_____ life insurance is for a specific time period and is the cheapest way to buy life insurance.

Answers

Answer 1

Term life insurance is insurance that insures you for a certain time period like 5 years for example.

Usually in months and years is how its done.

Answer 2

Term life insurance is for a specific time period and is the cheapest way to buy life insurance.

Unlike permanent life insurance policies, which cover an individual for their entire life, term life insurance offers protection for a predetermined period, such as 10, 20, or 30 years. Because it does not accumulate cash value and only pays out a death benefit if the insured passes away during the specified term, premiums for term life insurance tend to be lower compared to permanent policies.

The affordability of term life insurance makes it an attractive choice for individuals seeking to secure financial protection for their loved ones during specific critical periods, such as the years when children are growing up or when a mortgage is being paid off.

It's a straightforward and efficient way to provide a death benefit for beneficiaries in case the insured passes away within the chosen term, offering financial security without the long-term commitment and higher premiums associated with permanent life insurance options.


Related Questions

Translate to an algebraic expression the sum of a and 8

Answers

Answer:

umm give me more examples

Step-by-step explanation:

Answer:

x=8+a

Step-by-step explanation:

sum of a and 8

x=a+8

when they say the sum of you add an equal sign

and when they said of a and 8 it means that whatever the sum is its equal to a+8

since the sum wasn't mentioned the sum will be known as a variable

lets put x as the variable

What is a of n equal to?
What is the 10tn term in the sequence?

Answers

Answer:

nth term, [tex]T_n=1(2)^n^-^1[/tex]

10th term, [tex]T_1_0=512[/tex]

Step-by-step explanation:

From the question;

We are given the first term, [tex]a_1=1[/tex]The common ratio, r = 2

We are required to write the formula of getting nth term and find the 10th term of the sequence;

We need to know that for nth term in a geometric sequence, we use the formula;

[tex]T_n=a_1r^n^-^1[/tex]

Therefore, in this case;

nth term will be given by;

[tex]T_n=1(2)^n^-^1[/tex], where n is the term in the sequence;

Therefore;

To get the 10th term of the sequence;

[tex]T_1_0=1(2)^1^0^-^1[/tex]

[tex]T_1_0=1(2)^9[/tex]

[tex]T_1_0=512[/tex]

Therefore, the tenth term of the sequence is 512

#12 wire is 80.81 mils. What is the diameter in inches? Round your answer to five decimal places.

Answers

The diameter of the #12 wire is approximately 0.08081 inches.

Calculating the diameter involves converting the measurement in mils to inches, since an inch is 1000 mils. Once we have the diameter in inches, we can round the answer to five decimal places, as instructed.

So, after performing the necessary calculations, the diameter of the #12 wire with a measurement of 80.81 mils is approximately 0.08081 inches.

A mil is a unit equal to one thousandth of an inch (0.001 inch). To convert mils to inches, we divide the mil measurement by 1000. So, 80.81 mils is equal to

80.81 / 1000 = 0.08081 inches.

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Final answer:

The diameter of the #12 wire in inches is 0.08081 inches, after converting 80.81 mils using the mil to inch conversion factor. The resistance of a wire changes with its gauge; a wire of one gauge number lower would have about 20% less resistance compared to the next higher gauge for the same length.

Explanation:

To convert the diameter of a #12 wire from mils to inches, you need to understand that one mil is equivalent to 0.001 inches. The stated diameter of the #12 wire is 80.81 mils.

By multiplying the value in mils by the conversion factor, we can find the diameter in inches:

80.81 mils × 0.001 inches/mil = 0.08081 inches.

Therefore, the diameter of #12 wire in inches is 0.08081 inches, rounded to five decimal places.

Discussing the resistance and resistivity of copper wire, it's known that resistance is proportional to the length of the wire and inversely proportional to the cross-sectional area.

Gauge sizes have a standardized series of diameters which differ by about 20% from one gauge to the next, which means that a wire with one gauge number lower (higher in diameter) would have approximately 20% less resistance than one of the next higher gauge (smaller in diameter) for the same length of wire.

A line passes through point (3,7)and has a slope of3/4

Answers

Answer:

look at picture shown.

I need someone to explain this to me. I don’t understand it at all. :(

Answers

I don’t understand this either ask the teacher

You were looking at a map with a scale 1inch =40 miles if two towns are separated on the map by 6 inches what is the actual distance between them

Answers

Answer:

240 miles

Step-by-step explanation:

Final answer:

The actual distance between two towns, which are separated by 6 inches on a map with a scale of 1 inch to 40 miles, is 240 miles.

