Solution
For this case we can use two points (0,1080) and (24,0)
And we can find the slope on this way:
\(m=\frac{y_2-y_1}{x_2-x_1}=\frac{1080-0}{24-0}=45\)And then we can find the intercept on this way:
\(1080=45(0)+b\)b= 1080
And the equation for the line is given by:
\(y=45x+1080\)The solid glass award that Jillian was given has a total height of 15 inches as shown.
A rectangular pyramid with a base of 6 inches by 4 inches and a height of 15 inches. A rectangular prism with a length of 6 inches, width of 4 inches, and height of 2 inches.
What is the total volume of glass used to make the award?
A) 120 inches cubed
B) 152 inches cubed
C) 168 inches cubed
D) 204 inches cubed
Answer:
the answer is a
Step-by-step explanation:
Can i please have brainliest. I really need it
Thanks
Answer:
120 ich or A
Step-by-step explanation:
X
What is the multiplicative inverse of 5/6
The multiplicative inverse of 5/6 as required to be determined in the given task content is 6/5.
What is multiplicative inverse?It follows from the task content that the multiplicative inverse of the given number; 5/6 is required to be determined.
By definition; it follows that the Multiplicative inverse of an expression refers to its reciprocal. It is the value that, when multiplied by the original, give a product of 1 (the multiplicative identity element).
So,
5/6 × 6/5
= 30/30
= 1
Hence, 6/5 is the multiplicative inverse of 5/6
Read more on multiplicative inverse:
https://brainly.com/question/21973802
#SPJ1
the diameter of a circle is 8. what is the area of the circle in terms of π?
Answer:
Step-by-step explanation:
radius r = 8/2 = 4
area of circle = πr² = 16π units²
Plz whoever has the best answer i'll give brainliest.
Answer:
Hmmm... There's no question which leads to the reasoning that there is no answer.
Step-by-step explanation:
What is the solution to the system of equations below?
314
-
12 and y=-4x-31
O (-4,-15)
O (-4,-12)
O (4,-9)
O (4,-47)
The solution of the given equations is (-4,-15). Hence option A is the correct option.
What is an equation?
If two expressions are connected with an equal sign and at least one expression contains a variable then it is an equation.
Given equations are
y=3/4x-12 ....(i)
y=-4x-31 ....(ii)
Equate equations (i) and (ii)
3/4x-12 = -4x-31
Add 12 on both sides:
3/4x = -4x-31 + 12
Add 4x on both sides:
3/4x + 4x = -31 + 12
19/4x = -19
x = -4
Putting x=-4 in equation (ii)
y=-4(-4)-31
y = 16 - 31
y = -15
To learn more about the system of equations click on the below link:
https://brainly.com/question/29026989
#SPJ1
The graph of a system of two linear equations is a pair of lines that intersect at the point (5,7). How many solutions does this system have?
A. 1
B. 0
C. Infinitely many
D.2
PLEASE HELP!!! ♡
Answer:
one solution
one solution
one solution
one solution
Answer:
1 SOLUTION :)) a lot of people said that and it works trust me !
Step-by-step explanation:
Enter the missing exponent.
Answer:
The missing exponent is 20.
Step-by-step explanation:
\(y^{29} / y^{20} = y^9\)
upper exponent minus lower exponent.
help, can you tell if im right?
Answer:
Yes, all of your answers are 100% correct
Step-by-step explanation:
You correctly set the values equal to the numerator or denominator (minutes = minutes) and any value will equal the same value.
In a certain video game, there is a mini-game where the main character can choose from a selection of twenty
presents. The presents are wrapped, so the character does not know what is in them. If 7 presents contain money, 3
presents contain gems, 6 presents contain ore, and 4 presents contain fish, what is the probability that the main
character does not choose a present that contains a gem?
Your answer should be an exact decimal value.
The probability of randomly selecting a present that does not contain a gem is
Answer:
There are a total of 20 presents, and 3 of them contain gems. Therefore, there are 20 - 3 = 17 presents that do not contain gems.
