Answer:
D
Step-by-step explanation:
without knowing anything about the background of the function and what it is used for, I give it the max. possible domain (the set or interval of all possible input values).
and so,
Defined for all m >= 0 and n >= 0.
there is no information provided that would eliminate m = 0 or n = 0.
Jared wants to paint his room. The dimensions of the room are 12 feet by 15 feet, and the walls are 9 feet tall. There are two windows, each with dimensions 6 feet by 5 feet. There are two doors, each with dimensions 30 inches by 6 feet. If a gallon of paint covers about 350 square feet, how many gallons of paint will he need to put two coats of paint on the wall? List the steps to solve the problem and solve.
Answer:
1 ft = 12 in
1 in = (1/12) ft
30 in = (30/12) ft
30 in = 5/6 ft
The area of the surface that Jared needs to paint is:
2(12*9 + 15*9) - 2(5*6 + (5/6)*6) = 416 ft^2
Step-by-step explanation:
Answer:
3 gallons of paint
Step-by-step explanation:
Steps you have to take,
identifying the area of the 4 walls subtracting the windows and doors from the area.finding out how many gallons of paint it will take to cover the total area twiceFormula:
[tex](A = lw)(2) + (A = lw)(2) - (A = lw)(2) - (A = lw)(2)[/tex]
[tex](wall 1)(2) + (wall 3)(2) - (window)(2) - (door)(2)[/tex] ↑
door = 30in by 6ft
30in to feet = 2.5 feet
Lets start solving.[tex](A = 12(9))2 + (A = 15(9))2 - (A = 6(5))2 - (A =2.5(6))2[/tex]
[tex](A = 108)2 + (A = 135)2 - (A = 30)2 - (A = 15)2[/tex]
[tex](A = 216) + (A = 270) - (A = 60) - (A = 30)[/tex]
[tex]combine\\(A = 486) - (A= 90)\\(A = 396)[/tex]
two coats = A(2)396(2) =
792sq ft
We know that one gallon covers 350sq ft
792/350 =
2.26 gallons
(can't have .26 of a gallon so we round up)
it takes 3 gallons of paint Jared's roomFind p write your answer in simplest radical form
Answer:
[tex]p =[/tex] [tex]7\sqrt{2}[/tex]
Step-by-step explanation:
The side length ratio for a 45-45-90 angle triangle is [tex]1:1:\sqrt{2}[/tex]
The length of the bottom adjacent side of the 90-degree angle is 7, so p would be [tex]7\sqrt{2}[/tex]
You accidentally dropped a coin from the top of 12 stairs. What is the probability that it will land on the fifth step heads up?
This is a probability question! I need help ASAP
Answer:
The answer is 1/24
Step-by-step explanation:
1stepout of the 12 is the 5th so 1/12 and divid by 2 because you want it to land on heads.
Mr. Clinton chose 10 different test scores out of 50, and they are shown below. For the following set of data, find the mean test score, rounding to the nearest tenth (i.e. one decimal place)
{48, 36, 23, 19, 50, 50, 49, 47, 38, 20}
Answer:
38.0
Step-by-step explanation:
'Mean' is just the average of the 10 scores ....
add them all together and divide by 10
380 / 10 = 38
Write the equation of the line that passes through the points (4,-5)(4,−5) and (4,-7)(4,−7). Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line.
well, it's a vertical line, so, Check the picture below.
B is the midpoint of AC, what in the measure of AB if AC 82cm?
Answer:
AB = 41 cm
Step-by-step explanation:
If B is the midpoint of AC, then B splits AC into 2 equal halves: AB & BC.
Therefore, AB = ½ of AC.
Given, AC = 82 cm.
So,
AB = ½ × AC
AB = 82/2
AB = 41 cm
_____
Hope it helps ⚜
4.
Let the cost function f of the unusual planet that orbit the earth is given as follows:
Vx+c² - c
f(x)=
c>0
x
I
(a)
Find the domain of f?
(b) Explain how can you define ſ so that it is continuous at x=0?
b
(a)The domain of the function is, [tex]\rm x \geq -c^2 \ x\neq0[/tex]
(b)The given function is discontinuous at x=0.
What is the domain and range of a function?
Domain is the set of values for which the given function is defined. Range is the set of all values which the given function can output.
The standard function is;
[tex]\rm f(x)= \frac{\sqrt{x+c^2-c} }{x} , c > 0[/tex]
The domain of the given function is found as;
[tex]\rm x+c^2 \geq 0 \ x\neq 0 \\\\ x\geq-c^2 \ x\neq 0[/tex]
The domain of the function is,
[tex]\rm x \geq -c^2 \ x\neq0[/tex]
To find the function is continuous or not, we have to find the continuity;
[tex]\rm f(x) = \frac{\sqrt{ x+c^2-c}}{x} ,c > 0[/tex]
At x= 0 the function is undefined. So that the function is discontinuous at x=0.
