Answers
The values of the expressions in the table following their evaluation are;
1. 73
2. 97
3. x = 108
4. -13/6
5. 1 and 97
6. 1 and 41
7. The graph of the number line
8. She needs to add 5/36 cup of sugar
The length of the actual is 6 miles
How can the expressions be evaluated?1. The given expression is 5•x + 14 - 6
The value of x at which the expression is evaluated is x = 13
Which gives;
5×13 + 14 - 6 = 73
2. Twelve times six plus 25 can be expressed as 12 × 6 + 25
12 × 6 + 25 = 97
3. x/9 = 12
Multiplying across gives;
x × 1 = 9 × 12 = 108
x = 108
4. The expression is 3/16 - 3/8
= (3 - 2× 3)/16
3/16 - 3/8 = (3 - 2× 3)/16 = -3/16
(3 - 2× 3)/16 = -3/16
5. The prime factors of 97 are; 1 and 97
6. 41 is a prime number.
The factors of 41 are; 1 and 41
7. The graph of x = -1/3
8. Quantity of sugar required = 3¼
Quantity added = 3⅑
Quantity needed = 3¼ - 3⅑ = 5/36
9. 4 inches is equivalent to 2 miles
Therefore;
12 inches = 3 × 4 inches is equivalent to 3 × 2 mi = 6 mi
The length of the actual trail is 6 miles
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Related Questions
an invasive weed species triples its numbers in 6 days. a feild started with 12 weeds in the early spring. put the equation needed.
Answers
Answer :Its 0
Step-by-step explanation:
given x sin y - 2y^3 - 5 = 7x, use implicit differentiation to find dy/dx
Answers
Answer: [tex]\frac{dy}{dx}[/tex] = [tex]\frac{ 7 - sin y }{ -6 y^{2} + x cos y }[/tex]
Step-by-step explanation:
Given data,
x sin y - 2y^3 - 5 = 7x
Differentiate with each term with respect to the independent variable,
[tex]\frac{d}{dx}[/tex] (x sin y) - [tex]\frac{d}{dx}[/tex] (2y^3) - [tex]\frac{d}{dx}[/tex] (5) = [tex]\frac{d}{dx}[/tex] (7x)
Apply to the product rule,
sin y * [tex]\frac{d}{dx}[/tex] (x) + x * [tex]\frac{d}{dx}[/tex] (sin y) - [tex]\frac{d}{dx}[/tex] (2 [tex]y^{3}[/tex]) - [tex]\frac{d}{dx}[/tex] (5) = [tex]\frac{d}{dx}[/tex] (7x)
Apply the chain rule,
sin y * [tex]\frac{d}{dx}[/tex] (x) + x* [tex]\frac{d}{dy}[/tex] (sin y) * [tex]\frac{dy}{dx}[/tex] - [tex]\frac{d}{dy}[/tex] (2 [tex]y^{3}[/tex])* [tex]\frac{dy}{dx}[/tex] - [tex]\frac{d}{dx}[/tex] (5) = [tex]\frac{d}{dx}[/tex] (7x)
Take out the coefficients,
sin y * [tex]\frac{d}{dx}[/tex] (x) + x * [tex]\frac{d}{dy}[/tex] (sin y) * [tex]\frac{dy}{dx}[/tex] -2 [tex]\frac{d}{dy}[/tex] ([tex]y^{3}[/tex]) * [tex]\frac{dy}{dx}[/tex] - [tex]\frac{d}{dx}[/tex] (5) = 7 * [tex]\frac{d}{dx}[/tex] (x)
Differentiate the constants and power functions,
sin y + x * [tex]\frac{d}{dy}[/tex] (sin y) * [tex]\frac{dy}{dx}[/tex] - 2 * 3 * [tex]y^{2}[/tex] * [tex]\frac{dy}{dx}[/tex] = 7
Differentiate sin (x),
sin y + cos y * [tex]\frac{dy}{dx}[/tex] - 2 * 3 * [tex]y^{2}[/tex] * [tex]\frac{dy}{dx}[/tex] = 7
Isolate,
[tex]\frac{dy}{dx}[/tex] = [ 7-sin y ] / (-6 [tex]y^{2}[/tex] + x cos y )
Therefore,
[tex]\frac{dy}{dx}[/tex] = [tex]\frac{ 7 - sin y }{ -6 y^{2} + x cos y }[/tex]
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Find the maximum of Q = xy if x + y = 52.
Answers
Answer:Q = 26(52-26) = 26*26 = 676
Step-by-step explanation:
What's 2540 in standard form
Answers
There the answer Bestie.
6. For every ten sheets of stickers you buy at a craft store, the total cost increases $20.50. An equation that relates the number of sheets purchased, x, and the total cost, y, of the stickers is y = kx. Use the equation you wrote to complete the table.