The probability of randomly selecting a present that does not contain a gem is 17/20 = 0.85 or 85%.
hope it helps you...
Suppose that the width of a rectangle is 4x and it’s length is 6x. Write an algebraic expression for the area of the rectangle in terms of x
Answer:
4x+4x x 6x+6x =20x mark me as brilliant
Round 93,411 to nearest tens
Step-by-step explanation:
Round 93,411 to nearest tens
93,411
93,410
sorry if wrong
If spring A has a spring constant which is 8 times spring B's spring constant, what is the ratio of their periods? Which is the stiffer spring?
If spring A has a spring constant which is 8 times spring B's spring constant then the ratio of their periods is = 9K and \(\frac{9K}{8}\)
Spring stiffness is a characteristic that describes the relationship between load and deflection. If k is stiffness, P is load, and x is deflection, P = kx. The smaller the deflection at a constant load, the stiffer the spring, k.
Given that,
If spring A has a spring constant which is 8 times spring B's spring constant,
Let us assume,
A spring is cut into two parts of length La and Lb
Also given that La : Lb
La : Lb = 1 : 8
The total of spring constant is = 1 + 8 = 9
If the length of spring is L , then La
La = \(\frac{L}{9}\)
And length of B , Lb
Lb = \(\frac{8L}{9}\)
We know, for spring force , spring constant or stiffness of spring is inversely proportional to length of spring .
K ∝ 1 / L
If initial spring constant is k then,
kL= KaLa = KbLb
Then,
Ka = \(\frac{K}{\frac{1}{9} }\)
Ka = 9K
And Kb = \(\frac{K}{\frac{8}{9} }\)
Kb = \(\frac{9K}{8}\)
Hence, stiffness of A is given by, 9K
Stiffness of B is given by \(\frac{9K}{8}\)
Therefore,
If spring A has a spring constant which is 8 times spring B's spring constant then the ratio of their periods is = 9K and \(\frac{9K}{8}\)
To learn more about Stiffer spring ratio problems visit :
brainly.com/question/14944249
#SPJ4
BRAINLLY!!! PLEASE HELP I'll GIVE BRAINLY!!!!
Answer: 495
Step-by-step explanation:
Since the foil covers the object and does not fill it, this problem is a matter of surface area rather than volume. Surface area is finding the area of all the faces, and adding them up.
Since we know the two triangular ends are not covered, this actually makes the problem easier.
Going with our definition of surface area above, we do:
(16.5 * 13) + (16.5 * 12) + (16.5 * 5) = 495
Our answer is 495
Answer:
C: 495ft²
Step-by-step explanation:
You need to calculate and add the surface area of the three rectangular faces of this prism. The two triangular ends are not covered in the foil as stated in the question. You find this like any other rectangle by multiplying the length by the width. (a = lw)
Let's start with the bottom rectangle, it has dimensions of 5x 16.5ft
5 * 16.5 = 82.5
Now the rectangle on the right side.
13 * 16.5 = 214.5
Now the left or back side rectangle.
12 * 16.5 = 198
Now add these values together
82.5 + 214.5 + 198 = 495ft²
graph the line through (-3,1) with slope 3/2
Answer:
Pencil on y: 5.5 then 3 down and 1 to the right. (You can trace a line with 2 points, but can continue the pattern: 3 down, 1 to the right)
Step-by-step explanation:
y- intercept = 1 - (3/2)(-3)
y-intercept = 1 + 9/2 = 11/2 = 5.5
y = 3/2x + 11/2
help!! geometry
jjjjjjjjjjjjj
Answer:
107
Step-by-step explanation:
Since they are congruent triangles angle B is the same as angle D.
To find D, all angles add to 180 degrees, so:
41+32+x=180
73+x=180
X=107
So angle B is 107 degrees
Three points are collinear.
never
sometimes
always
Answer: sometimes
Step-by-step explanation: Three points are sometimes collinear.
