinder's volume:
Volume =π * r² * h.
where r is the cylinder's radius and h is its height, and (π) is a mathematical constant roughly equal to 3.14159.
The radius (r) of a cylinder with a diameter of 10 units would be equal to 10/2, or 5 units, which is the diameter.
We can now enter these numbers into the formula to determine the volume given that the cylinder's height (h) is 20 inches:
=> Volume = π * (5)² * 20
=> Volume = 3.14159 x 25 / 20.
(Rounded to three decimal places)
=> Volume: 1570.796 cube units
Therefore, the cylinder has a volume of roughly 1570.796 cubic units.
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Kiran swims z laps in the pool. Clare swims 18 laps, which is 95
times as many laps as Kiran. How many laps did Kiran swim?
Answers
Answer:
Therefore, Kiran swam approximately 0.189z laps in the pool.
Step-by-step explanation:
Let's assume the number of laps Kiran swims to be "x".
From the given information, we know that Clare swims 95 times as many laps as Kiran. Therefore, we can write an equation:
18 = 95x
To solve for x, we can isolate it by dividing both sides of the equation by 95:
x = 18/95
x = 0.189
Interpret the probability. In 100 trials of this experiment, it is expected about (Round to the nearest whole number as needed.) to result in exactly 15 flights being on time
Answers
Hence, it is expected that 14 flights will arrive on time out of the 100 trials of this experiment.
What is the probability?The probability of an occurrence is a number used in mathematics to describe how likely it is that the event will take place. In terms of percentage notation, between 0% and 100% it is expressed as a number between 0 and 1, or . The higher the likelihood, the more likely it is that the event will take place.
What is the trials?when we refer to an experiment or trial, we mean a random experiment. When difference between a trial and an experiment, think of the experiment as a larger entity created by the fusion of several trials.
Unless otherwise stated,A trial is any specific outcome of a random experiment. In other words, a trial of the experiment is what we call when we conduct an experiment.
according to question, the number of on-time flights in 100 trials as a binomial random variable with parameters n = 100 (the number of trials) and p (the chance of success, i.e., a flight being on time), presuming that the probability of a flight being on time is the same in all trials.
The expected number of on-time flights in 100 trials is E(X) = np if the same of a flight being on time is p. Given that E(X) = 15, we determine p ,
E(X) = n p = 15 n = 100
p = [tex]\frac{E(X)}{n} = \frac{15}{100}[/tex] = 0.15
Therefore, it is probability that 0.15 %of flights will arrive on time.
To determine the expected number of trials from a total of 100
Using the probability mass function of the binomial distribution, we can get the expected probability of trials out of 100 that result in precisely 15 flights departing on time:
[tex]P(X = 15)=(100 choose 15) * 0.15^{15} * 0.85^{85}[/tex]
We can calculate this 0.144 get using a calculator.
therefore it is expected that 14 flights will arrive on time out of the 100 trials of this experiment. It should be noted that while this is an expected value, random fluctuation may cause the actual number of on-time flights in each trial to deviate somewhat from this figure.
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a right triangle has a hypotenuse 2.9 feet long and one of its sides is 2.2 feet long. how long is the other side?
Answers
The length of the other side of the right triangle is approximately 1.89 feet.
The length of the other side of the right triangle can be found using the Pythagorean theorem, which states that the square of the hypotenuse is equal to the sum of the squares of the other two sides. Therefore, we have:
(Length of other side)² = (Hypotenuse)² - (Length of given side)²
(Length of other side)² = (2.9)² - (2.2)²
(Length of other side)² = 8.41 - 4.84
(Length of other side)² = 3.57
Taking the square root of both sides, we get:
Length of other side = sqrt(3.57) ≈ 1.89 feet
Therefore, the length of the other side of the right triangle is approximately 1.89 feet.
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GEOMETRY: TRIGONOMETRIC RATIOS
How tall is the tree?
A) 50 feet
B) 70 feet
C) 20 feet
D) 30 feet
Answers
The height of the tree shown in the triangle is 20 feet.
