Answer:
Weight change per week = -0.875 or -7/8
Step-by-step explanation:
Sara recorded her dog's weight change as -3.5 pounds after 4 weeks of dieting. We know the weight loss is consistent each week, so we need to find out how much the dog loses in one week.
To find out the weight change per week, we can use the formula:
Weight change per week = Total weight change / Total number of weeks
Plugging in the known values:
Weight change per week = -3.5 / 4
Weight change per week = -0.875
The dog loses 0.875 pounds each week.
or -0.875 pounds is the weekly weight change of the dog during the dieting period.
How do you explain irrational numbers to children?
The irrational numbers to children can be explained as the numbers that can be written as a nonrepeating or nonterminating decimal .
What are Irrational Numbers ?
The real numbers that can be represented as a nonrepeating or a nonterminating decimal but not as a fraction, and the decimal that goes on forever without repeating.
For Example : [tex]\sqrt{2} , \sqrt{5} , \sqrt{7}[/tex] are few example of irrational numbers .
In simpler words : the irrational number is a number that is not rational. which means It is a number which cannot be written as a ratio of two integers or cannot be written as fraction.
and If a fraction has a 0 in the denominator , it is an irrational number .
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Look at the student solution shown. What was done correctly? What was done incorrectly? Explain and identify the correct answer.
Carlos accepts a new job with a starting salary of $46,000. He will earn a 5% increase after each year. What will be his salary after 3 years?
$46,000 • 1.05 • 3 = $144,900 is Carlos’ salary after 3 years.
Answer:
What he did right was doing the first part correctly, wher it;s 46000x1.05, which is 48300. But then the student thought that every year, Carlos' salary will increase by 48300, and after 3 years it got to 144900, which is nuts. The real thing is to do 46000 x 1.15, because on the 3rd year, your salary will be 115% of your salary, if that makes sense, you do 5x3 = 15, then you add 15% to 100 which is 115 % =1.15. then you do 46000x1.15= 55545$
hope that answers your question
comment if your confused about something.
Step-by-step explanation:
Salary after 3 years of increment by 5% annual rate is given as $53,250.
Carlos accepts a new job with a starting salary of $46,000. He will earn a 5% increase after each year. What will be his salary after 3 years.
It is defined as the fee you pay to borrow money or the fee you levy to lend money. Interest is considerable and frequently recalled as an annual percentage of the amount of a loan. This percentage is known as the interest rate on the loan.
Incorrect solution,
$46,000 • 1.05 • 3 = $144,900 is Carlos’ salary after 3 years.
Correct solution,
Principal amount = $46,000
rate of increase in salary each year = 5%
After t = 3 years what will be the salary = ?
following identity is used to calculate the increments in principal amount.
[tex]Amount = principal(1+r)^t[/tex]
[tex]Amount = 46000(1+0.05)^3\\Amount = 46000(1.05)^3\\[/tex]
Amount = 456000 * 1.16
Amount = 53,250
Thus, salary after 3 years of increment is given as $53,250.
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Find the area of the circle shown. Use 3.14 as an approximation for T. Round your answer to the nearest tenth.
Here the exact values of circle is not given.so in general .Area of Circle = πr² or πd2/4 in square units, where (Pi) π = 22/7 or 3.14.
How to find the Area of Circle?The space a circle takes up in a two-dimensional plane is known as the area of the circle. Alternately, the area of the circle is the area included inside the circumference or perimeter of the circle. A = r2, where r is the circle's radius, is the formula for c
Area of Circle = πr2 or πd2/4 in square units, where (Pi) π = 22/7 or 3.14. Pi (π) is the ratio of circumference to diameter of any circle. It is a special mathematical constant.
Area of Circle:
[tex]\pi[/tex]×r²
Where [tex]\pi[/tex]=3.14
But Here we need correct values to find the area of the circle.
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In the figure above AB = 4x + 6 and BC = 7x + 15. If AC = 120, find the length of segment AB.
Answer:
x = 9
Step-by-step explanation:
AB = 4x + 6 and BC = 7x + 15 AC is the sum of AB and BC
so 4x + 6 + 7x + 15 = 120 add like terms
11x + 21 = 120 subtract 21 from both sides
11x = 99 divide both sides by 11
x = 9
What is (4x-3)(7x+6)?