Explanation:

The subject of this question is Mathematics, specifically focusing on understanding how map scales work. In this case, the map scale is 1 inch equals 40 miles. This means, for every inch on the map, it represents 40 miles in actual distance.

To find out the real distance between two towns that are separated by 6 inches on the map, you multiply the map scale distance (40 miles) by the number of inches (6).

Which is, 6 inches x 40 miles = 240 miles.

So, the actual distance between the two towns is 240 miles.

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Please help me asap i will mark branlist please explain

Answers

Answer:

I think it's B. (-1,3)

Step-by-step explanation:

The solution is the point the two lines intersect each other.

The answer is (-1,3)

Chas builds a circular pen for his dog. The radius
of the pen is 9 feet. How much fencing did Chas
use for the pen?
A 28.26 feet
C 63.585 feet
B 56.52 feet
D 254.34 feet
Do you need to
the circumfere
or the area of
circle?
Skye chose A as the correct answer. How did she get that answer?

Answers

Answer:

when ever they say fencing it is perimeter i will send rhe rest later

she did 2×pie (3.14 according to the question )×radius (9)

Answer:

The correct answer is 56.52 feet

Step-by-step explanation:

(I know the question is supposed to be about how skye got the answer but if you wanted to know the real answer im here for you).

Forty-seven percent of fish in a river are catfish. Imagine scooping out a simple random sample of 25 fish from the river and observing the sample proportion of catfish. What is the standard deviation of the sampling distribution? Determine whether the 10% condition is met.


The standard deviation is 0.0998. The 10% condition is not met because there are less than 250 fish in the river.

The standard deviation is 0.0998. The 10% condition is met because it is very likely there are more than 250 fish in the river.

The standard deviation is 0.9002. The 10% condition is met because it is very likely there are more than 250 fish in the river.

The standard deviation is 0.9002. The 10% condition is not met because there are less than 250 fish in the river.

We are unable to determine the standard deviation because we do not know the sample mean. The 10% condition is met because it is very likely there are more than 250 fish in the river.

Answers

Answer: The standard deviation is 0.0998. The 10% condition is met because it is very likely there are more than 250 fish in the river.

Step-by-step explanation:

The standard deviation of the sampling distribution = [tex]\sqrt{\dfrac{p(1-p)}{n}}[/tex] , where p= population proportion and n = sample size.

Let p be the proportion of  fish in a river are catfish.

As per given , we have

p= 0.47

n= 25

The, the standard deviation of the sampling distribution will be [tex]\sqrt{\dfrac{0.47(1-0.47)}{25}}[/tex]

[tex]=\sqrt{0.009964}\approx0.0998[/tex]

The 10% condition : Sample sizes should be no more than 10% of the population.

But a river can have more than 250 fish [where 10% of 250 =25 (sample size)]

i.e. The 10% condition is met because it is very likely there are more than 250 fish in the river.

So the correct answer is "The standard deviation is 0.0998. The 10% condition is met because it is very likely there are more than 250 fish in the river."

Answer:

The standard deviation is 0.0998. The 10% condition is met because it is very likely there are more than 250 catfish in the river.

Step-by-step explanation:

I got it right on the quiz

which is the product of 7/9 and 6? answer it

Answers

Final answer:

The product of multiplying 7/9 and 6 is 42/9, which can also be expressed as the mixed number 4 and 2/3.

Explanation:

Finding the product of two numbers in mathematics is a fundamental concept which involves multiplying the numbers together.

In the specific case of multiplying a fraction by a whole number, like 7/9 and 6, the process is straightforward.

To calculate 7/9 multiplied by 6, you can think of the whole number 6 as a fraction with a denominator of 1, which would make the problem 7/9 x 6/1.

When multiplying fractions, you simply multiply the numerators together and then multiply the denominators together. In this instance, the multiplication would look like (7 x 6) for the numerator and (9 x 1) for the denominator.

That simplifies to 42 over 9, which can be further simplified or left as an improper fraction depending on the context of the problem or the instructor's directions.

In the case of 42/9, which is already simplified, we can conclude that the product of 7/9 and 6 is 42/9, or 4 and 2/3 when written as a mixed number.

Factor completely x3 + 7x2 − 2x − 14.
(x − 7)(x2 − 2)
(x + 7)(x2 + 2)
(x + 7)(x2 − 2)
(x − 7)(x2 + 2)

Answers

Answer:

(x + 7) (x^2 - 2)

When you multiply these two factors together, you should get the original polynomial as your answer.

