Chang is going to rent a truck for one day. There are two companies he can choose from, and they have the following prices.
Company A charges $86 and allows unlimited mileage.
Company B has an initial fee of $65 and charges an additional $0.60 for every mile driven.
For what mileages will Company A charge less than Company B?
Use m for the number of miles driven, and solve your inequality for m.

Answers

Answer 1

Answer:

35

Step-by-step explanation:

86-65=21$ (initial fee diffrence)

21/0.6= 35

for 35 m company B charge less than A unless if renter want to drive further 35m so company A present a better offer.


Related Questions

please help with the question below!

Answers

Answer:

C

Step-by-step explanation:

I don't know exactly why it is C, but I know it isn't the other ones.

(I realize this is not a very concrete answer and it may be wrong, but good luck!)

The correct answer is C

Find the measure of DF

Answers

Answer:

DF = 50

Step-by-step explanation:

[tex]\bold{METHOD\ 1:}[/tex]

[tex]\triangle ABC\sim\triangle DE F\qquad(\text{similar tringles)}\\\\\text{Therefore corresponding sides are in proportion:}\\\\\dfrac{BA}{AC}=\dfrac{ED}{DF}\\\\\text{Substitute}\ BA=360,\ AC=600,\ ED=30\\\\\dfrac{360}{600}=\dfrac{30}{DF}\qquad\text{cross multiply}\\\\360DF=(600)(30)\\\\360DF=18000\qquad\text{divide both sides by 360}\\\\DF=50[/tex]

[tex]\bold{METHOD\ 2:}[/tex]

[tex]\text{Use the Pythagorean theorem:}\\\\leg^2+leg^2=hypotenuse^2\\\\\text{We have}\ leg=40,\ leg=30,\ hypotenuse=DF.\\\\\text{Substitute:}\\\\40^2+30^2=DF^2\\\\1600+900=DF^2\\\\2500=DF^2\to DF=\sqrt{2500}\\\\DF=50[/tex]

Final answer:

The measure of DF cannot be determined without additional context or a specific function. DF could imply distance in a physics scenario or represent an infinitesimal change in a function in calculus.

Explanation:

The measurement of DF seems to be a question related to calculus and physics, specifically pertaining to infinitesimal changes and dynamics. In calculus, df represents an infinitesimally small change in a function, often a result of changing variables x and y. In a physics context, DF can be interpreted as the distance fallen in a typical free fall scenario under gravity, with an initial velocity. Unfortunately, without additional context or a specific function provided, the measure of DF cannot be accurately determined.

For example, in the context of electromagnetism, dF could represent the infinitesimal force on a wire carrying current in a magnetic field, according to the formula dF = i (dl) x B, where i represents current, dl represents an infinitesimal length of wire, and B represents the magnetic field.

Terrance bikes 3.6 miles to school in 18 minutes. Jaqueline bikes 5.4 miles to school in 30 minuets assuming each student rode at a constant speed , who is traveling at a faster speed

Answers

Answer:

jaqueline, because 3.6/18 =0.2 and 5.4/30=1.8

Step-by-step explanation:

Final answer:

Terrance is traveling at a faster speed of 12 mph compared to Jaqueline's 10.8 mph, after converting their biking times to hours and calculating the speed for each.

Explanation:

To determine who is traveling at a faster speed, we calculate the speed (rate) at which each student is biking. Speed is computed using the formula: speed = distance / time. For Terrance, who bikes 3.6 miles in 18 minutes, we must first convert minutes to hours, so 18 minutes is 0.3 hours (since 1 hour = 60 minutes). Thus, Terrance's speed is 3.6 miles / 0.3 hours = 12 miles per hour (mph).

For Jaqueline, who bikes 5.4 miles in 30 minutes, we also convert the minutes to hours to get 0.5 hours. Jaqueline's speed is 5.4 miles / 0.5 hours = 10.8 mph.

Comparing the two speeds, Terrance has a faster speed at 12 mph compared to Jaqueline's 10.8 mph.