Hence, The domain of the function is, [tex]\rm x \geq -c^2 \ x\neq0[/tex] and the function is discontinuous at x=0.
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Can you please Find x I’m trying to finish before school ends
Answer:
-7.35
Step-by-step explanation:
7/x = cos(60)
x = 7(cos(60))
x = 7/(-0.95)
x = -7.35
5 km= _ m I don't understand
5000
Step-by-step explanation:Measurements can be given in multiple units. Unit conversion is important, especially when dealing with formulas because sometimes only specific units work.
Metric System
In this case, the question is asking about kilometers (km) and meters (m), both of which are in the metric system. Unit conversions are easier in the metric system because it uses prefixes that give you extra information. Each of the prefixes means a different number.
Milli - 1/1000thCenti - 1/100thDeci - 1/10thDeca - 10Kilo - 1000These are not all of the possible prefixes, but they are the most common. This means that a decameter represents 10 meters and 1 millimeter is 1/1000 of a meter.
Conversion
Using the prefixes above, we can tell that 1 kilometer is 1000 meters. So, we can multiply whatever amount of kilometers we have by 1000. This will gives the number of meters.
5 * 1000 = 5000Thus, 5 km = 5000 m.
I don't understand. Help please.
Answer:
the H stands for hours. the E stands for money. because it says 10h that means she gets $10 per hour. that answers the first question. I don't understand the second part though. hope you get it!
Serika has hired Tom to build her a dollhouse. The dollhouse will be a scale model of her home, and the scale will be 2 inches :
3 feet.
The living room in Serika’s house is 18 feet by 12 feet and has wall-to-wall beige carpeting. How many square inches of
carpeting will Tom need for the living room in Serika’s dollhouse?
Answer:
96 square inches
Step-by-step explanation:
The scale is 2 inches : 3 feet
Thus for 18 feet in Serika's real house, the model is 18 * (2"/3') = 12 inches
For 12 feet in Serika's real house, the model is 12 * (2"/3') = 8 inches
Area of carpeting needed in Serika's dollhouse = 12" * 8" = 96 square inches
what transformation of figure 1 results and figure 2?
reflection
dialation
translation
Please show work and thank you
Answer: [tex]4\sqrt{7}[/tex]
Step-by-step explanation:
If [tex]AC=16, DC=7[/tex], then this means [tex]AD=9[/tex].
So, by the geometric mean theorem, [tex]DB=\sqrt{(9)(7)}=\sqrt{63}[/tex].
This means that by the Pythagorean theorem, [tex]BC=\sqrt{\left(\sqrt{63} \right)^{2}+7^{2}}=\boxed{4\sqrt{7}}[/tex]
Help finish this work I keep doing but the answer is still wrong
What type of expenses are mortgages, taxes, and property insurance?
Answer:
Typical household fixed expenses are mortgage or car payments, rent payments, real estate taxes and insurance premiums.
Mortgages, taxes, and property insurance are housing expense.
What are expenses?An expense is a cost that businesses incur in running their operations. Expenses include wages, salaries, maintenance, rent, and depreciation.
Given that, What type of expenses are mortgages, taxes, and property insurance.
They come under housing expenses.
Total housing expense adds up all the relevant ongoing costs needed to maintain homeownership. This will include monthly bills, insurance costs, taxes, and homeowners association dues in addition to mortgage interest and principal.
Hence, Mortgages, taxes, and property insurance are a housing expense.
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To the nearest tenth, what is the area of a circle whose diameter is 21 inches?
Use 3.14 for PI
Enter your answer in the box.
____in2
Drag each expression to the correct location on the table.
Simplify each exponential expression using the properties of exponents and match it to the correct answer.
answers from left
1. 1
2. 1/2
3. 2
4. 1
Question 5 of 25
Which graph shows a system with an infinite number of solutions?
A. Graph A
B. Graph C
C. Graph B
Answer:
The answer is Graph C.
Step-by-step explanation:
Both the equation of each other are the same in Graph C..
Answer:
B. Graph C
The lines are together, so every point they pass is a solution
During which year(s) did Henry collect more coins than Chris?
