The dimensions 36 x 27 inches are too small to allow a 48-inch piece of glass to fit through it.
What is meant by dimensions?An object's dimension is a topological measure of the size of its covering properties. It is the number of coordinates required to specify a point on the object.A dimension is a measurement that includes things like length, width, and height. When you talk about an object's or place's dimensions, you're referring to its size and proportions. Dimensions are the powers to which basic units or quantities are raised in order to represent a specific physical quantity. <br> e.g., : In the gravitational constant formula, the length, mass, and time dimensions are 3, -1, and -2, respectively. The dimensional formula is defined as the physical quantity expressed in terms of its basic unit with proper dimensions. Dimensional force, for example. F = [M L T-2] It's because the Force unit is Newton, or kg*m/s2.To learn more about dimensions, refer to:
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There are two numbers. One number is twice the other number. The difference of the smaller number and half the larger number is 20.
An equation created to find the smaller number will have
.
The equations have no solution. Therefore, the two numbers does not exist.
How to find the numbers using equation?There are two numbers. One number is twice the other number.
The difference of the smaller number and half the larger number is 20.
The equation that can be use to represent the situation can be represented as follows;
Hence,
let the two numbers be x and y.
2x = y
x - 1 / 2 y = 20
Note the smaller number is x
Therefore, using substitution,
x - 1 / 2 (2x) = 20
x - x = 20
0 = 20
The value of x and y can't be solved from the equation formed.
Therefore, it has no solution.
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Which expression is equivalent to the given expression?
6y - 12
Answer: Y - 2
Step-by-step explanation: (6Y / 6) - (12 / 6) = Y - 2
Given that lines an and b are parallel and that m<6=65 , find m
Melissa wants to check the accuracy of the finance charge on her promissory note. She has a $6,000, four year loan at an APR of 3% A. What is Her monthly payment? B. What is her total of her monthly payments? C. What is the finance charge?
Based on amortization loan formula, Melissa should make a monthly payment of $4.21494.
What is meant by monthly payment?The amount paid each month to repay the loan over the course of the loan is known as the monthly payment. When a loan is taken out, not only the principal, or the original lent amount, but also the interest that accrues, must be repaid.
Assuming the loan exists compounded monthly, the total monthly payment exists estimated from the amortization formula as peruses:
[tex]$A=P(i(1+i)^n)/((1+i)^n-1)[/tex]
Where, A be the monthly payment
P be the amount borrowed = $ 6000
i be the monthly interest = 0.0311/12
n be the number of months = 4 × 12 = 48 months
Calculating the monthly payment:
substitute the values in the above equation, we get
[tex]$\frac{6000\left(\frac{0.03}{12}\left(1+\frac{0.03}{12}\right)^{48}\right)}{(1+0.03)^{48-1}}[/tex]
simplifying the above equation, we get
[tex]$=\frac{6000 \cdot \frac{0.03}{12}\left(1+\frac{0.03}{12}\right)^{48}}{(1+0.03)^{48-1}}$$[/tex]
[tex]$(1+0.03)^{48-1}=1.03^{47}$[/tex]
[tex]$=\frac{6000 \cdot \frac{0.03}{12}\left(\frac{0.03}{12}+1\right)^{48}}{1.03^{47}}$[/tex]
Multiplying the above equation,
[tex]$6000 \cdot \frac{0.03}{12}\left(1+\frac{0.03}{12}\right)^{48}= 16.90992 \ldots \\[/tex]
[tex]$=& \frac{16.90992 \ldots}{1.03^{47}} \\[/tex]
[tex]$1.03^{47}=4.01189 \ldots \\[/tex]
[tex]$=& \frac{16.90992 \ldots}{4.01189 \ldots}[/tex]
= 4.21494
Based on amortization loan formula, Melissa should make a monthly payment of $4.21494.
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Jim and Elaine were driving from Toronto to Ottawa, a distance of 400 kilometres. Jim drove 1⁄4 of the way. Then Elaine took over and drove 1⁄2 of the remaining distance. How far did they still have to travel?
