Answe
G=1.5
Step-by-step explanation:
See the picture below, please
Answer:
n is 1/3
Step-by-step explanation:
if u solve the problem normally then it gives 0/0 form so
x(2x^2-1)/3x cross out the numerator and denominator x and x from 3x then keep 0 in place of x.
(2 x 0 ^2-1)/3 = -1/3
since the function is continuous at x = 0 so n = -1/3
A person's systolic blood pressure, which is measured in millimeters of mercury (mm Hg), depends on a person's age, in years. The equation
p=0.007y^2-0.003y+122
gives a person's blood pressure, p,at the age y year
A.) Find the systolic pressure, to the nearest tenth of a millimeter, for a person of age 41 years.
The systolic pressure, to the nearest tenth of a millimeter, for a person of age 41 years is; 133.6 mm Hg
How to solve problems using quadratic equations?We are given the equation that gives a person's blood pressure, p at the age y year is;
p = 0.007y² - 0.003y + 122
To find the systolic pressure for a person of age 41 years, just plug in y = 41 into the given quadratic equation to get;
p(41) = 0.007(41)² - 0.003(41) + 122
p(41) = 11.767 - 0.123 + 122
p(41) = 133.6
Thus, the systolic pressure, to the nearest tenth of a millimeter, for a person of age 41 years is; 133.6
Read more about Quadratic Equations at; https://brainly.com/question/1214333
#SPJ1
refer to the image please
Two angles are complementary if their sum is 90°. A larger angle measures three degrees less than
twice the measure of the smaller angle. If x represents the measure of the smaller angle and these two
angles are complementary, find the measure of each angle.
Answer:
31 and 59
Step-by-step explanation:
We can figure this out by putting the words into an equation
"three degrees less than twice the measure of the smaller angle"
we know the smaller angle = x, so:
twice the smaller angle=2x
3 degrees less=-3
you then put those into an equation where they all add up to equal 90 and simplify
x+2x-3=90
3x-3=90
3x=93
x=31
you then plug that into the equation we would have for the second angle:
2x-3
2(31)-3
62-3
59
the first angle would be 31 and the second angle would be 59
:D
For a rectangle with a perimeter of 20 cm, the width of the rectangle is one-third its length. Use an equation to find the length and width of the rectangle.
Answer:
Step 1. The perimeter P means adding up all four sides of a rectangle.
Step 2. Let w be the width
Step 3. Let 3w be the length since the width is one-third the length
Step 4. Then P=w+w+3w+3w=8w=20 since the perimeter P is 20 cm.
Step 5. Solving the equation in Step 4 leads to the following steps
Divide by 8 to both sides of the equation
8w%2F8=20%2F8
w=5%2F2 and 3w=15/2 and P=2(5/2+15/2)=20 which is a true statement.
Step 6. ANSWER: The width is 5/2 cm.
Step-by-step explanation:
I hope the above steps and explanation were helpful.
Find the area of the triangle. Show your reasoning. If you get stuck, carefully consider which side of the triangle to use as the base.
The area of the triangle is found as 12 unit².
What is defined as the triangle?A triangle is a three-sided polygon with three sides that closes a space.
The three sides are formed by lines, line segments, or rays (in just about any combination). Three vertices, or corners, are formed if three sides form or meet.A triangle's height or altitude is calculated by drawing a perpendicular line through one side to the opposite angle.The base is the side with which the altitude intersects wherever it is built.The formula for the area of the triangle is;
Area of triangle= ½ × base × height
The base is given as 6 units and the height is 4 units. (count 1 column of graph as 1 unit).
Put the values in formula.
Area of triangle = ½(6)(4)
Area of triangle = 12 unit.²
Therefore, the area of the triangle is found as 12 unit.²
To know more about the triangle, here
https://brainly.com/question/17335144
#SPJ9
Some one pls help me will give Brainly
Answer:
100 miles
Step-by-step explanation:
We need to read the graph to determine the answer.
The input is 10 hours
Using the x, go up until you hit the red line and read the y value
The y value is 100 miles
This question: Submit Fritz plans to fence off a square feed lot and then cross-fence to divide it into four smaller feed lots. If he uses 924 feet of fencing, then how much area will be fenced in?
