Which of the following amounts could be represented by the whole tape diagram?

PLEASE HELP!!!

Yes, the equation C-1(A+X)B-1=In has a solution, X. To find the solution, first use C-1(A+X)B-1=In to simplify to C-1 AB-1=In+X. Next, use matrix multiplication to expand C-1AB-1 to In+X = AC-1B-1-B-1C-1. Subtract In from both sides of the equation to get X=AC-1B-1-B-1C-1-In. This is the solution for X, where A, B, and C are nan invertible matrices.

Given that A, B, and C are invertible nan matrices, we have to check if the equation C-1(A+X)B-1=In has a solution or not, and if there is a solution, we have to find X.

Let's solve it. Let's multiply both sides of the equation by B and C, respectively, we get C-1(A+X)B-1B = IB and C-1(A+X) = B. Now, we have to multiply both sides by C on the left, so we get C*C-1(A+X) = CB, which becomes A+X = CB.

Now we have to multiply both sides by B-1 on the right, so we get A + XBB-1 = CBB-1, which becomes A + XB-1 = CB-1.Now, we have to multiply both sides by C-1 on the left, so we get C-1A + C-1XB-1 = I.

Now, we have to multiply both sides by B and C, respectively, which results in C-1AC-1B + XC-1B = B. Finally, X = B(C-1AC-1B)B-1 - C-1B + I. We know that if A and B are matrices of the same order, then (AB)-1 = B-1A-1. By using this property, we can write the solution as X = B-1(A-1 + C-1)-1B-1 - C-1B + I. So, the solution exists for the given equation.

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Answer:

definitely C

Step-by-step explanation:

because the fhitnesss grahm pacer test.....

Solution:

Note that:

Using the perimeter of the smaller triangle, solve for x.

The length of x is 2 units.

No

5w - 12 > 64

5w > 64+12

5w > 76

w > 15,2

So, the answer is w > 15,2

Hope I helped :)

Answer:

  a=0.17, b=2/9, c=1/4

Step-by-step explanation:

Effectively, you're being asked to put the numbers 0.17, 1/4, and 2/9 in order, least to greatest.

One relatively easy way to do this is to write the fractions as decimal values. Your calculator can help, if you don't have these memorized.

  1/4 = 0.25

  2/9 = 0.22...(repeating)

So, least-to-greatest, the numbers are ...

  0.17, 2/9, 1/4

Then a=0.17, b=2/9, c=1/4.

_____

As a check, you can compare b and c to 1/5, whose decimal equivalent is 0.20. Our solution says 0.17 < 1/5 < 2/9 < 1/4, which we now know to be true based on the decimal equivalents rounded to hundredths:

  0.17 < 0.20 < 0.22 < 0.25

Answer:

17

Step-by-step explanation:

I'm pretty sure that's right learned this last year. Good luck!

The largest angle in the pentagon with consecutive even interior angle sizes is 112 degrees.

Let's assume the smallest interior angle of the pentagon is x degrees. Since the angles are consecutive even numbers, the other four angles can be expressed as x + 2, x + 4, x + 6, and x + 8 degrees.

The sum of the interior angles of a pentagon can be calculated using the formula: (n - 2) * 180 degrees, where n is the number of sides of the polygon. For a pentagon, the sum of the interior angles is (5 - 2) * 180 = 3 * 180 = 540 degrees.

Now, let's add up the five angles of the pentagon:

x + (x + 2) + (x + 4) + (x + 6) + (x + 8) = 540

Simplifying the equation:

5x + 20 = 540

5x = 540 - 20

5x = 520

x = 520 / 5

x = 104

So, the smallest interior angle, x, is 104 degrees. The largest interior angle is x + 8 = 104 + 8 = 112 degrees.

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The amount that will have accumulated in 10 years after the last deposit is approximately $13,299.25.

To calculate the accumulated amount, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A = Accumulated amount

P = Principal amount (initial deposit)

r = Annual interest rate (as a decimal)

n = Number of times interest is compounded per year

t = Number of years

In this case, Sklyer has made deposits of $680 at the end of every quarter for 13 years, so the principal amount (P) is $680. The annual interest rate (r) is 5%, which is 0.05 as a decimal. The interest is compounded annually, so the number of times interest is compounded per year (n) is 1. And the number of years (t) for which we need to calculate the accumulated amount is 10.

