Answer:
1, It has a definite volume but no definite shape.
Step-by-step explanation:
Volume is the amount of space that something takes up. A liquid can only take up a certain amount of space, but it's shape will always depend on what container it is in.
They estimate that their current (older) fridge, which they got for free, costs them about $18 a month in electricity charges to operate. they found a new fridge that costs $1,060 to purchase and would cost only around $6 a month in electricity charges. the new fridge comes with a 10-year warranty, so they assume the new fridge to last for 10 years without any extra repair or replacement fees. if they keep their old fridge, then they assume they will need to pay around $210 sometime over the next 10 years in maintenance costs to keep it running. (for this comparison, assume they set aside the money to maintain the old fridge right at the beginning of the 10 years, even though they probably won't need the money until several years later.) let x represent the number of months. let y represent total cost in dollars.
The cost of purchasing a new fridge with a 10-year warranty and low electricity consumption is $1,060, and the equation that represents its cost is y = 6x + 1060. The cost of keeping an old fridge running for 10 years and the equation that represents it is y = -1.5x + 210.
They estimate that their current (older) fridge, which they got for free, costs them about $18 a month in electricity charges to operate. They found a new fridge that costs $1,060 to purchase and would cost only around $6 a month in electricity charges. The new fridge comes with a 10-year warranty, so they assume the new fridge to last for 10 years without any extra repair or replacement fees. If they keep their old fridge, then they assume they will need to pay around $210 sometime over the next 10 years in maintenance costs to keep it running.
Let x represent the number of months. Let y represent the total cost in dollars.
Cost of keeping the old fridge running for 10 years:
Total maintenance cost over the next ten years if they keep their old fridge = $210
Let's consider x as the number of months. Therefore, 10 years is equivalent to 120 months. Hence, the monthly cost of maintaining the old fridge is $210/120 = $1.75/month.
Energy cost for the old fridge = $18/month
Energy cost for the new fridge = $6/month
Initial cost of purchasing a new fridge = $1,060
Therefore, the equation for the cost (y) of operating an old fridge is given by:
y = 18x + 1.75(120 - x) = 210 + 16.5x
y = 210 + 16.5x - 18x
y = -1.5x + 210
As we know, the new fridge has a 10-year warranty. Therefore, it is assumed that there is no extra repair or replacement fee. Therefore, the equation for the cost (y) of operating a new fridge is given by:
y = 6x + 1060
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Find the slope of the line
Answer:
Slope is 1
Step-by-step explanation:
If you follow rise over run you can see you go up one and over to the left one making it 1/1 which is 1
Hope this helps
There's so many numbers in this one shape I'm confused ._.
Answer:
12 \(units^{2}\)
Step-by-step explanation:
All you have to do is do each shape then add them all up
small triangle:
a = b * h/2
a = 2 * 2/2
a = 4/2
a = 2
The area for the small triangle is 2
Sqaure:
a = b*h
a = 2*2
a = 4
The area for the sqaure is 4
Large triangle:
a = b*h/2
a = 6*2/2
a = 12/2
a = 6
The area for the larger square is 6
Now we add up all of the areas
2 + 4 + 6 = 12
The area for that shape is 12 \(units^{2}\)
Hint: We divide by 2 for the triangles bc it's half a shape not a full rectangle of square...
Hope this helped!
a county commissioner must vote on a resolution that would commit substantial resources to the construction of a sewer in an outlying residential area. her fiscal decisions have been criticized in the past, so she decides to take a survey of people in her district to find out whether they favor spending money for a sewer system. she will vote to appropriate funds only if she is convinced that a majority (more than 50%) of the people in her district favor the measure. what hypotheses should she test? h0: p
The county commissioner should test the hypothesis H0: p<=0.5 (null hypothesis) against the alternative hypothesis Ha: p>0.5.
This means that the commissioner assumes that the proportion of people in her district who favor the spending on a sewer system is equal to or less than 50%, and she wants to see if there is enough evidence to reject this hypothesis in favor of the alternative that the proportion is greater than 50%.
