On the surface, it seems easy. Can you think of the integers for x, y, and z so that x³+y³+z³=8? Sure. One answer is x = 1, y = -1, and z = 2. But what about the integers for x, y, and z so that x³+y³+z³=42?

That turned out to be much harder—as in, no one was able to solve for those integers for 65 years until a supercomputer finally came up with the solution to 42. (For the record: x = -80538738812075974, y = 80435758145817515, and z = 12602123297335631. Obviously.)

Answers

Answer 1

Answer:

Well ,lets see∉ if you add theose numbers togetherФ it maybe it he answe ris 4=67 *64  ---4 67x54 5xe4t4 6x

Step-by-step

Answer 2

Answer:

if i see them it my be 5x6x7=76 6(*)665_+65x673 then add those toether then sub em 56-78-463=738

Step-by-step explanation:


Related Questions


During the flu epidemic, 98 of 392 middle school students we
hool students were absent on a
single day. What percent of the students were absent?

Answers

Answer:

25% of the students were absent.

Step-by-step explanation:

100/392=0.26*98=25

To check 25%=1/4

so, 98*4=392

which makes sense.

41 = 32 - r solve each equation linear equations

Answers

Let's solve your equation step-by-step.
41=32−r

Step 1: Simplify both sides of the equation.
41=32−r
41=32+−r
41=−r+32

Step 2: Flip the equation.
−r+32=41

Step 3: Subtract 32 from both sides.
−r+32−32=41−32
-r=9

Step 4: Divide both sides by -1.
−r/ −1 = 9/−1
r=−9

The answer is r=-9

Write the equation of a function whose parent function, f(x) = x + 5, is shifted 3 units to the right.

a) g(x) = x + 3
b) g(x) = x + 8
c) g(x) = x − 8
d_ g(x) = x + 2

Answers

Answer:

[tex]g(x) = x + 2[/tex]

Step-by-step explanation:

Parent function [tex]f(x) = x + 5[/tex], is shifted 3 units to the right.

If f(x) is shifted 'a' units to the right then f(x) becomes f(x-a)

If f(x) is shifted 'a' units to the left then f(x) becomes f(x+a)

[tex]f(x) = x + 5[/tex], is shifted 3 units to the right.

Then we subtract 3 from x

So , [tex]f(x) = x + 5[/tex] becomes [tex]f(x-3) = x-3 + 5=x+2[/tex]

[tex]g(x) = x + 2[/tex]

The equation of function will be;

g (x) = x + 2

Option d is true.

What is Function?

A relation between a set of inputs having one output each is called a function.

Given that;

Parent function, f(x) = x + 5 is shifted 3 units to the right.

Since, If a function f(x) is shifted 'a' units to the right then function f(x) becomes f(x-a).

So, The equation of function will be calculated as;

The parent function is shifted 3 units to the right.

Then, we subtract 3 as;

g (x) = x + 5 - 3

g (x) = x + 2

Thus, The equation of function will be;

g (x) = x + 2

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Which exponential function goes through the points 1,8 and 4,64

Answers

Is the first one f(x)=4(2)^x because

f(x)=4(2)^1
f(x)=4*2
f(x)=8.

I used (1, 8) .



For (4, 64) is

f(x)=4(2)^4
f(x)=4*16
f(x)=64.

Answer: the correct answer is B

Write 10^15 in standard form

Answers

In order to get the answer to this question you will have to multiply the whole number as many times as it's exponent so in this case you will have to multiply 10, 15 times.

[tex]10^{15}[/tex]

[tex]10^{15} = 10\times10\times10\times10\times10\times10\times10\times10\times10\times10\times10\times10\times10\times10\times10[/tex]

[tex]10\times10\times10\times10\times10\times10\times10\times10\times10\times10\times10\times10\times10\times10\times10 = 1000000000000000[/tex]

[tex]= 1000000000000000[/tex]

Therefore your answer is "1,000,000,000,000,000."

Hope this helps.

I believe it would be 10000000000000000

What percent of 208 is 114.4

Answers

Answer:

55%

Step-by-step explanation:

all you have to do is divide 114.4 by 208 to get 0.55, then turn that into a percentage by moving the decimal 2 times to the right.