Hope this helps :)

The factor of the provided polynomial after the factorization process are similar to option C,  (x+7)(x²-2)

How to find the factor of polynomial?

The factor of a polynomial is the terms in linear or equation form, which are when multiplied together, give the original polynomial equation as result.

Find these factors by taking out the common factors.

The given polynomial equation in the problem is,

x³+7x²-2x -14

The above equation has the unknown variable x and the highest power of this unknown variable is 3.

Take out the highest common factor x², which can divide each term of the first two terms of equation (x³, 7x²). Thus,

x²(x+7)-2x-14

Take out the highest common factor -2 from the second two terms as,

x²(x+7)-2(x+7)

Now take out the common group (x+7) as,

(x+7)(x²-2)

Hence, the factor of the provided polynomial after the factorization process are similar to option C, which is

(x+7) (x²-2)

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The perimeter of parallelogram ABCD is 30 cm. AD is 3cm more than twice AB FIND THE LENGTH OF AB

Answers

Answer:

4 cm

Step-by-step explanation:

Perimeter of a parallelogram is 2b+2h=30 where b is base and h is height.

if AD is 3cm more than twice AB, then it's 3+2x where x is length of AB.

Input this into the perimeter equation: 2(3+2x)+2(x)=30

Simplify to get 6+6x=30

x=24/6=4

Answer is 4 cm.

Final answer:

The length of AB in the parallelogram is 4 cm after solving the algebraic equation for the given perimeter.

Explanation:

The student is asking us to find the length of AB in a parallelogram ABCD where the perimeter is given as 30 cm, and side AD is 3 cm more than twice the length of AB. We can use algebra to determine the length of AB in a few steps.

Let's denote AB as 'x'. Since opposite sides of a parallelogram are equal, AD and BC will equal '2x + 3' while CD will also equal 'x'. The formula for the perimeter (P) of a parallelogram is P = 2(AB + BC), so substituting our known values and solving for 'x' will give us the length of AB.

Putting it all together:

P = 2(AB + BC)30 cm = 2(x + 2x + 3)30 cm = 2(3x + 3)30 cm = 6x + 630 cm - 6 = 6x24 cm = 6xx = 4 cm

Therefore, the length of AB is 4 cm.

What is the diameter of a cylinder that has a volume of 237 cubic units and a height of 3 units? Show your calculations.

Answers

Answer:

The Diameter  of the cylinder is  10.29 units

Step-by-step explanation:

Given:

Volume  of the Cylinder =  237 cubic units

Height of the Cylinder =  3 units

To Find :

Diameter = ?

Solution:

The Volume of the cylinder = [tex]\pi r^2 h[/tex]

where

r is the radius

h is the height

On substituting the values

[tex]237 = \pi (r)^2 (3)[/tex]

[tex]\frac{237}{ 3 \pi} = r^2[/tex]

[tex]\frac{79}{\pi} = r^2[/tex]

[tex]25.146 = r^2[/tex]

r = 5.014 units

Noe the diameter is  =  2r = 2( 5.014) =  10.29 units

Is 65% greater than 5/8

Answers

Answer:

Yes it is. 65 as a decimal is .65, 5/8 is .625, so 65% is greater

Step-by-step explanation:

the answer to your question is yes

2) Solve the System of Equations using Substitution. (5 points) -3x+2y=12 x=2y-8

Answers

Answer:

x= -2 and y= 3

Step-by-step explanation:

since x = 2y -8, substitute this in the first equation

Thus, -3(2y-8) + 2y =12

-6y+24+2y=12

-6y+2y=12-24

-4y=-12

y=3

put the value of y in the second equation,

x=2y-8

x=2(3)-8

x=6-8

x=-2

So, x=-2. y=3

Answer:

  (x, y) = (-2, 3)

Step-by-step explanation:

You want the solution to the system of equations ...

-3x +2y = 12x = 2y -8

Substitution

Using the second equation, we can add 8 to get an expression for 2y:

  x +8 = 2y

Substituting this into the first equation gives ...

  -3x +(x +8) = 12

  -2x = 4 . . . . . . . . . simplify, subtract 8

  x = -2 . . . . . . . . divide by -2

  -2 +8 = 2y . . . . substitute for x in the rearranged equation 2

  y = 6/2 = 3 . . . . . . simplify, divide by 2

The solution is (x, y) = (-2, 3).

