Find the reciprocal of -1

Answers

Answer 1

The reciprocal value of -1 is 1/-1 which is equal to -1.

What is Fraction?

A fraction represents a part of a whole.

We need to find the reciprocal of -1.

The reciprocal (or multiplicative inverse) of a number is whatever value must be multiplied to that number to equal 1.

Let a be a number and b be its reciprocal.

So ab=1

b=1/a

Substitute for a.

b=1/-1

b=-1

Hence, -1 is the reciprocal of -1.

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Related Questions

Kamal had an equal number of quarters and nickels. ali had an equal number of dimes and pennies. when kamal and ali combined their coins, the total worth of one fifth of quarters and all dimes amounted to $5.50; and the total value of all nickels and all pennies came to $1.90. how many quarters did kamal have

Answers

Kamal had roughly 86 cents, or the equivalent of $0.863636, in quarters. The value of a quarter is 25 cents, thus Kamal had about three and a third quarters.

How did Kamal acquire so many quarters?

Let's use the letters Q, N, D, and P to represent Kamal's quarters, nickels, dimes, and pennies, respectively. Ali's pennies were represented by P. Q=N, D=P, Q/5+D=5.50, and N+P=1.90 are all known constants.

The first equation can be written as 5Q=10D, and the second as N+D=$1.90.

We obtain 5Q+D=$1.90 by substituting the first equation into the second equation.

We obtain 10D=5Q by substituting the first equation back into itself.

We obtain 10D+D=$1.90 by substituting this equation into 5Q+D=$1.90.

The result of combining related terms is 11D=$1.90.

When we calculate D, we get D=$0.172727.

D=P, hence we can deduce that P=$0.172727.

D=Q/5 is also known because D=P. Q/5=$0.172727 is the result of substituting this equation into the one we discovered for D.

When we calculate Q, we get Q=$0.863636.

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how many strings with seven or more characters can be formed from the letters in evergreen

Answers

There are 4,782,905 strings with seven or more characters that can be formed from the letters in "evergreen".

What is a sequence?

A sequence is an enumerated collection of objects in which repetitions are allowed. Like a set, it contains members (also called elements, or terms).

The word "evergreen" has 9 letters. To find the number of strings with seven or more characters that can be formed from these letters, we need to count the total number of possible strings of length 7 or more, and then subtract the number of strings of length 6 or fewer.

The total number of possible strings of length 7 or more can be found by summing the number of strings of length 7, 8, 9, and so on. For each length, we can use the formula for counting the number of permutations with repetition:

\(n^r\)

where n is the number of distinct elements (in this case, 9 letters) and r is the length of the string. So the number of strings of length 7 or more is:

\(9^7 + 9^8 + 9^9 + ...\)

To subtract the number of strings of length 6 or fewer, we can sum the number of strings of length 1, 2, 3, 4, 5, or 6, and use the same formula:

\(9^1 + 9^2 + 9^3 + 9^4 + 9^5 + 9^6\)

Finally, we can subtract this sum from the first sum to get the total number of strings with seven or more characters:

\(9^7 + 9^8 + 9^9 + ... - (9^1 + 9^2 + 9^3 + 9^4 + 9^5 + 9^6)\)

This expression can be simplified using the formula for an infinite geometric series:

a/(1-r)

where a is the first term and r is the common ratio. In this case, a = 9⁷ and r = 1/9. So we get:

\(9^7/(1-1/9) - 9^1/(1-1/9)\)

= 4782969 - 9¹ * 8/9

= 4782969 - 64

= 4782905

Therefore, there are 4,782,905 strings with seven or more characters that can be formed from the letters in "evergreen".

