the variable w varies inversely as the cube of v. if k is the constant of variation, which equation represents this situation?a: qv^=kb: q^3 v= kc: q/v^3=kd: q^3/v=k picture listed below
Answers
Solution
Given that:
[tex]\begin{gathered} q\propto\frac{1}{v^3} \\ \\ \Rightarrow q=\frac{k}{v^3} \\ \\ \Rightarrow k=qv^3 \end{gathered}[/tex]Option A.
Related Questions
you are packing for a road trip and want to figure out how much you can fit in your rectangular suitcase the suitcase has the following dimensions list length2 1/3ft width 1/3ft 1 1/2ft what is the volume of your suitcase in cubic feet
Answers
The Volume of the suitcase is given by the formula:
Length x width x height = L X W X H
L= 2 1/3ft
W= 1/3ft
H= 1 1/2ft
[tex]\begin{gathered} \text{Volume = 2}\frac{1}{3\text{ }}\text{ x }\frac{1}{3}\text{ x 1}\frac{1}{2}ft^3 \\ V\text{ = }\frac{7}{3}\text{ x }\frac{1}{3}\text{ x}\frac{3}{2}ft^3 \\ V\text{ = }\frac{21}{18}ft^3 \\ V=\text{ }\frac{7}{6}ft^3 \\ V=\text{ 1}\frac{1}{6}ft^3 \end{gathered}[/tex]Volume of the suitcase is 1 1/6 cubic feet
solver for r: C=2(pie)r
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We have the following equation:
[tex]C=2\pi r[/tex]We want to rewrite it in a way 'C' is a function of 'r'. We can accomplish that, if we divide both sides by 2pi.
[tex]2\pi r=C\Rightarrow r=\frac{C}{2\pi}[/tex]From this, we have our result.
[tex]r=\frac{C}{2\pi}[/tex][tex]3 - \frac{1}{2} = 3 + n[/tex]what is nthank you
Answers
The function f(t) = 2(2.25)^t models the growth of bacteria cells, where f(t) is the number of bacteria cells and t is time in days. After 10 days, approximately how many bacteria cells are there?
Answers
Step 1
write out the function
[tex]\begin{gathered} f(t)=2(2.25)^t \\ \end{gathered}[/tex]Step 2
for every input, an input produce unique output
t = 10days is the input
Step 3
substitute t = 10 in the function
[tex]\begin{gathered} f(t)=2(2.25)^{10} \\ =\text{ 2 }\times2.25^{10} \\ =\text{ 2 x 3325.25673} \\ =\text{ 6650.51} \\ =\text{ 6651} \end{gathered}[/tex]in 3 years Donald wants to buy a bicycle that costs 600.00 if he opens a savings account that earns 4% interest compounded quarterly how much will he have to despoit as principal to have enough money in 3 years to buy the bike
Answers
We want the future value to be $600. With an interest of 4% quarterly in 3 years, we have the following information:
[tex]\begin{gathered} FV=600 \\ i=0.04 \\ t=3 \\ n=4 \end{gathered}[/tex]Then we apply the following formula:
[tex]PV=\frac{FV}{(1+\frac{i}{n})^{n\cdot t}}[/tex]therefore, we have that:
[tex]PV=\frac{600}{(1+\frac{0.04}{4})^{4\cdot3}}=\frac{600}{(1.01)^{12}}=532.46[/tex]therefore, Donald would have to deposit $532.46 as principal.
A right triangle is shown in the figure what is the value of x
Answers
So,
We could use the pythagorean theorem as follows:
[tex](3x)^2+x^2=(\sqrt[]{40})^2[/tex]And then solve for x:
[tex]\begin{gathered} 10x^2=40 \\ x^2=\frac{40}{10} \\ x^2=4 \\ x=2 \end{gathered}[/tex]Therefore, x=2.
The number of cities in a region over time is represented by the function
Answers
For this question, in order to find T(x), we need to multiply the two given functions.
