Answer:7,800
Step-by-step explanation:
Answer:
Option B (3,510ft) would be correct.
Step-by-step explanation:
The volume of a rectangular prism is defined as the space occupied within a rectangular prism. A rectangular prism is a polyhedron that has two pairs of congruent and parallel bases. It has 6 faces (all are rectangular),12 sides, and 8 vertices. As the rectangular prism is a three-dimensional shape (3D shape), the unit that is used to express the volume of the rectangular prism is cm3, m3 and so on. In mathematics, any polyhedron, having all such characteristics can be referred to as a Cuboid.
Please help me simplify
Answer: [tex]\frac{4\sqrt{x} }{t^2}[/tex]
Step-by-step explanation:
You can start by either applying the exponent to both the numerator and denominator (exponent rule), or make things simpler by dividing first. Doing the latter allows me to show both properties. Since the terms in the fraction are being multiplied, we can divide common terms which will leave us with [tex]\frac{16x}{t^4}[/tex] on the inside. Now that it is simplified, we can apply the exponent. We will end up with 4x^1/2 in the numerator and t^2 in the denominator. If the exponent seems daunting, it is also helpful to know that raising something to the exponent of 1/2 is basically taking the square root of it.
Raven is taking a math test.
The test lasts for 1 hour and 35 minutes.
If they finish the test at 1:20, what time did they start the test?
If they took 1 hour and 35 minutes to complete the test and finished at 1:20 they started at 11:45.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, The total time of the math test Raven took was 1 hour and 35 minutes.
Now he finishes the test at 1:20.
So, One hour before the time was 12:20.
20 minutes before that was exactly 12:00 and 15 minutes before that was
11:45 so a total of 1 hour and 35 minutes.
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(a)- domain and range of function
(b)- intercepts
(c)- horizontal asymptotes
(d)- vertical asymptotes
(e)- oblique asymptotes
I need help with this problem. Please and thank you.
After solving the given equation for r, the value of r is √T/4π.
What are equations?A mathematical equation is a formula that utilizes the equals sign to signify the equality of two expressions. Algebraically speaking, an equation is a statement that shows the equality of two mathematical expressions. For instance, the two equations 3x + 5 and 14, which are separated by the 'equal' sign, make up the equation 3x + 5 = 14.So, the formula equation is:
T = 4πr²Now, solve for r as follows:
T = 4πr²r² = T/4πr = √T/4πTherefore, after solving the given equation for r, the value of r is √T/4π.
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NO LINKS!! Please help me with these graphs Part 3
Answer:
[tex]\textsf{a.} \quad x = 1 - \sqrt{7},\quad x = 1 + \sqrt{7}[/tex]
b. y = -6
c. Minimum point at (1, -7).
d. Domain: (-∞, ∞)
e. Range: [-7, ∞)
f. See attachment.
Step-by-step explanation:
Given function:
[tex]\text{f}(x)=x^2-2x-6[/tex]
As per the question, use a graphing calculator to graph the given function.
Part aThe x-intercept(s) are the points at which the curve crosses the x-axis.
x-intercepts: [tex]x = 1 - \sqrt{7},\quad x = 1 + \sqrt{7}[/tex]The y-intercept is the point at which the curve crosses the y-axis.
y-intercept: y = -6Part cFrom inspection of the graph:
Minimum point at (1, -7).Part dThe domain of a function is the set of all possible input values (x-values).
The domain of the given function is unrestricted.
Domain: (-∞, ∞)Part eThe range of a function is the set of all possible output values (y-values).
As the function has a minimum point at y = -7, the range is restricted.
Range: [-7, ∞) Part fGraph label the axes using a scale of 1 (see attachment).
Plot the minimum point (1, -7).Simplify
8(x + 3)^2/2(× + 3)
Answer:
[tex] = \frac{8(x + 3) {}^{2} }{2(x + 3)} = 4(x + 3) = 4x + 12[/tex]
Hopefully this will help u
A square patio had the same number of feet added to its length and width. The
equation A(x) = x² + 12x + 36 represents the area of the new patio in square feet,
where a was the length and width of the original patio, in feet. How many feet were
added to the length and width of the patio?