In the diagram shown, points B, G, and A are collinear
because these points all lie on the same line.
However, let's look at points A, B, and D.
Since points A, B, and D do not all lie
on the same line, they aren't collinear.
So we know that three points can sometimes be collinear.
pls help me i can’t fail
Answer:
$330
Step-by-step explanation:
\(\frac{24}{198} =\frac{40}{x}\)
Cross multiply:
24x= 198(40)
to get x=330
3. A website is offering a promotion, during which customers can buy up to 100 photos for a flat fee. The
cost per photo varies inversely with the number of photos a customer buys, as shown in the table below.
What function models the data?
To determine the function that models the data, we need to analyze the relationship between the cost per photo and the number of photos a customer buys. From the given information, we can observe that the cost per photo varies inversely with the number of photos. This implies that as the number of photos increases, the cost per photo decreases, and vice versa.
To model this relationship, we can use the inverse variation equation, which can be expressed as:
y = k/x
Here, y represents the cost per photo, x represents the number of photos, and k is the constant of variation.
Let's examine the data given in the table to find the value of k:
Number of Photos (x) Cost per Photo (y)
10 10
25 4
50 2
100 1
We can see that as the number of photos increases, the cost per photo decreases. We can use any pair of values from the table to solve for k. Let's choose the pair (50, 2):
2 = k/50
Solving for k:
k = 2 * 50 = 100
Now that we have the value of k, we can write the function that models the data:
y = 100/x
Therefore, the function that models the data is y = 100/x, where y represents the cost per photo and x represents the number of photos a customer buys.
Vitamins B1 and B2 are found in two foods F1 and F2. 1 unit of F1 contains 3 units of B1 and 4 units of B2. 1 unit of F2 contains 5 units of B1 and 3 units of B2 respectively. Minimum daily prescribed consumption of B1 & B2 is 50 and 60 units respectively. Cost per unit of F1 & F2 is Rs. 6 & Rs. 3 respectively. Formulate as LPP
The Linear Programming Problem (LPP) formulation for the given scenario is to minimize the cost (6x + 3y) subject to the constraints 3x + 5y ≥ 50, 4x + 3y ≥ 60, x ≥ 0, and y ≥ 0, where x represents the number of units of F1 consumed and y represents the number of units of F2 consumed.
To formulate the given problem as a Linear Programming Problem (LPP), we can define the decision variables, objective function, and constraints as follows:
Let:
x = number of units of F1 to consume
y = number of units of F2 to consume
Objective Function:
Minimize the cost of consumption, which can be expressed as:
Cost = 6x + 3y (since the cost per unit of F1 is Rs. 6 and F2 is Rs. 3
Constraints:
B1 consumption constraint:
The daily prescribed consumption of B1 should be at least 50 units.
Considering the composition of B1 in F1 and F2, we have:
3x + 5y ≥ 50
B2 consumption constraint:
The daily prescribed consumption of B2 should be at least 60 units. Considering the composition of B2 in F1 and F2, we have:
4x + 3y ≥ 60
Non-negativity constraint:
The number of units of F1 and F2 consumed cannot be negative, so we have:
x ≥ 0
y ≥ 0
The formulated LPP can be summarized as follows:
Minimize: Cost = 6x + 3y
Subject to:
3x + 5y ≥ 50
4x + 3y ≥ 60
x ≥ 0
y ≥ 0
By solving this LPP, we can determine the optimal values of x and y, which represent the number of units of F1 and F2 to consume in order to meet the minimum daily prescribed consumption of B1 and B2 while minimizing the cost of consumption.
For similar question on Linear Programming Problem (LPP).
https://brainly.com/question/29572263
SPJ11
1. Marcus bought a $40.00 tennis racket. He has a coupon for 20% off. The Sales tax where he bought the tennis racket is 6%. a. How much money will Marcus save with the coupon?