[tex]T(x)=(C\cdot P)(x)[/tex][tex]T(x)=C(x)\cdot P(x)[/tex][tex]=(2.9)(1.05)^x\cdot(1.05)^{3x+5}[/tex][tex]=(2.9)(1.05)^{x+3x+5}[/tex][tex]T(x)=2.9(1.05)^{4x+5}[/tex]Therefore, the answer must be option A.
Use the model to solve for x
PLS HELPPP
Answers
Answer:
I think x is -6
Step-by-step explanation:
Side 1:
3x+1
3x-10+1=(-29)
3x-6+1=(-17)
Side 2:
2x-5
2x-10-5=(-25)
2x-6-5=(-17)
Bartlett Electronics pays all sales representatives 4% commission on the first $35,000 of their individual sales and 7% commission on their individual sales in excess of $35,000. Assume that John Morgan sold merchandise valued at $73,500 during the month of November. Calculate the following amounts. (a) Commission on sales in the sales base: $ (b) Commission on additional sales: $ (c) Gross pay:
Answers
As per the given percentage,
a) Commission base in the sales base is $1400
b) Commission on additional sales is $2695
c) Gross pay is $4095.
Percentage:
Percentage is a number or ratio that can be expressed as a fraction of 100.
If we want to calculate percent of a number, divide the number by the whole and multiply by 100.
It can be represented using the symbol (%).
Given,
Bartlett Electronics pays all sales representatives 4% commission on the first $35,000 of their individual sales and 7% commission on their individual sales in excess of $35,000.
John Morgan sold merchandise valued at $73,500 during the month of November.
Here we need to find the following:
a) Commission on sales in the sales base
b) Commission on additional sales
c) Gross pay
a) Commission on sales in the sales base
So, based on the percentage the commission is,
=> 35,000 x 4/100
=> 35,000 x 0.04
=> 1400
b) Commission on additional sales
For this one, first we have to calculate the additional sales amount,
That can be calculated as,
=> 73,500 - 35,000
=> 38,500
Now, the commission is,
=> 38,500 x 7/100
=> 38,500 x 0.07
=> 2695.
c) Now the gross pay for John is,
=> 1400 + 2695
=> 4095
Therefore, the gross pay is $4095.
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which property justifies the equation 0.5 (8.4 -1.6) equals 0.5 (8.4) -0.5 (1.6)?
Answers
Given the following expression:
[tex]\text{0}.5(8.4-1.6)=0.5(8.4)-0.5(1.6)[/tex]Remember that we have the following general rule:
[tex]a(b+c)=a\cdot b+a\cdot c[/tex]this rule is called the distributive property, which is used on our given expression.
what is the most important piece of the software in a computer
Answers
Answer:
Step-by-step explanation:
the operating system
Answer:
An operating system is the most important software that runs on a computer. It manages the computer's memory and processes, as well as all of its software and hardware. It also allows you to communicate with the computer without knowing how to speak the computer's language.
Brainliest please?
Hope this helps
Simplify the following expression. Assume variables are positive. Express your answer using rational exponents.
Answers
Let's simplify the expression:
[tex]\begin{gathered} (x^{-\frac{1}{2}}\cdot y^{-\frac{2}{3}}\cdot z^{-2})^{-\frac{1}{2}}=x^{(-\frac{1}{2})(-\frac{1}{2})}y^{(-\frac{2}{3})(-\frac{1}{2})}z^{(-2)(-\frac{1}{2})} \\ =x^{\frac{1}{4}}y^{\frac{1}{3}}z \end{gathered}[/tex]Therefore the answer is:
[tex]x^{\frac{1}{4}}y^{\frac{1}{3}}z[/tex]the cake is regular price at $9 and is on sale for 25%. how much would you save with the discount
Answers
Let be "x" the amount of money (in dollars) you would save with the discount.
