The volume of this rectangle prism=____ft3.

The probability of drawing two pink ones if the first marble was not put back before the 2nd drawing is 2/9.

What is the probability?

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

We are given that there are 10 marbles in the bag 2 yellow 3 pink and 5 blue.

First, we need to find the probability of drawing a blue marble on the first draw.

Since there are 5 blue marbles and 10 total, then the probability is;

5⁄10, or 1/2.

Now, we no longer have that blue marble, there are 4 blue marbles and 9 total.

The chances of drawing a blue marble are; 4/9.

Therefore, the chance that both marbles drawn are blue is the chance that the first one is blue times the chance that the second one is blue.

1/2 x  4/9 = 4/18 = 2/9

Hence, the probability of drawing two pink ones if the first marble was not put back before the 2nd drawing is 2/9.

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Answer:

1.21 meters of rope left.

Step-by-step explanation:

Laura has 7-5.79=1.21 meters of rope left.

( give some good feedbacks and rate to continue answering your questions)

After your grandmother makes a $5,000 deposit on your 18th birthday, the amount in the savings account can be calculated using compound interest. Assuming the account pays an interest rate of 7%, the amount in the account immediately after the deposit can be determined by applying the compound interest formula.

To calculate the amount in the savings account after the deposit on your 18th birthday, we can use the compound interest formula: A = P(1 + r/n)^(nt), where A represents the final amount, P is the principal (initial deposit), r is the interest rate, n is the number of times interest is compounded per year, and t is the number of years.

In this case, the initial deposit is $5,000, the interest rate is 7% (or 0.07 as a decimal), and the deposit is made on your 18th birthday, which means the time is 17 years. Since no information is given about the compounding frequency, let's assume it is compounded annually (n = 1).

Plugging in the values into the compound interest formula, we have A = 5000(1 + 0.07/1)^(1*17) = 5000(1.07)^17 ≈ $15,128.

Therefore, the amount in the savings account immediately after your grandmother makes the deposit on your 18th birthday is approximately $15,128, rounded to the nearest dollar.

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Answer:

Step-by-step explanation:

If you draw a line from the origin (0,0) to L ( the original point ) and a different line from the origin to the image L' you can see the angle of rotation as being

90 degrees and that the rotation is clockwise.  

the rule is (x, y) become ( y, -x)

Answer:

2.3333333333333333333333333333333 sec

Answer:

square root of 27 = 5.19615242271  square root of 75 = 25403784  square roots simplified =  75: 8.660        27: I don't know sorry

Step-by-step explanation:

i don't know

how to s explain but those are the answer s

Answer:

Solution given;

mean=180

standard deviation=30

now

percentage =standard deviation/mean ×100%

=30/180×100%

=16%

soBAbout 16% of the books have fewer than 150 pages.

Find percentage

Option D

The number in which the value of 3 is 3-1/100 is 345. The correct option is a.

The given number is 43,781.

The value of the 3 in 43,781 is 3,000.

The value of 3-1/100 is 2.99.

We are supposed to find out in which number 2.99 is the value of the 3 in 43,781.

Given options are:

a. 345

b. 237,895

c. 5,732

We'll calculate the values of 3-1/100 in each option.

a. The value of 3-1/100 in 345 is 2.99.

So, the correct option is a.

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Answer:

x = -4

Step-by-step explanation:

y = 3x - 1

Replace all instances of Y into the second quation.

2x - (3x-1) = 5

2x -3x +1 = 5

-x = 4

x= -4

Answer:

60

Step-by-step explanation:

Statement I is correct, while statements II and III are false. The longer-term bond (Bond L) fluctuates more due to its higher interest rate risk compared to the shorter-term bond (Bond S).

To calculate the value of Bond L and Bond S, we need more information, specifically the interest rate or yield associated with these bonds.

a. Bond prices are influenced by various factors, including the bond's face value, coupon payments, time to maturity, and prevailing interest rates. Without the interest rate or yield, we cannot determine the exact values of Bond L and Bond S.

The bond price can be calculated using the present value formula, which discounts the future cash flows of the bond to their present value.

b. The longer-term bond (Bond L) tends to fluctuate more when interest rates change compared to the shorter-term bond (Bond S) due to interest rate risk. Interest rate risk refers to the impact of changes in interest rates on the value of a bond.

I. Longer-term bonds have more interest rate risk than shorter-term bonds. This statement is true. Longer-term bonds are exposed to changes in interest rates for a more extended period, which makes their prices more sensitive to interest rate movements. When interest rates rise, the value of longer-term bonds tends to decrease more than shorter-term bonds.

II. Longer-term bonds have less reinvestment rate risk than shorter-term bonds. This statement is false. Reinvestment rate risk refers to the risk of reinvesting coupon payments at lower interest rates when the bond matures. Longer-term bonds have a higher reinvestment rate risk because they have more coupon payments to reinvest over the bond's longer lifespan.

III. Longer-term bonds have less interest rate risk than shorter-term bonds. This statement is false. As mentioned earlier, longer-term bonds have more interest rate risk because their prices are more sensitive to changes in interest rates compared to shorter-term bonds.

