reflected over the x-axis, then translated 7 units left and 1 unit up

what is the equation

Answer:

according to my equation it is 61.6

Step-by-step explanation:

Answer:just add everything

Step-by-step explanation:

9514 1404 393

Answer:

  144 m²

Step-by-step explanation:

The total surface area is the sum of the areas of the four triangular faces.

Three of them have a base of 10 and a height of 6.7. The fourth has a base of 10 and a height of 8.7. Here, we'll show the sum in one expression, so we can do some simplification.

  A = ∑(1/2)bh = (1/2)(10)(6.7) +(1/2)(10)(6.7) +(1/2)(10)(6.7) +(1/2)(10)(8.7)

  = (1/2)(10)(3·6.7 +8.7) = 5(28.8) = 144 . . . . square meters

The volume of the given triangular prism is 315 cm³.

The volume of a triangular prism, we need to multiply the base area of the triangular base by the height of the prism.

The triangular base has a base length of 5 cm and a height of 7 cm, and the height of the prism is 9 cm.

Calculate the area of the triangular base.

The area of a triangle can be calculated using the formula:

Area = (base length × height) / 2

Plugging in the values, we have:

Area = (5 cm × 7 cm) / 2

Area = 35 cm²

Calculate the volume of the prism.

The volume of a prism can be calculated by multiplying the base area by the height of the prism.

Volume = Base area × Height

Volume = 35 cm² × 9 cm

Volume = 315 cm³

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The numbers that do not form a fact family are solved

Given data ,

A fact family consists of a set of related addition and subtraction facts that use the same numbers. For example, the numbers 3, 5, and 8 form a fact family because:

3 + 5 = 8

5 + 3 = 8

8 - 5 = 3

8 - 3 = 5

Numbers that do not form a fact family are any set of numbers that do not follow this pattern. For example, the numbers 2, 4, and 7 do not form a fact family because no combination of addition and subtraction using these numbers produces the other two numbers.

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To multiply mixed numbers, convert to improper fractions, cancel factors, multiply the remaining factors, and simplify if possible.

Increasing blended numbers can be tedious, yet there is an easy route that can work on the interaction. To duplicate blended numbers, convert them to ill-advised portions, then drop any elements that show up in both the numerator and denominator of the divisions. At long last, duplicate the leftover elements in the numerator and denominator and work on the subsequent division if conceivable. For instance, to duplicate 2 1/2 by 3 2/3, first proselyte them to inappropriate divisions, which are 5/2 and 11/3. Then, drop the variable of 2 in the numerator of the principal portion and the denominator of the subsequent division. The outcome is 55/3, which can be improved to 18 1/3. This alternate way can save time and assist understudies with taking care of augmentation issues all the more proficiently.

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(a) Expected utility is calculated as the weighted average of the utilities of all possible outcomes.

According to the problem, Sam's utility function is u(100) = 1 and u(200) = 2.

The lottery L1 = ( £100, w.p. 0.6; £200, w.p. 0.4 ) has two outcomes with the probabilities of 0.6 and 0.4.

Therefore, the expected utility of the lottery L1 is:

Expected utility of L1 = 0.6 × u(100) + 0.4 × u(200)= 0.6 × 1 + 0.4 × 2= 1.4

Since Sam is willing to pay at most £120 for the lottery L1, this indicates that the expected utility of L1 is worth £120 to Sam. Thus:1.4 = u(£120)

Since we know u(100) = 1 and u(200) = 2, we can linearly interpolate to find u(£120):

u(£120) = u(100) + [(120 - 100)/(200 - 100)] × (u(200) - u(100))= 1 + [(120 - 100)/(200 - 100)] × (2 - 1)= 1.3

Therefore, the expected utility of the lottery L2 = ( £100, w.p. 0.6; £120, w.p. 0.4 ) is:

Expected utility of L2 = 0.6 × u(100) + 0.4 × u(£120)= 0.6 × 1 + 0.4 × 1.3= 0.78

So, Sam's expected utility for the lottery L2 is 0.78

.(b) The risk preferences of Sam can be determined by comparing the utility of the lottery L1 and the sure outcome that gives the same expected value as the lottery L1.