By definition, a percent can be converted to a Decimal number by dividing it by 100. Then, since the cake store is having 25% off sale on all cakes, this can be written as:
[tex]\frac{25}{100}=0.25[/tex]According to the information given in the exercise, the regular price of the cake you want is $9. Based on this, you can set up the following expression for price of the cake with the discount (in dollars):
[tex]9-(9)(0.25)[/tex]Evaluating, you get:
[tex]=6.75[/tex]Knowing this value, you can set up that:
[tex]x=9-6.75[/tex]Finally, evaluating, you get:
[tex]x=2.25[/tex]The answer is: You would save $2.25 with the discount.
2+2=im in kendergardenin. pls help.
Answers
The addition is the operation that puts together two quantities of numbers. It is represented by the signal "+". To add the two numbers we can use a visualization method as shown below:
We have two sticks on the left and two sticks on the right, we need to add them both, this is the same as joining them together, the result is 4 sticks. The answer is 4.
Answer:
the answer is 11
duuuh
Step-by-step explanation:
Can a triangle be formed with side lengths 13, 7, and 5? Explain.
Answers
Answer: The answer is no
Step-by-step explanation:
this is because the two short side lengths, which is 5 and 7, they have to be added together, which is 12, and 12 is smaller than 13 (the largest side)
Answer:
No, because 5 + 7 < 13
Step-by-step explanation:
Which of these shows the result of using the first equation to substitute for y?
Answers
D) 9x=18
Explanationgiven
[tex]\begin{gathered} y=3x\Rightarrow equation(1) \\ 3x+2y=18\Rightarrow equation(2) \end{gathered}[/tex]Step 1
substitute the y value from equation (1) into equation(2)
so
[tex]\begin{gathered} 3x+2y=18\operatorname{\Rightarrow}equat\imaginaryI on(2) \\ replace \\ 3x+2(3x)=18 \\ 3x+6x=18 \\ add\text{ like terms } \\ 9x=18 \end{gathered}[/tex]therefore, the answer is
D) 9x=18
I hope this helps you
A prism is completely filled with 80 cubes that have edge length of 1/2 cm what is the volume of prism
Answers
Thus,
[tex]\begin{gathered} \text{Volume of cube=(}\frac{1}{2})^3 \\ \text{Volume of cube=}\frac{1}{8}cm^3 \end{gathered}[/tex]80 cubes will have a volume of:
[tex]80\times\frac{1}{8}=10[/tex]Hence, the volume of the prism is 10 cubic metre
Question 2 (2 points)Find the value of x. If needed, round your answer to the nearest tenth.50°X5Not drawn to scaleX =
Answers
Solution
Find the value of x in the triangle shown below:
Calculate the value of x
Opposite = 5
adjacet = x
[tex]tan\theta=\frac{opp}{adj}[/tex][tex]\begin{gathered} tan50=\frac{5}{x} \\ x=\frac{5}{tan50} \\ x=\frac{5}{1.19175} \\ x=4.1955 \\ x=4.2\text{ \lparen nearest tenth\rparen} \end{gathered}[/tex]Therefore the correct value of x = 4.2
Two functions are shown. f(x) = 29(0.5)* g(x) = 18x + 14 What is the value of f(2) + g(4)?
Answers
Answer:
93.25
Explanation:
Given the below functions;
[tex]\begin{gathered} f(x)=29(0.5)^x \\ g(x)=18x+14 \end{gathered}[/tex]To be able to find the value of f(2) + g(4), we have to 1st determine the value of f(2) and f(4) as shown below;
[tex]\begin{gathered} f(2)=29(0.5)^2=29\ast0.25=7.25 \\ g(4)=18(4)+14=72+14=86 \end{gathered}[/tex]Let's go ahead and find the value of f(2) + g(4);
[tex]f(2)+g(4)=7.25+86=93.25[/tex]Ingrid is preparing a budget. She is first calculating her income. She makes $2,000 a month as a tutor, but she is going to school to become a lawyer who will eventually make close to $10,000 a month. What is the BEST thing for Ingrid to do to prepare an accurate budget?A. She should use the difference between both incomes--$8,000.B. She should average both incomes and use $6,000.C. She should use her future income of $10,000.D. She should use her current income of $2,000.