(4x squared) to the third power

Answers

Answer:

64x⁶

Step-by-step explanation:

(4x²)³

= 4³(x²)³   <=the third power applies to both of the terms in the bracket

= 64x⁶      <=simplify

(x²)³ = x⁶ because when powers are raised to a power, they multiply.

(x²)³ = x²⁽³⁾ = x⁶

How much can 7 go to 57

Answers

Answer:

8 times

Step-by-step explanation:

57/7=8.1428571428... round down to the nearest whole number.

7 can go into 57: 8 times

Dr. Banks had 330 toothbrushes to give away to his patients.
He gave away 53 toothbrushes in January. He gave away 67
toothbrushes in February. In March he gave away 46
toothbrushes. How many toothbrushes does he have left?​

Answers

Answer:

Dr. Banks Has 164 toothbrushes left to give away or to keep :)

Step-by-step explanation:

subtract 330-53-67-46= 164! Please mark brainliest :)

Answer:

164

Step-by-step explanation:

he had 330 toothbrushes

he gave away 53+67+46

which means he gave away

166 toothbrushes

so we subtract the toothbrushes that he had and the toothbrushes that he gave away.

330-166=164

What is the answer to 53

Answers

The solution is y=(7a+9b)÷8

Step-by-step explanation:

Given equation is;

[tex]\frac{2y-a}{3}=\frac{a+3b}{4}[/tex]

Multiplying both sides by 12;

[tex]12*\frac{2y-a}{3}=\frac{a+3b}{4}*12\\4(2y-a)=3(a+3b)\\8y-4a=3a+9b\\8y=3a+4a+9b\\8y=7a+9b[/tex]

Dividing both sides by 8;

[tex]\frac{8y}{8}=\frac{7a+9b}{8}\\y=\frac{7a+9b}{8}[/tex]

The solution is y=(7a+9b)÷8

Keywords: linear equations, variable

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Sarah is 12 years old. Her sister, Emily, is 8 years less than 3 times Sarah's age. Write an expression for Emily's age in terms of Sarah's age, s.

Answers

Answer:

x= 3s -8

3 times Sarah's age is 3s hence the expression is as shown

Final answer:

Emily's age in terms of Sarah's age can be expressed by the algebraic expression '3s - 8', where 's' is Sarah's age.

Explanation:

The student's question asks to express Emily's age in terms of Sarah's age, s. In the problem, it is stated that Emily is 8 years less than 3 times Sarah's age. This relationship can be expressed as an algebraic expression, where Emily's age, e, is equal to '3s - 8'. In this expression, 's' represents Sarah's age(12 years old in this case), '3s' means '3 times Sarah's age', and '- 8' represents '8 less than' the amount.

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Write the quadratic equation whose roots are 2 and 3, and whose leading coefficient is 1.

Answers

Answer:

[tex]x^{2}[/tex]-5x+6

Step-by-step explanation:

(x-2)(x-3)

= [tex]x^{2}[/tex] -5x + 6

two numbers have these properties both numbers are greater than 6 the highest common factor is 6 the lowest common multiple is 60 find the two numbers

Answers

Final answer:

The two numbers that fulfill these properties are 12 and 30. They both have a highest common factor of 6 and a lowest common multiple of 60.

Explanation:

The two numbers that fit the description provided both need to be greater than 6, have a highest common factor (HCF) of 6, and a lowest common multiple (LCM) of 60.

For two numbers to have an HCF of 6, they must be multiples of 6. Looking at multiples of 6 that are greater than 6, we have 12, 18, 24, 30 etc. Since the LCM must be 60, we aim to find two numbers that when multiplied would produce 60. This leads us to the pair 12 and 30.

12 and 30 have an HCF of 6 (because 12=2*2*3 and 30=2*3*5, so the HCF is 2*3=6), and 12 and 30 both have an LCM of 60. Therefore, the two numbers are 12 and 30.

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Final answer:

The two numbers that meet these criteria, are greater than 6 and the ones that have the highest common factor as 6 and lowest common multiple as 60, are 6 and 60.