The commissioner needs to conduct a hypothesis test to determine if a majority of the people in her district favor the construction of a sewer system. She should test the null hypothesis H0: p<=0.5 against the alternative hypothesis Ha: p>0.5, where p is the proportion of people in her district who favor the spending on the sewer system.
The commissioner will only vote to appropriate funds if she is convinced that the proportion of people who favor the measure is greater than 50%.
In conclusion, by conducting a hypothesis test, the commissioner can determine whether a majority of the people in her district favor the spending on a sewer system and make an informed decision based on the evidence.
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Which expressions are equivalent to 7^-2•7^6
Choose two answers
A.7^2/7^-2
B.7^6/7^-2
C.7^-12
D.(7^2)^2
===========================================
Explanation:
The expression 7^(-2)*7^6 simplifies to 7^4
We use the rule a^b*a^c = a^(b+c). In this case a = 7, b = -2, c = 6
In short, we add the exponents.
----------
In choice A, we use the rule (a^b)/(a^c) = a^(b-c) where we're now subtracting the exponents.
Here we have the exponents subtract to b-c = 2-(-2) = 2+2 = 4. This shows that (7^2)/(7^(-2)) = 7^4
This is why choice A is one equivalent expression.
----------
Choice D is the other equivalent expression since
(7^2)^2 = 7^(2*2) = 7^4
The rule used here is (a^b)^c = a^(b*c). We're multiplying exponents now.
-----------
Alternatively you can find that 7^(-2)*7^6 = 2401 through use of a calculator.
Then go through each answer choice to see which also produce a result of 2401.
SOMEONE PLS HELP ASAP
Answer:
ok
Step-by-step explanation:
(a) without adding new vertices, add a single edge to the graph so that the new graph will have an euler path. which vertices does your new edge connect?
To add a single edge to a graph to create an Euler path, we must connect two existing vertices with an odd degree.
In graph theory, an Euler path is a path that visits every edge of a graph exactly once. However, not all graphs have an Euler path. If a graph has an Euler path, it must have either zero or two vertices with an odd degree. In this scenario, we are given a graph and are asked to add a single edge to create an Euler path.
To add a single edge to the graph, we must connect two existing vertices that have an odd degree. This is because adding a new vertex would change the degree of the graph and potentially affect the existence of an Euler path. Therefore, we must carefully consider the degree of each vertex before adding the edge.
Let's consider a graph:
A
/ \
B---C
/ \ / \
D---E---F
In this graph, vertices B, E, and F have an odd degree. To create an Euler path, we must connect two of these vertices with a new edge. Let's choose B and E, and add the edge (B, E) to the graph.
A
/ \
B---C
/ \ / \
D---E---F
Now, the graph has only one vertex with an odd degree, which is C. This means that the graph has an Euler path that starts at C, visits every edge exactly once, and ends at A.
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______is the score that falls exactly in the middle of the distribution of scores after they have been ranked from highest to lowest.
The score that falls exactly in the middle of the distribution of scores after they have been ranked from highest to lowest is known as the median.
The median is a measure of central tendency that is calculated by arranging the data points in order from smallest to largest and then identifying the middle value.Therefore, it is the value that separates the highest from the lowest 50% of the data, making it an ideal measurement for skewed data.
The median is the value that is halfway between the upper and lower quartiles of a dataset when it is divided into four equal parts. This measurement is less sensitive to outliers and extreme values in comparison to the mean.
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2.53 describe how the mean compares with the median for a distribution as follows: a. skewed to the left b. skewed to the right c. symmetric
When a distribution is skewed to the left, the mean is less than the median because the tail of the distribution is longer on the left side, which pulls the mean towards the lower values.
On the other hand, when a distribution is skewed to the right, the mean is greater than the median because the tail of the distribution is longer on the right side, which pulls the mean towards the higher values.
In a symmetric distribution, where the data is evenly distributed around the center, the mean and median are equal.
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99-7a^2 when a =3 please help!!!!!!!!!