Answers
Given:
Ingrid is preparing a budget. She is first calculating her income.
She makes $2,000 a month as a tutor.
And she is going to school to become a lawyer.
Eventually, she will make close to $10,000 a month
So, the best thing is to calculate her earnings when she becomes a lawyer.
So, the answer will be option A
She should use the difference between both incomes--$8,000.
A witch's brew calls for I 1/4 cups of
pond water. Wendy the witch has
access to a small frog pond
with 7 1/2 cups of water in it.
How many times can she
make her special brew?
Answers
The witch can make her special brew 6 times with the amount of water present in the small frog pond.
Given that:-
Total amount of water present in the small frog pond = 7 and 1/2 cups = 15/2 cups
Amount of water the witch needs to make her special brew = 1 and 1/4 cups = 5/4 cups
We have to find the number of times Wendy the witch can make her special brew with the amount of water present in the small frog pond.
We know that,
Number of times the witch can make the brew = Total amount of water/Water needed for brew
Hence, by simple division, we can write,
Number of times the witch can make the brew = (15/2) ÷ (5/4) = (15/2)*(4/5) = 6 times.
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I need help with this assignment
Answers
In this problem the big angle will be equal to two times the smaller angle so the correct expression is:
[tex]\angle TUV=2\angle VUW[/tex]Now we can rewrite the equation so:
[tex]\angle VUW=\frac{1}{2}\angle TUV[/tex]I am canfusing in this question can you solve it.
Answers
Answer:
Step by step explanation:
Mario bought a $2,300 refrigerator on an installment plan. The installment agreement
included a $230 down payment and 18 monthly payments of $125 each. What is the
total finance charge?
O $180
O $225
O $145
O $195
Answers
$225,The term "instalment payments" describes a client paying a bill over a set period of time in incremental amounts. Start billing for nothing. A payment schedule agreed upon by the buyer and seller is known as installment payments.
What is installment payment?
The term "instalment payments" describes a client paying a bill over a set period of time in incremental amounts. Start billing for nothing. A payment schedule agreed upon by the buyer and seller is known as installment payments. Typically, it is mentioned unequivocally in a contract's or invoice's payment terms.
one of a series of regular loan, debt, or other payment installments; also, the system of monthly payments: This kind of installment payment is not subject to an additional cost.
An installment is a portion or segment of something, such as the most recent episode of your favorite TV show or the installment you pay each month toward your credit card debt.
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In planning her retirement, Liza deposits some money at 4.5% interest, with twice as much deposited at 5%. Find the amount deposited at each rate if the total annual interest income is $1595.
Answers
Let
x ----> amount deposited at 4.5%
y ----> amount deposited at 5%
we have that
y=2x----> equation A
4.5%=0.045
5%=0.05
so
0.045x+0.05y=1,595 ----> equation B
solve the system
substitute equation A in equation B
0.045(x)+0.05(2x)=1,595
solve for x
0.045x+0.10x=1,595
0.145x=1,595
x=11,000
Find y
y=2(11,000)=22,000
The amount deposited at 4.5% was $11,000 and the amount deposited at 5% was $22,000solve and reduce 10÷2/9
Answers
We have the following:
[tex]10\div\frac{2}{9}[/tex]solving:
[tex]\frac{10}{\frac{2}{9}}=\frac{\frac{10}{1}}{\frac{2}{9}}=\frac{10\cdot9}{2\cdot1}=\frac{90}{2}=45[/tex]The answer is 45
I dont want you to answer question for me, i have already answered it as shown in the picture. I want you to let me know if i have provided an answer worth full marks and if not tell me how i could improve it
Answers
Answer:
[tex]\begin{equation} \sqrt{3}-1,2 \sqrt{10} \div 5, \sqrt{14}, 3 \sqrt{2}, \sqrt{19}+1,6 \end{equation}[/tex]Explanation:
Given the irrational numbers:
[tex]$3 \sqrt{2}, \sqrt{3}-1, \sqrt{19}+1,6$, $2 \sqrt{10} \div 5,\sqrt{14}$[/tex]In order to arrange the numbers from the least to the greatest, we convert each number into its decimal equivalent.