Solve 13 + x> 11. Enter your answer as an inequality.
HINT

Answers

Answer:

x>-2

Step-by-step explanation:

13+x>11

x>11-13

x>-2

Round to the place value of underlined digit
64,999

Answers

65,000 .............................

PLEASE ANSWER

What is the slope of the graph?

Answers

(4-(-1)) / ( 3 - 0) = 5/3

Answer:

The slope is 5/3

Step-by-step explanation:

In order to find the slope from a graph, you have to use the method called "rise over run". You do this by looking at the point (0,-1). and going up on the y axis and counting until its on the SAME y axis for the next point which is at (3,4). If you count from -1 to 4, you'll get 5, which is the rise number. Next you have to solve the "run" number. Now that we already have our rise number start from (0,4) and count how many ticks/counts it takes to move the x axis to the point (3,4). It takes 3 counts. Since it's called rise/run. You put 5 at the top, and 3 at the bottom.

[tex]\frac{5}{3}[/tex]

Hope this helps :)

Which are perfect cubes?

8
21
27
125
126
1,000
1,331
1,332



HELP ASAP ):

Answers

Answer:

8 ; 27 ; 125 ; 1000 ; 1331

Step-by-step explanation:

8 = 2³

27 = 3³

125 = 5³

1000 = 10³

1331 = 11³

Answer:

8, 27, 125, 1000, 1331.

Step-by-step explanation:

2^3 = 8

3^3 = 27

5^3 = 125

10^3 = 1000

11^3 = 1331

HURRY
If you try to solve a linear system by the substitution method and get the result 0 = 8, what does this mean?

A. The system has one solution, (0, 8).
B.The system has one solution, (8, 0).
C.The system has no solutions.
D.the system has an infinite number of solutions.

Answers

Answer:

C

Step-by-step explanation:

0 = 8 is a false statement which means the system has no solutions

The 0 = 8 shows the system has no solutions.

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

we have 0= 8.

First whenever we get 0 = 0 in this case the solution will infinite many solution.

and, if we get the quantities on both side are equal then it have unique solution.

Lastly, if we have non equal quantity on both side of equal like 0= 8 then it does not have any solution.

Hence, 0 = 8 shows the system has no solutions.

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Tanya needs to earn another $100 to buy a new cell phone . She works 5 days this week. How much money will she have to earn each day in order to be able to buy the phone?​

Answers

100$/5 days
100 divided by 5 is equal to 20
She’ll need to earn at least 20$ per day.

tom and jerry have to stuff and seal 63 envelopes for a new marketing campaign. jerry can stuff and seal 15 envelopes in 2 minutes. tom can do 3 envelopes per minutes . how long would it take them if they work together ?

Answers

Answer:

5

Step-by-step explanation:

The time taken to stuff and seal 63 envelopes by both Tom and Jerry will be 6 minutes.

Given the Parameters :

Jerry's rate = 15/2 = 7.5 envelopes per minute Tom's rate = 3 envelopes per minute

Combined rate :

Jerry's rate + Tom's rate 7.5 + 3 = 10.5 envelopes per minute

Time taken if they work together :

Total number of envelopes = 63 Total time taken = total number envelopes ÷ combined rate Total time taken = (63 ÷ 10.5) = 6 minutes

Therefore, the time taken of they both worked together will be 6 minutes

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7. A person walks at a speed of 1.5 m/s for 35 seconds. How far has the person walked?

Answers

Answer:

52.5 meters

Step-by-step explanation:

1.5 times 35 would equal 52.5 meters.

Answer:

52.5 meters

Step-by-step explanation:

1.5 * 35

The reading on a car speedometer has 1.6% maximum error the speed limit on the road is 65 miles per hour


A) the speedometer reads 64 miles per hour is it possible that the cat is going over the speed limit



B) the speedometer reads 64 miles per hour is the car definitely going over the speed limit

Answers

Answer:

For A) it is possible that the speed  the cat is going over the speed limit

For B) The statement is false as if the error is negative, the speed of the car will be less than the speed limit.

Step-by-step explanation:

Data provided in the question:

Maximum error  on a car speedometer = 1.6% = 0.016

Maximum Speed limit on the road = 65 miles per hour

Now,

The error will be ± 1.6%

Now,

When the speedometer reads 64 miles per hour

The possible speed of the car can be

64 miles per hour + Error

= 64 + [0.016 × 64]

= 64 + 1.024

= 65.024 miles per hour

or

The speed can be

64 miles per hour - Error

= 64 - [0.016 × 64]

= 64 - 1.024

= 62.976 miles per hour

Hence,

For A) it is possible that the speed  the cat is going over the speed limit

For B) The statement is false as if the error is negative, the speed of the car will be less than the speed limit.