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PLEASE HURRY WILL GIVE BRAINLIST ​

PLEASE HURRY WILL GIVE BRAINLIST

Answers

Answer: Use a calculator sorry for being toxic that’s just who I am

Step-by-step explanation:

Answer:

∠ VWU and ∠ VUW are correct

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ VUP is an exterior angle of the triangle, so

17x + 6 = 56 + 8x + 4

17x + 6 = 60 + 8x ( subtract 8x from both sides )

9x + 6 = 60 ( subtract 6 from both sides )

9x = 54 ( divide both sides by 9 )

x = 6

Then

∠ VWU = 8x + 4 = 8(6) + 4 = 48 + 4 = 52° ← correct

∠ VUP = 17x + 6 = 17(6) + 6 = 102 + 6 = 108°

∠ VUW = 180° - 108° ( adjacent angles sum to 180° )

∠ VUW = 72° ← correct

Question 6(Multiple Choice Worth 1 points) (03.01 LC) coordinate plane with trapezoids TRAP and T prime R prime A prime P prime and points W, X, Y, and Z with points located at T 1 comma 1, R 2 comma 3, A 4 comma 3, P 5 comma 1, T prime 2 comma one half, R prime 2 and one half comma one and one half, A prime 3 and one half comma one and one half, P prime 4 comma one half, W 2 and one half comma negative one and one half, X 0 comma 3, Y 5 comma negative 1, and Z 6 comma 1 Trapezoid TRAP was dilated by a scale factor of one half to create trapezoid T'R'A'P'. Which point is the center of dilation?

Answers

Here are the given coordinates of points located at T (1,1), R (2,3), A (4,3), P (5,1), T′ (2, 1/2), R′ (5/2, 3/2), A′ (7/2, 3/2), .The numbers of TRAP is T′R′A′P′ and it was dilated by a scale factor of 1/2.

Therefore, the center of dilation is at the point C (2,2). Step-by-step explanation:The point T(1,1) moved to T′(2, 1/2) which is 1/2 distance away from the point C, the center of dilation.

This means that the midpoint of TC and T′C is C, the center of dilation. Therefore the midpoint of TC is at (1+2)/2 = 3/2 and (1+1/2)/2 = 3/4. Then the midpoint of T′C is at (2+2)/2 = 2 and (1/2+2)/2 = 5/4. Hence, the center of dilation is at C(2, 2).

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Hazel has out of town guest coming to visit. She is going to hire a cleaning service to tidy up her house. The maids charge her $80 an hour plus one time service fee of $20. Team clean chargers $60 an hour plus a one time service fee of $100 write and solve an equation to find the number of hours for which the total cost will be the same for the two cleaning services.

Answers

Answer:

the number of hours for which the total cost would be the same is 4

Step-by-step explanation:

Let us assume the number of hours for which the total cost would be the same be x

The first equation would be

$80x + $20

And the second equation be $60x + $100

Now equate these two equations

$80x + $20 = $60x + $100

$80x - $60x = $100 - $20

$20x = $80

x = $80 ÷ $20

x = 4

Hence, the number of hours for which the total cost would be the same is 4

In order to become a member of the library-all-star-members club, there is a $40 sign-up fee and a $2monthly fee. Write an equation in slope- intercept form that models this situation​

Answers

Answer:

y = 2x + 40

Step-by-step explanation:

Y is the total cost.

2 is dollars per month.

X is the number of months.

40 is the sign up fee.

Answer:

2x+40

Step-by-step explanation:

Ellie and Mary went to the Stef bakery. Ellie bought 3 cakes and 6 filled donuts for ​$10.14. Mary bought 4 of each for ​$8.32. What is the price of each type of​ pastry?

Answers

On solving the provided question, by substitution method we got that y=1.43 and x=o.65

What is substitution method?

To solve systems of linear equations, use the algebraic technique of substitution. The name of the technique implies that it involves substituting the values of variables from one equation into another.

x=cakes , y=donuts

3x+6y=$10.14 ------ eqt.1

4x+4y=$8.32 ------ eqt.2

solve eqt.1 for "y"

y=1.43

x=o.65

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The correct question is

Ellie and Mary went to the Stef bakery. Ellie bought 3 cakes and 6 filled donuts for ​$10.14. Mary bought 4 of each for ​$8.32. What is the price of each type The price of a  is The price

What value(s) of z makes the equation 7/6 Z + 1/3 = -5 / 6 true; Z = -1, Z= 2, Z= 1, or Z= -36 / 63?