The required feet added to both the length and width of the patio is 6 feet.
Given that,
A square patio had the same number of feet added to its length and width. The equation A(x) = x² + 12x + 36 represents the area of the new patio in square feet, where 'x' was the length and width of the original patio, in feet.
Here,
According to the question,
A(x) = x² + 12x + 36
A(x) = x² + 6x + 6x + 36
A(x) = (x + 6)(x + 6)
Length = width = x + 6
Thus, the required feet added to both the length and width of the patio is 6 feet.
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Minimizing Costs A pencil cup with a capacity of 20 in.3 is to be constructed in the shape of a rectangular box with a square base and an open top. If the material for the sides costs 12¢/in.2 and the material for the base costs 60¢/in.2, what should the dimensions of the cup be to minimize the construction cost?
The dimensions of the cup that minimize the construction cost are 2 x 2 x 5 in
How to determine the dimensions of the cup that minimize the construction cost?
Given: Capacity = 20 in³, cost of material for the side = 12¢/in² and cost of material for the base = 60¢/in²
In order to calculate the dimension of the cup
Let h and x represent the height and square base respectively
Thus, the capacity (volume) of the pencil cup is can be represented as:
V = x²h (where V = 20)
20 = x²h
h = 20/x²
At minimum cost, we have:
C(x) = 60x² + 12(4xh)
C(x) = 60x² + 48xh (put h = 20/x²)
C(x) = 60x² + 48x(20/x²)
C(x) = 60x² + 960/x
Differentiating with respect to x, we have:
C(x) = 120x - 960/x² (multiply through by x²)
120x³-960 = 0
120x³ = 960
x³ = 960/120
x³ = 8
x = ∛8 = 2 in
For the height:
h = 20/x²
h = 20/2²
h = 20/4 = 5 in
dimensions = 2 x 2 x 5 in
Therefore, the dimensions of the cup that minimize the construction cost are a 2 x 2 square base and height of 5 in
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12) m/GOP = 80°, m/ROP
and m/ROG= 32x + 4. Find x.
R
Q
= 3 +59x,
G
The angular value of x is 3° as per the given the given information in the question.
What is meant by an angle?An angle in Euclidean geometry is the figure produced by two rays, called the sides of the angle, that have a common termination, called the vertex of the angle. Angles formed by two rays lie in the plane containing the rays. Angles are also generated by the intersection of two planes. These are referred to as dihedral angles. Two intersecting curves can also define an angle, which is the angle of the rays lying tangent to the respective curves at their point of intersection.
Given,
m ∠GQP=80
m ∠RQP=3+59x
m ∠RQG=32x+4
From the figure,
m ∠RQG+ m ∠GQP= m ∠RQP
32x+4+80°=3+59x
27x=81°
x=3°
Therefore, the value of x=3°
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On Saturday, Bianca has $50 on her debit card when she goes out with some friends. She uses her debit card to spend $14.50 on lunch. She and her friends would like to go to see a movie, but some of her friends are out of money.
If the movie tickets cost $6.50 each, write an inequality to represent the number of tickets Bianca can buy without overdrawing on her debit card.
The inequality to represent the number of tickets Bianca can buy without over drawing on her debit card is 14.50 + 6.50x ≤ 50 .
In the question ,
it is given that
amount of money present in Bianca's Debit card = $50
amount of money spend on lunch = $14.50
cost of 1 movie ticket = $6.50
le the number of ticket = "x"
according to the question ,
the inequality is
14.50 + 6.50x ≤ 50
6.50x ≤ 50 - 14.50
6.50x ≤ 35.5
x ≤ 35.5/6.50
x ≤ 5.46
≈ 5
Therefore , The inequality to represent the situation is 14.50 + 6.50x ≤ 50
, and the number of tickets she can buy is 5 .
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Hailey used math to describe design in nature:
the number of legs insects and spiders have, the number of petals on flowers, and even the patterns of spots on some animals.
Math shows the world is designed, and that design is _______.
The math shows the world is designed, and that design is symmetry and spirals.
How is math found in nature What is the significance of mathematical patterns in nature?