Explanation:

In this problem, we are asked to find two numbers that have the following properties: they are both greater than 6, their highest common factor(HCF) is 6 and their lowest common multiple(LCM) is 60. Since HCF is 6, it's logical to assume that the two numbers can be multiples of 6. As per hints given the highest common factor of two numbers is 6 and the lowest common multiple is 60, the numbers should be 6 and 60 as these are the only two numbers that satisfy all conditions.

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2 divided by 1 6/7 in simplest form

Answers

Answer:

1 1/13

Step-by-step explanation:

2/1 6/7

2/ 13/7

2/1*7/13

14/13

1 1/13

Final answer:

The division of '2' by '1 6/7' involves the conversion of the mixed number to an improper fraction, after which it becomes '2 * 7/13'. This simplifies down to '14/13' or '1 1/13'.

Explanation:

To calculate the division of '2' by '1 6/7', we first have to convert '1 6/7' to an improper fraction. '1 6/7' equals '13/7' when simplified. So, now the task is to divide '2' by '13/7'. In the division of fractions, we multiply the first fraction by the reciprocal of the second fraction. Thus, this becomes '2 * 7/13' (i.e. '2' over '1' times '7' over '13'). Multiplying the numerators together gives us '14', and multiplying the denominators together gives us '13'. Therefore, '2 divided by 1 6/7', in simplest form, is '14/13' or '1 1/13' when converted to a mixed number.

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Rewrite the following multiplication problem using the associative property and then show that both results will be the same. (1/2)x(2/3)x(4/5)​

Answers

Answer(1/2)x(2/3)x(4/5)

(1/2x2/3)x(4/5)

(1 1/4x2 1/2)

2 3/4

Step-by-step explanation:

(1/2)x(2/3x4/5)

(1/2x1 3/4)

2 3/4

Y=2x+5 rotate 90 degrees

Answers

Answer:

Don't know

Step-by-step explanation:

Which way? Clockwise or Counterclockwise?

✓ Express 9 inches of rain in 72 hours as a unit rate. *

Answers

The unit rate of 9 inches of rain in 72 hours is calculated by dividing the depth of the rainfall by the duration, resulting in a unit rate of 0.125 inches of rain per hour.

To express 9 inches of rain in 72 hours as a unit rate, you divide the total amount of rain by the total number of hours to find the rainfall intensity per hour. The calculation would go as follows:

Write down the total rainfall depth: 9 inches.

Write down the duration over which the rain occurred: 72 hours.

Divide the total rainfall depth by the duration to calculate the unit rate: 9 inches / 72 hours = 0.125 inches per hour.

So, the unit rate is 0.125 inches of rain per hour.

What is the difference between calculations and patterns

Answers

Answer:

"Calculation" is a mathematical determination of finding the size or number of something while "pattern" is a sequence of elements that is being repeated in a predictable manner.

Step-by-step explanation:

Calculation- This process allows you to put elements together or transform them into a new result. It produces an obvious change.

For example: 7 x 6 = 42

The numbers 7 and 6 when multiplied produces 42.

Pattern- This process allows you to put the elements in an intelligible way. The elements are organized or repeated regularly.

For example: A, B, C, A, B, C, A, B, C

It is noticeable that the letters A, B and C are being repeated in the same way.

Write a word problem using 7 groups. Solve your problem?

Answers

seven groups waited in line to see a concert. there were 9 people in each group. how many people were there in total?

9x7= 63
Final answer:

A real-world problem using 7 groups can be illustrated like a builder constructing 7 buildings each requiring 15 bricks per day. Multiplying these, 7 times 15 gives us 105, which is the total number of bricks needed each day.

Explanation:

Consider a scenario where a builder is constructing 7 buildings. Each building needs 15 bricks per day for construction. We can therefore write a multiplication problem to find out how many total bricks are needed each day.

So, 7 (groups of buildings) multiplied by 15 (bricks per building) equals a total daily brick requirement. To solve this, you simply multiply 7 by 15 which equals 105 bricks needed each day.