What conjecture can you make about the number of regions created by n unique diameters ?

Answers

Answer:

2n

Step-by-step explanation:

Look at the photo below for the details.

:)

Diameter of circle is known as greatest chord of the circle.

Number of regions created by n unique diameter is 2n.

Diameter of circle is two times of its radius.

By 1 diameter, two region is created in circle

By 2 diameter, 4 region is created in circle.

By 3 diameter , 6 region is created in circle.

Therefore, by n unique diameters, 2n regions is created in circle.

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how to solve math word problems​

Answers

Look for key terms in the word problem to figure out if it’s addition, multiplication, division, or subtraction and then use the numbers to figure it out

Answer:

You have to know how to interperet a problem

Step-by-step explanation:

god gave you a brain use it

Help please (easy) *attachment below*

Answers

Answer:

x = 17.

Step-by-step explanation:

We know that the two angles are supplementary (equal 180) as they are found on a straight line. Therefore,

(5x - 18) + (4x + 45) = 180.

9x + 27 = 180.

9x = 153.

x = 17.

Given that the Probability of a chance event is a number between zero and one that expresses the likelihood of the event occurring, choose all that are correct.

•0 indicates a certain event
•0.25 indicates an unlikely event
•0.75 indicates a likely event
•1 indicates an impossible event
•0.5 indicates equally likely to occur or not occur.
Please help if you can, thank you! ✨

Answers

Answer:

The correct statements are:

• Second statement: 0.25 indicates an unlikely event

• Third statement: 0.75 indicates a likely event

• Last statement: 0.5 indicates equally likely to occur or not occur.

Explanation:

Since the probability of a chance event is a number between 0 and 1 that expresses the likelihood of the event occurring, you can translate it into:

A zero probability (0) means that the event is impossible, it will never happen. For example, the probability that when you roll a 6-sided die (with numbers 1 to 6) you get an irrational number is 0, meaning that it will never occur.

A one probability (1) means that the event will occur with certainty. For instance, the changes to roll an even or odd number when you roll a 6-sided die is 100%

You migth split the likelihood in some notorius outcomes:

0: impossible (the event will never happen)Close to zero (about 0 - 0.3): unlikely (the chances are small)0.5: even (equal chances of happening and not happening)Close to 1 (about 0.7 - 1): likely (the changes are large)1: certain (it is 100% sure that the event will happen)

That means that:

first statement, 0 indicates a certain event, is incorrect.0.25 indicates an unlikely event (second statement is correct)0.75 indicates a likely event (third statement is correct)third statement is incorrect (1 does not indicate an impossible event, but a certain event)0.5 indicates equally likely to occur or not occur (fith statement is correct).

The correct statements are:

0.25 indicates an unlikely event0.75 indicates a likely event0.5 indicates equally likely to occur or not occur.

What are the correct statements?

Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

If probability is 0.5, there are equal chances that the event might occur or would not occur. If probability is less than 0,5, it is unlikely the even t would occur and if it is greater than 0.5, it is likely the event would occur.

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Tahmar knows the formula for simple interest is l=prt where I represent the simple interest on an amount of money p for t years at r rate she transforms the equation to isloate p : p using this formula what is the amount of money p that will generate $20 at a 5% interest rate over 5 years

Answers

Answer:

  $80

Step-by-step explanation:

The formula for p is ...

  p = I/(rt)

Filling in the given values, we get ...

  p = $20/(0.05·5) = $80

The amount that will generate the desired interest is $80.

A school is designing two rectangular parking lots. The second parking lot is being designed so that its perimeter is 3/4 of perimeter of the first parking lot. Determine the Perimeter of the second parking lot.

Answers

The perimeter of second plot is 180 feet

Solution:

Given that,

The second parking lot is being designed so that its perimeter is 3/4 of perimeter of the first parking lot

Find the perimeter of first plot:

Perimeter = 2(length + width)

From given figure in question,

length = 40 feet

width = 80 feet

Therefore,

Perimeter = 2(40 + 80)

Perimeter = 2(120) = 240

Thus, we got,

Perimeter of first parking plot = 240 feet

Also, given that,

[tex]\text{Perimeter of second plot }= \frac{3}{4} \times \text{Perimeter of first parking plot}\\\\\text{Perimeter of second plot }= \frac{3}{4} \times 240\\\\\text{Perimeter of second plot }= 180[/tex]

Thus perimeter of second plot is 180 feet

Final answer:

To find the perimeter of the second parking lot, you multiply the perimeter of the first parking lot by 3/4. For example, if the first parking lot has a perimeter of 100 meters, the second would be 75 meters.