Plugging these values into the formula, we have:

A = $680(1 + 0.05/1)^(1*10)

  = $680(1 + 0.05)^10

  = $680(1.05)^10

  ≈ $13,299.25

Therefore, the amount that will have accumulated in 10 years after the last deposit is approximately $13,299.25.

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Answer:

5. Obtuse

6. Right

7. Acute

Step-by-step explanation:

5. 5,12,15

The square of the longest side is 15^2 = 225. The sum of the squares of the two shorter sides is 5^2 + 12^2 = 169. Since 169 < 225, the triangle is obtuse.

6. 6,8,10

The square of the longest side is 10^2 = 100. The sum of the squares of the two shorter sides is 6^2 + 8^2 = 100. Since 100 = 100, the triangle is right.

7. 12,10,13

The square of the longest side is 13^2 = 169. The sum of the squares of the two shorter sides is 12^2 + 10^2 = 244. Since 244 > 169, the triangle is acute.

First we find the slope of the line 2x−3y+8=0 by placing it into slope intercept form:

2x−3y+8=0

⇒−3y=−2x−8

⇒3y=2x+8

⇒y=  

3

2

​

x+  

3

8

​

Therefore, the slope of the line is m=  

3

2

​

.

Now since the equation of the line with slope m passing through a point (x  

1

​

,y  

1

​

) is

y−y  

1

​

=m(x−x  

1

​

)

Here the point is (2,3) and slope is m=  

3

2

​

, therefore, the equation of the line is:

y−3=  

3

2

​

(x−2)

⇒3(y−3)=2(x−2)

⇒3y−9=2x−4

⇒2x−3y=−9+4

⇒2x−3y=−5

Hence, the equation of the line is 2x−3y=−5.

Answer:

y=2/3x-11/3

Step-by-step explanation:

Hi there!

We are given the equation 2x-3y=9 and we want to write an equation that is parallel to it and that passes through (4,-1)

Parallel lines have the same slopes

So we need to first find the slope of 2x-3y=9

We can do this by converting the equation of the line from standard form (ax+by=c where a, b, and c are integers) to slope-intercept form (y=mx+b, where m is the slope and b is the y intercept)

To do this, we need to isolate y on one side

2x-3y=9

subtract 2x from both sides

-3y=-2x+9

divide both sides by -3

y=2/3x-3

as 2/3 is in the place where m is, 2/3 is the slope of the line

It's also the slope of the line parallel to it that passes through (4,-1).

Here's the equation of that line so far:

y=2/3x+b

now we need to find b

as the line will pass through the point (4,-1), we can  4 as x and -1 as y in order to solve for b

-1=2/3(4)+b

multiply

-1=8/3+b

subtract 8/3 to both sides

-11/3=b

Substitute -11/3 as b into the equation

y=2/3x-11/3

There's the equation

Hope this helps!

To model the area burned as a function of time, we can use the formula for the area of a circle, which is A = πr^2. In this case, the radius of the circle is given by r(t) = 2t + 1, where t represents time in minutes.

To find the area burned at any given time, we substitute the expression for r(t) into the formula for the area:

A(t) = π(2t + 1)^2

Now, let's simplify this equation step by step:

1. Expand the square:
A(t) = π(4t^2 + 4t + 1)

2. Distribute π to each term inside the parentheses:
A(t) = 4πt^2 + 4πt + π

So, the function modeling the area burned as a function of time is A(t) = 4πt^2 + 4πt + π.


We are given the radius of the circle of burning forest as r(t) = 2t + 1, where t is the time in minutes. To find the area burned, we need to use the formula for the area of a circle, which is A = πr^2. By substituting the expression for r(t) into the formula, we get A(t) = π(2t + 1)^2. Simplifying further, we expand the square and distribute π to each term inside the parentheses, resulting in A(t) = 4πt^2 + 4πt + π.


The function A(t) = 4πt^2 + 4πt + π models the area burned as a function of time, where t represents the time in minutes.