[tex]\begin{gathered} 3\sqrt{2}=3\times1.414\approx4.242 \\ \sqrt{3}-1\approx1.732-1=0.732 \\ \sqrt{19}+1\approx4.3589+1=5.3589 \\ 6=6 \\ 2\sqrt{10}\div5=2(3.1623)\div5=1.2649 \\ \sqrt{14}=3.7147 \end{gathered}[/tex]Finally, sort these numbers in ascending order..
[tex]\begin{gathered} \sqrt{3}-1\approx1.732-1=0.732 \\ 2\sqrt{10}\div5=2(3.1623)\div5=1.2649 \\ \sqrt{14}=3.7147 \\ 3\sqrt{2}=3\times1.414\approx4.242 \\ \sqrt{19}+1\approx4.3589+1=5.3589 \\ 6=6 \end{gathered}[/tex]The given numbers in ascending order is:
[tex]\begin{equation} \sqrt{3}-1,2 \sqrt{10} \div 5, \sqrt{14}, 3 \sqrt{2}, \sqrt{19}+1,6 \end{equation}[/tex]Note: In your solution, you can make the conversion of each irrational begin on a new line.
Find the probability that a randomly chosen point is the figure lies in the shaded region. Give all answers in fraction and percent forms.help with number 5 or all of them if u can pls
Answers
NUMBER 5:
INFORMATION:
We have a trapeze and, we need to find the probability that a randomly chosen point is the figure lies in the shaded region
STEP BY STEP EXPLANATION:
To find the probability, we must divide the area of the shaded region by the total area of the trapeze
[tex]\text{ Probability}=\frac{Shaded\text{ area}}{Total\text{ area}}[/tex]- Total area:
To calculate the total area, we must use the formula for the area of a trapeze
[tex]A_{trapeze}=\frac{(b_1+b_2)h}{2}[/tex]Where, b1 and b2 are the bases and h is the height
Then, analyzing the trapeze we can see that b1 = 20, b2 = 14 and h = 12
[tex]A_{total}=A_{trapeze}=\frac{(20+14)12}{2}=204[/tex]So, the total area is 204 square units
- Shaded area:
To find the shaded area, we must subtract the no shaded area from the total area.
We can see that the no shaded area is a rectangle with width = 14 and height = 12
Now, using the formula for the area of a rectangle
[tex]A_{rectangle}=\text{ width}\times\text{ height}=14\times12=168[/tex]Then, subtracting the area of the rectangle from the total area
[tex]A_{\text{ no shaded}}=204-168=36[/tex]So, the no shaded are is 36 square units.
Finally, the probability would be
[tex]\begin{gathered} \text{ Probability}=\frac{36}{204} \\ \text{ Simplifying,} \\ \frac{3}{17}\approx17.65\text{ \%} \end{gathered}[/tex]ANSWER:
the probability that a randomly chosen point is the figure lies in the shaded region is
[tex]\frac{3}{17}\approx17.65\text{ \%}[/tex]The area of the unshaded region is 22.5cm2 . What is the area of the rectangle?A) 11.25cm2B) 22.5cm2C) 45cm2D) 90cm2
Answers
Let's use the variable b to represent the white triangle base (which is the width of the rectangle), and the variable h to represent the white triangle height (which is the length of the rectangle).
The white triangle area is given by:
[tex]A=\frac{b\cdot h}{2}=22.5\text{ cm}^2[/tex]The area of the rectangle is given by the product of its length and its width, so we have:
[tex]A_2=b\cdot h=2\cdot(\frac{b\cdot h}{2})=2\cdot A=2\cdot22.5=45\text{ cm}^2[/tex]Therefore the correct option is C.
Hiwhat is 18×18[tex]18 \times 18[/tex]
Answers
The answer for 18 x 18 is 324.