Answer:
28x^2+3x-18
Step-by-step explanation:
Formula: (a+b)(a+b) = a^2 + a*b + a*b + b*b
Following this: 28x^2 -21x +24x -18
Then you combine like terms: 28^2 +3x-18
hope this helped!! :)
Answer:
[tex]28x^{2} + 3x - 18[/tex]
Consider the following linear program.
Max 1A + 2B
s. T.
1A ≤ 6
1B ≤ 5
2A + 2B = 14
A, B ≥ 0
For the provide inquilty problem,
a) The feasible region lies in between the following equations,
On or below the line y = 5On or to the left of the line x = 6On or above the y-axis i.e, y = 0On or to the right of the x-axis, x=0 On the linear line 2x + 2y = 14b) The extreme points of feasible region are (2,5) , (6,1) ,(0,0),(6,0),(0,5).
Let consider, x = A and y = B, this changes your inequalities and equations as follows: Maximize x + 2y, such that:
x ≤ 6
y ≤ 5
2x + 2y = 14
x,y ≥ 0
We use graphical method, for getting the solution of problem. So, first change the Inequalities into equality equations.
x = 6y = 52x + 2y = 14x = 0y = 0we would then find the region of feasibility by looking at the areas on the graph that satisfy the inequalities and equations,
x ≤ 6
y ≤ 5
2x + 2y = 14 (this is an equation)
x ≥0
y ≥ 0
a) The graph will look like as present above : we can see that the feasible region is the area on the graph that is:
on or below the line y = 5
on or to the left of the line x = 6
on or above the line y-axis , y = 0
on or to the right of the x-axis, x = 0
on the line 2x + 2y = 14
This says is that your solution has to be on the line of 2x + 2y = 14, have an x-coordinate that is greater than or equal to 0 and less than or equal to 5 and have a y-coordinate that is greater than or equal to 0 and less than or equal to 5. The maximum or minimum value should be at the corner points of the feasible region.
b) The corner points would be at (x,y) = (2,5) and (x,y) = (6,1). Also, plotted some other points on the line just to show the max/min value of function on the corner points of the feasible region.
(2,5) = 12
(4,3)= 10
(3,4) = 11
(6,1) = 8
the maximum solution is at the coordinate of (2,5) and all of your constraints have to be satisfied at the this point. The solution is that the maximum value is when x = 2 and y = 5, that is one of the corner points of the feasible region.
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Complete question:
Consider the following linear program:
Max. 1A+2B , s.t.
1A ≤6
1B≤5
2A+2B=14
A,B>0
a. Show the feasible region.
b. What are the extreme points of the feasible region?
Help with this question
Answer: A. X=4
Step-by-step explanation:
Since the line is on the X axis you can see its touching x,4 y,0
How many ways can a teacher choose three students from a class of 19 to go to the office and pick up a package?
Answer:
6.333... but you would have 6.3 with a line over the 3
Step-by-step explanation:
19 divided by 3
write a verbal expression for the algebraic expression
please help
A verbal expression for the given algebraic expression are as follows:
10. The product of a and b
11. Four times the sum of x and seven
12. Twice the value of x
13. The cube of m
14. The difference between x and six
15. Eight hundred twelve
16. The value of y
17. The average of x and y
18. Three times x minus four
19. Five times the difference of a and b
Write the difference between verbal expression and algebraic expressions?Verbal expressions are sentences that express a mathematical concept or equation. They use words, such as "twice the number," "the product of," or "sum of," as opposed to symbols and operations. Verbal expressions are often used to explain math problems or to pose questions.Algebraic expressions, on the other hand, use symbols and operations to express mathematical concepts. Symbols such as +, -, x, and / can be used to represent addition, subtraction, multiplication and division, respectively. Algebraic expressions are also used to simplify equations and can be used to solve math problems. For example, an algebraic expression such as "2x + 3y" can represent the sum of two numbers multiplied by two and three, respectively.The main difference between verbal expressions and algebraic expressions is that verbal expressions use words to explain a mathematical concept while algebraic expressions use symbols and operations. Verbal expressions are often used to explain a problem while algebraic expressions are used to solve the problem.To learn more about algebraic expressions refer to:
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y=1200(1+.3)⁶ whats the intial value what the growth rate. what does 6 represent
y=1200(1+.3)⁶
initial value =
y=5792.1708
6 represent time.
Please help me URGENT!!!! 50 points if all right and brain list!!! I'll even give u 20 dollars thru any app!!! IF THERE RIGHT!!
Use Pythagorean Theorem!!