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Answer:

Total gas used = 3/2 of a tank of gas

Step-by-step explanation:

Visit to friend = 6/8 of a tank of gas

Commute to work = 1/2 of a tank of gas

Weekend trip = 1/4 of a tank of gas

Total gas used = Visit to friend + Commute to work + Weekend trip

= 6/8 + 1/2 + 1/4

= 6+4+2/8

= 12/8

= 3/2

Total gas used = 3/2 of a tank of gas

The number of ways to choose 5 people from a total of 15 people is given by 15C5. This can be calculated as follows:15C5 = (15!)/((15-5)! * 5!) = (15 * 14 * 13 * 12 * 11)/(5 * 4 * 3 * 2 * 1) = 3003Therefore, there are 3003 ways to select a committee of 5 people from the group of 15 people. The probability of selecting any given committee is 1/3003.

There are a total of 15 people in the group. A committee of size 5 is to be chosen from a group of 7 men and 8 women randomly. Therefore, the sample space for this situation is 15C5 ways to choose 5 people from a total of 15 people. 15C5 = 3003 ways. That means there are 3003 ways to select 5 people from the group of 15 people. The probability of selecting any given committee is 1/3003. That means the probability of selecting any one committee out of 3003 committees is 1/3003.To compute the probability of selecting any given committee, we first need to determine how many possible committees can be formed from the group of 15 people. The number of ways to choose 5 people from a total of 15 people is given by 15C5. This can be calculated as follows:15C5 = (15!)/((15-5)! * 5!) = (15 * 14 * 13 * 12 * 11)/(5 * 4 * 3 * 2 * 1) = 3003Therefore, there are 3003 ways to select a committee of 5 people from the group of 15 people. The probability of selecting any given committee is 1/3003.

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Answer: -1/4

Step-by-step explanation:

1-3= -2

-2/8 simplifies to -1/4  

Answer:

there will only be one 3

Step-by-step explanation:

see cause the first 3 of both numbers are 2 but only the last one of both numbers are 3 .

Use the scaling factor equation: greater length over smaller length to go from a smaller to a larger figure. Use the formula scale factor = smaller length over larger length if you're scaling down from a larger to a smaller figure.

What is scale factor in math?

How can I calculate the scale factor?

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The likelihood that a shooter will hit the target at least 13 times is 27.92%.

For such a binomial distribution, the probability density function equals the amount of successes ("x").

P(X = x) = ⁿCₓ . pˣ . qⁿ⁻ˣ

The required number of achievements is five (i.e., x = 13), as we are keen in the development that the objective will be hit exactly five times.

P(X = 13) =  ¹⁵C₁₃. (0.89)¹³ (0.11)²

P(X = 13) = 0.2792

P(X = 13) = 27.92%

Therefore, there is a 27.92% chance that a shooter will hit the target at most 13 times.

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Answer:

(6) 300+40+8+0.17 or (3*100)+(4*10)+(8*1)+(17*0.01

(7) C.

(8) $31.10

(9) -$10.64 or he lost $10.64

(10) B.

Step-by-step explanation:

hope this helps :3

if it did pls mark brainliest

Given the function f(x) as follows,\(\[f(x)=(x+6) e^{x / 3}\]\). To compute the average value of f(x) on the interval [6,21],

we make use of the formula for the average value of a function on a given interval. This formula is given by:

\(\[\frac{1}{b-a} \int_{a}^{b} f(x) d x\]\) where a and b represent the lower and upper limits of the interval respectively.

Therefore, the average value of f(x) on the interval [6,21] is given by:

\(\[\frac{1}{21-6} \int_{6}^{21} f(x) d x = \frac{1}{15} \int_{6}^{21} (x+6) e^{x / 3} d x\]\)

We can integrate this expression by using integration by parts. Let u = (x+6) and dv = ex/3dx.

du = dx and v = 3ex/3.

Substituting these values into the integration by parts formula, we have:

\(\[\int u d v=u v-\int v d u\]\)

Therefore,

\(\[\frac{1}{15} \int_{6}^{21} (x+6) e^{x / 3} d x = \frac{1}{15} \left[(x+6) 3 e^{x / 3} \bigg|_6^{21} - \int_{6}^{21} 3 e^{x / 3} d x \right]\]\[= \frac{1}{15} \left[27 e^{7} - 9 e^{2} - 9 e^{7} + 27 \right]\]\[= \frac{2}{5} (e^{7}-e^{2})\]\)

The average value of the function \(f(x)=(x+6)e^(x/3)\)on the interval [6,21] is \(\[\frac{2}{5} (e^{7}-e^{2})\]\). This is the value of the function that would produce the same area as the function over the interval [6,21].