This is a simple real-world problem to help understand the concept of multiplication as repeated addition. Here, you're adding 15 bricks 7 times since there are 7 buildings.

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The price of packs of bubble gum are listed in the table below.

Bubble Gum Prices


Size of Pack Price

5 pieces $0.35

10 pieces $0.75

12 pieces $1.00

15 pieces $1.35


Which size pack of bubble gum has the lowest unit rate?


Answers

Answer:

The first one

Step-by-step explanation:

0.35÷5=0.07

0.75÷10=0.075

1.00÷12=0.08

1.35÷15=0.09

at 2:30 a.m. the temperature in joelle is – 3f. the temperature drops 3/4 of a degree in 30 minutes. what is the temperature in joelle at 3:00 a.m.?

Answers

The temperature in joelle at 3:00 a.m. will be -3.75F

Step-by-step explanation:

Given that the temperature was -3F at 2:30 am

Temperature drops by 3/4 of a degree in 30 minutes

3/4 of a degree = 0.75 F

Time difference between 2:30 am and 3:00 am is 30 minutes

Temperature at 3:00 will be;

-3F -0.75 F = -3.75 F

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Eva and jin are new volunteers at the animal shelter . If they both volunteer the first of the month,in how many days will they volunteer on the same day again? Eva volunteers every 3 days and jin volunteers every 5 days

Answers

Answer:

In 15 days

Step-by-step explanation:

Eva Volunteers Every 3 Days:

So, Eva volunteers on:

3rd, 6th, 9th, 12th, 15th, 18th, 21st...and so on DAYS

Jin Volunteers Every 5 Days:

So, Jin volunteers on:

5th, 10th, 15th, 20th, 25th...and so on DAYS

So, we see NEXT which day they vounteer together. Looking at the list, we see that it is on 15th day. This is also the LCM (Least Common Multiple) of 3 and 5.

So, in 15 days, they volunteer on the same day again.

Please answer this correctly

Answers

I think it would be 30 minutes

Answer: 30 minutes

Step-by-step explanation:

Start time: 25 minutes to noon means 25 minutes before* noon. End time: 5 minutes past noon means 5 minutes after* noon.

25mins

+5mins

______

30mins

The center of a circle is located at (3.8), and the circle has a radius that is 5 units long. What is the general form of the equation for the circle?

Answers

Answer:

The general equation of a circle is x² + y² - 6x - 16y + 48 = 0

A spinner has 12 equal sections:5 red 4 green and the rest are black. In 921 spins how many times can you expect to spin black?

Answers

Answer:

230

Step-by-step explanation:

12 sections total

5 red, 4 green, the rest black

12-5-4 = 3 sections are black

3/12 = 1/4 of the sections are black

1/4 represents the probability of landing on black for one spin

(1/4)*921 = 230.25 which rounds to 230

We expect to land on a black section about 230 times out of 921 times total.

3p^4(4p+7p+4p+1)
????????

Answers

The answer is 45p^5 +3p^4

HEY DEAR

Answer:

45p^5 + 3p^4

step by step explanation:-

3p^4( 4p+7p+4p+1)

3p^4 (11p + 4p) +1

3p^4 (15 p +1)

multiplying 3p^4 to both 15p and 1 we get:-

3p^4× 15p +3p^4× 1

=45p^5 +3p^4

HOPE ITS HELPFULL

Divide the following polynomials. Then place the answer in the proper location on the grid. Write your answer in order of descending powers of y. Do not include parentheses in your answer.

(y3 - 4y2 + 7y - 6) ÷ (y - 2)

Answers

Answer:

this is the answer. hope it helps you

Here this is the answer, i hope this helps u have a great day ik this is late sorry...

NEVERMIND sorry this was the answer for another question, this is incorrect for this one.

A 60-kilogram person stands on a compression spring. The spring constant is 2500 Newtons per meter What is the displacement of the spring?

A)0.00392M
B) 0.024m
C)0.1176m
D)0.2352M

Answers

The displacement [tex](\( \Delta x \))[/tex] of the compression spring when a 60-kilogram person stands on it, with a spring constant of 2500 N/m, is approximately -0.2352 meters. The negative sign indicates the direction of the displacement. Therefore, the correct answer is D.

