Answer:
40
Step-by-step explanation:
100/2.5=40
It costs Karen $20 to make each of her wooden display cases & $300 to advertise them. If she sells the cases for $30 each, write & solve a break-even equation that shows when her costs will equal her revenue.
The cost function is
\(20x+300\)where x is the number of wooden cases made
the revenue function is
\(30x\)where x is the number of wooden cases sold
\(\begin{gathered} 30x=20x+300\rightarrow \\ 30x-20x=300\rightarrow \\ 10x=300 \\ x=\frac{300}{10}=30 \end{gathered}\)so she has to make and sell 30 wooden cases to get her costs and revenue equals
Describe the possible echelon forms of a nonzero 2 x 2 matrix.
Answer:
we approach the issue by taking note of that a 2 x 2 matrix can either have 1 0r 2 pivot columns. If the matrix has no pivot columns then every entry in the matrix must be zero.
-> if our matrix has two pivot columns then : \(\left(\begin{array}{rr}-&*&0&-\end{array}\right)\)
-> if our matrix has one pivot column then we have a choice to make. If the first column is pivot column then: \(\left(\begin{array}{rr}-&*&0&0\end{array}\right)\)
->otherwise, if the pivot column is the second column then: \(\left(\begin{array}{rr}0&-&0&0\end{array}\right)\)
Find the product of ¾ and 1⅓ a)0 (b)1 (c)12 (d)1⁵/7
The value of the product of the number as given in the task content is; Choice B; 1.
What is the value big the product of the values; ¾ and 1⅓?It follows from the task content that the numbers whose product are to be determined are; ¾ and 1⅓.
To effectively multiply, we must convert the mixed number to a fraction as follows;
1⅓ = 4/3.
Hence, the product is; 4/3 × 3/4 = 12/12 = 1.
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Determine if triangle XYZ with coordinates x (1, 1), y (5,6) and z (6,2) is a right triangle
Answer:
No(im not totally sure though because its slanted.)
Step-by-step explanation:
desmos.
what is the solution to the inequality |x-4| less than 3?
A: -7 less than x less than -1.
B: 1 less than x less than 7.
c: x less than -7 or x less than -1.
D: x greater than 1 or x less than 7.
Answer:
B
Step-by-step explanation:
x cannot have any negative value, or the sum with -4 will create -5 or lower, and the corresponding absolute value is therefore larger than 3.
so, A and C are automatically out.
D can't be right, because it is an "or" condition, so, we could violate one of the conditions (like "x greater than 1"), and it would still be OK, as long as we keep the second. but that is not true, as we just ruled out negative x values.
so, only B includes the "and" condition.
it means 1 has to be less than x AND x has to be less than 7.
and that is correct.
Answer:
b
Step-by-step explanation:
Multiply: 3,217 × 5,716
Answer:
Step-by-step explanation:
183,883,72
Answer:
18388372
Step-by-step explanation:
1 )Use the algorithm method.
3 2 1 7
× 5 7 1 6
1 1 1 4
1 9 3 0 2
3 2 1 7 0
2 1 1 4
2 2 5 1 9 0 0
1 1 3
1 6 0 8 5 0 0 0
1 1 1
1 8 3 8 8 3 7 2
==================step 2==================2 )Therefore, 3217 × 5716 = 18388372.
18388372
The triangles below are similar. By what ratio was triangle XYZ enlarged by to create triangle LMN? Use this information to calculate the length of the missing side. Show your work.
Answer:
Ratio: 3:2
LN = 18
Step-by-step explanation:
"similar" means that all the angles are the same and the sides were all increased by the same proportion.
Thus, we know that MN/YZ = LM/XY = NL/ZX
First, we need to find the ratio. To do this, we write MN/YZ as a fraction, and simplify.
MN/YZ = 15/10 = 3/2
(If you want, you can double check this using LM nd XY. 8 * 3/2 = 12, so this is correct)
To find the missing side, we simply multiply XZ by 3/2.
12 * 3/2 = 18, so LN = 18.
a study of the annual population of toads in a county park shows the population, S(t), can be represented by the function S(t) = 152(1.045)^t, where the t represents the number of years since the study started. based on the function, what is the growth rate?
Answer: 0.045 is the growth rate.
Step-by-step explanation:
A generic exponential growth function can be written as:
f(t) = A*(1 + r)^t
where A is the initial amount.
t is the unit of time.
r is the rate of growth.
For example if we have an increase of 10% per year, with an initial population of 100 we have that:
A = 100, r = 10%/100% = 0.10, t = number of years.
the equation will be:
f(t) = 100*(1 + 0.10)^t
Now, in this case the equation is:
S(t) = 152*(1.045)^t
We can write this as:
S(t) = 152*(1 + 0.045)^t
Then 152 is the initial amount and 0.045 is the growth rate.