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Answer:

1,060

Step-by-step explanation:

Each- Means multiplication.

You can add 212 - 5 times

212x5

Answer:

1060

Step-by-step explanation:

212 x 5 = 1060

212

x5

5x200=1000

5x10=50

5x2=10

1000+50+10=1060

The value of x is 17

The congruent arcs are (b) PQ and SR

The radius is 12 units

The value of PQ is 4

The length YZ is 19 units

In this question, we make use of the property of congruent sides

So, we have

3x - 24 = x + 10

When evaluated, we have

2x = 34

Divide by 2

x = 17

By the definition of congruent arcs, congruent arcs are arcs that have equal measures

In this figure, the congruent arcs are PQ and SR i.e. (b) PQ and SR

The radius of the circle is calculated as

r² = (25 + r)² - 35²

When expanded, we have

r² = 625 + 50r + r² - 1225

So, we have

50r = 600

Divide both sides by 50

r = 12

In this question, we make use of the property of congruent sides

So, we have

PQ = SR

Where

SR = 4

When evaluated, we have

PQ = 4

The length of YZ in the circle is calculated as

YZ² = (9 + 8)² + 8²

So, we have

YZ² = 17² + 8²

When expanded, we have

YZ² = 289 + 64

So, we have

YZ² = 353

Take the square root of both sides

YZ = 19

Hence, the length YZ is 19 units

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Answer:

-27.89%, the portfolio loses about 28% of its value every year on average.

Step-by-step explanation:

The annual growth-rate is -52.90%

The annual growth rate can be calculated using the formula:

i = (1 - (final value / initial value)^(1/n)) x 100%

Where "final value" is the current value of the portfolio, "initial value" is the original value of the portfolio, "n" is the number of years, and "i" is the annual growth rate.

In this case, the portfolio drops to one-tenth of its former value, which means the final value is 1/10 or 0.1 times the initial value. The time period is 6 years. So we have:

i = (1 - (0.1)^(1/6)) x 100%
i = (1 - 0.471) x 100%
i = 52.9%

Therefore, the annual growth rate is -52.9% (since the portfolio has decreased in value). Rounded to two decimal places, the answer is -52.90%.

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Answer:McDonald’s

Step-by-step explanation:because they pay very low and u should have -3 -5 -10

Answer:

the area of rectangle is 12x²+17x-5

In the textbook, this arrangement is referred to as "flextime" or "flexible working hours."

Flextime is a work arrangement that allows employees to have control over their work schedule within certain core hours. In this case, the core hours are between 10 a.m. and 3 p.m., during which all employees are required to be present at work. However, employees have the flexibility to choose their additional working hours either before or after the core hours.

Flextime offers employees the freedom to adjust their work schedule to accommodate personal obligations, preferences, or other commitments outside of work. It recognizes that individuals have different peak productivity hours and work-life balance needs. By allowing employees to choose their additional working hours, it promotes autonomy and can contribute to increased job satisfaction and work-life integration.

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Answer:

See below

Step-by-step explanation:

A. x is independent and y is dependent

B The range is 14, 10, 6, and 2

D The domain is discrete because it only includes whole avocados, and not fractional pieces.

A) Number y of avocados you have left is the dependent variable and x, number of batches of guacamole is the independent variable. B) Range is {2, 6, 10, 14}. C) Domain is discrete.

A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.

Here set A is the Domain and the set of images of A is the Range.

The given function is y = -4x + 14.

A) The variable y is depending on the value of the variable x.

So y, which represents the number of avocados left is the dependent variable and x, which represents the number of batches of guacamole made is the independent variable.

B) The domain is 0, 1, 2 and 3.

That is, the values of x are 0, 1, 2 and 3.

Values of y are :

x = 0, then y = 14

x = 1, then y = -4 + 14 = 10

x = 2, then y = -8 + 14 = 6

x = 3, then y = -12 + 14 = 2

Range is 2, 6, 10 and 14.

C) Domain of the function is discrete since it contains only certain values in the interval that is, 0, 1, 2, and 3.

Continuous domain has set of input values which consists of all the numbers in an interval.

Hence the independent variable is x and dependent variable is y. Range of the given function is the set {2, 6, 10, 14}. and the domain of the function is discrete.

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Step-by-step explanation:

speed= distance/time

37 mn=2220 sec

3 km=3000 m

ans=3000m/2220sec