To find the displacement [tex](\( \Delta x \))[/tex] of the spring, you can use Hooke's Law:

[tex]\[ F = -k \cdot \Delta x \][/tex]

Where:

- F is the force applied (weight in this case),

- k is the spring constant, and

- [tex]\( \Delta x \)[/tex] is the displacement of the spring.

Rearrange the formula to solve for [tex]\( \Delta x \)[/tex]:

[tex]\[ \Delta x = -\frac{F}{k} \][/tex]

Substitute the given values:

[tex]\[ \Delta x = -\frac{mg}{k} \]\[ \Delta x = -\frac{(60 \, \text{kg})(9.8 \, \text{m/s}^2)}{2500 \, \text{N/m}} \][/tex]

Calculate the result:

[tex]\[ \Delta x \approx -0.2352 \, \text{m} \][/tex]

The negative sign indicates that the displacement is in the opposite direction to the applied force. Therefore, the correct answer is:

D) [tex]\( -0.2352 \, \text{m} \)[/tex]

Two times a number, plus five, equals the number, minus five.

Find the number and type it in the box.

Answer:

Answers

Answer:

x= -5

Step-by-step explanation:

let the number be x.

2x+5= -5 ====> equation

2x= -5-5. (shifted the +5 to the other side)

2x= -10

x= -10/2 ( shifted 2 on the other side as it was multiplying with x)

x= -5

Final answer:

To solve the equation 'two times a number, plus five, equals the number, minus five,' we set up and simplify the algebraic equation 2x + 5 = x - 5, which ultimately gives us the number x = -10.

Explanation:

The problem states that two times a number, plus five, equals the number, minus five. To find the number, we can set up the equation 2x + 5 = x - 5, where x represents the number we're trying to find.

Step 1: Start by subtracting x from both sides of the equation to get all the x terms on one side and the constant terms on the other side. The equation then becomes: 2x - x + 5 = x - x - 5, simplifying to x + 5 = -5.Step 2: Next, we subtract 5 from both sides of the equation to solve for x: x + 5 - 5 = -5 - 5, which simplifies to x = -10.

Therefore, the number we were trying to find is -10.

How much water must be added to 1 liter of a 5% saline solution to get a 2% saline solution?

Answers

Answer:

- 1,5 liters

Step-by-step explanation:

If  1 liter has 5% of saline solution, we know that our solution has 2,5 times the salt we want it to have: [tex]\frac{5\%}{2\%} =2.5[/tex], which means that, in the liter of water, there is an amount of salt that is 1,5 greater than what is desired.Then, if we want to lower the concentration of salt, we just have to add water. How much water? 1.5 liters. Then, 5% of solution divided in 2.5 liters of water yields in a 2% solution.

Answer:

The water must be added to 1 liter of a 5% saline solution to get a 2% saline solution is 1.5 litres

Explanation:

We assume that the quantity of water added to be x litres. The quantity of saline in the existing solution is 5% of 1litre = 0.05 litres, with the addition of water, the quantity of new solution becomes (1 + x) litres. As per the problem, the percentage of saline in new solution should be equal to 2%. Therefore,

[tex]\frac{0.05}{1+x} \times 100=2[/tex]

So, 5 = 2(1+x)

2x = 5 - 2

[tex]x=\frac{3}{2}=1.5[/tex]

So, 1.5 litres water should be added to make the 1litre 5% saline solution a 2% saline solution.

A community hall is in the shape of a cuboid.
tile:
The hall is 40 m long, 15m wide and
3 m high.
3 m
total
The community hall needs re-decorating
with new paint for the walls and ceiling,
and new tiles on the floor.
15 m
40 m
A 10 litre tin of paint covers
1 m2 floor tiles cost £3 each.

Work out the total cost of
to re-decorate the community hall.

Answers

Answer:

The total cost of  to re-decorate the community hall is £2172.