Answers

Answer:

Z = -1

Step-by-step explanation:

to find which value of Z makes the equation true substitute each value of Z into the equation.

Z = -1

7/6(-1) + 1/3 = -5/6

-5/6=-5/6

all other values of Z will not give u an equal statement

What value(s) of z makes the equation 7/6 Z + 1/3 = -5 / 6 true; Z = -1, Z= 2, Z= 1, or Z= -36 / 63?

A restaurant offers 4 different appetizers, 5 different main courses, and 8 different desserts. How many ways are there to select your dinner choice if you need to pick one menu item from each category

Answers

Using multiplication principle of counting,

There are 160 ways to select your dinner choice if you need to pick one menu item from each category.

We have,

To determine the total number of ways to select a dinner choice, we need to use the multiplication principle of counting, which states that if there are m ways to do one thing and n ways to do another thing, then there are m × n ways to do both things.

Using this principle, we can find the total number of ways to select a dinner choice as follows:

Number of ways to select an appetizer = 4

Number of ways to select a main course = 5

Number of ways to select a dessert = 8

Using the multiplication principle of counting, the total number of ways to select a dinner choice is:

= 4 × 5 × 8

= 160

Therefore,

There are 160 ways to select your dinner choice if you need to pick one menu item from each category.

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solve pls brainliest

solve pls brainliest

Answers

a

distance is -8

b

-7 - 1 = -8

1 - (-7) = 8

c

l-7 - 1l = 8

l 1 - (-7)l = 8

hope this helps

a chart that compares three set of values in a three-dimensional chart is _____.

Answers

A chart that compares three sets of values in a three-dimension chart is called surface.

A two-dimensional collection of points (flat surface), a three-dimensional collection of points with a curved cross section (curved surface), or the perimeter of any three-dimensional solid are all examples of surfaces in geometry.

A surface is typically a continuous boundary that separates two areas of a three-dimensional space. For instance, a sphere's surface divides its interior from its exterior, and a horizontal plane divides the half-planes above and below it. Despite the fact that regions they contain are three-dimensional and have a volume, surfaces are basically two-dimensional and have an area. Despite this, surfaces are frequently referred to by the names of the regions they surround. Differential geometry studies the characteristics of surfaces, particularly the concept of curvature.

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The Sugar Sweet Company is going to transport its sugar to market. It will cost $6500 to rent trucks plus $250 for each ton of sugar transported. The total cost, C (in dollars), for transporting n tons is given by the following.
c=6500+250n
1.If the total cost is $12,250, how many tons is the company transporting?
2.What is the total cost of transporting 14 tons?

Answers

Answer:

An equation that relates cost to the amount of sugar  S                                                 C = 6500 + 250s                                                                                                              the total cost is $1120                                                                                                          The total cost of transporting 19 tons of sugar at 250 each                                            C = total cost                                                                                                                                    C =6500 + 250(19)                                                                                                            total cost = 6500 + 4750 = 11250

Step-by-step explanation:

PLS EXPLAIN THIS TO ME LIKE HOW DO YOU DO THIS
btw the options are
A relation and a function
A relation but not a function
A function but not a relation
Neither a relation nor a function

PLS EXPLAIN THIS TO ME LIKE HOW DO YOU DO THIS btw the options are A relation and a functionA relation

Answers

Answer:

Your answer is A Relation and A function.

A relation and a function

write 75 (base 10) using 2 numerals

Answers

Answer:

Step-by-step explanation:

75 = 64 + 8 + 2 + 1 = 1*2^6 + 1*2^3 + 1*2^1 + 1*2^0

There is no power 5, 4, or 2 so zeros go in those slots.