Answer:
Step-by-step explanation:
1. Henry - 800. Chris - 600. 800 + 600 = 1,400 coins · 2. henry - 600. Chris - 400. 600 - 400 = 200 coins · 3. because henry has 800 chris
i need help with this math
Answer:
(-0.6, 8.4)
Step-by-step explanation:
so first, we have to find out what x is. because y is equal to itself, we can substitute to get
[tex]x+9=-4x-6\\5x+9=6\\5x=-3\\x=-\frac{3}{5}[/tex]
now we can plug in the value of x to find y
[tex]y=-\frac{3}{5} +9\\y=8\frac{2}{5}=8.4[/tex]
your answer is written in the form (x,y) so the answer is (-0.6, 8.4)
Answer: Heyaa! ~
Your Answers are... (-0.6, 8.4)
Step-by-step explanation:
Hopefully this helps you!
~ Lets solve:
Use one equation to find an expression for one of the variables in terms of the other variable. Then substitute that expression in place of that variable in the second equation. You can then solve this equation as it will now have only one variable.
Find the value of x given the EXTERIOR angle measures in a convex pentagon are x, 77, 72, 64, and 80.
Answer:
x = 67°
Step-by-step explanation:
The sum of the exterior angles of a convex pentagon is 360°.
Hence, by adding the given angle measures, we can find x.
⇒ x + 77 + 72 + 64 + 80 = 360
⇒ x + 149 + 144 = 360
⇒ x + 293 = 360
⇒ x = 67°
Answer:
The value of x is 67°Step-by-step explanation:
We know that exterior angles of any polygon sum to 360°.
Use the given angle measures to find the sum
x + 77 + 72 + 64 + 80 = 360Solve it for x
x + 293 = 360x = 360 - 293x = 67Help the pic has questions
Answer:
a) [tex]x = 9[/tex]
b) [tex]m \angle 1 = m \angle 2 = 54^\circ[/tex]
Step-by-step explanation:
Since [tex]r\ ||\ s[/tex], through the Alternate Angle Theorem, [tex]m \angle 1 = m \angle 2[/tex]. We can solve for x by setting up an equation where both angles are equal to each other:
[tex]m \angle 1 = m \angle 2\\63-x = 72-2x\\63 +x = 72\\x = 9[/tex]
Now plug in x for both of the formulas to get their angles:
[tex]m \angle 1 = (63 - x)^\circ = (63-9)^\circ = 54^\circ[/tex][tex]m \angle 2 = (72-2x)^\circ = (72-2(9))^\circ = (72-18)^\circ = 54^\circ[/tex]
Question 6
What would you do to isolate the variable in the equation below using only one step?
x +4= 10
All of the following countries were impacted by Chernobyl EXCEPT...
A. Great Britain
B. Brazil
C. Norway
Answer:
B: Brazil
Step-by-step explanation:
The Chernobyl impacted Belarus, Russia, and Ukraine as well as many other European countries. And Brazil isnt a European country.
( I hoped this helped)
Determine whether the function x2 = –y – 2 is quadratic or not. Explain.
Answer:
Yes, it is.
Step-by-step explanation:
A quadratic function always has [tex]x^{2}[/tex] [tex]x[/tex]≠0The function x² = -y - 2 is a quadratic function.
What is a Function?A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences. The German mathematician Peter Dirichlet initially offered the contemporary definition of function in 1837: A variable y is said to be a function of the independent variable x if there is a relationship between them such that whenever a numerical value is assigned to x, there is a rule that determines a specific value of y.
As per the given data:
The function is x² = -y - 2
Rearranging the function:
y = x² - 2
A quadratic function is always of the form:
y = ax² + bx + c, where a, b and c are real numbers with a not equal to 0.
We can write y = x² - 2 as:
y = x² + 0(x) - 2, here a = 1, b = 0, c = -2
Hence, the function x² = -y - 2 is a quadratic function.
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.. Discuss the nature of the root of equation x2 + 2x + 3 = 0
Answer:
No real rootsStep-by-step explanation:
Given equation:
x² + 2x + 3 = 0On comparing the equation by ax² + bx + x = 0, We get: a = 1, b = 2 and c = 3
To Find the nature of the roots of the equation firstly we need to find the discriminant of the equation. The expression b²- 4ac is called the discriminant.
[tex]~[/tex]
Two Distinct real roots, if b² - 4ac > 0Two equal real roots, if b² - 4ac = 0No real roots, if b² - 4ac < 0[tex] \\ \: \: \dashrightarrow \: \: \: \sf {b}^{2} - 4ac = 0 \\ \\ \\\: \: \dashrightarrow \: \: \: \sf (2)² - 4 \times 1 \times 3 = 0 \\ \\ \\ \: \: \dashrightarrow \: \: \: \sf 4 - 4 \times 1 \times 3 = 0 \\ \\ \\ \: \: \dashrightarrow \: \: \: \sf 4 - 12 = 0 \\ \\ \\ \: \: \dashrightarrow \: \: \: \sf {\underline{\boxed{\sf{\purple{ -8 > 0}}}}} \\ \\ [/tex]
The discriminant is smaller than 0.