Step-by-step explanation:

We have been given that a community hall is in the shape of a cuboid. The hall is 40m long 15m wide and 3m high.

The paint will be required for 4 walls and ceiling.

Let us find area of walls and ceiling.

Are of Walls and Ceiling = [tex]2(l+b)h+lb=2(40+15)3+(40\times15)= 6\times55+600= 330+600 =930m^2[/tex]

Therefore, the area of walls and ceiling is 930 square meters.

Given: Cost for 10 litre of paint is £10 and 10 litre paint covers 25 square meter. Therefore,  

Total Painting cost = [tex]10 \times \frac{930}{25} = \£372[/tex]

Therefore, the total painting cost of wall is £372.  

Tiles will be required for floor. Let us find the area of floor.

Area of floor = [tex]l \times b = 40\times15 =600m^2[/tex]

Given: 1m squared floor tiles costs £3. So,

Total Cost for tiles = [tex]3\times600= \£1800[/tex]

Therefore, the total cost for tiles is £1800.

Now let us find total cost of  to re-decorate the community hall;

Total Cost =  the total painting cost of wall + the total cost for tiles = [tex]\£1800+\£372= \£2172[/tex]

Hence, the total cost of  to re-decorate the community hall £2172.

Final answer:

To redecorate the community hall, the cost for tiling the floor will be £4500, and the cost for painting will depend on the price per tin, with a total of 93 tins needed to cover 930m².

Explanation:

To calculate the total cost of re-decorating the community hall, we need to find the areas that need painting and tiling. Since the hall is a cuboid, the paintable area includes the four walls and the ceiling. The floor requires tiling.

The combined area of the four walls can be found by calculating the perimeter of the base, which is the sum of all sides ((2 × length) + (2 × width)), and then multiplying by the height. The ceiling is simply the length multiplied by the width.

Here is how to calculate the areas and costs:

Walls area = (2 × length + 2 × width) × height = (2 × 40m + 2 × 15m) × 3m = (80m + 30m) × 3m = 330m².Ceiling area = length × width = 40m × 15m = 600m².Total paintable area = walls area + ceiling area = 330m² + 600m² = 930m².Total area for paint coverage = 930m² / (coverage of paint per tin) = 930m² / 10m²/tin = 93 tins.Floor area (for tiling) = length × width = 40m × 15m = 600m².Total tile cost = 600m² / 0.4m² (tile area) × £3 (cost per tile) = 1500 × £3 = £4500.

Therefore, the cost for tiling the floor will be £4500, and the cost for painting will be 93 tins (if each tin is assumed to cost a certain amount, which is not specified in the question).

deigo pours 6.8 ounces of water from a full bottle. He estimates that he poured out 20% of the water in the bottle. About how much water was in the full bottle?

Answers

Answer:

20% x 5 = 100%

6.8 x = 34

so there was 34 oz of water in the full bottle

Step-by-step explanation:

Alice wants to buy 3 pounds of veal at the grocery store, but the scales at the store only show weight in kilograms. If one kilogram is 2.20 pounds, how many kilograms of veal should Alice buy?

Answers

Alice should buy 1.36 kilograms of veal.

Step-by-step explanation:

Given,

According to store's scale;

2.20 pounds = 1 kilogram

1 pound = [tex]\frac{1}{2.20}\ kg[/tex]

As Alice wants to buy 3 pounds, therefore,

3 pounds = [tex]\frac{1}{2.20}*3\\[/tex]

[tex]3\ pounds = \frac{3}{2.20}\\3\ pounds = 1.36\ kg[/tex]

Alice should buy 1.36 kilograms of veal.