75 = 1001011 (Base 2)

A two-sided t-test for a population mean is conducted of the null hypothesis H0 : μ = 100. If a 90 percent t-interval constructed from the same sample data contains the value of 100, which of the following can be concluded about the test at a significance level of a = 0.10 ?A. The p-value is less than 0.10, and H0 should be rejected.B. The p-value is less than 0.10, and H0 should not be rejected.C. The p-value is greater than 0.10, and H0 should be rejected.D. The p-value is greater than 0.10, and H0 should not be rejected.

Answers

Option D is correct, the p-value is greater than 0.10, and H₀ should not be rejected.

What is Null hypothesis?

The null hypothesis is denoted as H₀, is a statement or assumption that suggests there is no significant or meaningful relationship between two variables in a statistical hypothesis test.

If a 90 percent t-interval constructed from the sample data contains the value of 100, it means that the sample mean is within the confidence interval.

Since the null hypothesis H₀: μ = 100 is also assuming that the population mean is 100, this suggests that the sample data is consistent with the null hypothesis.

Given a significance level of α = 0.10, we compare the p-value with this significance level to make a conclusion.

If the 90 percent confidence interval contains the hypothesized value (100 in this case), it suggests that the p-value is likely to be greater than 0.10.

There is insufficient evidence to reject the null hypothesis at a significance level of 0.10.

Therefore, the p-value is greater than 0.10, and H₀ should not be rejected.

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private nonprofit four-year colleges charge, on average, $26,640 per year in tuition and fees. the standard deviation is $6,617. assume the distribution is normal. let x be the cost for a randomly selected college.

Answers

Using the given average cost, standard deviation, and assuming a normal distribution, we can determine the probability that the cost for a randomly selected college is more than a certain value.

The average cost of tuition and fees at private nonprofit four-year colleges is $26,640 per year, with a standard deviation of $6,617. Assuming a normal distribution, let x represent the cost for a randomly selected college.
To find the probability that x is more than a certain value, we can use the Z-score formula: Z = (x - mean) / standard deviation.
To find the probability that x is more than a certain value, we can use the Z-score formula: Z = (x - mean) / standard deviation.
Let's say we want to find the probability that x is more than $30,000.
Z = (30000 - 26640) / 6617
Z = 0.051
Using a Z-table or calculator, we can find the corresponding probability to be approximately 0.4801. This means that there is a 48.01% chance that the cost for a randomly selected college is more than $30,000.
In conclusion, using the given average cost, standard deviation, and assuming a normal distribution, we can determine the probability that the cost for a randomly selected college is more than a certain value.

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There are 80 seats in the small screen.
One quarter of these seats are booked.
What is one quarter of 80?

There are 80 seats in the small screen.One quarter of these seats are booked.What is one quarter of 80?

Answers

One quarter of 80 is 20

When rolling a number cube, what is the probability of rolling a 2 or an even number. Express your answer as a fraction in lowest terms

Answers

Answer:

https://www.sketchywebsite.net/

Step-by-step explanation:

A cylindrical tin filled with oil has a diameter of 12cm and a height of 14cm. The oil is then poured in rectangular tin 16cm long and 11cm wide. What is the depth of the oil in the tin

Answers

The volume of cylindrical tin is 1584 \(cm^3\). The depth of the oil in the tin is 9cm.

\(V_1 =\) VOLUME OF CYLINDRICAL TIN

   \(= \pi r^2 h\)

  \(=\frac{22}{7}\) x 6 x 6 x 14

  = 44 x 36

  = 1584 \(cm^3\)

\(V_2 =\) VOLUME OF RECTANGULAR TIN

    = lbh = 1584

    = (16)(11)(h) = 1584

    = 176h =1584

    = h = 1584 / 176

    = h = 9 cm

A cylinder is a three-dimensional shape that consists of a circular base and a curved surface that extends upward to meet at a point known as the apex. The volume of a cylinder is the amount of space occupied by the shape and is given by the formula V = πr²h, Once we have calculated the area of the circular base, we can multiply it by the height of the cylinder to get the volume.

To calculate the volume of a cylinder, we need to know its dimensions, which are the radius and height. The radius is the distance from the center of the circular base to the edge, while the height is the distance between the two circular bases.