Answers
(y = 2.05x) is the equation that relates the change in price per sticker purchased.
What is equation of exchange?The equation of exchange is an economic identity that shows the relationship between money supply, the velocity of money, the price level, and an index of expenditures. English classical economist John Stuart Mill derived the equation of exchange, based on earlier ideas of David Hume. It says that the total amount of money that changes hands in the economy will always equal the total money value of the goods and services that change hands in the economy.
Given that: For every ten sheets you buy the total cost increases $20.50.
• The number of stickers purchased = 10
• Price change = $20.50
The change in price per sticker purchased can be expressed as:
• Price change / number of stickers
• Change in price per sticker = $20.50 / 10
• Change in price per sticker purchased = 2.05
Therefore, the required equation which related y and x is: y = 2.05x
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:
Convert the following to the equivalent fraction form:
1) 0.222222222….
2) 0.9999999999……
3) 2.333333333333…..
4) 5.888888888…….
5) 0.2525252525……
6) 0.36363636363636…..
7) 1.2222222222……
8) 3.3939393939……
9) 0.122222222….
10) 0.366666666666666……
11) 2.18888888888……
12) 1.599999999999……
Answers
Answer:
Step-by-step explanation:
THis is a long anwser
1. 2/100
2.9/100
3.23/100
4.58/100
5.25/100
6..36/100
7.12/100
8.33/100
9.1/10
10.3/10
11.21/100
12..15/100
Need help asap. Please interact no bots!!!!
Answers
The statement postulate that can be used to determine BC is AC = AB + BC and the value of BC is 3 units
Part A: The statement postulate that can be used to determine BCFrom the question, we understand that:
The point B is between the points A and C
Such that
AC = 10
AB = 7
By the straight lie postulate, we have
AC = AB + BC
Hence, the statement postulate that can be used to determine BC is AC = AB + BC
Part B: What is the value of BC?Recall that
AC = AB + BC
So, we have
10 = 7 + BC
Subtract 7 from both sides
BC = 3
Hence, the value of BC is 3 units
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4 (-1/3) =
And
(-2/3) (-1/2) (-3/5) =
Answers
Answer:
EX1: 4×(-1/3)=-4/3
EX2: (-2/3)(-1/2)(-3/5)= -1/5
ian drove 1500 miles to new york in two days.He traveled 150 miles more the first day than he did the second day.how far did he travel the second day?
Answers
ALGEBRA 1 HW!! PLEASE HELP I WILL GIVE BRAINLYEST! also pls explain how u got your answer
Answers
Answer:
a. b is the width of the largest square if you look the sides match.
b. The area is b² because b*b is b²
c. a²+2ab+b² is the entire area.
d. above the actual c is the top right is a² the top right and bottom left is ab and the largest is b²
e. they must have the same equations.
Step-by-step explanation:
Graph the solution of the absolute value inequality on the number line. 4 > |x + 1| + 2
Answers
See attachment for the graph of 4 > |x + 1| + 2
How to graph the solution of the absolute value inequality on the number line?The absolute value inequality is given as:
4 > |x + 1| + 2
Subtract 2 from both sides of the absolute value inequality.
So, we have
2 > |x + 1|
Rewrite as
|x + 1| < 2
So, we plot the graph of |x + 1| < 2 to represent 4 > |x + 1| + 2
See attachment for the graph
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Given Points D(-1,2) and T (-4,-4) Determine the length of segment DT. Round your answer to the nearest hundredth Hint: ( 2 decimal places )
Answers
Step-by-step explanation:
The formula for finding the length between two points is as follows:
[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
All we have to do is plug in our values and solve:
[tex]D=\sqrt{(-4-(-1))^2+(-4-2)^2}\\D=\sqrt{(-3)^2+(-6)^2}\\D=\sqrt{9+36}\\D=\sqrt{45}\\ D=6.71[/tex]
If you roll a 6 sided die three times, how many possible outcomes are there?
Answers
Answer:
There are 6 possible outcomes per roll and three 3 rolls = 6 x 6 x 6 = 216 possible outcomes, assume by outcome one counts each possible sequence separately. If you only count the sum of three rolls, then the possible outcomes are the integers from 3 to 18 inclusive, or 16 possible outcomes. Obviously you mean the former.
Answer:
216 outcomes.
Step-by-step explanation:
When you roll one 6 sided die you have a 1/6 chance,
when you roll two 6 sided dies you have a 1/36 chance,
when you roll three 6 sided dies you have 1/216 chance,
6x6x6
1 1 1
_ _ _
6 36 216
HELP!!!!!!!!
Find the measurement indicated in each parallelogram.