Answer:
99-7a^2=36 when a =3
Step-by-step explanation:
99-7a²
99-7(3)²
99-7(9)
99-63
36
IM GIVING 100PTS & BRAINLIEST! -- ]
You are paid $10 per hour. You work 13 hours each week. Your taxes are federal, 10%; FICA, 7.65%; and state, 3%. You also contribute $30 to your company's retirement plan.
If you are paid weekly, how much is your realized income?
If i paid weekly, I realized my income is $73.155.
Answer:
Solution given;
1 hour =$10
13 hour = 13*10=$130
Taxes
federal :10%
FICA:7.65%
state: 3%
contribute to company: $30
now
My income each week :
$130-10%of $130-7.65% of $130-3% of $130-$30$130-$30-$13-$9.945-$3.9$73.155If 2 < 20x - 13 < 3. what is one possible value for x?
Answer:
one possible value for x is 31/40
Step-by-step explanation:
Let's isolate the 20x term. Add 13 to all three terms:
2 + 13 < 20x - 13 + 13 < 3 + 13
and this simplifies to:
15 < 20x < 16
Dividing all three terms by 20, we get:
15/20 < x < 16/20
A fraction halfway between 15/20 and 16/20 is (31/20)/2, so
one possible value for x is 31/40.
Check by substituting this into the original equation and checking whether that equation is now true:
2 <20(31/40) - 13 < 3
or
2 < 31/2 < 16, or 2 < 15.5 < 16 (this is true, so 31/40 is a solution)
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS ASAP
Answer:
The answer is 4 minutes
Step-by-step explanation:
I divided 825 by 3 and got 165. If you multiply 165 by all the factors, you get approximately 4 minutes. It's the closest. Try that one.
Find the volume of a pyramid with a square base, where the perimeter of the base is 5.1 in 5.1 in and the height of the pyramid is 2.7 in 2.7 in. Round your answer to the nearest tenth of a cubic inch.
The volume of the square pyramid, to the nearest tenth, is determined as: 1.5 cubic inch.
How to Find the Volume of a Square Pyramid?Volume of a pyramid is given as, V = 1/3 × a² × h, where:
a = side length of the square base
h = height of the pyramid
Given the following:
Perimeter of the base = 5.1 in.
Side length of the square base = 5.1/4
The height of the pyramid = 2.7 in.
Plug in the values into V = 1/3 × a² × h:
Volume of the square pyramid = 1/3 × (5.1/4)² × 2.7
Volume of the square pyramid = 1/3 × 1.625625 × 2.7
Volume of the square pyramid = 1.4630625
Volume of the square pyramid = 1.5 cubic inch (to the nearest tenth of a cubic inch).
Thus, the volume of the square pyramid with the given perimeter, to the nearest tenth, is determined as: 1.5 cubic inch.
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× + 2 + 2x + 3 = 4x PLS HELP ME
Answer: 8
Step-by-step explanation:
Answer:
I dont know what your supposed to do but i can tell you that x = 5 because if you simplify the equation you get 3x + 5 = 4x. Using this you can infer that a single x is equivalent to 5 since you need 5 to get from 3x to 4x.
Now change matrix B to a 3 x 3 matrix and enter these values for B:
B =
1.2 1.4 3.1
2.2 1.1 5.6
3.7 4.2 6.7
Then select A • B to calculate the product:
77 39 −33
1.2 1.4 3.1
2.2 1.1 5.6
3.7 4.2 6.7
=
c11 c12 c13
c11 =
c12 =
c13 =
Answer:
Step-by-step explanation:
56.1,12.1,23.6
Inverses, contrapositives and converses. Below are examples of mathematical statements you’ll encounter in this class. Assume x, y, a, b, c are integers.
If the difference x − y is even then x and y are also even.
If a divides b or a divides c then a divides bc. (Note: a divides b means that the fraction b/a is an integer. For example, 3 divides 6 but 3 does not divide 7.)
If x2 ≥ 100 and x ≥ 0, then x ≥ 10.