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(x+4) ² remove bracket and simplify

Answers

Answer:

To expand (x + 4)², we can use the formula for squaring a binomial: (a + b)² = a² + 2ab + b². In this case, a = x and b = 4.

So,

(x + 4)² = x² + 2(x)(4) + 4²

= x² + 8x + 16

Thus, (x+4)² when expanded and simplified gives x² + 8x + 16.

Step-by-step explanation:

Answer:

x²n+ 8x + 16

Step-by-step explanation:

(x + 4)²

= (x + 4)(x + 4)

each term in the second factor is multiplied by each term in the first factor, that is

x(x + 4) + 4(x + 4) ← distribute parenthesis

= x² + 4x + 4x + 16 ← collect like terms

= x² + 8x + 16

Math help please show work

Math help please show work

Answers

Answer:

7 in

Step-by-step explanation:

Math help please show work

Answer:

a = 7 in

Step-by-step explanation:

\(Area = \frac{a+b}{2} \times h\\\\26.25 = \frac{a + 10.5}{2} \times 3\\\\26.25 \times 2 = (a+ 10.5) \times 3\\\\52.5 = (A + 10.5) \times 3\\\\\frac{52.5}{3} = a + 10.5\\\\17.5 = a + 10.5\\\\a = 17.5 - 10.5 = 7\)

Pauls age is three times barts age in 14 years pauls age will be twice as barts age how old are both of them

Answers

Given Pauls age is three times barts age in 14 years pauls age will be twice as barts age, therefore, Bart is currently 14 years old, and Paul is currently 42 years old.

Let's assume that Bart's current age is x. Then, Paul's current age is 3x. In 14 years, Bart's age will be x + 14, and Paul's age will be 3x + 14. We know that Paul's age in 14 years will be twice Bart's age in 14 years. We can set up an equation to solve for x:

3x + 14 = 2(x + 14)

Simplifying this equation, we get:

3x + 14 = 2x + 28

x = 14

Therefore, Bart's current age is x = 14, and Paul's current age is 3x = 42.

To check our answer, we can verify that in 14 years, Paul's age will be twice Bart's age:

Paul's age in 14 years = 42 + 14 = 56

Bart's age in 14 years = 14 + 14 = 28

56 = 2(28)

Thus, our solution is correct. Bart is currently 14 years old, and Paul is currently 42 years old.

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the activity of a radioactive isotope is found to decrease by 40% in one week. what are the values of its: a) decay constant, b) half-life, c) mean lifetime?

Answers

Answer: A) The decay constant (λ) is a measure of the rate at which a radioactive isotope decays. It is defined as the probability per unit time that an atom of the isotope will decay. The decay constant can be calculated using the formula:

λ = -ln(1 - x) / t

Where x is the fraction of the original activity that has decayed (in this case, 0.40), and t is the time over which the decay occurred (in this case, one week).

B) The half-life (T1/2) is the amount of time it takes for half of the original activity of a radioactive isotope to decay. It can be calculated using the formula:

T1/2 = ln(2) / λ

C) The mean lifetime (τ) is the average amount of time an atom of a radioactive isotope will survive before it decays. It can be calculated using the formula:

τ = 1 / λ

It's important to note that the above formulas are based on the exponential decay model, which assumes that the decay process is random and that the decay constant is constant over time. If the isotope does not decay in this way, these formulas may not give accurate results.

Step-by-step explanation:

There are 160 cal in 4 ounces of ice cream how many calories will be in 6 ounces of ice cream

Answers

Answer:

There will be 240 calories in 6 ounces of ice cream.

Step-by-step explanation:

Well if you take 160 and divide it by 4 you would get 40.

Meaning every ounce is 40 calories. 1 ounce = 40 cal.

40 x 6 = 240 calories.

if a regulation basketball is randomly selected, what is the probability that it will weigh between 20.5 and 23.5 ounces?

Answers

Therefore,  the probability that  basketball  will weigh between 20.5 and 23.5 is 0.866

What is probability ?

