To determine the volume of the missing side of the prism, we need more information about the shape and dimensions of the prism. The volume alone is not sufficient to determine the specific measurements of the missing side.
A prism is a three-dimensional shape with two parallel and congruent bases connected by rectangular faces. It can have various dimensions, such as length, width, and height. To find the missing side, we typically need at least two of these dimensions or additional information about the shape.
If you can provide more details about the prism, such as its shape or the measurements of the known sides, I will be able to assist you in finding the volume of the missing side.
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When Shantel converted jmd$16200 to Us dollars she received usd$135. Which exchange rate did Shantel receive?
Answer: \(1\ \text{USD}\ \equiv\text{jmd}\$120\)
Step-by-step explanation:
Given
Shantel converted jmd$16,200 to USD $135
Using unitary method 1 USD is equivalent to
\(jmd\$16,200\equiv USD\$135\\\\USD\$135\equiv jmd\$16,200\\\\1\ \text{USD}\ \equiv \dfrac{16,200}{135}\\\\1\ \text{USD}\ \equiv\text{jmd}\$120\)
Answer:
Step-by-step explanation:
Which set of ratios could be used to determine if one triangle is a dilation of the other? A triangle has side lengths of 4, 6, 8.5. A second triangle has side lengths of 6, 9, 12.5. StartFraction 4 Over 6 EndFraction = StartFraction 6 Over 9 EndFraction = StartFraction 8.5 Over 12.5 EndFraction StartFraction 6 Over 4 EndFraction = StartFraction 6 Over 9 EndFraction = StartFraction 8.5 Over 12.5 EndFraction StartFraction 4 Over 6 EndFraction = StartFraction 9 Over 6 EndFraction = StartFraction 8.5 Over 12.5 EndFraction StartFraction 4 Over 6 EndFraction = StartFraction 8.5 Over 9 EndFraction = StartFraction 6 Over 12.5 EndFraction
Answer:
\(A.\ \frac{4}{6} = \frac{6}{9} = \frac{8.5}{12.5}\)
Step-by-step explanation:
Given
Let the two triangles be A and B
Sides of A: 4, 6 and 8.5
Sides of B: 6, 9 and 12.5
Required
Which set of ratio determines the dilation
To determine the dilation of a triangle over another;
We simply divide the side of a triangle by a similar side on the other triangle;
From the given parameters,
A ------------------B
4 is similar to 6
6 is similar to 9
8.5 is similar to 12.5
Ratio of dilation is as follows;
\(Dilation = \frac{4}{6}\)
\(Dilation = \frac{6}{9}\)
\(Dilation = \frac{8.5}{12.5}\)
Combining the above ratios;
\(Dilation = \frac{4}{6} = \frac{6}{9} = \frac{8.5}{12.5}\)
From the list of given options, the correct option is A,
Answer:
a
Step-by-step explanation:
A swimming camp charges $190 for 6 weeks of swimming lessons and $265 for 9 weeks of swimming lessons. How much does the swimming camp charge per week?
The camp charge per week = slope = $25 per week.
How to Apply the Slope Concept?The slope is also referred to as the unit rate which is given as: m = change in y / change in x.
From the given scenario, let:
x = number of weeks
y = camp charges
We will therefore have these two points:
(6, 190) and (9, 265)
Use the two points to find the slope, which is the swimming camp charge per week:
Camp charge per week (m) = change in y / change in x = 265 - 190 / 9 - 6
= 75/3
= $25 per week.
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Solve the equation. | 2x + 0.75 |=5 6/7
Answer:
the first one if you solve it it will be the same and the second one 41/7
Step-by-step explanation:
\(~~~~|2x +0.75| = 5 \dfrac 67\\\\\\\implies \left|2x+\dfrac 34\right| = \dfrac{41}7\\\\\\\implies 2x +\dfrac 34 = \dfrac{41}7~~~~ \text{or}~~~~ 2x + \dfrac 34 =- \dfrac{41}7\\\\\\\implies 2x = \dfrac{41}7- \dfrac 34~~~~ \text{or}~~~~ 2x = -\dfrac 34 - \dfrac{41}7\\\\\\\implies 2x = \dfrac{143}{28}~~~~~~~~ \text{or}~~~~ 2x = -\dfrac{185}{28}\\\\\\\implies x = \dfrac{143}{56}~~~~~~~~~ \text{or}~~~~~ x = -\dfrac{185}{56}\\\\\\\)
\(\implies x = 2\dfrac{31}{56}~~~~~~~~~ \text{or}~~~~~ x = -3\dfrac{17}{56}\\\)
Urgenttttt!!! Solve ly-2|<10
Answer: -8<y<12
Step-by-step explanation: hope this helps!!