Answers
The measurement of angle ∠D in parallelogram CDEF would be 89° and
the measurement of angle ∠D in parallelogram ABCD would be 57°.
What is Parallelogram?A parallelogram is defined as a special type of quadrilateral that has both pairs of opposite sides parallel and equal.
In parallelogram CDEF,
∠C = ∠D
87 = 93 + 2x
2x = 87 - 93
2x = -6
x = -3
So the measurement of ∠D = 93 + 2(-2) = 89
In parallelogram ABCD,
∠A =∠C
57 = 3x + 21
3x = 57 - 21
3x = 36
x = 12
So the measurement of ∠C = 3(12) + 21 = 57
Hence, the measurement of angle ∠D in parallelogram CDEF would be 89° and the measurement of angle ∠D in parallelogram ABCD would be 57°.
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Use the maximum and minimum data entries and the number of classes to find the class width, the lower class limits, and the upper class limits.
min = 1, max = 30, 6 classes
Answers
The maximum weight an apartment elevator can hold is 1510 pounds Bill weighs 190 pounds and he needs to carry boxes that weigh 40 pounds each Use the equation 40b 1901510 to find the greatest number of boxes Bill can carry in the elevator in one trip
Answers
Answer: 33 Boxes
Step-by-step explanation:
Original Equation: 40b + 190 = 1510
40b = 1320 subtract 190 from both sides
b = 33 divide both sides by 40
Which statement best describes a graph of paired points that form a proportional relationship?
OA straight line cannot be drawn through all the points, but the line passes through the point (0, 0).
OA straight line can be drawn through all the points, and the line passes through the point (0, 3).
OA straight line can be drawn through all the points, and the line passes through the point (0, 0).
OA straight line can be drawn through all the points, and the line passes through the point (3, 0).
1 2
Answers
the product of 5 less than x and 7
Answers
The product of 5 less than x and 7 is 2(x - 5)
How to represent an expression?The product of 5 less than x and 7 can be represented as follows:
The expression can be represented mathematically as follows;
5 less than x is as follows:
x - 55 less than 7 is as follows:
7 - 5Therefore, the product of 5 less than x and 7 is expressed below:
(x - 5)(7 - 5)
(x - 5)(2)
Finally,
2(x - 5)
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Abby has just started training for a marathon. She ran 15 miles in total during her first week of training. She wants to add an additional 2 miles to her weekly total during each subsequent week. Write an explicit rule for the arithmetic sequence that represents this situation and use it to find how many miles Abby will run during her twelfth week of training.
explanation please
Answers
The explicit rule for the arithmetic sequence that represents the number of miles that Abby will run in week n is:
[tex]a_n = 15 + 2n[/tex]
Using this rule, it is found that she will run 39 miles during her 12th week of training.
What is an arithmetic sequence?In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.
The nth term of an arithmetic sequence is given by:
[tex]a_n = a_1 + (n - 1)d[/tex]
In which [tex]a_1[/tex] is the first term.
On the first week, she runs 15 miles, and for each subsequent week this amount increases by 2 miles, hence the first term and the common difference are given as follows:
[tex]a_1 = 15, d = 2[/tex]
The explicit rule for the arithmetic sequence that represents the number of miles that Abby will run in week n is:
[tex]a_n = 15 + 2n[/tex]
During the 12th week, the number of miles that she will run is found as follows:
[tex]a_{12} = 15 + 2(12) = 39[/tex]
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Which formula gives the zeros of y = sin(x)?
Answers
Answer:
There is no “formula” and the sooner you stop believing that math is a collection of formulas the sooner you can start learning it.
“Y sinx”, as written, is meaningless. You probably meant y = sin(x). Learning the proper grammar and syntax for writing mathematical expressions is necessary to make any progress in the subject.
Finally, the value of y = sin(x) is the y-coordinate of a point on the unit circle at position angle x. the zeros of y = sin(x) are x = k*pi, where k is any integer, because at any of those position angles the y-coordinate will be 0. This is not a “formula”, just a compact way to indicate an infinite number of zeros. The note that k is any integer is generally assumed, but to be clear and precise it should be included as part of the answer.
Solutions to trig equations are often restricted to the domain [0, 2pi), which is once around the unit circle without repetition of any point. On this domain, the zeros are 0 and p
Change. 0.99 into a present
Change 0.62
Answers
Answer: 99% 62%
Step-by-step explanation: Multiply the decimal by 100 to get a percentage.
Squares of side A are cut from each corner of a 8 in x 6 in rectangle so that its sides can be folded to make a box with no top.Represent a function in of a that can define the volume of the box.
Answers
A rectangle measuring 8 inches by 6 inches needs squares of side. A function in an in which the box's volume is 4a³-28a²+48a.