Mathematics is seen in many beautiful patterns in nature, such as symmetry and spirals. Both are aesthetically appealing and proportional. Symmetry can be radial, where the lines of symmetry intersect a central point such as a daisy or a starfish.
Here,
If Hailey used math to describe the design in nature: the number of legs insects and spiders have, the number of petals on flowers, and even the patterns of spots on some animals. The math shows the world is designed, and that design is symmetry and spirals.
Hence, the math shows the world is designed, and that design is symmetry and spirals.
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Solve for j.
–3(j − 8) + –6 = –9
Answer:
j=3
Step-by-step explanation:
distribute
-3(j-8)+-6=-9
-3j+24-6=9
-3j+18=9
-3j=-9
j=3
Hopes this helps pleae mark brainliest
Answer:
j = 9
Step-by-step explanation:
Let's solve for the value of j,
→ -3(j − 8) + (-6) = -9
→ -3j + 24 - 6 = -9
→ -3j + 18 = -9
→ -3j = -9 - 18
→ j = (-27)/(-3)
→ j = 27/3
→ [ j = 9 ]
Hence, the value of j is 9.
Please help me I’ll mark your answer brainly
The measure of angle B is x, while the measure of angle A is 2·x. The 70° measure of angle C and the angle sum property of the interior angles of a triangle indicates that angle B is [tex]36.\overline 6^{\circ}[/tex] and angle A is [tex]73.\overline 3^{\circ}[/tex]
What are the interior angles of a triangle?The interior angles of a triangle are the angles formed by the sides sides of the triangle.
The question can be solved by making use of the known properties of a triangle.
The angle sum property of the interior angles in a triangle gives;
The sum of the interior angles of a triangle is 180°
Therefore; x + 2·x + 70 = 180
3·x = 180° - 70° = 110°
[tex]x = \dfrac{110^{\circ}}{3} = 36\frac{2}{3} ^{\circ}[/tex]
The measure of angle A is 2·x
Which gives;
[tex]A = 2 \times 36\frac{2}{3} ^{\circ} = 73\frac{1}{3} ^{\circ} = 73.\overline 3^{\circ}[/tex]
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15. Rachel Teeter has a monthly budget of $3000. She plans
to spend 34% for rent and utilities, 23% for food, 5% for
entertainment, 25% to pay off debt, and the remainder
will go into a savings account.
(a) What percent of the total budget will go into a savings
account?
Answer: 17%
Step-by-step explanation:
If you add up 34%, 23%, 5%, & 25% that would equal 83%, if you subtract the 83% from 100%, you would get 17%.The 17% is equivalent to 510. So Rachel Teeter will have $510 in her savings account.
Please Help me its a hard ;--;
Answer: y intercept: (0, -1/7)
Step-by-step explanation:
First you start with y = 10x - 1/7
Since your finding the y-intercept, you turn the 10x into a 0
So you would have y = -1/7
So y = -1/7
is your answer!
Function Notation - Function Machines
#1. Find the following...
f(1) =
f(0) =
f(-3)=
f(8)=
x - input
?
4x + 1
f(x) - output
The function notation of the following are:
f(1) = 5
f(0) = 1
f(-3) = -11
f(8) = 33
Given:
x is the input.
the function is 4x+1
f(x) is the output.
we are asked to determine the values of the following :
a. f(1)
x = 1
so f(x) = 4x+1
f(1) = 4(1)+1
f(1) = 4+1
f(1)=5
b. f(0)
x = 0
so f(x) = 4x+1
f(0) = 4(0)+1
f(0) = 0+1
f(0)=1
c. f(-3)
x = -3
so f(x) = 4x+1
f(-3) = 4(-3)+1
f(1) = -12+1
f(1)= -11
d. f(8)
x = 8
so f(x) = 4x+1
f(8) = 4(8)+1
f(8) = 32+1
f(1)=33
Hence we get the required values.