Answer:

55%

Step-by-step explanation:

[tex]\bold{METHOD\ 1}\\\\\begin{array}{ccc}208&-&100\%\\\\114.4&-&p\%\end{array}\qquad\text{cross multiply}\\\\208p=(100)(114.4)\\\\208p=11440\qquad\text{divide both sides by 208}\\\\p=\dfrac{11440}{208}\\\\p=55[/tex]

[tex]\bold{METHOD\ 2}\\\\\text{Calculate the quotient of given numbers and convert it to the percent:}\\\\\dfrac{114.4}{208}=0.55\\\\0.55\cdot100\%=55\%[/tex]

Complete the place value chart for the following number.Write its number name and tell the value of the underlined digit.
6.325 the underlined digit is 2

Answers

Answer:

two hundredths

Step-by-step explanation:

6 is in the ones place. 3 is in the tenths place. 2 is in the hundredths place

5 is in the thousandths place.

Answer:

two hundredths

Step-by-step explanation:

its two places after the decimal point

Which number sentence is TRUE?

A. 3 ÷ 1 < 0 ÷ 3
B. 0 ÷ 3 > 3 ÷ 3
C. 3 ÷ 1 > 3 ÷ 3
D. 3 ÷ 3 < 4 ÷ 4

Answers

c, 3 divided by 1 is 3 and 3 divided by 3 is only one, so it is true that 3 is greater than 1

The correct option is C. 3 ÷ 1 > 3 ÷ 3.

To solve this problem, we need to evaluate each of the given number sentences to determine which one is true.

A. 3 ÷ 1 < 0 ÷ 3

First, we perform the divisions:

3 ÷ 1 = 3

0 ÷ 3 = 0

Now we compare the results:

3 < 0

This statement is false because 3 is not less than 0.

B. 0 ÷ 3 > 3 ÷ 3

Again, we perform the divisions:

0 ÷ 3 = 0

3 ÷ 3 = 1

Now we compare the results:

0 > 1

This statement is false because 0 is not greater than 1.

C. 3 ÷ 1 > 3 ÷ 3

We perform the divisions:

3 ÷ 1 = 3

3 ÷ 3 = 1

Now we compare the results:

3 > 1

This statement is true because 3 is greater than 1.

D. 3 ÷ 3 < 4 ÷ 4

We perform the divisions:

3 ÷ 3 = 1

4 ÷ 4 = 1

Now we compare the results:

1 < 1

This statement is false because 1 is not less than 1; they are equal.

Therefore, the only true statement is C. 3 ÷ 1 > 3 ÷ 3.

Round 503.782 to the nearest tenth

Answers

The value 503.782 to the nearest tenth is 503.8

Rounding up to the nearest tenth means we want only a digit to be placed after the decimal point.

Given the value 503.782, this value to the nearest tenth will be 503.8.

Note that 1 was added to the value "7" after the decimal point. This was because the adjacent value "8" is more than 4.

Hence the value 503.782 to the nearest tenth is 503.8

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Final answer:

To round 503.782 to the nearest tenth, the digit in the hundredths place is 8, which is greater than or equal to 5. Therefore, the rounded number is 503.8.

Explanation:

To adjust 503.782 to the closest 10th, we really want to take a gander at the digit in the hundredths place, which is the second digit after the decimal point. It is 7 in this instance.

Since 7 is more prominent than or equivalent to 5, we gather together the digit in the tenths place, which is the primary digit after the decimal point. For this situation, it is 8.

Therefore, 503.8 is obtained by rounding 503.782 to the nearest tenth.

To round 503.782 to the nearest tenth, we look at the digit in the hundredths place, which is 8. Since 8 is greater than or equal to 5, we round up. Therefore, the rounded number is 503.8.

Choose all the statements that are true about this sequence.
60, 66, 72, 78

The value of the first term is 1.

This is an arithmetic sequence.

The value of the third term is 72

The sequence starts at 60 and adds 4 repeatedly.

The sequence starts at 66 and adds 6 repeatedly.