Find tan 0 if sin=3/4 and 0 is in quadrant 2
Answer:
\(-\frac{3}{\sqrt{7} } .\)
Step-by-step explanation:
1) tanΘ=sinΘ/cosΘ;
\(2) \ cos \theta=^+_-\sqrt{1-sin^2 \theta}; \ = > \ cos \theta=^+_-\frac{\sqrt{7}}{4};\)
3) if according to the initial condition Θ is in II-quadrant, then the cosΘ<0!
\(cos \theta=-\frac{\sqrt{7}}{4} ;\)
4) finally,
\(tan \theta=\frac{sin \theta}{cos \theta}=-\frac{3}{\sqrt{7}}.\)
b) 8xy +4y² factorise
Answer:
The answer is: 4y(2x+y)
Step-by-step explanation:
Please help!!!
Question 7 of 10
Which of the following rational functions is graphed below?
A. F(x)= 4/ x-1
B. F(x)= x+4/ x-1
C. F(x)= x(x-1)/ (x+4)
D. F(x)= x/ (x+4)(x-1)
The rational function graphed in this problem is given as follows:
D. F(x) = x/[(x + 4)(x - 1)]
How to define the rational function?The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator, hence they are given as follows:
x= -4 and x = 1.
Hence the denominator of the function is given as follows:
(x + 4)(x - 1).
The intercept is given as follows:
x = 0.
Hence the numerator is:
x.
Thus the function is given as follows:
D. F(x) = x/[(x + 4)(x - 1)]
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Yolanda used her graphing calculator to graph y= 3x. Her graph is shown at right. Do you think she
did it correctly? Explain.
What is the volume of the figure?
I need this please help me
Answer:
T.E ajut eu dar română plese
I need help plz help me!!!!
Please help me with this , I hope it's easier.
Hi! I hope you're enjoying your day!
Let's add the following polynomials.
How to add them? Just combine like terms. :)
\(\bold{2x^2-10x+1 ~and~x^2+15x-8}\)
\(\bold{2x^2+x^2-10x+15x+1-8}\)
Hence, the answer is
\(\boxed{\boxed{\bold{3x^2+5x-7}}}\)
\(\rule{250}{2}\)
\(\bold{2x^3-3x^2+5\;and\;5x^2-3x^3+7}}}\\\)
Combine Like terms:
\(\bold{2x^3-3x^3-3x^2+5x^2+5+7}\)
Hence, the answer is
\(\boxed{\boxed{\bold{-x^3+2x^2+12}}}\)
Hope everything is clear.
If you have any questions, please comment.
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Find the volume of a right circular cone that has a height of 18.8 m and a base with a radius of 19.3 m. Round your answer to the nearest tenth of a cubic meter.
Answer:
7,329.60m³
Step-by-step explanation:
Volume of a cone = 1/3πr²h
r is the radius
h is the height
Given
r = 19.3m
h = 18.8m
Substitute
V = 1/3 * 3.14 * 19.3² * 18.8
V = 21,988.82968/3
V = 7,329.6 cubic meter
Hence the volume of the cone to neatrest tenth is 7,329.60m³
Write 4.05 in word form
Answer: Four and five hundredths
The "and" is the decimal point separating the whole part (4) from the decimal digits (05)
You can think of 0.05 as 5/100, or you can see that the 5 is in the hundredths place.
Answer:
Four point five hundredths.
Step-by-step explanation:
The 0.05 is referring to five hundredths, and I just put 4.05 into word form.
could I know the answers for this also let me know how to solve this!
Answer:
280 ft³
Step-by-step explanation:
Volume of the prism will be ,
=> V= Base area × height .
The base is a triangle , so ,
=> V = 1/2 * 7*8 * h
=> V = 28 * h
Here height is 10ft , so
=> V = 28 * 10
=> V = 280 ft³
A 3-gallon container of disinfectant costs $36.24. What is the price per quart?
Answer:
10.74666666666667 per quart
Step-by-step explanation3 divided 36.24
Find the y-intercept of the line on the graph.
Answer: 3
Step-by-step explanation:
0.52k bird altitude of 550m gravitation potential energy
Therefore , the solution of the given problem of expressions comes out to be potential energy at 550 metres of altitude is roughly 2,798.46 Joules.
What does an expression actually mean?Instead of producing estimates at random, it is preferable to use expanding, decreasing, & blocking moving numbers. They were only able to assist one another by exchanging resources, knowledge, or answers to problems. In addition to arithmetic operations like addition, negation, synthesis, and combination, a truth statement may also contain formulas, components, and notations. It is feasible to evaluate and analyse both sentences as words.