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What is the answers please
By performing some simple mathematical operations, the answers to all the subparts are:
(A) 3.2 × 6 = 19.2(B) 8.5 × 0.2 = 1.7(C) 2.7 × 5.9 = 15.93(D) 0.32 × 0.16 = 0.0512What exactly are mathematical operations?In mathematics, an operation is a function that converts zero or more input values into a discrete output value. The number of operands in the operation determines how difficult it is.A rule that determines the correct method to use while evaluating mathematical equations is known as the order of operations. Parentheses, exponents, multiplication, division (left to right), addition, and subtraction can all be remembered in the PEMDAS acronym (from left to right).So, the answers after multiplication are:
(A) 3.2 × 6 = 19.2(B) 8.5 × 0.2 = 1.7(C) 2.7 × 5.9 = 15.93(D) 0.32 × 0.16 = 0.0512Therefore, by performing some simple mathematical operations, the answers to all the subparts are:
(A) 3.2 × 6 = 19.2(B) 8.5 × 0.2 = 1.7(C) 2.7 × 5.9 = 15.93(D) 0.32 × 0.16 = 0.0512Know more about mathematical operations here:
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Please answer the question in the attached photo below.
The distance between the two points (3, π/6) and (2, π/3) in polar coordinates is 1.614 units
The points are (3, π/6) and (2, π/3)
The polar coordinate system is the system that represent a point by a distance from a fixed reference point and angles from a reference direction
The distance between the two points
d = [tex]\sqrt{r_1^2+r_2^2-2r_1r_2cos(theta_1-theta_2)}[/tex]
(3, π/6) is the coordinates of first point
(2, π/3) is the coordinates of second point
Substitute the values in the equation
d = [tex]\sqrt{3^2+2^2-2(3)(2)cos(\pi/6 - \pi /3)}[/tex]
d = [tex]\sqrt{9+4-12(\frac{\sqrt{3} }{2} )}[/tex]
d = [tex]\sqrt{13-6\sqrt{3} }[/tex]
d = 1.614 units
Hence, the distance between the two points (3, π/6) and (2, π/3) in polar coordinates is 1.614 units
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one serving of a certain brand of yogurt contains 7g of fat. the low fat version contains 45.75% less fat per serving. how many grams of fat does one serving of the low fat yogurt contain?
The grams of fat that are contained in one serving of the low-fat yogurt are: 3.7968g.
How do we obtain the grams of fat for one serving of low-fat yogurt?To obtain the number of grams of fat that is contained in one serving of the low-fat yogurt, we need to first note the percentage content of the low-fat version of yogurt.
100 - 45.75% = 54.25% or 0.5425
Since one serving of the yogurt contains 7g of fat, then the low-fat serving will be equal to:
7g × 0.5425 = 3.7968
So, the total gram of fat for one serving of the low-fat yogurt is equal to:
3.7968g
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Mr Agrawal has an electrical shop. he sold a tube light for rs 240 at 20% profit. find the cost price of tube light.
Answer:
192
Step-by-step explanation:
If 20% is the profit, then 80% is the cost.
.8 x 240 = 192
sry for the awful picture but i couldnt get it as a file
Check the picture below.
Jeremy received a bill with a balance due of $35.60. After an error was corrected, the new balance was of the original balance due.
What was the new balance due?
For Jeremy the new balance due was $8.9 .
In the question ,
it is given that ,
bill received by Jeremy with balance due = $35.60
also given that after an error occurred ,
the new balance was 1/4 of the original balance due .
So , the new balance due is = (1/4) × (original balance due)
Substituting the value of original balance due ,
we get ,
new balance due = (1/4) × (35.60)
= 35.60/4
On Simplifying further ,
we get ,
= 8.9
Therefore , For Jeremy , the new balance due was $8.9 .
The given question is incomplete , the complete question is
Jeremy received a bill with a balance due of $35.60. After an error was corrected, the new balance was 1/4 of the original balance due. What was the new balance due ?
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due tomorrow help please :)
Answer:
68°
Step-by-step explanation:
The angles are equal to each other. Set them equal and solve for x
5x + 18 = 8x - 12 Subtract 5x from both sides of the equation
18 = 3x - 12 Add 12 to both sides of the equation
30 = 3x Divide both sides by 3
10 = x
Now that you have found x plug is back into 5x + 18
5(10) + 18
50 + 18 = 68
Answer:
∠ FLJ = 68°
Step-by-step explanation:
∠ EKG and ∠ FLJ are alternate exterior angles and are congruent , then
8x - 12 = 5x + 18 ( subtract 5x from both sides )
3x - 12 = 18 ( add 12 to both sides )
3x = 30 ( divide both sides by 3 )
x = 10
Then
∠ FLJ = 5x + 18 = 5(10) + 18 = 50 + 18 = 68°
math help, will mark brainliest
Answer: 1 question Solve for x
x=
3
−y−2z−10
Solve for y
y=−3x−2z−10
Step-by-step explanation: Steps for Solving Linear Equation
3x+y+2z=−10
Subtract y from both sides.