There are four terms in this sequence.

The sequence starts at 60 and adds 6 repeatedly.

Answers

This is an arithmetic sequence

The value of the 3rd term is 72

There are 4 terms in this sequence

The sequence starts at 60 and adds 6 repeatedly

Answer:

b, c, f, g

Step-by-step explanation:

The price per share of a stock changed by -$4.50 on each of 5 consecutive days. If the starting price per share was $67.50, what was the ending price?​

Answers

Answer:

$45

Step-by-step explanation:

Multiply 4.5 by 5 to give you the total amount lost over 5 days,which is 22.5. If you lost 22.5 and started with 67.5, subtract the two to get your answer

What is the solution for x in the equation 0.5x+4+0.9x=x+5

Answers

Answer:

2.5

Step-by-step explanation:

Use the given functions to set up and simplify  

D

.

x

=

0.5

x

+

4

+

0.9

x

=

x

+

5

=

x

=

2.5

A

=

x

=

2.5

x

=

2.4

=

x

=

2.5

B

=

x

=

2.5

x

=

0.42

=

x

=

2.5

C

=

x

=

2.5

x

=

0.4

=

x

=

2.5

D

=

x

=

2.5

x

=

2.5

=

x

=

2.5

The solution for x in the equation 0.5x + 4 + 0.9x = x + 5 is 2.5.

Given that:

0.5x + 4 + 0.9x = x + 5

It is required to find the value of x.

In order to find the value of x, first operate the like terms together and then solve it to find the value of x.

Consider,

0.5x + 4 + 0.9x = x + 5

1.4x + 4 = x + 5

Subtract both sides by x.

0.4x + 4 = 5

Subtract both sides by 4.

0.4x = 5 - 4

0.4x = 1

Now, divide both sides by 0.4.

x = 1 / 0.4

x = 2.5

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Tell which property you used 64+58=58+64​

Answers

This is Communative Property of Addition

Answer:Communitive Property

Step-by-step explanation: You can only do this property with addition and multiplication because you are able to switch the places and still get the same answer

an electrician charges $322 for 7 hours of work. how much does the electrician charge per hour?​

Answers

Answer:

The electrician charges $46 per hour

Step-by-step explanation:

we know that

An electrician charges $322 for 7 hours of work

so

using proportion

Find out how much does the electrician charge per hour

Let

x ----> the charge per hour

[tex]\frac{322}{7}\frac{\$}{h}=\frac{x}{1}\frac{\$}{h}\\\\x=322/7\\\\x=\$46[/tex]

therefore

The electrician charges $46 per hour

The electrician charges $46 per hour.

The total charge is $322, and the total number of hours worked is 7.

To find the charge per hour, use the formula:

Charge per hour = Total charge / Number of hours

Substitute the given values into the formula:

Charge per hour = 322 / 7

Perform the division:

322 divided by 7 equals 46. Therefore, the electrician charges $46 per hour.

So, the calculation is:

Charge per hour = 46

Which are correct statements regarding proofs? Select three options.

1. In a paragraph proof, statements and their justifications are written in sentences in a logical order.

2. A two-column proof consists of a list statements and the reasons the statements are true.

3. A flowchart proof gives a visual representation of the sequence of steps without justifications.

4. A paragraph proof is a two-column proof in sentence form.

5. A two-column proof lists only the given information and what is to be proven.

Answers

Answer:

In a paragraph proof, statements and their justifications are written in sentences in a logical order.

A two-column proof consists of a list statements and the reasons the statements are true.

A paragraph proof is a two-column proof in sentence form.

Step-by-step explanation:

In a paragraph proof, statements and their justifications are written in sentences in a logical order.A two-column proof consists of a list statements and the reasons the statements are true.A paragraph proof is a two-column proof in sentence form.

A paragraph proof is only a two-column proof written in sentences. However, since it is easier to leave steps out when writing a paragraph proof.

A two-column geometric proof consists of a list of statements, and the reasons that we know those statements are true. The statements are listed in a column on the left, and the reasons for which the statements can be made are listed in the right column

The statements regarding proofs are,

(1)In a paragraph proof, statements and their justifications are written in sentences in a logical order.

2. A two-column proof consists of a list of statements and the reasons the statements are true and

(4) A paragraph proof is a two-column proof in sentence form.

We have given that the statement is,In a paragraph proof, statements and their justifications are written in sentences in a logical order.

A two-column proof consists of a list of statements and the reasons the statements are true.

A flowchart proof gives a visual representation of the sequence of steps without justifications.

A paragraph proof is a two-column proof in sentence form.

A flowchart proof gives a visual representation of the sequence of steps without justifications.

A paragraph proof is a two-column proof in sentence form.

A two-column proof lists only the given information and what is to be proven.

What is the meaning of logical order?

Logical order is when all of the messages and segments within a group are in their logical sequence.

So we have the correct statements are

In a first, statements in paragraph proof,and their justifications are written in sentences in a logical order.A two-column proof consists of a list of statements and the reasons the statements are true.A paragraph proof is a two-column proof in sentence form.

A paragraph proof is only a two-column proof written in sentences. However, since it is easy to leave steps out when writing a paragraph proof.

A two-column geometric proof consists of a list of statements, and the reasons that we know those statements are true.

The statements are listed in a column on the left, and the reasons for which the statements can be made are listed in the right column

Therefore the statement 1. 2 and 4 are true.

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Simplify: -24w^2+ (-4w^2)
Enter the original expression if it cannot be
simplified.
Enter the correct answer.

Answers

The answer is [tex]-28w^2[/tex]

Consider the cubic function f(x) = x^3 + ax^2 + bx + 4 where (a) and (b) are constants. When f(x) is divided by x-3, the remainder is 10. When f (x) is divided by x+1, the remainder is 6.

Show that a = -1 and b = -4

Answers

Answer:

see explanation

Step-by-step explanation:

Using the Remainder theorem

If f(x) is divided by (x - h) then f(h) = remainder, thus

f(3) = 3³ + a(3)² + b(3) + 4 = 10, that is

27 + 9a + 3b + 4 = 10

9a + 3b + 31 = 10 ( subtract 31 from both sides )

9a + 3b = - 21 → (1)

f(- 1) = (- 1)³ + a(- 1)² + b(- 1) + 4 = 6, that is

- 1 + a - b + 4 = 6

a - b + 3 = 6 ( subtract 3 from both sides )

a - b = 3 → (2)

Rearrange (2) expressing a in terms of b

a = 3 + b → (3)

Substitute a = 3 + b into (1)

9(3 + b) + 3b = - 21 ← distribute and simplify left side

27 + 9b + 3b = - 21

12b + 27 = - 21 ( subtract 27 from both sides )

12b = - 48 ( divide both sides by 12 )

b = - 4

Substitute b = - 4 into (3)

a = 3 - 4 = - 1

Hence a = - 1 and b = - 4

Todd and Agnes are making desserts. Todd buys
peaches and a carton of vanilla yogurt. Agnes
buys apples and a jar of honey. They bought
the same number of pieces of fruit. Is there a
situation in which they pay the same amount for
their purchases? Explain.
apples
peaches=
$1.25 ea. For peaches
$1 ea. For the apples
YOGUR
HONEY=
$4 for yogurt
$6 for honey

Answers

Answer:

If the number of fruits is 8, then Todd and Agnes will pay the same amount for their purchases

Step-by-step explanation:

Let

x ----> the number of pieces of fruit

y ----> the total pay for the purchase

we know that

Todd

[tex]y=1.25x+4[/tex] ----> equation A (peaches plus a carton of vanilla yogurt)

Agnes

[tex]y=1.00x+6[/tex] ----> equation B (apples plus a jar of honey)

Equate equation A and equation B and solve for x

[tex]1.25x+4=1.00x+6[/tex]

[tex]1.25x-1.00=6-4[/tex]

[tex]0.25x=2[/tex]

[tex]x=8\ pieces\ of\ fruits[/tex]

therefore

If the number of fruits is 8, then Todd and Agnes will pay the same amount for their purchases

Arun scores 36 marks in English 44 marks in Hindi and 75 marks in maths and X in Science if average score is 50 find the value of x​

Answers

Answer:

x = 45

Step-by-step explanation:

The average is calculated as

average = [tex]\frac{score}{count}[/tex]

here the average = 50 , thus

[tex]\frac{36+44+75+x}{4}[/tex] = 50

Multiply both sides by 4

36 + 44 + 75 + x = 200

155 + x = 200 ( subtract 155 from both sides )

x = 45

Miss smith’s pay is directly proportional to the number of hours she work at the airport. Her pay for 22 hours is $297.How much should she earn in a 40 hour week

Answers

Answer:

She should earn $540 in a 40 hour week

Step-by-step explanation:

we know that

Her pay for 22 hours is $297

so

using proportion

Find out how much should she earn in a 40 hours week

[tex]\frac{22}{297}=\frac{40}{x}\\\\x=297*40/22\\\\x= \$540[/tex]

IF A SUBSCRIPTION IS $499 PLUS 8% TAX FOR 30 DAYS, BUT IS BEING PRORATED FOR 7 DAYS, PLUS THERE IS A $10 OFF COUPON, WHAT'S THE FINAL COST?

Answers

Answer:

$528.92

Step-by-step explanation:

The subscription given is $499 plus 8% tax

Add tax

108/100 * $499 = $538.92

$538.92 for 30 days.

If its being promoted for 7 days there is a $10 off coupon, this will be;

$538.92-$10 = $528.92

Final cost = $528.92

f(x)=x^2+1
g(x)=2x-5
Find f(x)-g(x)​

Answers

Answer:

[tex]\large\boxed{f(x)-g(x)=x^2+2x+6}[/tex]

Step-by-step explanation:

[tex]f(x)=x^2+1\\\\g(x)=2x-5\\\\f(x)-g(x)=(x^2+1)-(2x-5)\\\\f(x)-g(x)=x^2+1-2x-(-5)\\\\f(x)-g(x)=x^2+1-2x+5\qquad\text{combine like terms}\\\\f(x)-g(x)=x^2+2x+(1+5)\\\\f(x)-g(x)=x^2+2x+6[/tex]

Which equation has the solutions x = 1 plus-or-minus StartRoot 5

Answers

For this case we have the following solutions:

[tex]x_ {1} = 1 + \sqrt {5}\\x_ {2} = 1- \sqrt {5}[/tex]

Then, the factorized equation is of the form:

[tex](x- (1+ \sqrt {5})) (x- (1- \sqrt {5})) = 0\\(x-a) (x-b) = 0[/tex]

We apply distributive property:

[tex]x ^ 2-bx-ax + ab = 0\\x ^ 2- (1- \sqrt {5}) x- (1+ \sqrt {5}) x + (1+ \sqrt {5}) (1- \sqrt {5}) = 0\\x ^ 2-x + \sqrt {5} x-x- \sqrt {5} x + (1 ^ 2- \sqrt {5} + \sqrt {5} - (\sqrt {5}) ^ 2) = 0\\x ^ 2-2x + (1-5) = 0\\x ^ 2-2x-4 = 0[/tex]

ANswer:

The equation is [tex]x ^ 2-2x-4[/tex]

0.08 os ten times great as ...
0.5 is ten times great as

Answers

Answer:

Part 1) The number is 0.008

Part 2) The number is 0.05

Step-by-step explanation:

Part 1) we have

0.08 is ten times great as ...

That means----> 10 times a number is equal to 0.08

Let

x -----> the number

To find the number divide 0,08 by ten  

so

0.08=10x

x=0.08/10

x=0.008

Part 2) we have

0.5 is ten times great as...

That means----> 10 times a number is equal to 0.5

Let

x -----> the number

To find the number divide 0,5 by ten  

so

0.5=10x

x=0.5/10

x=0.05

Mrs. Alvarez asked her class how many hours of TV they watched per day (to the nearest half hour) The results were shown: 0 - 1 hours = 1/6 : 1 1/2 - 2 hours = 5/12 : 2 1/2 - 3 = 1/4 : 3 hours & over = 1/6. What fraction of students watch between 0 and 2 hours of TV a day.

Answers

Answer: 7/12

Step-by-step explanation:

Answer:

7/12

Step-by-step explanation:

The problem is asking us to find what fraction of students watch between 0 and 2 hours of TV a day:

The information we have is:

0 - 1 hours = 1/6

1 1/2 - 2 hours = 5/12

We only need this information because it is asking us for 0 to 2 hours.

Now we have to add the fraction of students that watch TV 0-1 hours and the fraction of students watch TV 1 1/2 - 2 hours:

1/6 + 5/12

To be able to solve this we have to have the same denominator and to do it we have to multiply the first fraction by 2:

(1/6) *2 = 2/12

Now we can add:

2/12 + 5/12 = 7/12

We add the numerators and the denominator stays the same.

This is the answer to a problem or an equation

Answers

I think it is the solution

Answer:solution

Step-by-step explanation:

I got it right

If the trip takes 3 hours for a total distance of 350 km, travelling at x hours at 120km/h and remaining time at 60 km/h

Answers

Answer:

x = 2.8 hours

Explanation

Total distance = 350 km

Time period = 3 hrs

Hence we need to formulate an equation...,

Distance = Speed × Time

; Distance covered travelling at 120 = 120x Since the total time period was 3hrs...then the remaining time is (3 - x)

;Distance covered travelling at 60 = 60(3- x)

The equation is going to be...,

; 120x + 60(3 - x) = 350...since total distance is 350 km

; 120x + 180 - 60x = 350

; 60x = 170....divide both sides by 60

Hence..., x = 2.8 hours

Classify the expression: 5x + 2x - 3

A. Quadratic expression
B. Linear expression
C. Cubic expression
D. Exponential expression

Answers

your answer is B) Linear expression

The expression [tex]\(5x + 2x - 3\)[/tex] is a linear expression.

The expression [tex]\(5x + 2x - 3\)[/tex] represents a linear expression because it consists of terms involving only the variable \(x\) raised to the power of 1. In other words, each term is a linear term.

Linear expressions depict relationships that are straight lines when graphed on a Cartesian plane. In this case, \(5x\) and \(2x\) are both linear terms since they involve the variable \(x\) raised to the first power, while the constant term \(-3\) does not involve \(x\) at all.

The expression simplifies to [tex]\(7x - 3\),[/tex] maintaining its linear form. Linear expressions are fundamental in algebra and represent relationships with constant rates of change.

5.241 divided by 3 please help me​

Answers

The answer to your question is 1.747

The required, 5.241 divided by 3 equals approximately 1.747.

To divide 5.241 by 3, we can perform the division as follows:

    1.747

------------

3 | 5.241

To start, we divide the whole number part, 5, by 3. The result is 1, which becomes the whole number part of the quotient.

Next, we bring down the decimal point and consider the decimal part of the dividend, which is 0.241. We can continue the division process by adding a decimal point to the quotient and placing a 0 to the right of the decimal point.

   1.747

 3 | 5.241

     - 3

     -----

       24

Now, we divide 24 by 3, which gives us 8. We bring down the next decimal digit, which is 1, and continue the division:

   1.747

 3 | 5.241

     - 3

      -----

       24

     - 24

      -----

         1

Since there are no more decimal digits to bring down, we have finished the division. The final quotient is 1.747, rounded to three decimal places.

Therefore, 5.241 divided by 3 equals approximately 1.747.

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A manufacturing company produced 1,800 vehicle.of those 30% were trucks 25% were sports cars, and 10% were vans. How many of the vehicle were not trucks,sports cars, or vans ?

Answers

Answer:

630

Step-by-step explanation:

if you add the percentages of the trucks, sport cars and vans you get:

30% + 25% + 10% = 65%. So to find the percentage of vehicles that aren't in this categories you substract this percentage from 100%.