(i) (9 pts.) State the inverse, contrapositive and converse of each statement above. When possible, avoid using the word "not." Instead, replace "not even" with "odd", etc.
Recall that for P → Q,
contrapositive: ¬Q →¬P
converse: Q → P
inverse: ¬(P → Q) = ¬(¬P ∨ Q) = P ∧ ¬Q
(ii) (3 pts.) Then indicate their truth values. Thus, for each statement you must determine whether the statement itself, its inverse, contrapositive and converse are true or false. That’s four true/false answers for each statement.
1. Statement: True
Inverse: True
Contrapositive: True
Converse: True
2. Statement: True
Inverse: True
Contrapositive: True
Converse: True
3. Statement: True
Inverse: True
Contrapositive: True
Converse: True
(i)
Statement: If the difference x - y is even, then x and y are also even.
Inverse: If x and y are not even, then the difference x - y is not even.
Contrapositive: If x and y are not even, then the difference x - y is not even.
Converse: If x and y are even, then the difference x - y is even.
Statement: If a divides b or a divides c, then a divides bc.
Inverse: If a does not divide b and a does not divide c, then a does not divide bc.
Contrapositive: If a does not divide b and a does not divide c, then a does not divide bc.
Converse: If a divides bc, then a divides b or a divides c.
Statement: If x^2 ≥ 100 and x ≥ 0, then x ≥ 10.
Inverse: If x^2 < 100 or x < 0, then x < 10.
Contrapositive: If x^2 < 100 or x < 0, then x < 10.
Converse: If x ≥ 10, then x^2 ≥ 100.
(ii)
For each statement, we need to evaluate the truth values of the statement, inverse, contrapositive, and converse.
Statement: True
Inverse: True
Contrapositive: True
Converse: True
Statement: True
Inverse: True
Contrapositive: True
Converse: True
Statement: True
Inverse: True
Contrapositive: True
Converse: True
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(-1, -11) and (-6, -7) in simplified form please!
Graph the following:
a) y= 2(x-7)^2 -3 using 5 points
b) y= -(x+5)(x+1) using 3 points
A graph of this system of equations with the data points is shown in the image attached below.
How to graph this system of linear equations?In this scenario, we would use an online graphing calculator to plot the given system of equations by using five (5) points and three (3) points respectively;
y = 2(x - 7)^2 - 3 ........equation 1.
y = -(x + 5)(x + 1) ........equation 2.
Generally speaking, the solution to any system of equations is the point of intersection of the lines on the graph representing each of them.
In this scenario, the points that are located on the line of the graph of this equation y = 2(x - 7)^2 - 3 include the following:
Ordered pair (5, 5).
Ordered pair (10, 15).
Ordered pair (7, -3).
Ordered pair (5.775, 0).
Ordered pair (8.225, 0).
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What is the equation of the line through 1 2 which makes equal intercepts on the axis?
The equation of the line through \((1,2)\) which make equal intercepts on the axis \(x+y=3\)
The equation of the line through (1,2) makes an equal intercept on the axis
The formula of the intercept form is
\(\frac{x}{a} +\frac{y}{b} =1\)
If they make an equal intercept
\(a=b\\\frac{x}{a} +\frac{y}{a} =1\\x+y=a\)
Put the value of the point in the axis, and we get.
\(1+2=a\\a=3\)
Put the value in the equation, and we get.
\(x+y=3\)
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Which of the following equations have no solution? Check all that apply.
6x + 1 = 3(2x – 4)
2 – 5x = 7x – 12
4(3 – x) = 2(6 – 2x)
5(x + 2) = 2(x – 4)
–4(x + 3) = 4(–x – 1)
Answer:
–4(x + 3) = 4(–x – 1) and 6x + 1 = 3(2x – 4)
Step-by-step explanation:
Answer:
1 ans 5
Step-by-step explanation:
no solution –––
6x + 1 = 3(2x - 4)
6x + 1 = 6x - 4
6x - 6x + 1 = 6x - 6x - 4
1 ≠ -4
one solution
2 - 5x = 7x - 12
2 -5x + 5x = 7x + 5x - 12
2 = 12x - 12
2 + 12 = 12x - 12 + 12
14 = 12x
x = 14/12
infinite solutions
4(3 - x) = 2(6 - 2x)
12 - 4x = 12 - 4x
12 - 12 - 4x + 4x = 12 - 12 - 4x + 4x
0 + 0 = 0 + 0
0 = 0
one solution
5(x + 2) = 2(x - 4)
5x + 10 = 2x - 8
5x - 5x + 10 + 8 = 2x - 5x - 8 + 8
18 = -3x
x = -6
no solution –––
-4(x + 3) = 4(-x - 1)
-4x + 4x - 12 = -4x + 4x - 4
-12 ≠ -4
Clingman Dome, in the Great Smoky Mountains, is the highest point in Tennessee.
Clingman Dome is 6,643 feet above sea level. Use the information to answer questions 4-5.
a) Considering the scale factor, the height that she should build the model is of: 22.1 inches.
b) Essence has enough information to build the accurate scale model, as she needs only the scale and either the actual or the drawn model.
What are scales?An scale is defined as the relation between the actual length of a segment and the length of drawn segment, as follows:
Scale = Actual length/drawn length
The scale for this problem is given as follows:
Scale factor = 300 ft/1 in.
Which means that each inch on the drawing represents an actual height of 300 ft.
The height of the Clingman Dome is given as follows:
6,643 feet.
Considering the scale factor of 300 ft/1 in, the height of the drawing is obtained as follows:
6643/300 = 22.1 inches.
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A ski jacket has a price of $182.50. The sales tax rate is 7.2%. What is the sales tax for the jacket in dollars and cents?
Answer:
Sale Tax: $13.14
After-Tax Price: $195.64
Step-by-step explanation:
Leslie creates designer bracelets with gemstones. Her most recent order included a total of 7 bracelets. It takes 14 stones to make one bracelet. Write and solve an equation that represents how many stones were used for the order.
7s = 14; s = 2 stones
s/14 = 7 ; s = 98 stones
s + 7 = 14; s = 7 stones
s − 7 = 14; s = 21 stones
An expression that represents the number of bracelet Leslie designs is
s/14 = 7 ; s = 98 stonesHow to find the number of stones used for the orderInformation from the question include
Her most recent order included a total of 7 bracelets
It takes 14 stones to make one bracelet
let s represent stone
It takes 14 stones to make one bracelet means that one bracelet = 14 s
hence if 1 bracelet is 14 stones then 7 bracelet will be
1 bracelet = 14 s
7 bracelet = ?
cross multiplying
1 * ? = 7 * 14
? = 98 stones
the equation is written as
s/14 = 7 ; s = 98 stones
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Find the sum. (-7/2z+4)+(1/5z-15)
Answer:
-(33+110z)/10z
Step-by-step explanation:
(-7/2z +4)+(1/5z -15)
from BODMAS, solving the one in the bracket
First(-7/2z +4)+(1/5z -15)
Find the Lcm
[-7/2z +4] +[1/5z -15]
(7+8z)/2z +(1-75z)/5z
find the Lcm which is 10z
[5(-7+8z) + 2(1-75z)]/10z
[(-35+40z)+(2-150z)]10z
(-35+2+40z-150z)/10z
(-33-110z)/10z
-(33+110z)/10z
The sum of the expression {(-7/2z) + 4} + (1/5z) - 15} is - 6/5z - 11.
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.
The sum of {(-7/2z) + 4} + (1/5z) - 15}.
= (-7/2z) + (1/5z) + 4 - 15.
= (-14 + 2)/10z - 11.
= - 12/10z - 11. (LCM of 2z and 5z is 10z)
= - 6/5z - 11.
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So you helped 69 people and you get 340 dollars so how much money you get from helping 1 person let x represent the amount of money for 1 person round to the nearest whole number (please do it )
Answer:
x = 5
Step-by-step explanation:
So you just do 340/69 which gives you 4.927536232, and you round to the nearest whole number giving you 5.
Let f(x) = 2x² - 3x and g(x) = 5x - 1.
Find g[f(2)].
g[f(2)] =
Answer:
Step-by-step explanation:
To find g[f(2)], we need to evaluate the composite function g[f(2)] by first finding f(2) and then substituting the result into g(x).
Let's start by finding f(2):
f(x) = 2x² - 3x
f(2) = 2(2)² - 3(2)
= 2(4) - 6
= 8 - 6
= 2
Now that we have the value of f(2) as 2, we can substitute it into g(x):
g(x) = 5x - 1
g[f(2)] = g(2)
= 5(2) - 1
= 10 - 1
= 9
Therefore, g[f(2)] is equal to 9.
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Jackie weighed an Amazon box that was delivered to her home.The box weighed 192 ounces.How much does the box weight in pounds
Answer:
12 pounds
Step-by-step explanation:
You have to divide the mass value by 16.
The students at Plymouth South and the students at Plymouth North both planned trips to Six Flags. The students at South rented and filled 2 vans and 11 buses with 674 students. North rented and filled 6 vans and 14 buses with 882 students. Each van and each bus carried the same number of students. Find the number of students each van and In each bus. (Write your answer as an
Answer:
Number of vans = 7 students
Number of buses = 60 students
Step-by-step explanation:
Let
Number of vans = x
Number of buses = y
2x + 11y = 674 (1)
6x + 14y = 882 (2)
Multiply (1) by 3
6x + 33y = 2,022 (3)
6x + 14y = 882 (2)
Subtract (2) from (3)
33y - 14y = 2,022 - 882
19y = 1,140
y = 1,140 / 19
= 60
y = 60 students
Substitute y = 60 into
2x + 11y = 674 (1)
2x + 11(60) = 674
2x + 660 = 674
2x = 674 - 660
2x = 14
x = 14/2
= 7
x = 7 students
6. The temperature T at any point (x, y, z) in space is T = 400 xyz². Find the highest temperature at th surface of the unit sphere x² + y² + z² = 1. 7. The torsion rigidity of a length of wire is obtained from the formula N = If I is decreased by 2%, ri increased by 2%, t is increased by 1.5%, show that value of N diminishes by 13% approximately. Ball t²y4¹
To find the highest temperature at the surface of the unit sphere x² + y² + z² = 1, we need to maximize the temperature function T = 400xyz² subject to the constraint x² + y² + z² = 1.
To do this, we can use the method of Lagrange multipliers. Let λ be the Lagrange multiplier. We need to solve the following system of equations:
∂T/∂x = λ * ∂(x² + y² + z² - 1)/∂x
∂T/∂y = λ * ∂(x² + y² + z² - 1)/∂y
∂T/∂z = λ * ∂(x² + y² + z² - 1)/∂z
x² + y² + z² = 1
Taking the partial derivatives and setting them equal to zero, we have:
400yz² = 2λx
400xz² = 2λy
800xyz = 2λz
x² + y² + z² = 1
Simplifying the equations, we get:
200yz² = λx
200xz² = λy
400xyz = λz
x² + y² + z² = 1
From the first equation, we can solve for λ in terms of x, y, and z:
λ = 200yz² / x
Substituting this into the second equation, we have:
200xz² = (200yz² / x) * y
200xz² = 200y²z² / x
x = z
Similarly, from the second equation, we have:
y = z
Substituting these values into the equation x² + y² + z² = 1, we get:
2z² = 1
z = ±√(1/2)
Therefore, the highest temperature occurs at the points (±√(1/2), ±√(1/2), ±√(1/2)) on the surface of the unit sphere. To find the temperature at these points, we substitute the values of x, y, and z into the temperature function T = 400xyz²:
T = 400 * (±√(1/2)) * (±√(1/2)) * (±√(1/2))²
T = 400 * (1/2) * (1/2)
T = 100
Hence, the highest temperature at the surface of the unit sphere is 100.
Unfortunately, I'm unable to understand the statement "Ball t²y4¹" in question 7. Could you please provide more context or clarify the statement?
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