Probability is the concept that describes the likelihood of an event occurring. In real life, we frequently have to make predictions about how things will turn out. We may be aware of the result of an occurrence or not. When this is the case, we refer to the likelihood that the event will occur or not.

Here,

X υ N (22,1)

Probability that  basketball  will weigh between 20.5 and 23.5

is:

=> P(20.5 < x < 23.5)= P[ 20.5-22/1 < z < 23.5-22/ 1   ]

=>   P(20.5 < x < 23.5) = P(-1.5 < z < 1.5)

=>  P(20.5 < x < 23.5) = 0.866

Therefore,  the probability that  basketball  will weigh between 20.5 and 23.5 is 0.866

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What is the area of a circle whose radius is 6 ft?


6π ft²

9π ft²

36π ft²

72π ft²

Answers

Answer:

36π ft²

Step-by-step explanation:

Check out the attached photo

What is the area of a circle whose radius is 6 ft?6 ft9 ft36 ft72 ft

The domain of a relation is

Answers

Answer : The domain of a function or relation is the set of all possible independent values the relation can take. It is the collection of all possible inputs. The range of a function or relation is the set of all possible dependent values the relation can produce from the domain values.

he save in a year? ) The annual income of Amir is Rs. 50,000. If he spends 20% from this and deposits the remaining in a bank, find his expenditure amount and the amount deposited in the bank.​

Answers

Answer:

Amir spends Rs. 50,000 * 20% = Rs. <<5000020.01=10000>>10,000 on expenses.

The remaining amount, Rs. 50,000 - Rs. 10,000 = Rs. <<50000-10000=40000>>40,000 is deposited in the bank.

Therefore, Amir's expenditure amount is Rs. 10,000 and the amount deposited in the bank is Rs. 40,000.

Which of the following Boolean expressions is not equivalent to the expression num * -1 ≥ 10
A. (num < 0) AND (num * -1 = 10)
B. (num < -10) OR (num = -10)
C. (num * -1 > 10) OR (num = -10)
D. NOT num * -1 < 10

Answers

The Boolean expression that is not equivalent to the given expression "num * -1 ≥ 10" is option D: "NOT num * -1 < 10."

What is Boolean expression?

A Boolean expression is an expression or equation that evaluates to true or false. It includes the use of logical operators such as AND, OR, and NOT, as well as comparison operators such as equal to (=), greater than (>), less than (<), and more.

The Boolean expression that is not equivalent to the expression "num * -1 ≥ 10" is option D: "NOT num * -1 < 10."

Let's break down each option and evaluate its equivalence to the given expression:

A. (num < 0) AND (num * -1 = 10)

This expression checks if "num" is negative and if the absolute value of "num" is equal to 10. It does not directly represent the condition "num * -1 ≥ 10," so it is not equivalent.

B. (num < -10) OR (num = -10)

This expression checks if "num" is less than -10 or if "num" is exactly equal to -10. It also does not directly represent the condition "num * -1 ≥ 10," so it is not equivalent.

C. (num * -1 > 10) OR (num = -10)

This expression checks if the negative value of "num" is greater than 10 or if "num" is exactly equal to -10. Although it involves the negative value of "num," it represents the condition "num * -1 > 10" when "num" is positive. Therefore, it is equivalent to the given expression.

D. NOT num * -1 < 10

This expression checks if the negative value of "num" is not less than 10. While it involves the negative value of "num," it does not directly represent the condition "num * -1 ≥ 10." Additionally, the use of "NOT" operator flips the condition, which makes it different from the original expression. Hence, it is not equivalent.

Therefore, the Boolean expression that is not equivalent to the given expression "num * -1 ≥ 10" is option D: "NOT num * -1 < 10."