Hence, Equation has no real roots (no solution)A manufacturer inspects 1000 cars and finds that 988 cars have no defects. What is the experimental probability that a car chosen at random will have no defects? If there are 2500 cars in a company, predict the number of cars that are likely to have no defects.
The experimental probability is the number of cars with no defect/ total cars inspected: 988/100 = 0.988
multiply total cars by experimental probability
2500 x 0.988 = 2470
Answer:
98.8%; 2470 cars
Step-by-step explanation:
- In the 1940s, the U.S. Department of Commerce reported a new way to test the tensile
strength, in pounds per square inch, of concrete. Several samples of concrete specimens
were used to estimate the mean tensile strength of 430 pounds per square inch with a
margin of error of 10 pounds per square inch. After the study was published, another
group proposes to run the same test on concrete specimens but with samples including
many more concrete specimens in each sample. (2 points)
Which of these statements is most likely to be true about the second study?
A. The estimated mean will be greater than 440 pounds per square inch.
B. The margin of error for the second study will likely be around 10 pounds per square inch.
C. The margin of error for the second study will likely be greater than 10 pounds per square inch.
D. The margin of error for the second study will likely be less than 10 pounds per square inch.
Using the Central Limit Theorem, it is found that the statement that is likely to be true about the second study is given by:
D. The margin of error for the second study will likely be less than 10 pounds per square inch.
What does the Central Limit Theorem states?It states that the sampling distribution of sample means of size n has standard error [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
That is, higher sample sizes leads to lower amounts of error, and since the second study has a higher sample size, it should have lower error, hence option D is correct.
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Write the quadratic equation whose roots are -1 and -4, and whose leading coefficient is 4. (Use the letter x to represent the variable.)
Answer:
4x² + 20x + 16 = 0
Step-by-step explanation:
Quadratic equation:(leading coefficient) * [x² - (sum of roots)*x + product of roots] = 0
4* [x² - ( -1 -4)x + (-1)*(-4) ] = 0
4*[ x² - (-5)x + 4] = 0
4 * [x² + 5x + 4] = 0
4*x² + 4*5x + 4*4 = 0
4x² + 20x + 16 = 0
The person is lifting a heavy box using a lever what is the purpose of the lever in the situation?
====================================
[tex]\large \sf \underline{Problem:}[/tex]
The person is lifting a heavy box using a lever what is the purpose of the lever in the situation?
====================================
[tex]\large \sf \underline{Answer:}[/tex]
to reduce the force needed to lift the box and change the direction of the force.
====================================
[tex]\large \sf \underline{Explanation:}[/tex]
1. "A lever consists of a rigid bar that is able to pivot at one point. This point of rotation is known as the fulcrum. A force is applied at some point away from the fulcrum (typically called the effort)."
By this definition, we know that force is needed to lift an object using a lever.
2. "When the input and output forces are on opposite sides of the fulcrum, the lever changes the direction of the applied force. This occurs only with first-class levers. When both the input and output forces are on the same side of the fulcrum, the direction of the applied force does not change"
For example, on a sew saw, if a force is applied on one end, you on the other side/end would go up, meaning a change in direction.
3. Lastly, we know a lever is typically used to reduce work, in other words, the force needed to move something.
Basically, if we were to put a lever into an equation:
reduced force + change in direction = lever
(the expection) unless load and force are on the same side, there will be no change in direction.
For example, if you and your friend sit on the same side of a sew saw, the sew saw would not go up or down, meaning no change in direction.
So if not stated otherwise you can assume the load and force are on opposite sides. The purpose of a lever in that situation would be to reduce the force needed to lift the box and change the direction of the force.
*While reading my explanation, it may be helpful to look up a diagram containing a lever, with a load, fulcrum, and applied force.
====================================
[tex]╰┈➤\: \huge\color{pink}{\bold{Answer}}[/tex]
To reduce the force needed to lift the box and change the direction of the force[tex] \: \: [/tex]
[tex]╰┈➤\: \huge\color{pink}{\bold{Explanation}}[/tex]
A lever consists of a rigid bar that is able to pivot at one point This point of rotation is known as the fulcrum A force is applied at some point away from the fulcrum (typically called the effort)[tex]\color{pink}──────────────────────────────[/tex]
[tex]\mathfrak \red{ - \: Cherrrry \: Red}[/tex]