Answer: I believe that the answer is -8<y<12
Step-by-step explanation: I hope this helps. :)
Im confused... what do I do this?? (Just 14 btw) thank youuuuu
Answer:
1=-1/5 2=11/20 3=149/25
Step-by-step explanation:
I get it you have to put the number into your calculator then turn it into a fraction
hop this helps
-mercury
Answer:
11/20
Step-by-step explanation:
convert to a simplified fraction by placing the numbers to the right of the decimal over 100 then, reduce the fraction.
can anyone please help i am stuck on this question?
Answer:
8/17
General Formulas and Concepts:
Trigonometry
[Right Triangles Only] cos∅ = adjacent over hypotenuseStep-by-step explanation:
Step 1: Define
We are given a right triangle. We can use trig to find the ratio.
Step 2: Identify
POV from angle S
Adjacent = 8
Hypotenuse = 17
Step 3: Write
Substitute [cosine]: cos(s) = 8/17Band rues charges $950 to play all night.
DJ phoria charges $350 plus $5 for each ticket sold.
Write a linear equation for the cost of the DJ where y = the total cost and x = the number of tickets sold. The equation for the Band is y = 950.
Graph each equation on the same coordinate plane and find the number of tickets for which the cost of the band and the DJ would be equal. Make sure to name and number the axes of your graph. Also, solve the system of equations analytically, showing all work.
Answer:
120 Tickets
Step-by-step explanation:
Band rues charges $950 to play all night.
Total Cost, y=$950DJ phoria charges $350 plus $5 for each ticket sold.
Total Cost, y=$(350+5x), x = the number of tickets sold.(a)The graph is attached.
From the point of intersection of the two lines, the number of tickets for which the cost of the band and the DJ would be equal is 120 tickets.
(b)
Given the two linear equations
y=950
y=350+5x
Therefore:
950=350+5x
950-350=5x
5x=600
x=120
Therefore, the number of tickets at which the cost of the band and the DJ would be equal is 120, just as obtained above.
alex has $600 in her checking account. she wants to spend a part of this money on a computer. she wants to have at least $250 left in her checking account after buying the computer. write an inequality that can be used to find t, the amount of money in dollars that alex can spend on the computer, and solve for t.
An inequality that can be used to find t the amount of money in dollars is
c)t ≤ 350, t is less than or equal to 350. So, correct option is c.
In science, a disparity or an inequality is a connection which makes a non-equivalent examination between two numbers or other numerical expressions. It is utilized generally normal to look at two numbers on the number line by their size. There are a few unique documentations used to address various types of disparities:
The documentation a < b implies that an is not as much as b.
The documentation a > b implies that an is more noteworthy than b.
Regardless, an isn't equivalent to b. These relations are known as severe inequalities, implying that an is completely not exactly or rigorously more prominent than b. Identicalness is barred.
We have Alex total amount =$600 and amount which he want on his account after spending is $250.
So,t+250 ≤600
=>t≤ 600-250
=>t≤ 350.
Hence, option c is correct.
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(Complete question) is:
Alexandra has $600 in her checking account. She wants to spend part of this money on a computer. She wants to have at least $250 left in her checking account after buying the computer. The inequality shown can be used to find t, the amount of money in dollars that Alexandra can spend on the computer.
Which inequality represents all possible values of t?
a)t ≥ 350,
t is greater than or equal to 350
b)t ≤ 850,
t is less than or equal to 850
c)t ≤ 350,
t is less than or equal to 350
d)t ≥850,
t is greater than or equal to 850
5 over 8- (1 over 4) to the 2nd power equals
Answer:
0.5625. this is what it equals
Suppose you borrow $197,500 on a 30 year adjustable rate mortgage loan. The fixed period is five years and the initial interest rate is 4.25%.
Question 2
Assume that you make all payments exactly as scheduled. How much will you owe at the end of the five year fixed period?
Answer:
Assuming that the loan has monthly payments, the total number of payments in the 30-year loan would be 30 x 12 = 360.
To calculate how much is owed at the end of the five-year fixed period, we need to first determine how much of the principal (the borrowed amount) will be paid off during that time.
Using an amortization calculator, we can determine that with a 4.25% interest rate and monthly payments of $972.38, the principal paid off after five years will be approximately $25,732.37.