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Solve for X
2x - 8 = 26

Answers

the most likely answer is 17

Step-by-step explanation:

add the 8 to the 26 to get 34

divide the two on both sides

2 divided by 2 is x

34 divided by two is 17

so

x = 17

2x-8=26
+8 +8
----------------
2x=34
---- -----
2 2

x=17
Other Questions
for motors or motor controllers, one of the ___ shall be readily accessible as required by the nec. Tyler always gives stan a ride home from practice. Tyler also helps stan with his homework and lets stan use his printer. Stan, on occasion, will give tyler his chips at lunch. Tyler is beginning to wonder if his friendship with stan is worth it. Tylers wonderment reflects which characteristic of interpersonal relationships?. 1) According to the table, what was the temperature change from start to finish of each material? Styrofoam- metal- paper- plastic- With Hurtz Rent-A-Car, you can rent a car for $25 a week plus 15 cents for each mile driven. Upto how many miles can you drive if you have $175?If w is the number of miles driven, then the cost of renting the car in dollars is . Inequality : Answer: You can drive up to is miles. The landlady Roald DhalNow you need to think about the whole of the source. How has the writer structured the text to interest the reader? Determine whether the given function is a solution to the given differential equation. 0=4e5t-2 e 2t d0 de 0- +50= - 7 e 2t dt dt C d0 The function 0= 4 e 5t - 2 e 2t a solution to the differential equation de 0 +50= -7 e 2t, because when 4 e 5t - 2 e 2t is substituted for 0, dt dt equivalent on any intervals of t. de is substituted for and dt is substituted for d0 d the two sides of the differential equation 5.5x = 11? Please help. :c Find the x-and y-intercepts.-5x - 7y = 35The x-Intercept isThe y-intercept is PLEASE HELP FAST!!!!!Lucy received a $1300 bonus. She decided to invest it in a 3-year certificate of deposit (CD) with an annual interest rate of 1.27% compounded monthly.Answer the questions below. Do not round any intermediate computations, and round your final answers to the nearest cent. If necessary, refer to the list of financial formulas.(a) Assuming no withdrawals are made, how much money is in Lucy's account after 3 years?$____(b) How much interest is earned on Lucy's investment after 3 Years?$____ An unknown substance is decaying exponetially. You measure its initial mass to be q(0)=45 grams. One week later, its mass is measured to be q(7)=30 grams. This problem will guide you through the computation of this substance's half life.First write down the half-life equation. The decay o this substance is modelled by the formulaq(t)=q02^t/.You are given the initial quality is q(0)=45 grams. Does this tell you what q0 is?at t=7 (days) you have a quantity of 30 grams. Plug in t=7, q(7)=30 and solve for .Finally, answer the question. What is the half-life? (include units). Give a decimal approximation that is within 1 hour of accurate. I need help with this The mean distance from the surface of the earthto the surface of the moon is 376 000 km. Whatis the distance in Scienu fic Notalion? What is Tom Sawyer age? Identify the characteristics of East Germany and West Germany Solve each equation. y + 20 = 7 c. what is the project status in terms of schedule and budget. if the project is behind schedule, what are the possible causes that make a project behind schedule. . 1. The people of Mexico have a great appreciation of his workFinding the.subject Santana Rey, owner of Business Solutions, decides to diversify her business by also manufacturing computer workstation furniture. Required:1. Classify the following manufacturing costs of Business Solutions as (a) variable or fixed and (b) direct or indirect. A. Monthly flat fee to clean workshopB. Laminate coverings for desktopsC. Taxes on assembly workshop 2. Prepare a schedule of cost of goods manufactured for Business Solutions for the month ended January 31, 2018. Assume the following manufacturing costs: Direct materials: $2,300 Factory overhead: $550 Direct labor: $1,200 Beginning work in process: none (December 31, 2019) Ending work in process: $550 (January 31, 2020) Beginning finished goods inventory: none (December 31, 2019) Ending finished goods inventory: $320 (January 31, 2020)3. Prepare the cost of goods sold section of a partial income statement for Business Solutions for the month ended January 31, 2018. Use of present continuous tense for future arrangements.Write five sentences. The DBMS reveals much of the database's internal complexity to the application programs and users. True or False?