What is trigonometric ratios?Trigonometric ratios show the relationship between the sides and angles of a right angled triangle.
Some examples of trigonometric ratios are:
TanФ = Opposite / Adjacent; sinФ = Opposite / Hypotenuse and CosФ = Adjacent / Hypotenuse
Given that from the diagram:
tan(Ф) = 20/50
The height of the tree is 20 feet.
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Questions 1
Questions 2
A.>
B.<
C.=
Questions 3
Questions 4
Questions 5
A.>
B.<
C.=
Answers
The sum of 5/6 and 2/9 is: C. 1 1/18.
The sum of 1/2 and 2/3 is 7/6.
The fraction of the boys that have either blue or hazel eyes is: B. 1/2.
The sum of 7/10 and 1/4 is: D. 19/20.
The sum of 3/5 and 1/5 is 11/10.
What is a fraction?In Mathematics and Geometry, a fraction simply refers to a numerical quantity (numeral) which is not expressed as a whole number. This ultimately implies that, a fraction is simply a part of a whole number.
Based on the information provided above, each of the sums can be calculated as follows;
Fraction = 5/6 + 2/9
Fraction = (15 + 4)/18
Fraction = 19/18 = 1 1/18.
Fraction = 1/2 + 2/3
Fraction = (3 + 4)/6
Fraction = 7/6
Fraction = 1/5 + 3/10
Fraction = (2 + 3)/10
Fraction = 1/2
Fraction = 1/4 + 7/10
Fraction = (5 + 14)/20
Fraction = 19/20
Fraction = 3/5 + 1/2
Fraction = (6 + 5)/10
Fraction = 11/10
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What is 219.8 rounded as indicated
Answers
Answer:
8 is closer to 10, so 219.8 rounded is 220.
find the equation that is parallel to the line y=x+9 and passes through the point (-6,7).Write the equation in slope intercept form
Answers
Answer: -1
Step-by-step explanation:
First, determine your slope from the given equation y = x - 6
In slope intercept form: y = mx + b, the value for m is the slope.
By looking at "x", there is a coefficient of 1 and therefore 1 is the slope.
Since parallel lines have the same slope, use the slope 1 to rewrite a second eqaution using
the point-slope formula: y - y1 = m(x - x1) and the given point (-6,7)
y - y1 = m(x - x1)
y - (7) = 1 (x - (-6)) (Plug in values)
y -7 = 1(x +-6) (Distribute negatives)
y -7 = -1x -6 (Distribute 1 to both terms in the parentheses)
+ 6 +6 (add 6 from both sides)
y = 1x - 1 OR y = x - 1
Check your work by plugging in the given point to your equation:
y = x - 1
6 = 7 - 1 (Plug in values)
7 = 7
11. Jessica is focusing on wrestling this semester. What category does this sport fall into?
Answers
The Correct Answer Is: High-strength sports.
explanation:
Because for wrestling you have to use, you're strength. (And I just did the exam and I got it wrong for choosing the wrong answer, so I believe it's my answer. !!so, it's not high-power sports)
I hope it helps you!
:)
Hungry Harry is a giant ogre with an appetite that fluctuates throughout the day. H(t) models the weight
of sheep (in kg) that Harry would like to swallow t hours after he wakes up. Here, t is entered in radians.
H (t) = 12 sin (2/24t) +15
What is the second time after Harry wakes up that he feels like consuming 17 kg of sheep?
Round your final answer to the nearest tenth of an hour.
Answers
The second time when harry feel like consuming 17 kg of sheep after he wakes up is equal to 39.7 hours ( round to nearest tenth of an hour).
Function is equal to
H (t) = 12 sin (2/24t) +15
Where H(t) models the weight of sheep in kg that Harry like to swallow in 't' hours after wakes up.
't' in radians.
Harry wants to consumes 17kg
⇒ H(t) = 17 for t.