Answer:
23,716 ft
Step-by-step explanation:
Let the side length of each of the four smaller lots be s.
Then, Fritz will use 12s feet, which is equal to 924.
This means s=77.
This means the area of each smaller square is 77²=5929, and thus the total area is 23,716 ft.
A garden table and a bench cost $783 combined. The garden table costs $83 more than the bench. What is the cost of the bench?
Answer:
$350
Step-by-step explanation:
Let the cost of the bench be x. Then, the cost of the table is x+83.
[tex]x+x+83=783 \\ \\ 2x+83=783 \\ \\ 2x=700 \\ \ x=350[/tex]
The total cost is,
→ $783
Let the cost of garden table be,
→ x + $83
Then the cost of bench will be,
→ (x + 83) + x = 783
→ 2x + 83 = 783
→ 2x = 783 - 83
→ x = 700/2
→ [ x = $350 ]
Hence, the cost of bench is $350.
Please do it for me Im struggling a lot right now with math
Answer: wait what is the question asking i can’t really see
Step-by-step explanation:
Guys I need help pls tell me the remainder too
Answer:
0.12245454545 (Quotient = 0 Remainder = 2.694)
Step-by-step explanation:
Divide 2.694 by 22. The quotient is 0 with a remainder of 2.694
Please like this or rate it if helpful :)
4.
The table shows the average speed of
several animals. Sort the animals into the
appropriate bins by their average speed in
miles per hour. 7.RP.3
Domestic Cat
Rabbit
Average Speed,
less than 30 mph
Human
Animal
Domestic Cat
Human
Rabbit
Average Speed,
equal to 30 mph
Name:
Average Speed
44 feet per second
2,464 feet per minute
616 inches per second
Average Speed,
greater than 30 mph
LP2
Based on their average speed in miles per hour, into the proper containers. Domestic Cat Rabbit Speed, less than 30 mph on average
Domestic Cat Human Rabbit Human Being
An average speed of 30 mph
44 feet per second is the average speed
2.464 ft per second
Inches per second at 616
Greater than 30 mph for the average speed
LP2The average speed is the total distance traveled by the object in a particular time interval. The average speed is a scalar quantity. It is represented by the magnitude and does not have direction.
270 miles.
The plane will go 270 miles in 3/4 of an hour, or 3/4 of 360 miles.
To learn more about average speed,
Visit : https://brainly.com/question/19208833
#SPJ9
I need help again please
Answer:
7/10, 12/40, 2/20, -10
? : 24 = 21:14 I need help I need to finish this math packet by today
find the value of x
Answer:
102°
Step-by-step explanation:
540° ÷ 5 = 108° (sum of angles in a 5-sided figure = 540°)
360° ÷ 4 = 90° (sum of angles in a square = 360°)
180° ÷ 3 = 60° (sun of angles in a triangle = 180°)
360° - 108° - 90° - 60° = 102° (angles at a point add up to 360°)
x = 102°
(Do note that dividing the sum of angles by the number of sides is only applicable if all sides are equal.)
Hope this helps! ^^
In a salad recipe, the ratio of carrots to broccoli must remain constant. The table below shows some possible combinations of carrots and broccoli.
Salad Ingredients
Carrots
Broccoli
3
9
4
12
6
18
7
21
If only whole vegetables can be used, what is the fewest number of vegetables that can be used to make this salad?
A.1
B.3
C.4
D.12
Using a proportional relationship, the fewest number of vegetables that can be used to make this salad is:
C. 4
What is a proportional relationship?A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:
y = kx
In which k is the constant of proportionality.
For this problem, looming at the table, we have that the number of Broccoli is triple the number of carrots, hence the proportional function is:
B = 3C.
When there is one carrot, the number of broccoli is given by:
B = 3 x 1 = 3.
Hence the fewest number of vegetables is of 4, as 1 carrot + 3 broccoli = 4 vegetables, hence option C is correct.
More can be learned about proportional relationships at https://brainly.com/question/10424180
#SPJ1
you have earned $151.00 with coins that are $2.00 and $5.00. How many coins of each will you have if you have a total of 47 coins?