Given that,
A square measuring 8 inches by 6 inches needs squares of side. A cut out of each corner so that the sides can be folded into a box without a top.
How much area a box can occupy is determined by its volume. You need to know a box's length, width, and height in order to compute its volume. By multiplying the base area by the box's height, one can get the volume of a box.
The measurement of how much space an object may occupy is called volume, which is also known as capacity. Both regular and irregular objects may be present. Cubes, blocks, cylinders, pyramids, cones, and spheres are examples of common objects.
A: area of the base
L: Length of the base
W: Width of the base
V(a)= (8-2a) (6-2a) (a)
V(a)= (48-16a-12a+4a²) (a)
V(a)= (48-28a+4a²) (a)
V(a)= 48a-28a²+4a³
V(a)=4a³-28a²+48a
Therefore, a function in an in which the box's volume is 4a³-28a²+48a.
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HELP!!!! USING MY DADS ACCOUNT
Answers
Since it’s a rectangle and you know the measurements of two sides, knowing each side is equal to the other, add 5 and 7, then multiply by two.
5+7=12
12x2= 24.
Hope this helps! Please like and mark brainliest!
Solve for x.
-20=-X
Answers
Answer:
x = 20
Step-by-step explanation:
-20 = -x
[tex]\frac{-20}{-1}[/tex] = [tex]\frac{-x}{-1}[/tex]
Simplify
x = 20
multiply both sides by 1
20 = x
x = 20
Find the volume of this sphere.
Use 3 for TT.
V =
8 cm
πr³
V =
π[?]³
Hint: Plug in the value of the
radius for r. The diameter is 8.
The radius is half this value.
Enter
4 is the radius
Answers
Answer:
16
Step-by-step explanation:
Solve. X* - 14x2 + 49 =0
Answers
Answer:
× = -4
or
× = 8
Step-by-step explanation:
because the gravity of the Earth
Triangle QRS, with vertices Q(6,2), R(7.7), and S(2,6) what is the area
Answers
The value of the area of the triangle is a 12.
According to the statement
We have to find that the area of the triangle.
So, For this purpose, we know that the
A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry.
From the given information:
Triangle QRS, with vertices Q(6,2), R(7.7), and S(2,6)
Then we know that the
The coordinate geometry formula for area = the absolute value of Qx(Ry - Sy) + Rx(Sy - Qy) + Sx(Qy - Ry) divided by 2.
Then substitute the values:
Area = the absolute value of Qx(Ry - Sy) + Rx(Sy - Qy) + Sx(Qy - Ry) divided by 2.
Area = the absolute value of 6(7- 6) + 7(6- 2) + 2(2- 7) / 2.
Area = 6(7- 6) + 7(6- 2) + 2(2- 7) / 2.
Area = 6(1) + 7(4) + 2(-5) / 2.
Area = 6 +28 -10 / 2.
Area = 24 / 2.
Area = 12.
So, The value of the area of the triangle is a 12.
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Write a function that implements the quadratic equation. Given three inputs (a, b, and c), calculate the roots (r1 and r2) of the quadratic formula. Recall the quadratic equation: = ―± 2 ―4 2
Answers
The formula for the quadratic equation is x² + x ( r1 + r2) + (r1 * r2) = 0 and
ax² + bx + c = 0
What is Quadratic equation?A quadratic equation is a second-order polynomial equation in a single variable x, ax²+bx+c=0. with a ≠ 0 .
Given:
Three inputs (a, b, and c), calculate the roots (r1 and r2) of the quadratic formula.
we know, the roots are sum of the roots and product of roots
also,
x² + x ( Sum of zeroes) + (product of zeroes) = 0
Now,
x² + x ( r1 + r2) + (r1 * r2) = 0
Also, if we have three inputs named as a, b and c then
ax² + bx + c = 0
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translate the following question= You must be at least 18 years old to vote
Answers
Answer:
[tex]\geq 18[/tex]
Step-by-step explanation:
Since this is in the math category I am assuming you needed a math answer. The "greater than or equal to" symbol is the mathematical equivalent of "at least" some amount or number.
Answer:
x ≥ 18
Step-by-step explanation:
x ≥ 18 (I don't know if you've gotten to greater than or equal to, but keep in mind the answer might be ">" instead of "≥" if its the only option in multiple choice)
x is the age you have to be to vote, the greater than or equal to sign it to say that you have to be older than or equal to 18, and the 18 is the number/age you at least have to be!
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
27. Jaimie ran 3 miles on Monday. She ran half
as far on Tuesday as she did on Monday. How
far did Jaimie run in all on Monday and
Tuesday?
Answers
Answer:
4.5 miles
Step-by-step explanation:
We don't really need an equation for this, as we know what one half of three is - it is 1.5. So we just add 3 and 1.5 to get the sum.