100% - 65% = 35%

This means that 35% of the vehicles aren't in those categories, so to find the amount you just multiply the total of vehicles with the percentage an then divide by 100

(1,800*35)/100 = 630 vehicles

Other Questions
Can someone please help with question number 8? Thanks! (Will give brainliest! If physical energy can be turned into thermal energy how hard do I have to punch a chicken to cook it Change a speed of 72.4 miles per hour to its equivalent in meters per second. Todd and Agnes are making desserts. Todd buyspeaches and a carton of vanilla yogurt. Agnesbuys apples and a jar of honey. They boughtthe same number of pieces of fruit. Is there asituation in which they pay the same amount fortheir purchases? Explain.applespeaches=$1.25 ea. For peaches$1 ea. For the applesYOGURHONEY=$4 for yogurt$6 for honey If the trip takes 3 hours for a total distance of 350 km, travelling at x hours at 120km/h and remaining time at 60 km/h A nurse is providing education to a client with infertility concerns. Which statement by the client indicates appropriate understanding of the Spinnbarkeit Test? A. at midpoint in my menstrual cycle, i need to come to the clinic for a cervical exam looking for color changes to my cervical mucus B. i will need to purchase an OTC ovulation kit that will tell me when I am currently ovulating C. I will need to purchase a microscope and look for a fern-like pattern from a sample of my cervical mucus to indicate when i am ovulating D. halfway in my cycle I will need to check my cervical mucus to see if i can stretch it in to long strands, indicating i am close to ovulating The Ryan family had a fire that destroyed their home. Various departments of a restoration company, from the initial cleanup crew to the assistance with the Ryan family moving back in, worked together to achieve this goal. All of the company's interrelated parts working together to accomplish a goal (in this case, the restoration of the Ryan home) is an example of a ____ Chemical EquationsInstructions: Solve the following chemical equations.For the following reaction, calculate how many moles of NO2forms when 0.356 moles of the reactant completely reacts. 2 N2O5(g) ---> 4 NO2(g) + 02(g) During a plane showcase, a pilot makes circular "looping" with a speed equal to the sound speed (340 m/s). However, the pilot can fall when the acceleration is more than 8g, with g being the gravitational constant. Find the radius of the smallest circle that the pilot can take. (HINT: Think about the centripetal acceleration). Prove that quadrilateral ABCD with the vertices A (2,1), B (1,3), C (-5,0) D (-4,-2) is a rectangle. Graph the rectangle and then use appropriate formulas to justify / prove your answer. Which part of a feedback mechanism receives messages from severalsensors, compares actual conditions to set points, and determines whetherthere are differences from set points?OA) effectorOB) stimulusOC) responseOD) integrating center Why is ethnic conflict common in Sub-Saharan Africa? a)The region has few natural resources. b)People living near the equator are hot tempered. c)Most of the countries in the region are landlocked. d)Country borders do not reflect cultural groups. This is the specific type of contamination, or poisoning, of lakes, rivers, oceans, and other bodies by harmful compounds such as raw sewage and industrial chemicals.what is this called? Jamie's dressing and eating habits are heavily influenced by television programs, Internet fads, and pop music videos. Moreover, she acts and talks like her favorite actress as well. In this scenario, Jamie's behavior is most likely influenced by ________. The planning team should represent the many facets of the community, including governmental and nongovernmental entities, the private sector, infrastructure owners and operators, and civic leaders. A. TRUE B. FALSE Plz help me thank you so much!! Choose all the statements that are true about this sequence.60, 66, 72, 78The value of the first term is 1.This is an arithmetic sequence.The value of the third term is 72The sequence starts at 60 and adds 4 repeatedly.The sequence starts at 66 and adds 6 repeatedly.There are four terms in this sequence.The sequence starts at 60 and adds 6 repeatedly. what is the necessary condition on a force the result the conservation of angular momentum for a particle affected by that force? Which statement is true of pH buffers? (a) They consist of strong acids and strong bases. (b) They keep the pH of the blood constant. (c) They consist of weak acids and weak bases. Both (a) and (b). Both (b) and (c). Mrs. Alvarez asked her class how many hours of TV they watched per day (to the nearest half hour) The results were shown: 0 - 1 hours = 1/6 : 1 1/2 - 2 hours = 5/12 : 2 1/2 - 3 = 1/4 : 3 hours & over = 1/6. What fraction of students watch between 0 and 2 hours of TV a day.