The coins are 19 and 28 each
How to calculate the number of coins ?Let x represent the first coin and let y represent the second coin
x + y= 47.....equation 1
2x + 5y= 151.......equation 2
From equation 1
x + y= 47
x= 47-y
Substitute 47-y for x in equation 2
2(47-y) + 5y= 151
94 - 2y + 5y= 151
collect the like terms
94 + 3y = 151
3y= 151 - 94
3y= 57
y= 57/3
y= 19
Substitute 19 for y in equation 1
x + y = 47
x + 19 = 47
x= 47-19
x= 28
Hence the coins are 19 and 28 each
Read more on equation here
https://brainly.com/question/17122564
#SPJ1
Sarah’s neighbor offers to pay her $5 for every shark tooth she finds on the beach. After collecting only three shark’s teeth, Sarah decides to share the opportunity with her friend John. Sarah can find shark teeth twice as fast as John, but she can earn even more money with his help.
Sarah can use the expression 5(2j + 3 + j) to represent the amount of money she can earn.
Part 1: Writing Expressions
Write an expression that looks like Sarah’s expression: 5(2j + 3 + j). Replace the coefficients so that your expression is not equivalent. You may use any number that you choose to replace the coefficients. Be sure to leave the variables the same. For example, 8(3j + 7 + 3j) looks like Sarah’s expression but is not equivalent.
Translate the algebraic expression you created in Question 1 to a verbal expression.
Answer:
4(3j + 4 + j) the amount of money sarah can make is (3 Js plus 4 plus J) times 4
Step-by-step explanation:
pleaseeee helppppp will give extra points
In Euclidean geometry, the interior angles of any triangle add up to 180 degrees. Does this rule apply to triangles in spherical geometry? If not, is there another value that they would always sum to? Explain your answer.
The triangles are subject to this law. If another number were present, their sum would always be greater than 180 degrees.
What is geometry?It is defined as the branch of mathematics that is concerned with the size, shape, and orientation of two-dimensional figures.
It is given that:
In Euclidean geometry, the interior angles of any triangle add up to 180 degrees.
As we know,
Spherical trigonometry, which departs from conventional trigonometry in many ways, is created when angles between great circles are defined.
For instance, the total of the sides and angles of a hemispheric triangle is more than 180 degrees.
In spherical geometry, triangles are subject to this law. If another number were present, their sum would always be greater than 180 degrees.
Thus, the triangles are subject to this law. If another number were present, their sum would always be greater than 180 degrees.
Learn more about geometry here:
brainly.com/question/16836548
#SPJ1
Graph the linear equation.
x - 2y = - 2
The graph of the linear equation can be seen in the image below.
How to graph the linear equation?Here we have the linear equation:
x - 2y = -2
To graph it, we need to find two points that belong to the line, and then we can graph these and connect them with a line.
If x = 0, we have:
0 - 2y = -2
y = -2/-2 = 1
if x = 1 then:
1 - 2y = -2
1 + 2 = 2y
3 = 2y
3/2 = y
Then we have the points (0, 1) and (1, 3/2), now just graph these points on a coordinate axis and then connect them with a line, we will get:
If you want to learn more about linear equations:
https://brainly.com/question/1884491
#SPJ1
By the Empirical Rule, how many students in a class of 200 would score within the range μ ± 2σ ?
The number of students that score within the range μ ± 2σ is; 190 students
How to use the empirical rule of statistics?
The empirical rule is a tool for finding the ranges that are 1 standard deviation, 2 standard deviations, and 3 standard deviations from the mean, in which you'll find 68, 95, and 99.7% of the normally distributed data respectively.
This means that 2 standard deviations from the mean would indicate that 95% of the students would score within the given range.
Thus, number of students that score within the range μ ± 2σ is;
95% * 200 = 190 students
Read more about Empirical Rule of Statistics at; https://brainly.com/question/10093236
#SPJ1
A submarine was a number of feet, f, below sea level. The submarine ascended to an elevation
of 0 feet above sea level. What must be true about the number of feet the submarine ascended?
The number of feet the submarine ascended is the same as the number of feet f below sea level.
What is a number line?A number line is a straight line with a zero point in the middle and positive and negative numbers listed on either side of zero and going on indefinitely.
We have,
The submarine is at feet f below sea level.
We represent the distance below sea level by a negative number.
We represent ascended by a positive number.