Answer:
$33.92
Step-by-step explanation:
First, we have to find how much the sale price for the tennis racket is before tax.
100% - 20% = 80% Marcus has to pay 80% of the original price.
80% * 40 = .8 * 40 = 32
Marcus has to pay $32 for the tennis racket before tax.
6% = .06 (tax percentage)
.06 * 32 = 1.92 ————> tax
Add the tax with the sale price.
32 + 1.92 = 33.92
Marcus has to pay $33.92 for the tennis racket.
I hope this helped and please mark me as brainliest!
What is the total perimeter of this figure?
34.71 ft
31.71 ft
39.42 ft
36.42 ft
The rectangle's circumference is 27+ (3/2) fee and one of its sides is a semicircle.
We can start by finding the perimeter of the rectangle, which is simply the sum of the lengths of all four sides:
Perimeter of rectangle = 2(length + width) = 2(12 + 3) = 30 feet
Next, we need to find the perimeter of the semicircle.
The diameter of the semicircle is equal to the width of the rectangle, which is 3 feet. The formula for the perimeter of a semicircle is:
Perimeter of semicircle = (π/2) x diameter + diameter
Plugging in the values, we get:
Perimeter of semicircle = (π/2) x 3 + 3 = (3/2)π + 3
Now, we can add the perimeter of the semicircle to the perimeter of the rectangle to get the total perimeter:
Total perimeter = Perimeter of rectangle + Perimeter of the semicircle- 2*diameter of the semicircle
= 30 + (3/2)π + 3 - 3*2
= 27+ (3/2)π
Therefore, the perimeter of the rectangle with a semicircle on one side is 27+ (3/2)π feet, or approximately 31.71 feet (rounded to two decimal places).
Learn more about perimeter here:
https://brainly.com/question/6465134
#SPJ1
the amount of paint needed to cover a wall is proportional to its area. the wall is rectangular and has an area of 6z2 6z square meters. factor this polynomial to find possible expressions for the length and width of the wall. (assume the factors are polynomials.)
On factoring the polynomial 6z² + 6z the values for length and width are obtained as 6z and z + 1.
What is a polynomial?
Polynomial is formed composed of the phrases Nominal, which means "terms," and Poly, which means "many." An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial.
We can factor the polynomial 6z² + 6z by taking out the greatest common factor, which is 6z -
6z² + 6z = 6z(z + 1)
This means that the area of the wall is equal to 6z(z + 1) square meters. Since the area of a rectangle is given by the product of its length and width, we can write -
6z(z + 1) = length × width
Therefore, the possible expressions for the length and width of the wall are -
length = 6z
width = z + 1
or
length = z + 1
width = 6z
Both of these expressions give a product of 6z(z + 1), which is equal to the area of the wall.
We can switch the roles of length and width, so there are two possible expressions for the dimensions of the wall.
Therefore, the length is 6z and width is z + 1.
To learn more about polynomial from the given link
https://brainly.com/question/24662212
#SPJ1
Identify the next number in the following sequence
25 49 97 ?
Select only one answer
- 124
- 171
- 139
- 193
Answer:
the correct answer is 193
Step-by-step explanation:
25×1-0=25
25×2-1=49
49×2-1=97
97×2-1=193
A garden is 15 feet long by 5 feet wide. The length and width of the garden will each be increased by the
same number of feet. This expression represents the perimeter of the larger garden:
(2 + 15) + (x + 5) + (x + 15) + (x + 5)
Which expression is equivalent to the expression for the perimeter of the larger garden?
Select all that apply.
A. 4x + 40
B. 2(2x + 20)
C. 2(x + 15)(x + 5)
D. 4(x +15) (x + 5)
E. 2(x + 15) + 2(x + 5)
Answer:
A, B, E
Step-by-step explanation:
Help me please, I’m very confused on what to do
Just add the powers while it is multiply
-1+(-3)
= -1 - 3
= -4
So it is \(2^{-4}\)
Use π = \frac{22}{7}: Henry bought exactly the right amount of fencing to put around his circular herb garden, which has a diameter of 14 feet. Then he decides to make the garden larger by doubling the diameter. How much more fencing does Henry need to purchase to enclose the new garden?