(a) 100 km (b) 150 km (c) 200 km (d) 50 km (e) none of these
could you explain the solution?
B)150 km
Step-by-step explanation:
The total distance is 400km
and jim drove 1/4 of this distance so
400 x 1/4 = 100km
then subtract this from the total distance 400 - 100 = 300km
Elaine drove 1/2 of this remaining distance
300 x 1/2 = 150 km
Add this with the first result
100 + 150 = 250 km
this is the total disrance that they have treveled
how much do they have to go
400 - 250 = 150km meaning the answer is b
Stanley bought 47.8 pounds of melon and 0.3 pounds of cherries. How much fruit did he buy in all?
Answer: 48.1
Step-by-step explanation:
Examine the following table that represents some points on a line.
xy
-5
-3
1
3
-
5
ст
-
11
1575
LEL95
1
1
5
What is the slope-intercept form of the equation for this line?
When you know the slope of the line to be investigated and the given point is also the y intercept, you can utilise the slope intercept formula,
y = mx + b. (0, b). The y value of the y intercept point is denoted by the symbol b in the formula t.
Explain about the slope intercept ?Using a straight line's slope and the location of its y-axis intersection, the slope intercept equation can be used to determine the general equation of the line. Y = mx + b is the equation in slope intercept form.
The slope-intercept form is provided as y = mx + b, where m is the line's slope and b is the y-intercept. Using this form, we may determine the slope of a line. Here's an illustration. The slope of the line 6x - 3y = 5 should be determined. To convert this into the slope-intercept form, let's solve this for 'y'. The result is y = 2x – (5/3). We calculate the slope to be m = 2 by comparing this to the slope-intercept formula, y = mx + b.
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Use long division to find the quotient below.
(4x³ + 11x² +9) + (x+3)
OA. 4x²+2x+3
OB. 4x²-x+3
OC. 4x²+x+3
OD. 4x²-2x+3
Option B: 4x²-x+3
(4x³ + 11x² + 0x + 9) + (x+3) [here, we will include 0x to do long division]
Divide 4x³ by x to get first term of the quotient, 4x³
Then, take 4x² and multiply it with 3 and you will get 4x² + 12
Subtract 4x² + 12 from 4x³ + 11x².
Then, you will get the remainder as -x² + 0x
Now you have to repeat the same same process, divide -x² by x to get second term of quotient, -x
Then take -x and multiply with 3 and you will get -x²- 3x
You will get the remainder as 3x+ 9
Divide 3x by x to get the third term of quotient, 3
Then, take 3 and multiply with 3 and you will get 3x + 9
Subtract and you will get the remainder as 0.
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In a popular online role playing game, players can create detailed designs for their
character's "costumes," or appearance. Malik sets up a website where players can buy
and sell these costumes online. Information about the number of people who visited
the website and the number of costumes purchased in a single day is listed below.
40 visitors purchased no costume.
82 visitors purchased exactly one costume.
6 visitors purchased more than one costume.
Based on these results, express the probability that the next person will purchase
more than one costume as a decimal to the nearest hundredth.
The probability that the next person will purchase
more than one costume is 0.05
In the question, we have been given that in a popular online role-playing game, players can create detailed designs for their character's "costumes," or appearance.
Malik sets up a website where players can buy and sell these costumes online.
The information about the number of people who visited the website and the number of costumes purchased in a single day is:
40 visitors purchased no costume.
82 visitors purchased exactly one costume.
6 visitors purchased more than one costume.
We need to find the probability that the next person will purchase
more than one costume.