Here,
The gravitational potential energy of the bird at a height of 550m can be determined using the following formula, assuming you meant to say "0.52 kg bird" instead of "0.52k bird":
Mass times gravity times height equals gravitational potential energy.
where mass is measured in kilogrammes, gravity is the force of gravity, which accelerates objects near the Earth's surface at a rate of around 9.81 m/s2, and height is measured in metres.
Inputting the values provided yields:
The gravitational potential energy is equal to
=> 0.52 kg * 9.81 m/s2 *550 m,
=> 2,798.46 joules.
Hence, the bird's gravitational potential energy at 550 metres of altitude is roughly 2,798.46 Joules.
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The American Population is living longer. Along with the longevity of life comes additional challenges with both medical and Psychiatric problems. Your patient is about to be discharged from a short-tern rehab center. You overhear the daughter confiding in the nursing student that she cannot handle her mother and will be looking for a Memory care unit to put her mother in. You also hear the student nurse who was raised in a foreign country state, " I would NEVER put my mother in a home. I would take care of her woth my two sisters junti she dies.
what considerations might you make withthis students. Address the cultural differneces in elder care and adress the conself od "Role Strain" in caring for special populations.
Cultural sensitivity is crucial in elder care. Cultural beliefs impact elderly care. A foreign-raised nursing student desires to care for her mother and sisters until her mother's passing.
What is the cultural Strain?Consider cultural values: Students from certain backgrounds may see caring for their elderly parents as a moral duty. Respecting elder beliefs is critical in discussing care options. Have open, non-judgmental communication with the nursing student. Show empathy and listen to her perspective.
Educate the nursing student about caring for a loved one with medical and psychiatric problems. Explain physical, emotional, and financial consequences, including effects on relationships and responsibilities.
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Jamal planted flowers in his garden using the pattern shown. The number of rows, r, is used to determine the number of flowers in each row, f. If Jamal continues his pattern, which equation shows the relationship between r and f?
The mathematical equation f = 2r -1 is applicable on the statement.
According to the statement
We have to find that the equation applicable on the statement.
So, For this purpose, we know that the
An equation is a mathematical statement that shows that two mathematical expressions are equal.
From the given information:
The number of rows = r
The number of flowers in each row = f
Then
1st row = 1 f
2nd row = 3 f
3rd row = 5 f
4th row = 7 f
Then after that the equation become is
f = 2r - 1
When we fill the value of the row in this then
f = 2r - 1
f = 2(1) - 1
f = 1 in the 1st row and so on.
So, The mathematical equation f = 2r -1 is applicable on the statement.
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HELP plssssssssssssssssssssssssssssssssssssssssssssssss
Answer:18×6=108
D SHOULD BE RIGHT
d is = to 108.
tell me if right
HELP MME WITH THIS PLEASE
Answer:
0.84
Step-by-step explanation:
21/25 is equal to 0.84.
Hopefully this helps!
Brainliest please?
What is the equation of a line that is parallel to 2x + 3y = 3 and passes through the point (3, -4)?
Enter your answer as a slope intercept equation (y=mx+b) in the box.
Answer:
y = - \(\frac{2}{3}\) x - 2
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + b ( m is the slope and b the y- intercept )
given
2x + 3y = 3 ( subtract 2x from both sides )
3y = - 2x + 3 ( divide through by 3 )
y = - \(\frac{2}{3}\) x + 1 ← in slope- intercept form
with slope m = - \(\frac{2}{3}\)
• Parallel lines have equal slopes , then
y = - \(\frac{2}{3}\) x + b ← is the partial equation
to find b substitute (3, - 4 ) into the partial equation
- 4 = - 2 + b ⇒ b = - 4 + 2 = - 2
y = - \(\frac{2}{3}\) x - 2 ← equation of parallel line
A triangle has sides measuring 2 inches and 7 inches.If x represents the length in inches of the third side, which inequality gives the range of possible values for x?
Answer:
I would say A is the answer.
When Sebastian left his house in the morning, his cell phone battery was partially
charged. Let B represent the charge remaining in Sebastian's battery, as a
percentage, t hours since Sebastian left his house. The table below has select values
showing the linear relationship between t and B. Determine how much battery life
Sebastian's phone would have 4 hours after leaving his house.
t
B
1
36
2.5
31.5
5
24
16. Rachael teaches at the college and it pays $3000 per month. She spends $50 on groceries per
week. Netflix costs $9 per month. She pays $50/month for internet. Utilities cost $200 per
month. Rachael's phone bill is $82 per month. Find the net monthly cash flow. (assume 1 month
= 4 weeks).
Answer: Rachel gets a total of 2459 dollars to save each month.
Step-by-step explanation:
200+9+50+200+82=541
3000-541=2459