The expected value of the lottery L1 is:Expected value of L1 = 0.6 × £100 + 0.4 × £200= £140

Therefore, Sam needs to be indifferent between the lottery L1 and the sure outcome of receiving £140. Since the expected utility of L1 is 1.4, Sam's utility for receiving £140 must also be 1.4.

This can be represented as:u(£140) = 1.4From part (a), we know that u(£120) = 1.3.

Therefore, the difference between the two utility values is:u(£140) - u(£120) = 1.4 - 1.3= 0.1

The difference in utility is positive but not enough to reflect risk-loving behavior. Therefore, Sam is risk-averse.

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Answer:

dagdagan mo hoy daya

Step-by-step explanation:

1733

The solution to the equation 3(x-6) - 1/2(8x+10) = -25 is x = 2.

To simplify the equation 3(x-6) - 1/2(8x+10) = -25, we can start by applying the distributive property and then combining like terms.

First, let's distribute the 3 and the -1/2 to the terms inside the parentheses:

3(x-6) - 1/2(8x+10) = 3x - 18 - (4x + 5)

Now, let's simplify further by combining like terms:

3x - 18 - 4x - 5 = -x - 23

So, the simplified equation is -x - 23 = -25.

To solve for x, we can isolate the variable by adding 23 to both sides of the equation:

-x - 23 + 23 = -25 + 23

This simplifies to:

-x = -2

Finally, we can solve for x by multiplying both sides of the equation by -1:

(-1)(-x) = (-1)(-2)

This gives us:

x = 2

Therefore, the solution to the equation 3(x-6) - 1/2(8x+10) = -25 is x = 2.

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If 1(1/4) pound of turkey is sold for $9, then the unit-price of the turkey is $7.20 per pound.

The "Unit-Price" is defined as the price of a single unit or item of a product, typically expressed in terms of a standard unit of measurement, such as price per pound, price per liter, or price per piece.

To find the unit price of turkey in the package, we need to divide the total cost of the package by the weight of the turkey in the package.

First, we need to convert 1(1/4) pounds to a decimal, which is 1.25 pounds.

Then, we can find the unit price by dividing the total-cost of $9 by the weight of the turkey in the package:

⇒ Unit price = (Total cost)/(Weight of turkey in package),

⇒ Unit price = $9/1.25 pounds,

⇒ Unit price = $7.20 per pound,

Therefore, the unit price of turkey in the package is $7.20 per pound.

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The given question is incomplete, the complete question is

A store sells a 1(1/4) pound package of turkey for $9. ​What is the unit price of the turkey in the package?

If electricity costs $0.031076 per kilowatt and 3108 kilowatts were used, what is the cost?
To find the cost, we can multiply the cost per kilowatt by the number of kilowatts used.

Multiplication of decimals can be used here.

Cost = Cost per kilowatt * Number of kilowatts used
In this case, the cost per kilowatt is $0.031076 and the number of kilowatts used is 3108.
Cost = $0.031076 * 3108                                                                                                                                                                                  
By multiplying the decimal by the whole number we get:                                                                                                                        Now we can calculate the cost:
Cost = $96.490608
Therefore, the cost of using 3108 kilowatts of electricity at a rate of $0.031076 per kilowatt is $96.490608.

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Answer:

C = 39

Step-by-step explanation:

From the question given above, the following data were obtained:

A = 2x + 108

B = x + 33

C =?

Next, we shall obtain an expression for C. This can be obtained as follow:

A + B + C = 180 (sum of angles in a triangle)

2x + 108 + x + 33 + C = 180

2x + x + 108 + 33 + C = 180

3x + 141 + C = 180

Make C the subject by rearranging

C = 180 – 141 – 3x

C = 39 – 3x

Next, we shall determine the value of x. This can be obtained as follow:

A = 2x + 108

B = x + 33

C = 39 – 3x

A + B + C = 180

2x + 108 + x + 33 + 39 – 3x = 180

2x + x – 3x + 108 + 33 + 39 = 180

3x – 3x + 180 = 180

3x – 3x = 180 – 180

3x – 3x = 0

x(3 – 3) = 0

x(0) = 0

x = 0

Finally, we shall determine C. This can be obtained as follow:

C = 39 – 3x

x = 0

C = 39 – 3(0)

C = 39 – 0

C = 39

Answer:

1. b=-4

2. m=-52

3.n=-2

4. m=15

Step-by-step explanation:

1. 56/14 is 4 but since it is negative it is negative 4

2. m=-52 because -13*4=-52

3.  since it is integers it would be keep-change-change so it would be n+(-8)=-10 so n=-2

4. 7+8 equals 15.