The total number of visitors the site :
40 + 82 + 6 = 128
The number of visitors purchased more than one costume = 6
Thus, the probability that the next person will purchase no costume would be,
P = 6/128
P = 0.046
P = 0.05
Therefore, the probability that the next person will purchase
more than one costume is 0.05
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Answer:
0.03
Step-by-step explanation:
Find the solution for the equation using a table.
x^2 - 324 = 0
(how do I find the x-values to use for the table)
The x values of the polynomial expression given as x^2 - 324 = 0 are x = 18 and x = -18
How to factor the polynomial?The polynomial expression is given as:
x^2 - 324 = 0
Rewrite as
x^2 + 0 - 324 = 0
Express 0 as 18x - 18x
So, we have:
x^2 + 18x - 18x - 324 = 0
Factorize the polynomial expression
x(x + 18) - 18(x + 18) = 0
Factor out x + 18
(x - 18)(x + 18) = 0
Split the factors
x - 18 = 0 and x + 18 = 0
Solve for x
x = 18 and x = -18
To use a table, we have
x^2 - 324 = 0
Set x = some values and calculate the expression
x x^2 - 324
3 -315
6 -288
9 -243
18 0
Hence, the values of x are x = 18 and x = -18
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a right isosceles triangle has legs 6 meters long each. find the length of the hypotenuse to the nearest tenth of a meter
Answer:
6√2, or about 8.5 meters
If x > 6, then -7 is a solution.
True
False
Answer:
false
Step-by-step explanation:
because
i dont know how to explain but hope this help you
-7,-6,-5,-4,-3,-2,-1,0,1,2,3,4,5,6
as you know,negative number also know the smallest number compared to positive number, but but sometimes negative number can be the big number such as : x > -7 then the answer is -1 because -1 near at 0, imagine you went in deep sea 0 between the sky and the sea, and 6 above the sky, -7 bottom of the sea, if you go down,means that your going bottom of the sea,while if you go up,itll increase cuz youre going up
the further a negative number is from the origin, the smaller the value of the number, the further away the positive number, the greater the value of the number
HOPE THIS HELP E
Answer:
The answer is False.
june says that there should be a decimal point in the quotient below after the 4. is she correct? use numbers sense to explain your answer.
The information that June says that there should be a decimal point in the quotient below after the 4 is incorrect.
How to illustrate the information?From the information given, it should be noted that it's important to find the division. This will be:
= 43.94 / 5.2
= 8.4.5
Based on the information, June says that there should be a decimal point. It should be noted that from the question, the decimal wasn't illustrated.
Therefore, June is incorrect. This is because the decimal is before 4.
The complete question is written below.
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Given that June says that there should be a decimal point in the quotient below after the 4. The number given is 43.94/5.2 = 845 is she correct?
Write an equation of the line containing the given point and parallel to the given line.
(5, -9); 7x-9y= 2
Type an equation using slope-intercept form or using the given point in point-slope form.
(Use integers or simplified fractions for any numbers in the equation.)
The equation using slope - intercept from the given point.
(a) y=8x-46
(b) 8x-y=46
what is slope ?
Whenever the equation of a line is written in the form y = mx + b, it is called the slope-intercept form of the equation. The m is the slope of the line. And b is the b in the point that is the y-intercept (0, b). For example, for the equation y = 3x – 7, the slope is 3, and the y-intercept is (0, −7).
Step-by-step explanation:
-y=-8x+4
y=8x+4
We know that 8 is the slope, and if we need a equation parallel to this line, then it will have the same slope.
Substitute (6,2)
2=8(6)+b
2=48+b
b=-46
The final answer is y=8x-46
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Fill in the information about the absolute value functions below.
EXPLANATION:
We are given the absolute value functions below;
[tex]\begin{gathered} y=3|x| \\ y=-\frac{3}{4}|x| \\ y=-\frac{1}{2}|x| \\ y=-1|x| \end{gathered}[/tex]Note that for this function, we have a v-shaped graph, since the values of the output is always positive (absolute value) and the vertex is at (0, 0). Also, if the value of a in the function;
[tex]y=a|x|[/tex]is positive, the graph opens upwards, and if the value of a is negative;
[tex]y=-a|x|[/tex]then it opens downwards.