Explanation:

The problem revolves around the concept of perimeter, specifically of a rectangle. The perimeter of a rectangle is given by the formula 2*(length + width). Now, according to the question, the perimeter of the second parking lot is three-quarters (3/4) that of the first. So, if we denote the perimeter of the first parking lot as 'P', then the perimeter of the second parking lot would be (3/4)*P.

For instance, if the perimeter of the first parking lot is 100 meters, then the perimeter of the second parking lot would be (3/4)*100 = 75 meters. Hence, the second parking lot's perimeter is determined by the first parking lot's perimeter, reduced by a quarter.

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Determine the coordinates of the vertices of the rectangle to compute the area of the rectangle using the distance formula (roundto the nearest integer).A) 35units B) 50units C) 60units D) 70units Fully simplify. 3x2y5(5x5y4)-3x^2y^5(5x^5y^4) 3x 2 y 5 (5x 5 y 4 ) A has the magnitude 14.4 m and is angled 51.6 counterclockwise from the positive direction of the x axis of an xy coordinate system. Also, B = ( 14.3 m )i + (8.52 m )j on that same coordinate system. We now rotate the system counterclockwise about the origin by 20.0 to form an x'y' system. On this new system, what are (a) and (b) B, both in unit-vector notation? (a) Number i 4.545346 It i 13.66381 Units m (b) Number i 10.52359 + i 12.89707 Units its Which country fears it might now have too many doctors and nurses? Multiply the algebraic expression using a Special Product Formula and simplify.(x 7y)^2 The Clayton Antitrust Act ______. established a central banking system for the United States is an example of the expansion of the role of government during the Progressive Era strengthened the Sherman Antitrust Act prevented businesses from taking part in unfair business practices Select the one that matches in gender, number, and case for each of these. ducemlegesnovaebonimisero A bakery uses ounces of icing for every of a cake. What is the unit rate in ounces of icing per cake? A. ounces of icing per cake B. ounces of icing per cake C. ounces of icing per cake D. ounces of icing per cake A pot of boiling water at 212 degrees Fahrenheit on the stove has less thermal energy than a hot tub full of water at 100..4 degrees. true or false Which housing option gives you more freedom and more responsibilities What is 1 1/3 times 1 4/9 in fraction form Which characteristic gives a live radio play of a story an advantage over thebook of the same story?O A. Its ability to use sound effects to bring a story to lifeO B. Its dependence on audience participation and imaginationO C. Its ability to be edited for best performanceO D. Its ability to be experienced by people from other countries How did African Americans try to appeal for justice during conventions I need to know this Use properties of rational numbers to multiply the following. 6/7 x 42.21 main purpose of the presidents State of the Union address is toidentify major policy issues.explain Supreme Court decisions.challenge congressional actions.speak out against political opponents. Halley's comet moves about the Sun in an elliptical orbit, with its closest approach to the Sun being 0.59 A.U. and its greatest distance being 35 A.U. (A.U. is the Earth-Sun distance). If the comet's speed at closest approach is 47 km/s, what is its speed when it is farthest from the Sun? Given f(x) = x + 8x and g(x) = x4, choosethe expression for (fg)(x). Izzy Ice Cream has the following price and cost information: Price per 2-scoop sundae $ 5.00 Variable cost per sundae: Ingredients 1.35 Direct labor 0.45 Overhead 0.20 Fixed cost per month $ 5,100 Required: 1. Determine Izzys break-even point in units and sales dollars. 2. Determine how many sundaes must be sold to generate a profit of $10,200. 3. Calculate Izzys new break-even point for each of the following independent scenarios: a. Sales price decreases by $0.50. b. Fixed costs decrease by $300 per month. c. Variable costs increase by $0.50 per sundae. 4. Based on the original information, how many sundaes must Izzy sell to generate a profit of $24,000, if sales price increases by $0.50 and variable costs increase by $0.30? In each diagram below, determine whether the triangles are congruent, similar, but not congruent, or not similar. If you claim that the triangles are similar or congruent, make a flowchart justifying your answer.