Answer:

true

Step-by-step explanation:

true

the answer is true mommy

The width of the cooling tower is 36 meters.

A cooling tower is a vent that is built for the purpose of releasing waste heat back to the atmosphere.

Now we can model the system using;  x²/324 - (y² - 90)²/1600. Thus, the width can be obtained from;

2 × ✓324

= 2 × 18

= 36 meters

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Missing parts;

Cooling towers are used to remove or expel heat from a process. A cooling tower's walls are modeled by x squared over 324 minus quantity y minus 90 end quantity squared over 1600 equals 1 comma where the measurements are in meters. What is the width of the cooling tower at the base of the structure? Round your answer to the nearest whole number.

36 meters

48 meters

80 meters

89 meters

The estimated standard deviation from the range rule is 145.5 cm3.As it is 29.8 cm3 smaller than the exact standard deviation, we consider that the estimation is not accurate enough.

Generally, brain volumes which are smaller than 921.1 cm3 can be considered significantly low and bigger than 1417.5 cm3 can be considered significantly high. Hence, brain volume of 1457.5 cm3 is bigger than the expected maximum, so it can be considered significantly high.

The calculation goes like this,

According to the range rule, the standard deviation and range, or the distance between the maximum and smallest value, are roughly inversely proportional:

\(s=R/4\)

If we have a sample of 50 brains volumes, and they range from 910 cm3 to 1492 cm3, we can estimate the standard deviation as:

\(s=max-min/4\)

s=1492-910/4=582/4=145.5

The exact standard deviation is 175.3 cm3.The difference is 175.3-145.5=29.8 cm3, so the estimation is not accurate enough.

The range rule of thumb states that we should anticipate a maximum value that is approximately two standard deviations above the mean and a lowest value that is approximately two standard deviations below the mean. The expected ranges are as follows given our mean volume of 1169.3 cm3 and standard deviation of 124.1 cm3:

Min= M-2s=1169.3-2*124.1=921.1

Max=M+2s=1169.3+2*124.1=1417.5

The brain capacity of 1457.5 cm3 can be regarded as significantly high because it is higher than the predicted maximum.

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To solve the problem, we will use trigonometry and the given information about the angles of depression, the distance between the helicopters, and the speed of the closer aircraft.

Let's label the distance between the closer helicopter and the raft as "x" (in meters). We can then use the tangent function to relate the angle of depression and the distance "x":

tan(37°) = x / 2000

Solving this equation, we find:

x = 2000 * tan(37°) ≈ 1388.97 meters

Now we have the distance "x" that the closer helicopter needs to cover to reach the raft.

Next, we can calculate the time it will take for the closer aircraft to reach the raft. Since we know the speed of the closer aircraft is 170 km/h, we can convert it to meters per second:

Speed = 170 km/h = 170,000 meters / (60 minutes * 60 seconds) ≈ 47.22 meters/second

To find the time, we divide the distance by the speed:

Time = Distance / Speed = 1388.97 meters / 47.22 meters/second ≈ 29.41 seconds

Therefore, it will take approximately 29.41 seconds for the closer aircraft to reach the raft.

It's important to note that in this calculation, we assumed a constant speed for the closer aircraft throughout the entire journey. Additionally, we considered a direct path between the helicopter and the raft without taking into account any changes in altitude or wind conditions.

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Answer:

2 1/25  or 2.04

Step-by-step explanation:

8 ^ 1/3 + 5 ^ (-2)

Rewriting

(2^3) ^ 1/3 + 1/5 ^2

2 + 1/25

2 1/25

2.04

Answer:

51/25

Step-by-step explanation:

8^(1/3) = ³√8 = 2

5^(-2) = (1/5)² = 1/25

2 + 1/25 = 51/25

The logarithmic form of the equation 13 to the power of 0 equals 1 is log base 13 of 1 equals 0.