Answer:
1. A 2.C 3.D 4.B 5. A PORK-U-PINE
Step-by-step explanation:
a^2+b^2=c^2
Please help if you want brianleist!! :) uhm don't mind update- NO LINkS- Thank you to those who help! :)
Answer:
D. 3600ft^3
Step-by-step explanation:
First you have to find the volume of one box:
Volume = Length*Width*Height
Volume = 48ft^3
Multiply 48 by 75 to find the volume of 75 boxes:
48*75 = 3600ft^3
A basketball holds 334 cubic inches of air. Find the radius of the basketball. Use 3.14 for π. Round to the nearest hundredth. A. 11.89 B. 5.21 C. 4.30 D. 8.92
Answer:
4.30 inches
Step-by-step explanation:
Given data
Volume of basket ball= 334cubic inches
We know that the expression for the volume of a sphere is given as
Volume of sphere= 4/3πr^3
334= 4/3πr^3
334=4/3*3.142*r^3
334=4.189*r^3
r^3= 334/4.189
r^3=79.73
cubic root both sides
r= ∛79.73
r=4.30 inches
The radius of a circle is 6 centimeters. What is the circle's circumference?
Answer:
37.7 cm
Step-by-step explanation:
C=2πr=2·π·6≈37.69911
Answer:
37.68 cm.
Step-by-step explanation:
The formula for circumference of a circle is: πd (diameter)
The radius of this circle is 6 centimeters.
To find the diameter, multiply the radius by 2.
6 × 2 = 12.
12 is the diameter.
Lastly, multiply the diameter by pi.
**3.14 IS A SUBSTITUTE FOR PI**
3.14 = 37.68.
Therefore, the circumference of this circle is 37.68 cm.
Please help me! i do t know....
Answer:
[tex]-3/\sqrt{58}[/tex]
Step-by-step explanation:
tan = opposite / adjacent
opposite side is the y-coordinate of a point on the terminal side
adjacent side is the x-coordinate of a point on the terminal side
if the terminal side is in the second quadrant (the top-left quadrant), a coordinate on the terminal side would have a negative x-coordinate and a positive y-coordinate
This being the case:
the opposite side (y) would be -3 and the adjacent side (x) would be 7
using the Pythagorean theorem:
[tex]a^2+b^2=c^2[/tex]
[tex]7^2+(-3)^2=c^2[/tex]
The hypotenuse is c, so it equals [tex]\sqrt{58}[/tex]
sin = opposite / hypotenuse
so sin(theta) = [tex]-3/\sqrt{58}[/tex]
Question 2: The Northside Knights were competing in a soccer game against the Goshen Gladiators. The Knights, k, scored 3 more goals than the Gladiators, g. The game had a total of 7 goals. Write a system of equations that could be used to determine the amount of goals each team scored.
Answer:
ppppppppppppppppppppppppppppppppppp dogwater freee
Step-by-step explanation:
Write a proportion to find how many points az a student needs to score on a test worth 50 points
to get a test score of 40%.
Answer:The student needs to score 20 points
Step-by-step explanation:
? /50= 40/100Cross multiply:100*? = 40*50⇒? = 40*50/100= 20
How do you solve a 3 variable 2 equation?
The process of solving the 3 variable with 2 equation is explained below.
The term equation is defined as a relationship between two terms on either side of an equal sign.
Here we have the following steps to solve the 3 variable for two equation is solved accordingly.
First of all we have to take any two equations and solve it for one variable.
And then again we have to take another two pair of equations and solve for the same variable.
Now, we have a system of two equations with two unknown variables.
Then we have to solve the equation by using the appropriate arithmetic operations.
and then substitute it accordingly until all the value of the variable are solved.
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A two-digit number is a multiple of 9. Find the number if 1/3 of the number is 3 greater than 1/2 of the reverse number. no files please
Answer:
63
Step-by-step explanation:
1/3 of 63= 21
and the reverse of 63 is 36
so 1/2 of 36 =18
so 21-18 =3
hence proven
The two-digit number will be 63 for the given condition.
What is an expression?
Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.
1/3 of 63= 21
And the reverse of 63 is 36
so 1/2 of 36 =18
so 21-18 =3
Therefore the two-digit number will be 63 for the given condition.
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Ellie bought snacks for her team's practice. She bought a bag of oranges for
$2. 66 and a 5-pack of juice bottles. The total cost before tax was $7. 46. Write
and solve an equation which can be used to determine j, how much each
bottle of juice costs?
The linear equation for jj is ($7.46 - $2.66) / 5 and the cost of each bottle of juice is $0.96.
What in mathematics is a linear equation?
A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.
Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.
The first step to take in order to determine jj, is to determine the total cost of the 5-pack of juice bottles.
Cost of the 5-pack of juice bottles = Total cost before tax - cost of the bag of oranges
Cost of the 5-pack of juice bottles = $7.46 - $2.66 = $4.80
The second step is to determine the cost of each bottle of juice
The cost of each bottle of juice = Cost of the 5-pack of juice bottles / total number of bottles
$4.80 / 5
= $0.96
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75=6·w
the solution is w=?
help help help help help
Answer:
the answer is (3,4) and (2,3)
Step-by-step explanation:
that's my answer
George has opened a new store and he is monitoring its success closely. He has found that this store's revenue each month can be modeled by x2 + 5x + 14 where x represents the number of months since the store opens the doors and r(x) is measured in hundreds of dollars. He has also found that his expenses each month can be modeled by 2 4x + 5 where x represents the number of months the store has been open and c(x) is measured in hundreds of dollars. What does (r - c)(5) mean about George's new store? The new store will sell 900 items in its fifth month in business. The new store will have a profit of $900 after its fifth month in business. The new store will have a profit of $5400 after its fifth month in business. The new store will sell 5400 items in its fifth month in business.
Answer:
pls can you explain further
Given f(x) = −x² – 8x, find ƒ(−3)
Answer:
15
Step-by-step explanation:
To find f(-3), substitute x with (-3)
f(x) = -x² - 8x
f(-3) = - (-3)² - 8*(-3)
= - (9) + 24
= - 9 + 24
= 15
Answer:
15
Step-by-step explanation:
f ( x ) = - x² - 8x
Accordingly, to find the value of f ( -3 ) you have to replace x with ( - 3 ).
f ( -3 ) = - (-3)² - 8 × -3
f ( -3 ) = - 9 + 24
f ( -3 ) = 15
Which of the following calculations could be used to find the value of x? xº 18ft 7ft
A. sin‐1 7/18
B. sin-1 18/7
C. cos-1 7/18
D. cos-1 18/7
(need this by today)
Using trigonometric ratios, the value of x is as follows:
x = sin⁻¹ 7 / 18How to find the angle of a right triangle?A right triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a triangle is 180 degrees.
Therefore, the angle of a right angle triangle can be found using trigonometric ratios as follows:
Hence, let's find angle x
Therefore,
sin x = opposite / hypotenuse
opposite side = 7 ft
hypotenuse side = 18 ft
Hence,
sin x = 7 / 18
x = sin⁻¹ 7 / 18
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help meeee!!!!...!!!!!!!!!
Answer:
Solutions given:
4sin B=3sin (2A+B)............(1)
let B=A+B-A
and
2A+B=A+B+A
again
substituting value we get
Or, 4sin[ A+B-A]=3sin[ A+B+A]
Or,4Sin [(A+B)-A]=3sin[ (A+B)+A]
Or,4(Sin(A+B)cosA-Cos(A+B)sinA)=
3(Sin(A+B)cosA+Cos (A+B)sin A)
Or,4Sin(A+B)Cos A-4Cos(A+B)sinA=
3Sin(A+B)cosA+3cos(A+B)sinA
Or, 4Sin(A+B)CosA-3Sin(A+B)cosA=
3cos(A+B)sinA+4Cos(A+B)sinA
OrSin(A+B)CosA=7Cos(A+B)sinA
or
7cos(A+B)/Sin (A+B)=Cos A/Sin A
7Cot (A+B)=CotA.
7Cot (A+B)=CotA.Proved.
Baldwin took a total of 35 quizzes over the course of 7 weeks. After attending 9 weeks of school this quarter how many quizzes will Baldwin have taken in total
The total number of quizzes in 9 weeks will be 45.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Baldwin took a total of 35 quizzes over the course of 7 weeks. After attending 9 weeks of school this quarter.
The number of quizzes in 9 weeks will be,
7 weeks = 35 quizz
1 week = 35 / 9 quizz
9 week = ( 35 x 7 ) / 9
9 weeks = 45 quizzes.
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How do you write 10000000 in words?
Is 2 a positive number?
Answer:
the 2 positive of number is
Step-by-step explanation:
2_:3+23*3⅔+09=2465
Can someone please help with this
Answer:
D)
Step-by-step explanation:
all vertical lines have an undefined slope because their denominator (after using the slope formula) is zero