3x+2z=−10−y
Subtract 2z from both sides.
3x=−10−y−2z
The equation is in standard form.
3x=−y−2z−10
Divide both sides by 3.
3
3x
=
3
−y−2z−10
Dividing by 3 undoes the multiplication by 3.
x=
3
−y−2z−10
A road has a speed limit sign at the beginning that is noticed by 84 % of people. 95 % of people who didn't notice the sign speed on the road. Of those who notice the sign, 75 % follow the speed limit.
How many percent of people speeding on this road noticed the sign? In other words, how many people on this road speed on purpose. Give your answer in percentage.
The percentage is the indicating hundredth thus the percentage of people speeding on this road who noticed the sign would be 84% - 75% = 9%.
What is the percentage?The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.
As per the given,
Percentage of people who notice the speed limit = 84%
The percentage of people who notice the sign and follow the speed limit is 75%.
Therefore, 84% - 75% = 9% are the percentage speeding and noticed.
Hence "The percentage is the indicating hundredth thus the percentage of people speeding on this road who noticed the sign would be 84% - 75% = 9%".
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factorize 6x²y-10xy+15x-25
The factors of 6x²y-10xy+15x-25 are (3x-5)(2xy+5).
According to the question,
We have the following expression:
6x²y-10xy+15x-25
In this expression, we can not use any identity to solve it further.
Now, in order to find the factors of this expression, we will find the common terms from the first two terms and one common factor from the last two terms.
Taking 2xy as a common factor from first two terms and 5x as a common factor from the last two terms:
2xy(3x-5)+5(3x-5)
Taking (3x-5) as a common factor from the above expression:
(3x-5) (2xy+5)
Hence, the factors of 6x²y-10xy+15x-25 are (3x-5)(2xy+5).
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If A = 1
a.
-2 6 1
b.
-5
9 -6 and B= -2 -7
1
10
-99-9
-22 30 32
-16 -78 48
42 24 30
-32 72 30
-2
26 -20
-50
94 -58
9 6
4
-1
Ń
find-4A + 6B.
C.
d.
38
8
30
-78
-40
6 0
42
58
-96
8 0 -18
14
82 -52
The answer is option (a)
Hope this answer helps you
Mr. Harris is adding tiles to his patio area. On Monday, he tiled 1/3 of his patio, and on Tuesday, he tiled 1/2 of the patio area. How much would he have left to tile on Wednesday?
Responses
On Wednesday 1/6 of the patio area is left to tile
Let the patio area be x
On Monday, he tiled 1/3 of his patio = 1/3 x
on Tuesday, he tiled 1/2 of the patio area = 1/2 x
The area left to tile on Wednesday
= x - (1/3 x + 1/2 x)
x - 1/3 x - 1/2 x
(6x - 2x - 3x)/6
= 1/6 x
The area left to tile on Wednesday is 1/6 of the patio area
Therefore, 1/6 of the patio area is left to tile on Wednesday
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PLEASE HELP ME I NEED HELP ADDMEDIATLY
Store A sells 2 bags of chips for $2.50. Store B sells 3 bags of chips for $3.25. Which store offers the better deal? Show your work.
Answer:
Store B
Step-by-step explanation:
Store A: $2.50 ÷ 2 = $1.25
Store B: $3.25 ÷ 3 = $1.08 (to nearest cent)
Store B offers the better deal.
A total of 600 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student tickets sold was three times the
number of adult tickets sold. How many adult tickets were sold?
Answer:
150 adult tickets where sold
Step-by-step explanation:
If we multiply 150 times 3 that gives us 450, which acounts for all the students. And 150 is the number thats left of adults that adds up to 600.