Therefore,
ANSWER;
[tex]\begin{gathered} y=3|x|\text{ Opens upwards} \\ y=-\frac{3}{4}|x|\text{ Opens downwards} \\ y=-\frac{1}{2}|x|\text{ Opens downwards} \\ y=-1|x|\text{ Opens downwards} \end{gathered}[/tex][tex]\begin{gathered} The\text{ equation with the narrowest graph;} \\ y=3|x| \end{gathered}[/tex][tex]\begin{gathered} The\text{ equation with the widest graph;} \\ y=-\frac{1}{2}|x| \end{gathered}[/tex]Electrical power (P) is measured in watts using the formula P = V · I where V is the voltage in volts and I is the current in amperes.
If there are 60 volts running to a light bulb of 174 watts, how much current is flowing through the light bulb?
current flowing through the light bulb is 2.2 Amperes
Step by step explanation:
Step 1:
Given the voltage = 60 Volts and power = 174 Watts.
Find the current using the formula , P = V . l
=> l = P/V=60/174= 0.3448275862
Solve the triangle ABC, if the triangle exists.
B = 31°06' a=37.5
b= 30.6
www
as needed.)
OB. There are 2 possible solutions for the triangle.
The measurements for the solution with the longer
mZA=
A = '' mZC='
side c are as follows.
The length of side c =
(Simplify your answer. Round to the nearest
degree as needed. Round to the nearest minute
as needed.)
The measurements for the solution with the shorter side c are as follows.
mZA =
'
mZC=
The length of side c =
(Simplify your answer. Round to the nearest
degree as needed. Round to the nearest minute
as needed.)
(Round to the nearest tenth as
needed.)
(Round to the nearest tenth as
needed.)
Given f(x) = 2x - 2, find f(-3).
Answer:
-8
Step-by-step explanation:
f(-3) = 2(-3) -2
f(-3) = -6 -2
f(-3) = -8
Write the ratios as reduced fractions.
(a) The ratio of "yes" to "no" answers is 5 to 4.
(b) The vote was affirmative by a 9 to 8 margin.
The ratios in their reduced fraction are 4:5 and 9:8 as they are in their simplest form.
Reduced fractions are what?a fraction whose lowest terms are obtained by multiplying the numerator by the highest common factor among its denominator and numerator. The reduced fraction of 8/12, for instance, is 2/3.
Divide the numerator and denominator of a fraction by the GCF to reduce it. (Writing a fraction in lowest terms is another name for this.) Sometimes, this is depicted as "cancelling" the common components.
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What is the slope of the line represented by y=x+9?
The slope is 1.
Explanation:
The equation of a line is written in "slope-intercept form as
HELLP me asap giving brainlyest to right answer
Answer:
Answer is y + 5 = -1(x-7)
Step-by-step explanation:
First find the slope, m = y2 - y1 / x2 - x1
so -5 -6 = -11, 7- (-4) = 11
m = -11/11 = -1
then plug into equation y-y1 = m(x-x1) so
Answer: The correct answer is the second one.
Step-by-step explanation:
That is the answer
What is the common difference between successive terms in the sequence?
0.36, 0.26, 0.16, 0.06, -0.04, -0.14,
Julie cashed a paycheck and repaid her brother $10 that she borrowed from him. She then spent $30 on fuel for her car and half of the remaining money on a new tent for camping. She bought a pair of running shoes for $29.45 and had $17.75 left. How much did Julie receive when she cashed her paycheck
Julie received an amount of $134.4 when she cashed her paycheck.
Let x be the amount of the paycheck.
She gave her brother ten dollars.
She then paid $30 for the car's petrol.
So she departed with an amount equal to x-40.
She now spent half of the remaining accounts on a new camping tent.
Spent camping = (x - 40)/2
Remaining = x - 40 - (x - 40)/2
She paid $29.45 for a pair of running shoes.