At the end of the five-year fixed period, the remaining principal balance will be $197,500 - $25,732.37 = $171,767.63. This will be the amount owed at the end of the fixed period.
Step-by-step explanation:
In the data set below, what is the mean absolute deviation? 38147 If the answer is a decimal, round it to the nearest tenth. mean absolute deviation (MAD):
Answer:
2.32
Step-by-step explanation:
Given the data:
3, 8, 1, 4, 7
The mean absolute deviation (MAD) :
Σ|x - m| / n
Mean, m = Σx / n
Σx = 23
n = 5
Mean, m = 23 / 5 = 4.6
|3 - 4.6| + |8 - 4.6| + |1 - 4.6| + |4 - 4.6| + |7 - 4.6|
(1.6 + 3.4 + 3.6 + 0.6 + 2.4) / 5
= 2.32
Two firms producing identical products engage in price competition. Cost of firm 1 is $20 per unit produced and cost of firm 2 is $15 per unit produced. There are no fixed costs. Firms produce only after they learn the quantity demanded. Each firm can choose any real number in the interval [15,25] as its price.
For tie-breaking we will assume that if both firms set the same price, all consumers purchase from firm 2.
The payoff/profit function of firm 1 is:
(p1 - 20)(100 - p1) if p1 is less than or equal to p2,
0 if p1 is greater than p2
The payoff/profit function of firm 2 is:
(p2 - 15)(100 - p2) if p2 is less than p1,
0 if p2 is greater than or equal to p1
Given all of this information, solve the following parts of the problem:
a) is p1 = 20, p2 = 19.50 a Nash Equilibrium?
b) is there a Nash Equilibrium in which Firm 2 makes a positive profit?
c) How many strategies does player 1 have?
d) is p1 = 15, p2 = 15 a Nash Equilibrium?
e) is p1 = 21, p2 = 21 a Nash Equilibrium?
a) No, p1 = 20, p2 = 19.50 is not a Nash Equilibrium.
b) Yes, there is a Nash Equilibrium in which Firm 2 makes a positive profit.
c) Player 1 has infinitely many strategies.
d) Yes, p1 = 15, p2 = 15 is a Nash Equilibrium.
e) No, p1 = 21, p2 = 21 is not a Nash Equilibrium.
What is Nash Equilibrium?Nash Equilibrium is a state of a strategic game where no player has an incentive to deviate from his or her chosen strategy after considering the strategies of other players. A game has more than one Nash equilibrium if players are unable to agree on a cooperative strategy to play.
Finding Nash Equilibrium
a) Is p1 = 20, p2 = 19.50 a Nash Equilibrium?No. Firm 1 has an incentive to decrease the price to 19.49, thus breaking the tie in its favour. So p1=20, p2=19.5 is not a Nash equilibrium.b) Is there a Nash Equilibrium in which Firm 2 makes a positive profit?Yes. There are several equilibria in which Firm 2 makes a positive profit. One such equilibrium is when both firms charge the same price of 15, at which both firms earn a profit of 375.c) How many strategies does player 1 have?Player 1 has infinitely many strategies to choose from as they can choose any real number in the interval [15,25] as their price.d) Is p1 = 15, p2 = 15 a Nash Equilibrium?Yes. This is a Nash Equilibrium because neither firm has an incentive to change their strategy as they are earning non-zero profits. Both firms earn a profit of 375.e) Is p1 = 21, p2 = 21 Nash Equilibrium?No. If Firm 1 changes its price to 20.99, its profit increases from 405 to 407.99. Therefore, p1=21 and p2=21 is not a Nash Equilibrium.Learn more about Nash equilibrium at
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Help please!! Asap!! i’ll give brainly!
Answer:
For 21: The first option (the uppermost) is correct for question 21. When it is no greater than, it implies that it can be equal to the number.
For 22: x+637 ≤ 2000, let x be the money he can spend for everything else.
Let me know if this helps!
Answer:
well when he buys the ticket he is left with 1,363 dollars
Step-by-step explanation:
You own a manufacturing business and are considering the purchase of a labor-saving device. You project that the device will last 9 years and save you $1,000 per month in labor costs (assume that the savings are realized at the end of each month). At the end of 9 years, you project you can sell the device for a salvage value of $11,000. Assuming that you can earn 10. 5% compounded monthly on your money, what is the value of the device?
To calculate the value of the labor-saving device, we need to determine the present value of the future cash flows generated by the device.
Given:
Device life: 9 years
Monthly savings: $1,000
Salvage value at the end: $11,000
Interest rate: 10.5% compounded monthly
Step 1: Calculate the present value of the monthly savings.