The answer of the given question based on the circle is , Henry needs to purchase an additional 44 feet of fencing to enclose the new garden.
What is Circumference?Circumference is distance around edge of circular object. It is same as perimeter of circle. The circumference of a circle can be calculated using the radius of the circle, which is half the diameter.
The circumference of circle with diameter d is given :
C = πd
Using the given diameter of 14 feet, the circumference of the original garden is:
C1 = πd1 = (22/7) * 14 = 44 feet
When the diameter is doubled to 28 feet, the circumference of the new garden is:
C2 = πd2 = (22/7) * 28 = 88 feet
To find how much more fencing Henry needs to purchase to enclose the new garden, we need to subtract the original circumference from the new circumference:
C2 - C1 = 88 - 44 = 44 feet
Therefore, Henry needs to purchase an additional 44 feet of fencing to enclose the new garden.
To know more about Distance visit:
https://brainly.com/question/71956
#SPJ1
In 2004, 50 out of every 100 drivers at the National Trucking Company passed their driver's license exam on their first try. In 2005, 62 of the drivers passed on their first attempt. What was the percent increase in the passing rate?
Answer:
I believe it's a 12 percent increase.
Step-by-step explanation:
50/100= 50%
62/100= 62%
62%-50%=12%
Spaces that may be defined by rows of columns, rows of trees, variations in the ground plane (floor) levels and textures, variations in ceiling heights, etc. are called
Answer:
Conceptual spaces
Step-by-step explanation:
Spaces that may be defined by rows of columns, rows of trees, variations in the ground plane (floor) levels and textures, variations in ceiling heights, etc. are called Conceptual Spaces.
A conceptual space is formed from geometric representations based on a number of qualitative dimensions. The theory will emphasize the constructive aspect of cognitive science.
The given situation represents Conceptual spaces.
What are Conceptual spaces?It refers to the spaces where the rows of columns, rows of trees, variations in the levels and textures of the ground plane should be treated as the Conceptual Spaces. It is created from the representation of the geometric situation that depend upon the number of qualitative dimensions.
Therefore, we can say that it should be the Conceptual spaces.
Learn more about plane here: https://brainly.com/question/24600215
68-95-99.7 Rule
So
LEARNING OBJECTIVE: Identify the percent of data that is between two values
using a given standard deviation, mean, and the 68-95-99.7 rule.
68
At a nearby frozen yogurt shop, the mean cost of a pint of frozen yogurt is $1.50
with a standard deviation of $0.10.
Assuming the data is normally distributed, approximately what percent of
customers are willing to pay between $1.30 and $1.70 for a pint of frozen
yogurt?
T
9514 1404 393
Answer:
95%
Step-by-step explanation:
The given limits differ from the mean by ...
1.30 -1.50 = -0.20
1.70 -1.50 = 0.20
These values are 2 × the standard deviation of 0.10. The 68-95-99.7 rule tells you that 95% of the population lies within 2 standard deviations of the mean.
For this question, that means 95% of customers are willing to pay between $1.30 and $1.70.
Hello! Could someone please help explain how to solve this to me please and an answer would be nice! Thanks! :)
if we notice the tickmarks on the triangle, we can see the all sides are equal, namely is an equilateral triangle, and if all sides are equal, then all interior angles are equal as well.
Let's recall that the sum of all interior angles in a triangle is 180°, now if we divide that by 3, that gives us 60, namely each angle in the equilateral triangle is 60°, that means
\(10x=60\implies x=\cfrac{60}{10}\implies \boxed{x=6} ~\hfill 12y=60\implies y=\cfrac{60}{12}\implies \boxed{y=5}\)