Therefore, remaining = x - 40 - (x - 40)/2 - 29.45
As per the question, she had $17.75 remaining.
So x - 40 - (x - 40)/2 - 29.45 = 17.75
Rearrange the terms and solve for x,
(x - 40)/2 = 47.2
x - 40 = 94.4
x = 134.4
Therefore, she received an amount of $134.4 when she cashed her paycheck.
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1. Here is the recursive definition of a sequence: f(1) = 10, f(n) = f(n-1)-1.5 for
nz 2.
a. Is this sequence arithmetic, geometric, or neither?
b. List at least the first five terms of the sequence.
c. Graph the value of the term f(n) as a function of the term number n for at least
the first five terms of the sequence.
sno ritw nobin
Answer:
Below in bold.
Step-by-step explanation:
f(1) = 10
f(2) = f(2-1) - 1.5 = 10 - 1.5 = 8.5
f(3) = f(2) - 1.5 = 7.
a. This is Arithmetic.
b. The first 5 terms are:10. 8.5. 7, 5.5, 4.
c. The first point on the graph will (1, 10).
It will be a straight line descending to the right.
p/3> 9 anyone know this??
Answer:
p > 37
Step-by-step explanation:
Multiply both sides by 3 so 9 x 3 is 27 so p > 37
Treat it like an equal sign and solve, but if you were to divide by a negative you would need to switch the sign, you don't need to though because you didn't divide by a negative in this one
Write the standard form of the line that passes through the given points. Include your work in your final answer. Type your answer in the box provided or use the upload option to submit your solution. (2,3) and (2,5).
ok
P1 = (2, 3)
P2 = (2, 5)
1.- Find the slope
slope = m = (y2 - y1) / (x2 - x1)
-Substitution
m = (5 - 3) / (2 - 2)
m = 2/0
The slope is a horizontal line because does not exist.
2.- Find the equation of the line
y - y1 = m(x - x1)
y - 3 = 0
y = 3 This is the standard form of your question.
find the area of a circle
Answer:
452.16 ft²
Step-by-step explanation:
find radius
24 : 2 = 12 ft
find area (πr²)π12² =
3.14 * 12² =
3.14 * 144 =
452.16 ft²
Answer: 452.16 ft
The formula given is πr², where π is 3.14, and r is radius.
radius is half the diameter, so first step is 24/2, which is 12. r = 12.
Then we apply it to the formula.
πr² = 3.14 x 12²
3.14 x 144
area = 452.16 ft
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In which relation is y not a function of x?
Hi guys I need help and I’m not sure cs the answer I got was wrong
Based on the rate of change and the points, the equation of the line in Point-Slope form was y = 2/3x - 4.17
The equation of the line in point-slope form was y = -1/5x - 2.8
How to find the equation of a line?The equation of a line takes the form:
y = mx + b
m is the rate of change
b is the y-intercept
We need to find the y-intercept because we have the rate of change and y and x values:
-6.5 = 2/3(-3.5) + b
-6.5 = -2.33 + b
b = -6.5 + 2.33
b = -4.17
The equation is:
y = 2/3x - 4.17
The equation for the second line takes the same form. So the y-intercept should be found first:
- 3 = - 1/5(1) + b
b = -3 + 1/5
b = -2.8
The equation of the line is:
y = -1/5x - 2.8
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The ounces of soda consumed by an adult next month are an example of a discrete random variable.
a. True
b. False
The ounces of soda consumed by an adult next month are examples of a discrete random variable, False
A discrete random variable are known as counts. This is because it takes on only a countable number of distinct values. This means a random variable can only be considered to be discrete if it can take on values that are countable in an interval, otherwise it can be continuous.
Now on the question of ounces of soda consumed by an adult next month is considered not to be discrete random variable. This is because ounces of soda or volume of soda consumed are countless and infinite in number.
Hence, the statement that says ounces of soda consumed by an adult next month are an example of a discrete random variable is False.
Choice b(False) is correct.
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