The savings occur at the end of each month, so it forms an ordinary annuity. We can use the formula for the present value of an ordinary annuity:
PV = C * (1 - (1 + r)^(-n)) / r
Where:
PV is the present value
C is the cash flow per period ($1,000)
r is the interest rate per period (10.5% / 12 months = 0.00875)
n is the number of periods (9 years * 12 months = 108 months)
Using these values, we can calculate the present value of the monthly savings:
PV_savings = $1,000 * (1 - (1 + 0.00875)^(-108)) / 0.00875
Step 2: Calculate the present value of the salvage value at the end of 9 years.
Since the salvage value occurs at the end of the device's life, it is a single future amount. We can calculate its present value using the formula for the present value of a single amount:
PV = FV / (1 + r)^n
Where:
PV is the present value
FV is the future value ($11,000)
r is the interest rate per period (10.5% / 12 months = 0.00875)
n is the number of periods (9 years * 12 months = 108 months)
Using these values, we can calculate the present value of the salvage value:
PV_salvage = $11,000 / (1 + 0.00875)^108
Step 3: Calculate the total present value of the device.
The total present value is the sum of the present values of the monthly savings and the salvage value:
Total PV = PV_savings + PV_salvage
Calculate the individual present values using the formulas above and then sum them up to find the total present value.
Finally, add the present values of the monthly savings and the salvage value to find the total present value of the device.
Please note that these calculations assume a constant interest rate over the 9-year period.
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It costs Widgeco $2,000 to purchase a machine that produces widgets and $2.75 to produce each widget. If widgets are sold for $4.99 each, which of these represents the profit, P(w), received when Widgeco sells w widgets?
Answer:
C. P(w) = 2.24w - 2000Step-by-step explanation:
Starting point is - $2000 as this is spending
Income is calculated as:
-2.75w + 4.99w = 2.24wSo the profit formula is:
P(w) = 2.24w - 2000Correct option is C from below answer choices
The options are:
A . P(w) = 2.24w + 2,000 B. P(w) = 7.74w + 2,000 C. P(w) = 2.24w – 2,000 D. P(w) = 7.74w – 2,000
Identify the statements that describe the population at the time of mexican independence from spain in 1821.
On property held by Christian missions, some 20,000 Indians were working and living in California.
10,000 Pueblo Indians, 30,000 people of Spanish ancestry, and an unspecified number of migratory Indians made up New Mexico.
The Treaty of Córdoba was signed on August 24, 1821, by Spanish Viceroy Juan de O'Donoj, approving a plan to transform Mexico into a sovereign constitutional monarchy. Iturbide was named the emperor of Mexico in 1822 since there had been no discovery of a Bourbon king to rule Mexico.
The nation was left in a dire situation after winning independence in 1821. Over 500,000 Mexicans perished during the war, and agricultural, mining, & industrial productivity all declined. Mexico was a young nation that was having internal difficulties becoming a nation.
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Explanation of how we can make (a) subject
Answer:
Step-by-step explanation:
Trying to finish before lunch
Based on the length of a certain bacterium and the measurement of the colony, the total length of the colony is 1.431 x 10².
What is the length of the colony in a straight line?The length of the colony can be calculated as:
= Length of bacterium x length of colony
Solving gives:
= 2.7 x 10⁻² x 5.3 x 10³
= 0.027 x 5,300
= 143.1
= 1.431 x 10²
In conclusion, the total length of the colony if put in a straight line is 1.431 x 10².
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What is the solution 6^2x =800? Round your answer to the nearest hundredth
A.) 1.87
B.) 1.61
C.) 3.73
D.) 1.13
Answer:
A
Step-by-step explanation:
log(6^2x)=log(800)
2xlog(6)=log(800)
2x=log 6(800)
2x= log(6)/log(800)
x= log 6(800) / 2
You are given the radius of a circle. How can you find the distance around it?
Answer:
Circumference - 2 * pi * r
Step-by-step explanation:
multiply radius by 2.
multiply by pi
helpppppppppppppppppppppp plzzzzzzzzzzzzzz
Answer: x= -2, y= 3
Step-by-step explanation:
3x+5y=9
X-y=-5
Multiply bottom equation by 5
3x+5y=9
5x-5y=-25
3x + 5x=8x
5y-5y cancels out
9-25= -16
8x= -16
X= -2
Plug -2 back into equation of choice to find y
3(-2)+5y=9
-6+5y=9
Add -6 to both sides
-6+6 cancels
9+6=15
5y=15
Y=3
adults found that the number of hours they spend on social networking sites each week is normally distributed with a mean of 14 hours. The population standard deviation is 3 hours. What is the margin of error for a 95% confidence interval
The margin of error for a 95% confidence interval is 0.263.