To understand why this is the case, recall that the logarithm of a number is the exponent to which another fixed value, called the base, must be raised to produce that number. In this case, the base is 13 and the number is 1. We want to find the exponent to which 13 must be raised to produce 1. Since any number to the power of 0 is equal to 1, we know that 13 to the power of 0 equals 1. Therefore, the logarithm of 1 to the base 13 is 0. Written in logarithmic form, this is log base 13 of 1 equals 0.

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To calculate the Value-at-Risk (VaR) for this investment at a 99% confidence level, we need to determine the loss amount that will be exceeded with a probability of only 1% (i.e., the worst-case loss that will occur with a 1% chance).

Given that there is a 0.5% chance of a loss of $10 million and a 99.5% chance of a loss of $1 million, we can express this as:

Loss Amount | Probability

$10 million | 0.5%

$1 million | 99.5%

To calculate the VaR, we need to find the loss amount that corresponds to the 1% probability threshold. Since the loss of $10 million has a probability of 0.5%, it is less likely to occur than the 1% threshold. Therefore, we can ignore the $10 million loss in this calculation.

The loss of $1 million has a probability of 99.5%, which is higher than the 1% threshold. This means that there is a 1% chance of the loss exceeding $1 million.

Therefore, the Value-at-Risk (VaR) for this investment at a 99% confidence level is $1 million.

The Value-at-Risk (VaR) for this investment at a 99% confidence level is $1,045,000.

To calculate the Value-at-Risk (VaR) for this investment at a 99% confidence level, we need to determine the loss amount that will be exceeded with only a 1% chance.

Given that the investment has a 0.5% chance of a loss of $10 million and a 99.5% chance of a loss of $1 million, we can calculate the VaR as follows:

VaR = (Probability of Loss of $10 million * Amount of Loss of $10 million) + (Probability of Loss of $1 million * Amount of Loss of $1 million)

VaR = (0.005 * $10,000,000) + (0.995 * $1,000,000)

VaR = $50,000 + $995,000

VaR = $1,045,000

Therefore, the Value-at-Risk (VaR) for this investment at a 99% confidence level is $1,045,000.

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Answer:

-2.3 -  1.2 = -3.5

Step-by-step explanation:

when we’re doing negative adding means subtracting so what I idi was add 2.3 and 1.2 and I got 3.5 so I think what number is bigger it’s -2.3 so since it’s negtive I put a negative that’s how I got it

Answer:

60

Step-by-step explanation:

100 is the greatest value, 40 is the lowest 100-40=60

Answer: 60 i think

Step-by-step explanation:

Answer:

point b is located at -0.905 . If it was -0.95 then it would be point A

Answer:

point B

I hope it's helps you

The rate of the river current is 5 mph.
Let x represent the rate of the river current. When Kellen travels upstream, she goes against the current, so her effective speed will be (15 - x) mph. When she travels downstream, she goes with the current, so her effective speed will be (15 + x) mph.

We're given that the time it takes to travel 2 miles upstream is the same as the time it takes to travel 4 miles downstream. We can express time as distance divided by speed.

So, we have the equation:

(2 mi) / (15 - x) = (4 mi) / (15 + x)

Now, we need to solve for x:

Cross-multiply:

2(15 + x) = 4(15 - x)

Distribute:

30 + 2x = 60 - 4x

Add 4x to both sides:

6x = 30

Divide by 6:

x = 5

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The percentage of u.s. land is national park system land is approximately 41.8%

Convert acres to square miles

Percentage of u.s. land is national park system land = national park system land / Total U.S. land area × 100

= 1476562.5 square miles / 3,537,000 square miles × 100

= 0.417461832061068 × 100

= 41.74618320610687%

Approximately,

41.8%

Therefore, the percentage of u.s. land is national park system land is approximately 41.8%

Complete question:

Total U.S. land area is 3.537 million square miles. Total U.S. national park system land occupies 954 million acres. What percentage of U.S. national park system land?

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Answer:

60 pennies

Step-by-step explanation:

Answer:

60 pennies

Step-by-step explanation: