Answers
Related Questions
Joy drove 120 miles the first day of her trip. She drove 60 mph on the following days. What is the beginning amount (b) in the linear model
A) 30 miles
B) 60 miles
C) 90 miles
Or
D) 120 miles
Answers
Answer:
120
Step-by-step explanation:
investment historically have doubled every 9 years if you start with $2000 investment how much money would you have after 45 years
Answers
Answer: $64000
Step-by-step explanation:
The exponential equation for growth in function with growth factor 'b'in time 't' is given by :-
[tex]y=Ab^x[/tex] , where A is the initial value.
Given : The initial value : [tex]A=\$2000 [/tex]
Growth rate = [tex]b=2\text{ every 9 years} [/tex]
Time periods in 45 years :[tex]t=\dfrac{45}{9}=5[/tex]
Then , the exponential equation for growth for t=5 is given by :-
[tex]y=2000(2)^{5}=64000[/tex]
Hence, the money you would have after 45 years = $64000
Which inequality best represents that ice cream at −5°C is cooler than ice cream at 4°C?
−4°C > 5°C
4°C < −5°C
−5°C < 4°C
−5°C > 4°C
Answers
Answer:
IS D
Step-by-step explanation:
Which expression represents the phrase, "one third the sum of 12 and a number"?
13(12)+x
13x+12
13+12+x
13(12+x)
Answers
the sum means add....so 1/3 of the sum (12 + x).....1/3(12 + x)
:)
is 0.12112111211112 a rational number ?
Answers
Answer: The given number is NOT rational.
Step-by-step explanation: We are given to check whether the number 0.12112111211112 . . . a rational number or not.
We know that
if the digits after the decimal in a number are either repeating or terminating, then the number is rational.
The given number is
[tex]x=0.12112111211112 . . .[/tex]
We can see that the digits after the decimal are neither repeating nor terminating.
Therefore, the given number is NOT rational.
The expression 2x+13/2x+6-3x-6/2x+6 is equivalent to
Answers
PLEASE HELP!!!!!!!!!!!!!! AND THANK YOU :-) 15 POINTS A concession-stand manager buys bottles of water and soda to sell at a football game. The manager needs to buy a total of 4,500 drinks and have 25% more water than soda. Let w be the number of bottles of water and let s be the number of bottles of soda. Create a system of equations for w in terms of s that the manager could use to find out how many bottles of water and soda to buy.
(?) = 4500 (?) (?)
W= (?) (?) (?)
Answers
Answer: [tex]w+s=4500[/tex]
[tex] w=1.25s[/tex]
Step-by-step explanation:
Let w be the number of bottles of water and let s be the number of bottles of soda.
Since , the manager needs to buy a total of 4,500 drinks.
Then , we have [tex]w+s=4500[/tex]
Also, the they have 25% more water than soda.
Since 25%=0.25
Then, [tex]w=s+0.25s=s(1.25)[/tex]
[tex]\Rightarrow\ w=1.25s[/tex]
Hence, the system of equations for w in terms of s that the manager could use to find out how many bottles of water and soda to buy.
[tex]w+s=4500[/tex]
[tex] w=1.25s[/tex]
If it takes 5 machines 5 minutes to make 5 widgets, how long would it take 100 machines to make 100 widgets?
Answers
It takes 1 minute to make each widget.
Five less than twice what negative number squared is 157?
Answers
-5 + 2(-x^2) = 157
Now simplify:
-5 + -2x^2 = 157
-2x^2 = 162
-2x^2 - 162 = 0
2x^2 + 162 = 0
x^2 + 81 = 0
Using algebraic equation, the negative number that is squared is: -9.
What is an Algebraic Equation?An algebraic equation can be used to find an unknown value, by making the unknown value the variable.
Let the negative number that would be squared be represented by the variable, x. Thus, we have -x². Therefore:
2x² - 5 = 157
2x² = 157 + 5
2x² = 162
x² = 162/2
x² = 81
x = √81
x = -9
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What is the missing term in the factorization?
18x2−32=2(3x+?)(3x−4)
Answers
2(9x^2 - 16) =
2(3x + 4)(3x - 4) <==
answer is 4
For the linear equation, x + y - 1 = 0, determine a corresponding value of y for the x-value of -6.
Answers
x + y-1 = 0
if x = 6
replace x with 6 to get
6 +y-1 =0
subtract 6 from each side
y-1 =-6
add 1 to each side
y = -5
Building a is 160160 feet shorter than building
b. the total height of the two buildings is 14801480 feet. find the height of each building
Answers
The two heights are unknown, so we will use variable h to help solve the problem.
The shorter building, building A, has height h.
Since building A is shorter by 160 ft, then building B is taller by 160 ft, so the height of building B is h + 160.
Now we add our two heights to find the total height.
h + h + 160 is the total height.
We can write it as 2h + 160
We are told the total height is 1480 ft, so we let 2h + 160 equal 1480, and we have an equation.
2h + 160 = 1480
Subtract 160 from both sides
2h = 1320
Divide both sides by 2
h = 660
h + 160 = 820
Building A measures 660 ft.
building B measures 820 ft.
The point (-7, -24) is on the terminal ray of angle θ which is in standard position. A student found the six trigonometric values for angle θ. The student’s answers are shown
Answers
The student wrongly calculated the value of [tex]\rm tan\theta[/tex], [tex]\rm sin\theta[/tex], [tex]\rm cosec\theta[/tex], and [tex]\rm cot\theta[/tex] and this can be determined by using the Pythagorean theorem and trigonometric functions.
GIven :
The point (-7, -24) is on the terminal ray of angle θ which is in standard position.
To determine the trigonometric function first determine the value of the hypotenuse and to determine the value of the hypotenuse, the Pythagorean theorem can be used.
[tex]\rm H^2 = P^2 + B^2[/tex]
where H is the hypotenuse, B is the base, and P is the perpendicular.
Now, substitute the value of known terms in the above equation.
[tex]\rm H^2 = 7^2+24^2[/tex]
[tex]\rm H^2=49+576[/tex]
[tex]\rm H^2 = 625[/tex]
H = 25
Now, the values of the trigonometric functions are as follows:
[tex]\rm cos\theta=\dfrac{-7}{25}[/tex]
[tex]\rm sin\theta=\dfrac{-24}{25}[/tex]
[tex]\rm tan\theta=\dfrac{24}{7}[/tex]
[tex]\rm cosec\theta=\dfrac{25}{-24}[/tex]
[tex]\rm sec\theta=\dfrac{25}{-7}[/tex]
[tex]\rm cot\theta=\dfrac{7}{24}[/tex]
The student wrongly calculated the value of [tex]\rm tan\theta[/tex], [tex]\rm sin\theta[/tex], [tex]\rm cosec\theta[/tex], and [tex]\rm cot\theta[/tex].
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To find the six trigonometric values for angle θ (-7, -24) on the terminal ray, we can use sine, cosine, tangent, cosecant, secant, and cotangent ratios.
Explanation:The given point (-7, -24) lies on the terminal ray of an angle in standard position, denoted by θ. To find the six trigonometric values for angle θ, we can use the values of the coordinates of the point. The coordinate (-7) represents the x-value (adjacent side) and the coordinate (-24) represents the y-value (opposite side).
We can use the trigonometric ratios: sine (sin), cosine (cos), tangent (tan), cosecant (csc), secant (sec), and cotangent (cot), to find the values.
Here, sinθ = y/r = (-24)/7.6, cosθ = x/r = (-7)/7.6, tanθ = y/x = (-24)/(-7), cscθ = 1/sinθ, secθ = 1/cosθ, and cotθ = 1/tanθ. By substituting the respective values, we can find all six trigonometric values.
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What is the simplified form of the fifth root of x to the fourth power times the fifth root of x to the fourth power?
Answers
Answer:
The simplified form will be: [tex]x\sqrt[5]{x^3}[/tex]
Step-by-step explanation:
The given expression is: [tex]\sqrt[5]{x^4}*\sqrt[5]{x^4}[/tex]
Simplifying the above expression......
[tex]\sqrt[5]{x^4}*\sqrt[5]{x^4}\\ \\ =\sqrt[5]{x^4*x^4}\\ \\ =\sqrt[5]{x^4^+^4}\ [Exponents\ gets\ added\ while\ multiplication]\\ \\ =\sqrt[5]{x^8}\\ \\ =\sqrt[5]{x^5*x^3}\ [As\ 5+3=8] \\ \\ =\sqrt[5]{x^5}*\sqrt[5]{x^3}\\ \\ =x\sqrt[5]{x^3}[/tex]
So, the simplified form will be: [tex]x\sqrt[5]{x^3}[/tex]
The radius of a large sphere is 8 times the radius of a small sphere. the surface area of the large sphere is how many times the surface area of the small sphere?
Answers
small sphere's radius = r, R = 8r
surface area of a sphere (SA) = 4×pi×radius^2
So what we need is the SA of the larger in terms of the smaller sphere, so if:
SA (of R) = 4×pi×R^2, then plug in "8r" for "R"...
SA = 4×pi×(8r)^2 = 4×3.14×64r^2
SA = 12.57×64r^2 = 804 r^2
Therefore the SA of the larger sphere is 804 times the SA of the smaller sphere.
I hope that makes sense!
The large sphere is 64 times the surface area of the small sphere.
What is a sphere?A sphere is a geometrical object that is a three-dimensional analogue to a two-dimensional circle. A sphere is the set of points that are all at the same distance r from a given point in three-dimensional space. That given point is the centre of the sphere, and r is the sphere's radius.
Given that, the radius of a large sphere is 8 times the radius of a small sphere.
Let the radius of a small sphere be x, then the radius of a large sphere is 8x.
We know that, the surface area of a sphere is 4πr².
Here, surface area of a small sphere = 4πx²
The surface area of a large sphere = 4π(8x)²
= 256πx²
Now, 256πx²/4πx² =64
Therefore, the large sphere is 64 times the surface area of the small sphere.
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Two angles form a complementary pair (sum is 90 degrees) one angle is 3x - 10 and the other angle is x + 8. Write an equation and solve for each angle.
Could somebody help? Thank you :)
Answers
4×-2=90
4x=92
X=23
One angle is 31. 23+8
The second one is 59. 3 (23)-10
What are the solutions to the equation? 5x^3 =405x
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simplify i^31 (click photo for options)
Answers
i^2=-1
i^3=-1*i
1^4=-1*-1=1
this repeats itself over and over again:
i^5=-1*-1*i=i
..
31/4=6 with a remainder of 3, so for i^31 it repeated 6 times and then it is the third entry of the table:
so we know i^31=i^3 -> look it up above =-1*i=-i=3rd option
The running back for the bulldogsame football team carried the ball 9 times for a totall loss of 15 3/4 yards find the average change in field position on each run
Answers
Number of carries = 9
Average loss per carry is
(63/4)/9 = 63/(4*9) = 63/36 = 7/4 yds = 1 3/4 yds
The average change in position on each run is - 1 3/4 yards.
Answer: [tex]-1 \, \frac{3}{4} \, yards[/tex]
What is the sum of the given polynomials in standard form?
(x2 – 3x) + (–2x2 + 5x – 3)
Answers
The sum is -x² + 2x - 3
Suppose that a compensation professional would like to calculate the median salary. he orders four salaries as follows: $20,000, $22,000, $24,000, $26,000. what is the median salary for this data set?
Answers
First, you put them in order from least to greatest.
Then, you look to see which number is in the middle.
Since there are only four numbers given, you have to go in between two of the numbers.
The median is in between 22,000 and 24,000.
20,000 22,000 _ 24,000 26,000
The number that is equally between 22,000 and 24,000 is 23,000.
The median for the set of data is $23,000.
Hope this helps!
The median salary for the given data set of four salaries ($20,000, $22,000, $24,000, and $26,000) is calculated by averaging the two middle values ($22,000 and $24,000), resulting in a median of $23,000
To calculate the median salary from an ordered data set, you first need to determine if the number of data points is even or odd. In this scenario, there are four data points: $20,000, $22,000, $24,000, and $26,000. As the number of data values is even, the median is the average of the two middle values.
Steps to Calculate Median Salary
Arrange the salaries in ascending or descending order. This step is already completed, as the salaries are presented in order: $20,000, $22,000, $24,000, $26,000.Find the two middle salaries since the number of data points is even. In the given data set, the two middle salaries are $22,000 and $24,000.Calculate the average of these two middle salaries. Add $22,000 and $24,000 to get $46,000, then divide by 2 to obtain $23,000. This value is the median salary for the data set.Therefore, the median salary for this data set is $23,000
How do you find the x and y intercepts of x^2+x-2/x^2-3x-4?
Answers
f(x)= (x²+x-2)÷(x²-3x-4)
To find y-intercept, x coordinates have to be 0
f(0)=(0²+0-2)÷(0²-3(0)-4)
f(0)=-2/-4
f(0)=1/2 (y-intercept)
To find x-intercept, make y=0
0=(x²+x-2)÷(x²-3x-4)
0((x²-3x-4)=(x²+x-2)
0=x²+x-2
0=(x-1)(x+2)
x-1
x-1=0
x=1
x+2=0
x=-2
The x-intercepts would be 1, -2
Hope I helped :)
Find the turn of sonnet 73. what is its logical relationship to what comes before
Answers
Final answer:
The volta in Sonnet 73 is a shift that occurs between lines eight and nine, serving to transition from metaphors of aging to considering their impact on love. This turn is common in sonnets, marking a change in argument or tone.
Explanation:
Finding the Volta in Sonnet 73
The volta, or the turn, in a sonnet marks a shift in thought or argument and is crucial to understanding the poem's structure and meaning. In Sonnet 73, the volta can be identified between lines eight and nine, where the poet moves from reflecting on the images that convey the passage of time and coming to terms with mortality, to directly addressing the beloved and discussing the importance of this realization for their relationship. The logical relationship between the octet (the first eight lines) and the following sestet (the last six lines) in Sonnet 73 is that the octet sets up a series of metaphors about aging and the passage of time, which the sestet then responds to by contemplating the impact of these realizations on love and connection.
The Petrarchan sonnet typically follows a structure with an octave that presents a problem that is resolved or responded to in the following sestet. Although the rhyme scheme might vary, the purpose of the volta remains the same across different sonnets: it signifies a pivot or shift in the argument or mood of the poem.
The reference to Shakespearian and Petrarchan sonnet styles in the question helps us understand that the student likely confuses the structure. Sonnet 73 is a Shakespearian sonnet that consists of three quatrains and a concluding couplet, with the volta being a conceptual rather than structural shift in Shakespeare's sonnets, typically occurring at the start of the third quatrain or the couplet.
Tim made a down payment of $1,000. He pays $450 for 36 months. What is the total amount he pays for the car?
Answers
1000 + 16,200 = 17,200.
He payed $17,200 for the car.
Hope this helps!
Answer:
$ 17,200
Step-by-step explanation:
Given,
The amount of down payment = $ 10000,
Also, monthly payment = $ 450,
Number of months = 36,
So, the total payment ( except down payment ) = number of months × monthly payment
= 36 × 450
= $ 16200,
Hence, the total amount paid for the car = down payment + total payment
= $ 1,000 + $ 16,200
= $ 17,200
Scott earns $25 an hour at his job as a landscaper. His boss Danny gives him $10 per day for lunch. Scott works thirty hours per week (He works Monday thru Friday, for six hours each day). An expression for determining how much Scott gets paid per week might be written as follows:
25 h + 10 d
Identify each part of this expression and explain what it represents, and which numbers should be substituted for which variables in order to calculate how much Scott earns per week. Do you think this is the best expression to use for this application? Why or why not?
Answers
so he gets paid 25and hour (25h) and 10 a day (10d)
I think that this is the best expression to use because you can plug in the number of hours a week, and the days.
Jaime had $37 in his bank account on Sunday. The table shows his account activity for the next four days. What was the balance in Jaime’s account after his deposit on Thursday?
Jaime’s Bank Acc.
______________________
| Day | Deposit | withdrawal |
| Mon| $17.42 | none |
| Tues| None | -$12.60 |
| Wed| None | -$9.62 |
| Thur| $62.29 | none |
———————————————
A) $57.48
B) $59.65
C) $94.49
D) $138.93
(I would really appreciate
it if someone will help me)
Answers
on Mon $37+$17.42=$54.42
on Tue $54.42-$12.6=$41.82
on Wed $41.82-$9.62=$32.20
on Thur $32.20+$62.29=$94.49
so the correct answer is C
Answer:
Option C. $94.49
Step-by-step explanation:
Jaime had a balance in his bank account on Sunday = $37
The table shows his account activity for the next four days.
From the given table we add all the deposits to his balance and then subtract all the withdrawals.
Balance on Sunday + Deposits
= 37.00 + 17.42 + 62.29 = $ 116.71
Now we subtract all the withdrawals
= 116.71 - (12.60 + 9.62)
= 116.71 - 22.22 = $94.49
The balance would be $94.49 in Jaime's account after his deposit on Thursday.
w = 13, x = 9, y = 1.9, z = 0.5 x + 20 – 1
A. 28
B. 19
C. 30
D. 32
Answers
A = 28
The value the given expression x + 20 – 1 is, the solution is A. 28.
What is an expression?An expression is any mathematical statement which consists of numbers, variables and an arithmetic operation between them. In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
here, we have,
w = 13, x = 9, y = 1.9, z = 0.5
x + 20 – 1
Since X Is 9 ,
You're Problem Would Now Be
= 9 + 20 - 1
Then You Subtract 20
And 1 Which Will Give You 19
Then , You're Left With 9 + 19
Which Is 28.
Hence, the solution is A. 28.
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Teo makes a necklace of x wooden beads at .50 each and 6 glass beads at 1.25 each. The average cost of the beads in the necklace is .75. What is an equation that will model this solution?
Answers
There are x wooden beads at $0.50 each.
There are 6 glass beads at $1.25 each
Therefore the cost of the beads in a necklace is
0.50x + 6*1.25 = 0.5x + 7.5 dollars
There are (x+6) beads. Because the average cost of the beads is $0.75, therefore
[tex] \frac{0.5x+7.5}{x+6} =0.75 \\\\ 0.5x+7.5=0.75(x+6)[/tex]
The solution for x may be obtained as follows:
0.5x + 7.5 = 0.75x + 4.5
-0.25x = -3
x = -3/-0.25 = 12
Answer:
The equation to find x is
(0.5x + 7.5) = 0.75(x + 6)
Given triangle ABC ~ triangle XYZ, what is the value of cos(Z)
Answers
Answer:
cos(Z) = 12/13
Step-by-step explanation:
Given that the triangles ABC and XYZ are similar (their corresponding angles are congruent and the corresponding sides are in proportion), then cos(Z) is equal to cos(C).
From the picture attached:
cos(C) = adjacent/hypotenuse
cos(C) = 12/13
Final answer:
Without additional information about triangle XYZ or its similarity ratio to triangle ABC, it is impossible to provide the exact value of cos(Z).
Explanation:
The question involves finding the value of cos(Z) in a triangle similar to triangle ABC. When triangles are similar, their corresponding angles are equal. However, without additional information such as side lengths or other angle values, it's not possible to calculate the exact value of cos(Z). But in general for any triangle, the value of cosine for any angle can be found using the cosine formula or by using the ratio of the adjacent side to the hypotenuse in a right triangle. For non-right triangles, one could utilize the Law of Cosines to determine the cosine of the included angle.
Which statement is the correct interpretation of the inequality –2 > –8?
On a number line, −2 is located to the right of –8.
On a number line, −2 is located to the left of –8.
On a number line, −2 is located to the left of 0 and –8 is located to the right of 0.
On a number line, −2 is located to the right of 0 and –8 is located to the left of 0.
Answers
the correct interpretation of the inequality –2 > –8 is On a number line, −2 is located to the right of –8.