So the distance traveled by submarine is:
= Distance below sea level + Distance ascended
= (-f) + distance ascended
We have,
The submarine ascended to 0 feet above sea level.
This means,
The distance traveled by submarine = 0
Distance below sea level + Distance ascended = 0
(-f) + Distance ascended = 0
Distance ascended = f
Thus the number of feet the submarine ascended is same as the number of feet f below sea level.
Learn more about number line here:
https://brainly.com/question/619161
#SPJ1
there is a stack of old algebra books in the library. Each book is 1 1/4 inches thick. let b represent the number of books in a stack and s(b) represent the total height of the stack in inches. what is the equation?
The equation which represents the height of the books is [tex]s(b)=\frac{5}{4} b[/tex]
A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions. An equation between two sums of monomials of degree 0 or 1 is known as a linear equation.
The books are stacked one above the other and each book is [tex]1\frac{1}{4}[/tex] inches thick.
So to calculate the total height of the stack we have to multiply the number of books in the stack with the thickness of each book.
The total thickness is represented in the from of a function as
s(b) and the thickness of each book is [tex]1\frac{1}{4}=\frac{5}{4}[/tex] inches
total height=[tex]\frac{5}{4}\times b[/tex]
Therefore the required equation is [tex]s(b)=\frac{5}{4} b[/tex].
To learn more about an equation:
https://brainly.com/question/10413253
#SPJ9
If AB=8x+2 and BC=4x+18 find AC
We get that value of AC after adding AB and BC as 12 x + 20.
We are given that:
AB = 8 x + 2 and BC = 4 x + 18
We need to find AC.
For this, we will add AB and BC.
Adding AB and BC, we get that:
AB + BC = AC
Substituting the values of AB and BC in the equation which are given to us:
AC = 8 x + 2 + 4 x + 18
Combining the like terms, we get that:
AC = 12 x + 20.
Therefore, we get that value of AC after adding AB and BC as 12 x + 20.
Learn more about addition here:
https://brainly.com/question/25421984
#SPJ9
Which is true?
5/4 > 5/6
3/3 > 4/3
3/3 < 3/6
Answer:
5/4 > 5/6
Step-by-step explanation:
What is 9.06 divided by 9?
2/3 miles in 10 mins what distance traveled in an hour
Answer
4 miles
Step-by-step explanation:
The distance traveled in an hour if a person travels at 2/3 miles in 10 mins is 4 miles.
In order words, the total distance which is travelled in one hour if a person travels a journey of 2/3 miles in 10 mins is 4 miles.
RatioThe ratio of the parameters given from the above is given below:
2/3 miles in 10 mins
Convert hour to minutes:
1 hour = 60 minuteslet
Distance travelled in an hour = xEquate ratio of distance to time taken
2/3 : 10 = x : 60
2/3 ÷ 10 = x / 60
2/3 × 1/10 = x/60
2/30 = x/60
cross product2 × 60 = 30 × x
120 = 30x
divide both sides by 30x = 120 / 30
x = 4 miles
Therefore, the distance traveled or covered in an hour if a person travels at 2/3 miles in 10 mins is 4 miles.
Learn more about ratio:
https://brainly.com/question/2328454
#SPJ1
A passbook savings account has a rate of 10%. Find the effective annual yield, rounded to the nearest tenth of a percent, if the interest is compounded monthly.
Effective Annual Yield : 10.5%
Effective Annual Yield
In the case of monthly there are 12 months in a year. Therefore, making n=12. So, the effective annual yield if the interest 10% is compounded monthly is given as r=10, n=12;
[tex]Y= (1 +\frac{r}{n}) ^{n}-1 = (1 +\frac{0.1}{12}) ^{12}-1\\ =(1 +0.00833) ^{12}-1\\ =(1.00833) ^{12}-1\\ = 1.10466 -1\\ = 0.10466[/tex]
But, this is decimal form, to convert it to the percentage form we have to multiply the decimal form by 100 and finally, place "%" after the last digit of the number. That is,
Y= 0.10466× 100%
Y=10.46% or 10.5%
Effective Annual Yield : 10.5%
|3x| = 11.4 absolute value of X
Step-by-step explanation:
The absolute value of x is g(x)=f(x)+k.