Substituting the given expression for H(t), we get,
⇒ 12 sin(2/24 t) + 15 = 17
⇒ 12 sin(2/24 t) = 2
⇒ sin(2/24 t) = 1/6
⇒ 2/24 t = sin^(-1)(1/6)
We know that sin^(-1)(1/6) = 0.167
Substitute the value we get,
⇒ t = 12 × 0.167
⇒ t = 2.004 radians
This gives us the first time after Harry wakes up that he feels like consuming 17 kg of sheep.
For the second time,
Add one full period to the first time, since the function H(t) has a period of 12π/2 = 6π.
The second time is,
t = 2.004 + 6π
= 2.004 + 6×3.14
= 20.844 radians
To round to the nearest tenth of an hour,
Since there are 12 hours in a full revolution.
Convert radians to hours by dividing by 2π and then multiplying by 12.
t = 20.844/(2π) × 12
= 3.31 × 12 hours
= 39.69
= 39.7 (rounded to the nearest tenth)
Attached graph.
Therefore, the second time after Harry wakes up that he feels like consuming 17 kg of sheep is approximately 39.7 hours after he wakes up.
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help me please help answer the question below Do not round
Answers
Answer:
0.1296
Step-by-step explanation:
0.6*0.6=0.36
0.6*0.36=0.216
0.6*0.216=0.1296
could you help me get the y intercept too
Answers
The slope =2 and y-intercept = -3.
What is slope?
Calculated using the slope of a line formula, the ratio of "vertical change" to "horizontal change" between two different locations on a line is determined. The difference between the line's y and x coordinate changes is known as the slope of the line.Any two distinct places along the line can be used to determine the slope of any line.
Here let us take two points [tex](x_1,y_1)=(1.5,0) , (x_2,y_2)=(0,3)[/tex] .
Now using slope formula then,
Slope m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
=> m = [tex]\frac{3-0}{0-1.5} = \frac{3}{-1.5}=2[/tex]
Now using equation formula then,
=> [tex]y-y_1=m(x-x_1)[/tex]
=> y-0=2(x-1.5)
=> y = 2x-3
Here y=mx+b, where b= y-intercept.
Hence slope =2 and y-intercept = -3.
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The hypotenuse of a right triangle measures 8 cm and one of its legs measures 4 cm. Find the measure of the other leg.
Answers
Answer:
[tex]4\sqrt{3}[/tex] cm
Step-by-step explanation:
We can use the Pythagorean Theorem to answer this question. Recall that the Pythagorean Theorem is:
[tex]a^2+b^2=c^2[/tex]
where a is the length of a leg, b is the length of the other leg, and c is the length of the hypotenuse.
We are given the hypotenuse (8 cm) and one of the legs (4 cm). Substitute the values and solve for the unknown.
[tex]a^2+b^2=c^2=\\4^2+b^2=8^2=\\16+b^2=64=\\b^2=48=\\b=\sqrt{48} =\\b=\sqrt{16}*\sqrt{3} =\\ b=4\sqrt{3}[/tex]
Therefore, the measure of the other leg is equal to [tex]4\sqrt{3}[/tex] cm.
Ralph has 3/4 gallons of paint. He wants to store all of the paint equally among 5 containers. How much paint, in gallons, will Ralph store in each container?
Answers
Ralph will store 3/20 gallons of paint in each container.
Explain gallons
Gallons are a unit of measurement commonly used for liquids, especially in the United States. One gallon is equal to 128 fluid ounces or approximately 3.785 liters. It is used to measure the volume of liquids such as gasoline, milk, and water, and is often used in cooking, construction, and manufacturing industries.
According to the given information
To divide 3/4 gallons of paint equally among 5 containers, we need to perform the division (3/4)/5:
(3/4)/5 = 3/4 × 1/5 = 3/20
Therefore, Ralph will store 3/20 gallons of paint in each container.
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Answer:
Step-by-step explanation
To find the answer you would have to divide 3/4 gallons of paint equally among 5 containers, we need to perform the division (3/4)/5:
(3/4)/5 = 3/4 × 1/5 = 3/20
Ralph will store 3/20 gallons of paint in each container.