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Answer:

1.36

Step-by-step explanation:

she wants to buy 3 pounds of veal

we multiply 3 pounds by 1 kg/2.20 lbs

we get 1.36 pounds

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After some time (long enough for many generations to pass, but not long enough for much evolution to occur), it is most likely that: A) The total number of species in each terrarium will be the same. B) The divided terrarium will have more species than the undivided one. C) The undivided terrarium will have more species than the divided one. D) The Pepsi Corporation will buy advertising in your terrariums. E) The Pepsi Corporation will buy advertising in your terrariums, and then "water" them with Pepsi, killing them. Es necesario que l (jugar, leer) las composiciones. Question 2 with 1 blankEs urgente que ustedes (cocinar, llegar) la cena ahora. Question 3 with 1 blankEs mejor que t (tomar, ir) a Madrid por la maana. Question 4 with 1 blankEs bueno que yo (almorzar, traducir) contigo en el parque. Question 5 with 1 blankEs malo que nosotras no (descansar, ser) ms trabajadoras. Please Solve for 3 of them How much do I need to increase my calorie intake? a) It is not necessary to increase calorie intake during pregnancy; b) the body can use the energy stored in adipose tissue to support the growth and development of the baby. c) Double calorie intake to support the growth and development of the baby. d) No increase is needed during the first trimester, but consume an additional 350 450 kcal per day during the second and third trimesters. e) Consume an extra 500 kcal per day throughout pregnancy to gain about 1 pound per week. Nosotros ___ (to him) que estudie ms Moderate temperatures and precipitation, as well as nutrient-rich soil due to annual leaf fall, characterize this biome.a) temperate grasslandb) taigac) deciduous forestd) temperate coniferous foreste) savannah What is 6/7 times 4 2/3 A patient is in cardiac arrest ventricular fibrillation has been refractory a to a second shock which drug should be administered first Hutto Corp. has set the following standard direct materials and direct labor costs per unit for the product it manufactures. Direct materials (15 lbs. @ $3 per lb.) $45 Direct labor (2 hrs. @ $15 per hr.) 30 During May the company incurred the following actual costs to produce 9,000 units. Direct materials (137,100 lbs. @ $2.80 per lb.) $ 383,880 Direct labor (21,600 hrs. @ $15.10 per hr.). 326,160 Required : (1) Compute the direct materials price and quantity variances. (Indicate the effect of each variance by selecting for favorable, unfavorable, and no variance.) Calculate to three significant digits the density of boron trifluoride gas at exactly 20 C and exactly 1atm . You can assume boron trifluoride gas behaves as an ideal gas under these conditions. A postmix beverage machine is adjusted to release a certain amount of syrup into a chamber where it is mixed with carbonated water. A random sample of 25 beverages was found to have a mean syrup content of fluid ounces and the sample standard deviation is fluid ounces. Find a 95% two-sided confidence interval on the mean volume of syrup dispensed. Assume the population is approximately normally distributed. A large manufacturing firm tests job applicants who recently graduated from college. The test scores are normally distributed with a mean of 500 and a standard deviation of 50. Management is considering placing a new hire in an upper level management position if the person scores in the upper 6 percent of the distribution. What is the lowest score a college graduate must earn to qualify for a responsible position? In the story "A Meeting in the Dark," John's character advances the plot and communicates the theme through each of the following conflicts except________.a.man vs. manb.man vs. naturec.man vs. societyd.man vs. himself What is the wavelength (in nm) of the photon absorbed for a transition of an electron from ninitial = 2 that results in the least energetic spectral line in the visible series of the H atom? Cainas Cookies had the following information reported for 2015: Revenues $100,000Expenses $40,000Preferred Dividends $10,000Common Dividends $20,000Preferred shares outstanding - 10,000 shares, $100 par valueCommon shares outstanding - 50,000 shares, $1 par value EPS is:A. $1.20 per shareB. $1.00 per shareC. $.60 per shareD. $.50 per share Which colony is part of the Southern colonies? Connecticut Georgia New Jersey New York The width of a rectangle is the sum of the length and 2. The area of the rectangle is 48 units. What is the width, in units, of the rectangle? Which of the following is equivalent to (c + c)(3d + 5)? 2c + 8d 3cd + 7c 6cd + 10c 6c2d + 5c An electron loses potential energy when it: A. Shifts to a less electronegative atom B. Shifts to a more electronegative atom C. Increases its kinetic energy D. Increases its activity as an oxidizing agent E. Moves further away from the nucleus of the atom