What is normal distribution?A probability distribution which is symmetric about the mean is the normal distribution, sometimes referred to as the Gaussian distribution. It demonstrates that data that are close to the mean occur more frequently than data that are far from the mean.
The probability bell curve is more properly described as the normal distribution.The mean and standard deviation of a normal distribution are 0 and 1, respectively. It has an outlier of 3 and zero skew.Not everyone symmetrical distributions are normal, but all normal distributions are symmetrical.The formula for margin of error is ;
ME = (z × σ) / √ n
The confidence interval is 95% = 0.95.
Mean (σ) =14
standard deviation = 3.
Total population (n) = 500
Substitute the values in the formula;
ME = (z × σ) / √ n
= (1.96 × 3)/√500
= (1.96 × 3)/22.36
ME = 0.263
Therefore, the margin of error for a 95% confidence interval is 0.263.
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The complete question is -
A study of five hundred adults found that the number of hours they spend on social networking sites each week is normally distributed with a mean of 14 hours. The population standard deviation is 3 hours. What is the margin of error for a 95% confidence interval?
1. What is the length of a tv screen if the width is 25 inches and the diagonal is 50 inches?
what is the length of TV screen if the width 25inches and the diagonal is 50 inches
Suppose you and your friends are splitting three pizzas, with 8 slices each. If you have each eaten 3 pieces, equalling 1/2 of the total amount of slices, how many people are there (including you)? Write an equation to represent this scenario and then solve.
Answer:
phle follow karo yrr tab hee bat u ga,
The table shows the average value of a single-family home in 1970s:
year average vale($)
1971 42 000
1973 51 000
1975 63 000
1977 77 000
1979 93 000
Using your preferred form of technology (Ti-83 plus, excel, Demos, etc), create a scatterplot of the data. Include a screenshot of the graph with this assignment.
Look at the scatterplot. Briefly describe any trends you see in the data
3. Calculate the finite differences and the ratios.
Year Average Value($) first differences second differences ratios
1971 42 000
1973 51 000
1975 63 000
1977 77 000
1979 93 000
4. Based off the finite differences, which type of model (linear, quadratic or exponential) appears to be most suitable?
5. Using technology, create all 3 regression models.
Linear equation
Quadratic equation
Exponential equation
To create a scatterplot of the data showing the average value of a single-family home in the 1970s, we can use a graphing tool like Excel.
Based on the provided values, the scatterplot will display the years on the x-axis and the average home values on the y-axis. By plotting the data points and connecting them, we can observe any trends in the graph.
Looking at the scatterplot, we can see that there is a general upward trend in the average value of single-family homes over time. As the years progress, the average home values increase, indicating a positive correlation between the two variables.
To calculate the finite differences, we need to find the differences between consecutive average home values. The first differences are obtained by subtracting the previous value from the current value.
The second differences are obtained by subtracting the previous first difference from the current first difference. The ratios are calculated by dividing the current first difference by the previous first difference.
Based on the finite differences, the data appears to follow a linear trend. The first differences are not constant, which suggests a non-quadratic pattern. Additionally, the ratios are not consistent, indicating that an exponential model is also not suitable for the data.
To create the three regression models, we can use technology like Excel or a graphing calculator. For the linear model, we can use the equation y = mx + b, where y represents the average home value and x represents the year.
The quadratic model can be represented by the equation y = ax^2 + bx + c. The exponential model can be represented by the equation y = a * e^(bx), where e is the base of natural logarithms.
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Can someone put this into slope intercept form?
4x + y *insert greater than or equal to sign here* 2
i’ll give brainliest to first person with an actual answer
(20 point question)
Answer:
y>=-4x+2
Step-by-step explanation:
Answer:
Greater than 2
Step-by-step explanation:
Have trust
y = 5х + 9
у = 3х - 2
how many solutions does this equation have ?
Answer:
One
Step-by-step explanation:
THe two equations have different slopes so they will intersect at one point.
Write the equation in standard form 1. 2x - y - 8=0
This equation in standard form is: \(2x-y=8\)
HELP PLEAASE i need answer nowwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww
Answer:Irrational,2/9,22/100 11/50, Irrational, No Fraction Given, Perfect Square, Non-Perfect Square
Step-by-step explanation:Best fit options for each question.