______ is 1 less than 168​

Given:

There are given that the expression:

Explanation;

First, let's notice that we need positives to numbers inside both roots.

So,

The root of a negative number is a math error.

Then,

With that information, let us analyze the options.

From option A:

If we add 5 to this inequality, we have:

That means the number in the first root is positive.

Now, we want 1-x to be positive:

So, it is positive:

Final answer;

Hence, the correct option is A.

Answer:

  B.  A point

Step-by-step explanation:

You want a description of the intersection between a plane and a cone given that the plane is parallel to the base and passes through the vertex of the cone.

The vertex of a cone is a single point. If a plane passes through that, but does not intersect the base of the cone, it will not intersect anywhere else.

The intersection is one point.

__

Additional comment

Figure f in the attachment illustrates this case.

Answer:

8/24

1/3 (simplified)

Step-by-step explanation:

You first subtract the amount of homework you already did

24-12=12

12-4=8

8/24

(optional)

Simplify

8/24 = 1/3

Funke has #18.65 LEFT, which was obtained by Subtracting her initial amount from amount spent.

SPENDING:

Total amount = #40

fish fillet = 99k /dozen

vegetable = 3 at #1.25 each

oranges = 27 at 7k each

meat = 4.6kg at #3.20 per kg

To obtain the amount Funke has left, we subtract the total amount of items she purchased from the total amount she has :

Total cost of :

Fish fillet, 1kg = 99K = #0.99

Vegetable, 3kg = 3 * 1.25 = #3.75

Oranges, 27 = 27 * 7 = #1.89

Meat, 4.6 = 4.6 * 3.20 = #14.72

TOTAL AMOUNT SPENT = (0.99 + 3.75 + 1.89 + 14.72) = #21.35

AMOUNT SHE HAS LEFT :

(INITIAL AMOUNT - TOTAL AMOUNT SPENT)

= #40 - #21.35

= #18. 65

Therefore, the amount Funke has left after making the above purchases is #18.65

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The number 842 is the number whose digit 4 is ten times larger than in the number 384

To solve the problem, we need to find a number in which the digit 4 is ten times larger than in the number 384.

In the number 384, the digit 4 is in the ones place, which means that its value is 4.

To find a number in which the digit 4 is ten times larger, we need to find a number in which the digit 4 is in the tens place and its value is 10 times larger than 4, which is 40.

The only answer option that fits this description is 842. In this number, the digit 4 is in the tens place and its value is 40, which is ten times larger than its value in the number 384.

Therefore, the correct answer is 842.

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Answer:

perimeter=40

area=80

Step-by-step explanation:

(I am solving without the area of a trapezoid formula btw)

convert 2/3ft to inches so 8in

then find the length adjacent to 8in (2/3ft) so we will use the Pythagorean theorem a^2+8^2=10^2

a^2+64=100

a^2=36

a=6

now lets find the area for the triangle and the one on the right side.

(8*6)/2=24

24+24=48

the combined area of both triangles is 48 so we are left off with a rectangle

8*4=32

32+48=80

the perimeter will be 10+10+4+16=40

Answer: 5 weeks

Explanation:

To find out when both siblings will have the same amount of money in their savings accounts, we need to solve the system of equations:

y = 10x + 25

y = 5x + 50

We can set the two equations equal to each other and solve for x:

10x + 25 = 5x + 50

5x = 25

x = 5

Therefore, after 5 weeks, both siblings will have the same amount of money in their savings accounts. So the answer is 5 weeks.

Answer:

6

Step-by-step explanation:

12x + 3 = 11x + 9 because these two angles are corresponding angles

12x - 11x = 9 - 3

x = 6

All boxes should be used. S Find the measure of DAE Find x (3x+25)*.

Circle Properties

The circles are said to be congruent if they have equal radii.

The diameter of a circle is the longest chord of a circle.

Equal chords of a circle subtend equal angles at the center.

The radius drawn perpendicular to the chord bisects the chord.

Circles having different radii are similar.

The following four properties and their proofs were introduced: Property 1: The angles at the center and at the circumference of a circle subtended by the same arc. Property 2: Angles at the circumference are subtended by a diameter. Property 3: Angles at the circumference of a circle subtended by the same arc.

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Answer:

4.1

Step-by-step explanation:

cos 63° = WX/9

WX = 9 × cos 63°

WX = 4.1

Answer:

Sometimes. Say x = 3 and y = 4. 3 + 4 = 7, 3 - 4 = -1. However, the subtraction problem can be greater than the addition if you add some negatives into the mix. Say x = 3 and y = -4. 3 + (-4) is the same as subtracting 4, which give you -1. However, when you subtract negative four, it's the same as adding four, which gives you seven.

The growth constant is 1.0986 and the trout population will increase to 14600 after 2.1 years. The result is obtained by using the logistic equation.

The increase of population can be found by using the logistic equation. It is

\(P(t) = \frac{K}{1 + Ae^{-kt} }\)

Where

Sunset Lake is stocked with the rainbow trout. We have

Find the growth constant k and time t when P(t) = 14600!

A = (K - P₀)/P₀

A = (28000 - 2800)/2800

A = 25200/2800

A = 9

After 1 year, we have 7000 rainbow trout. The growth constant is

\(7000 = \frac{28000}{1 + 9e^{-k(1)} }\)

\(1 + 9e^{-k} = 4\)

\(9e^{-k} = 3\)

\(e^{-k} = \frac{1}{3}\)

k = - ln (1/3)

k = 1.0986

Use k value to find the time when the population will increase to 14600!

\(14600 = \frac{28000}{1 + 9e^{-1.0986t} }\)

\(1.9178 = 1 + 9e^{-1.0986t}\)

\(0.9178 = 9e^{-1.0986t}\)

\(\frac{0.9178 }{9} = e^{-1.0986t}\)

\(t = \frac{ln \: 0.10198}{-1.0986}\)

t = 2.078

t ≈ 2.1 years

It is in another 1.1 years after t = 1.

Hence, the growth constant k is 1.0986 the population will increase to 14600 when t is 2.1 years.

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The probability that a marble drawn is red is 0.4286, marble is odd-numbered is 0.5, and marble drawn is red or blue is 1.

There are 6 red marbles and 8 blue marbles, for a total of 14 marbles. The probability of drawing a red marble is the number of red marbles divided by the total number of marbles

P(Red) = 6/14 = 0.4286 (rounded to four decimal places)

There are 6 red marbles and 8 blue marbles, and 7 of them are odd-numbered (1, 3, 5, 7). The probability of drawing an odd-numbered marble is the number of odd-numbered marbles divided by the total number of marbles:

P(Odd) = 7/14 = 0.5 (rounded to four decimal places)

The probability of drawing a red or blue marble is the sum of the probabilities of drawing a red marble and a blue marble:

P(Red or Blue) = P(Red) + P(Blue)

To find P(Blue), we note that there are 8 blue marbles and 14 total marbles. Therefore,

P(Blue) = 8/14 = 0.5714 (rounded to four decimal places)

Now we can find P(Red or Blue)

P(Red or Blue) = P(Red) + P(Blue) = 6/14 + 8/14 = 14/14 = 1

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(a) 45 tens is equal to 450. :- True

(b) 12.3 is equal to 123 ones. :- True

(c) 80 tens is greater than 6 hundreds. :- True

(d) 43,200 is less than 50 thousands. :- True

(e) 60 hundreds = 6,000 :- True

Consider the first statement,

45 tens are equal to 450

So, 45 tens mean 45 times 10 is written as:

45 × 10 = 450

Hence, it's true.

Consider the second statement,

12.3 is equal to 123 ones.

Now, 123 ones is equal to 123 times 1.

123 × 1 = 123

Hence, the statement is true.

Consider the third statement,

80 tens is greater than 6 hundreds.

Now 80 tens = 80 × 10 = 800

Now, 6 hundreds = 6 × 100 = 600

Now, 800 > 600

Hence, the statement is true.

Consider the fourth statement.

43,200 is less than 50 thousands.

Now, 50 thousands = 50 × 1000 = 50,000

We know,

50,000 > 43,200

Therefore, the statement is true.

Consider the fifth statement,

60 hundreds = 6000

Now, 60 hundreds = 60 × 100 = 6000

Therefore, the statement is true.

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Answer:

\(-210\)

Step-by-step explanation:

We have the function:

\(f(x)=x^3-2x^2-51x-108\)

And we want to find the remainder when it is divided by \((x-2)\).

We can use the Polynomial Remainder Theorem, where if we have a function \(f(x)\) divided by a binomial \((x-a)\), then our remainder will be \(f(a)\).

Here, our divisor is \((x-2)\), so our a is 2.

Therefore, our remainder will be \(f(2)\). Let's substitute this for x. This yields:

\(f(2)=(2)^3-2(2)^2-51(2)-108\)

Evaluate. Do the exponents:

\(f(2)=8-2(4)-51(2)-108\)

Multiply:

\(f(2)=8-8-102-108\)

Subtract:

\(f(2)=-210\)

So, our remainder is -210.

And we're done!

The width of the duck pond is,

⇒ 27 feet

We can see that the given diagram is a rectangle,

And we know that,

Rectangles are four-sided polygons with all internal angles equal to 90 degrees. At each corner or vertex, two sides meet at right angles. The rectangle differs from a square in that its opposite sides are equal in length.

Now, By given diagram we have;

We have to given that;

Use the scale drawing to determine how wide the duck pond is.

And there are 4.5 feet in 1 square,

Therefore,

1 square is equal to 4.5 feet

So, we get;

The width of the duck pond is,

⇒ 6 square

We know that,

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Then to find width of duck pond in feet,

Multiply 6 with 4.5

⇒ 6 × 4.5 feet

⇒ 27 feet

Thus, The width of the duck pond is,

⇒ 27 feet

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Answer:

The first term is 6; the common difference in 0.8.

Step-by-step explanation:

The nth term is:

\( a_n = a_1 + (n - 1)d \)

The sum of the first n terms is:

\( S_n = \dfrac{n(a_1 + a_n)}{2} \)

\( a_{n} = a_1 + (n - 1)d \)

\( a_{11} = a_1 + (11-1)d \)

\( a_1 + 10d = 14 \)        Equation 1

\( S_n = \dfrac{n(a_1 + a_n)}{2} \)

\( S_{26} = \dfrac{26(a_1 + a_{26})}{2} \)

\( \dfrac{26(a_1 + a_1 + 25d}{2} = 416 \)

\( \dfrac{52a_1 + 650d)}{2} = 416 \)

\( 26a_1 + 325d = 416 \)        Equation 2

Equation 1 and Equation 2 form a system of equations in 2 unknowns.

To eliminate a_1, subtract 26 times Eq. 1 from Eq. 2.

\( 65d = 52 \)

\( d = \dfrac{52}{65} \)

\( d = \dfrac{4}{5} = 0.8 \)

\( a_1 + 10d = 14 \)

\( a_1 + 10 \times 0.8 = 14 \)

\( a_1 + 8 = 14 \)

\( a_1 = 6 \)

Answer:

The first term is 6; the common difference in 0.8.

A, percentages

You would see percentages on a circle graph, because it's how many parts of the whole that they take up.

Happy to help, have a great day! :)

Answer:

Step-by-step explanation:

similar - AA

The ΔBES is similar to ΔGES by AA similarity postulate.

Similar triangles are those triangles, where the angles of the triangles are equal and the sides are proportional.

Given a bigger triangle BEG.

There are two smaller right angled triangles BES and GES.

For ΔBES, ∠BES = 40° and ∠BSE = 90°

For ΔGES, ∠GES = 40° and ∠GSE = 90°

By AA similarity postulate, if two angles of one triangle is equal to two angles of another triangle, then the triangles are similar.

Here, two angles of ΔBES is equal to two angles of ΔGES.

So two triangles are similar.

Hence the two triangles are similar by AA similarity postulate.

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Your question is incomplete. The complete question with the image of the triangle is as given below.

Answer:

The perimeter of the parallelogram is 2πr

Step-by-step explanation:

The area of the circle should be the same as the area of the parallelogram. Therefore, the area of the circle cannot equal the area of the parallelogram.

Hope this helps. (:

Answer: passes a horizontal AND vertical line test✅; no repeating x values✅

Step-by-step explanation:

To pass a line test, the function must pass BOTH the horizontal and vertical line test. If it only passes one but not the other, is it NOT a function.

Lastly, it can be a function if it has repeating y values.

Answer:

the top term of a fraction is the numerator

I could offer a credit of $66.6.

A percentage is a number or ratio expressed as a fractin of 100. It is often denoted using a percent "%" sign.

The given bill of customer =  $333.0.

Credit can be given to customer = 20%

Now,I can credit a customers account up to 20% of full amount due

For credit off to be offer,we need to find 20% of $333

⇒  20% of $333 =  20/100*333

⇒  20% of $333 =  $66.6

Hence, I could offer a credit of $66.6

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Complete Question

It is found that on average, 9% of the population recycles its garbage. Under this assumption, if a random sample of 120 households in Iowa City is taken, would you be surprised to find that fewer than 3% of households in the sample recycle their garbage? Use the fact that p-hat has an approximately normal distribution.

Group of answer choices

A I would not be surprised because there are lots of lazy students in Iowa City.

B I would not be surprised because 3% is not that far away from 9%.

C I would be surprised because Iowa City is a very clean community which means lots of people recycle their garbage.

D I would be surprised because if the 9% average is true, the chance of a sample proportion being less than 3% is very small (only 1%). Who cares? It's only garbage!

Answer:

The correct option is D

Step-by-step explanation:

From the question we are told that

    The sample size is  n  = 120

    The  mean of the proportion is  p =  0.09

Generally the standard deviation is mathematically represented as

      \(\sigma  =  \sqrt{\frac{p(1-p)}{n} }\)

=>   \(\sigma  =  \sqrt{\frac{0.09(1-0.09)}{120 } }\)

=>   \(\sigma  = 0.02612\)

Generally the chance that fewer than 3%   of households in the sample recycle their garbage is mathematically represented as

    \(P(X < 0.03) =  P( \frac{X - p}{\sigma}  <  \frac{0.03 -0.09}{0.02612} )\)

    \(P(X < 0.03) =  P( Z  < -2.297 )\)

From the z-table  

     \(P( Z  < -2.297 ) = 0.01\)

=> \(P(X < 0.03) = 0.01/tex]

=>   \(P(X < 0.03) = 1\% /tex]

Answer:

It will take 1 5/7 hours

Step-by-step explanation:

3/4 of an hour is;

3/4 * 60 minutes = 45 minutes

3 1/2 acres is done in 45 minutes

8 acres will be done in x minutes

Thus, mathematically;

3 1/2 * x = 8 * 45

7x/2 = 360

7x = 2 * 360

7x = 720

x = 720/7 minutes

Let us convert this to hours

That will be;

720/7/60 = 720/(60 * 7) = 720/420 = 12/7

= 1 5/7 hours