Answer:65.72
Step-by-step explanation: first you multiply 62 x 0.06 which is 3.72 and you add 3.72 to 62 which is 65.72
Find the maximum of Q = xy if x + y = 52.
Answer:Q = 26(52-26) = 26*26 = 676
Step-by-step explanation:
Two circles each of radius 5 units, lie i perpendicular planes. they intersect in two points x and y thus determining a common chord XY. If XY = 8, compute the distance between the centers of the circle
The distance between the centers of the circle is [tex]3\sqrt{2}[/tex] units.
It is required to find the distance between the centers of the circle.
What is circle?A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “centre”. The perimeter around the circle is known as the circumference.
Given:
Radius =5 units
XY = 8
According to given question we have
XY=
[tex]\sqrt{3^{2}+3^{2} } \\\\=\sqrt{18} \\\\=\sqrt{9.2} \\\\=3\sqrt{2}[/tex]
Therefore, the distance between the centers of the circle is [tex]3\sqrt{2}[/tex] units.
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The heaviest load that an elevator can safely carry is 1,500 pounds. Gregg who weighs 155 pounds, is going to take boxes of supplies weighing 17 pounds each with him in the elevator. How many boxes of supplies can Gregg safely take with him on the elevator at one time?
Answer:
79 boxes
Step-by-step explanation:
1500-155= 1345
1345/17=79.11
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?
Solve the equation 8t+30 - 2t - 16 = -22 for t.
Ot=-6
Ot= -4/
Ot=-7.5
Ot=15
Ot=6.6
Answer: -6
Step-by-step explanation:
8t+30-2t-16=-22
8t-2t+30-16=-22
6t+30-16=-22
6t+14=-22
6t=-22-14
6t=-36
t=-6
As Sara rode her bike at 9 mph, how many feet did she travel in 28 seconds? (1 mi =
5280 ft)
the answer was 369.6 I’m trying to know how that’s the answer
Answer:
Step-by-step explanation: This vould be the answer because it could have been turned into an epression
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 )
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]
Find the point on the graph of the given function at which the slope of the tangent line is the given slope.
f(x)=x^3+6x^2+17x+14; slope of the tangent line=5
The point at which the slope of the tangent line is 5 is
The value of the points in the graph is a (2,80).
According to the statement
We have to find that the points on the graph.
So, For this purpose, we know that the
A graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner.
From the given information:
f(x)=x^3+6x^2+17x+14; slope of the tangent line=5
Then
f(x)=x^3+6x^2+17x+14
Now find the drivative then
f'(x)=3x^2+12x+17
Then slope of the tangent line=5
Now,
3x^2+12x+17 = 5
3x^2+12x+12 = 0
x^2+4x+4 = 0
Now solve the equation then
x^2+2x+2x+4 = 0
x(x+2) +2(x+2) = 0
(x+2) (x+2) = 0
Here the values of the x become -2,-2.
Then
When x = 2
f(x)=2^3+6(2)^2+17(2)+14
f(x)=8+24+34+14
f(x) = 80.
So, The value of the points in the graph is a (2,80).
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Write this English phrase as an algebraic expression. Let the variable x represent the number.
a number subtracted from twelve
translated into an algebraic expression:
The information translated to algebraic expression is 12 - x
What are algebraic expressions?Algebraic expressions are simply known as expressions composed of variables, terms, factors, constants and coefficients.
They are also made up of arithmetic operations such as multiplication, division, addition, subtraction, bracket, etc
From the information given, we have;
Let 'x' be the number
Let 'x' be subtracted from 132
This can be expressed as;
12 - x
Thus, the information translated to algebraic expression is 12 - x
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the product of 5 less than x and 7
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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Which formula gives the zeros of y = sin(x)?
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
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
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
Change. 0.99 into a present
Change 0.62
Answer: 99% 62%
Step-by-step explanation: Multiply the decimal by 100 to get a percentage.
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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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Geometry: What is the value of X
I know the answer is x=7
I just need to know, how do you get 7 as x.
So someone pls help with the strategies+details of every step!!
Answer:
x = 7
Step-by-step explanation:
The dashes on each side of the rectangle indicate congruency.
This means that PS = QR, or 2x - 3 = 11.
Now we would solve for this like normal.
2x - 3 = 11 add 3 to each side
+ 3 + 3
--------------
2x = 14 now divide by 2 to find x
÷ 2 ÷2
--------------
x = 7
Triangle QRS, with vertices Q(6,2), R(7.7), and S(2,6) what is the area
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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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
what is 9/32 minus 1/16?
Answer: [tex]\frac{7}{32}[/tex]
Step-by-step explanation:
You want your numbers to have a common denominator which you can get by doubling both sides of the second number ([tex]\frac{1}{16} = \frac{2}{32}[/tex]).
[tex]\frac{9}{32} - \frac{2}{32} \\= \frac{7}{32}[/tex]
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
Answer:
16
Step-by-step explanation:
an invasive weed species triples its numbers in 6 days. a feild started with 12 weeds in the early spring. put the equation needed.
Answer :Its 0
Step-by-step explanation:
Solve. X* - 14x2 + 49 =0
Answer:
× = -4
or
× = 8
Step-by-step explanation:
because the gravity of the Earth
given x sin y - 2y^3 - 5 = 7x, use implicit differentiation to find dy/dx
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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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.
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!!!!!!!!
Find the measurement indicated in each parallelogram.
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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4 (-1/3) =
And
(-2/3) (-1/2) (-3/5) =
Answer:
EX1: 4×(-1/3)=-4/3
EX2: (-2/3)(-1/2)(-3/5)= -1/5
How many gallons of a 80% antifreeze solution must be mixed with 70 gallons of 25% antifreeze to get a mixture that is 70% antifreeze?
The gallons of a 80% antifreeze solution must be mixed with 70 gallons of 25% antifreeze to get a mixture that is 70% antifreeze is x=315
Use a weighted average........ let x = an unknown number of gallons of the 80% solution.
then {x(80%) + 70 (25%)}/{x +70} =70%
{x*[tex]\frac{80}{100}[/tex] + 70*[tex]\frac{25}{100}[/tex]}/{x +70} =70%
{[tex]\frac{4x}{5}[/tex] +17.50}/{x +70} =70%
[tex]\frac{4x+87.5}{5x+350}[/tex] = [tex]\frac{70}{100}[/tex]
40x+875 = 35x + 2450
40x-35x = 2450-875
5x = 1575
x=315
Keep in mind that the substance with the highest concentration is the solvent.
There are numerous varieties of solutions. A solute, for instance, could be a gas, a liquid, or a solid. Additionally, solvents can be solids, liquids, or gases.
The behavior of several types of solutions at the microscopic level is depicted in the following illustrations. You'll see that the solute particles are evenly spaced out among the solvent particles in each instance.
A solution is a homogeneous mixture of one or more solutes dissolved in a solvent. solvent: the substance during which a solute dissolves to produce a homogeneous mixture. solute: the substance that dissolves during a solvent to produce a homogeneous mixture. The solute is the substance that is being dissolved, while the solvent is the dissolving medium. Solutions are often formed with many different types and forms of solutes and solvents.
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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.
(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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:
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
Solve for x.
-20=-X
Answer:
x = 20
Step-by-step explanation:
-20 = -x
[tex]\frac{-20}{-1}[/tex] = [tex]\frac{-x}{-1}[/tex]
Simplify
x = 20
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
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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