In summary, statement I is correct, while statements II and III are false. The longer-term bond (Bond L) fluctuates more due to its higher interest rate risk compared to the shorter-term bond (Bond S).

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The measure of angle BAC is 20 degrees

The angle on a straight line is 180 degrees.

There are 9 equal sections on the straight line.

This means that the measure of each section is:

Each section = 180/9

Evaluate

Each section = 20

So, we have:

BAC = 20 degrees

Hence, the measure of angle BAC is 20 degrees

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The path consists of 4 line segments. Each line segment is the hypotenuse of a different right triangle.

length of line segment AB = \(\sqrt{2^{2}+5^{2} } =\sqrt{29} =5.39cm\)

length of line segment BC = \(\sqrt{3^{2}+4^{2} } =\sqrt{25} =5cm\)

length of line segment CD = \(\sqrt{3^{2}+5^{2} } =\sqrt{34} =5.83cm\)

length of line segment DE \(=\sqrt{2.5^{2}+3^{2} } } =\sqrt{15.25} =3.91cm\)

The total length of the spider's path is about 20.13 cm.

Answer:

angles are corrosponding

Step-by-step explanation:

____________________________

Hey!!

The answer is < TUR and < VUW

vertical angles are always equal to each other

hope it helps

____________________________

A) the three inequalities that must be satisfied are:

B) Graph shaded and satisfying all conditions is attached.

An inequality in mathematics is a relationship that makes a non-equal comparison between two integers or other mathematical expressions.

It is most commonly used to compare the sizes of two numbers on a number line.

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The dean of students at a large college is interested in learning about their opinions regarding the percentage of students who are satisfied with their academic experience. This is an important question for the dean to consider, as it can help them identify areas for improvement and ensure that they are meeting the needs of their students.

To gather this information, the dean may choose to conduct a survey or hold focus groups with students to hear their feedback. They may also review data on student retention rates and academic performance to get a sense of how satisfied students are with their experience at the college.

Once the dean has gathered this information, they can use it to make informed decisions about how to improve the academic experience for their students. This may involve investing in new programs or resources to better support students, or making changes to existing programs based on feedback from students.

Ultimately, by taking the time to gather and listen to student opinions about their academic experience, the dean can create a more student-centered learning environment that meets the needs and expectations of their diverse student population.

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The sentence "After Tiara's lawn had been mowed, she cooled off in the swimming pool." contains a remote reference because the pronoun "she" is ambiguous and could refer to either Tiara or someone else. The sentence "After her lawn had been mowed, Tiara cooled off in the swimming pool." would avoid the remote reference by explicitly stating who cooled off in the pool.

hi I am sorry I wish I could help

Answer:

x ≈ 6.2

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

x² + 17.1² = 18.2²

x² + 292.41 = 331.24 ( subtract 292.41 from both sides )

x² = 38.83 ( take the square root of both sides )

x = \(\sqrt{38.83}\) ≈ 6.2 ( to the nearest tenth )

Answer: The answer is “Congruent to AC” !! When you are making an arc on both rays, they should measure/be exactly the same, and even more exact is you are using a compass

Step-by-step explanation:

Answer: 0.11

Step-by-step explanation:

Suppose y represents the cost, x represents the number of pictures, then y=kx {positive proportional function}

when x=50, y=5.5

5.5=50k

k=5.5/50

k=55/500

k=0.11

The given radical root 84, the simplification is option B; \(2\sqrt{21}\).

Usually, simplification involves proceeding with the pending operations in the expression.

Simplification usually involves making the expression simple and easy to use later.

The given radical;

\(\sqrt{84} \\\\\sqrt{42 \times 2} \\\\\sqrt{7\times3\times 2 \times 2} \\\\2\sqrt{21} \\\)

Thus, the correct option is B; \(2\sqrt{21}\).

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A general solution

\(y(x) = c1e^{3x} + c2e^{-x} + c3*e^{-4x}\)

To verify that the given functions form a fundamental solution set for the differential equation y''' + 2y" - 11y' - 12y = 0, we can use the Wronskian. The Wronskian is defined as:

W(x) = | y1(x) y2(x) y3(x) |

| y1'(x) y2'(x) y3'(x) |

| y1''(x) y2''(x) y3''(x) |

where y1(x), y2(x), and y3(x) are the given functions.

Using the given functions, we can compute the Wronskian as follows:

W(x) = |\(e^{3x} e^{-x} e^{-4x} || 3e^{3x} -e^{-x} -4e^{-4x} || 9e^{3x} e^{-x} 16e^{-4x}\)|

Expanding the determinant, we get:

\(W(x) = e^{3x}(-e^{-x}*16e^{-4x} + e^{-4x}e^{-x}) - (-e^{-x}(-4e^{-4x}) - (-e^{3x})*16e^{-4x})e^{3x} + (3e^{3x}(-e^{-x}*e^{-4x}) - e^{-x}*9e^{3x}*16e^{-4x})\)

Simplifying, we get:

W(x) = -23e^(-3x)

Since the Wronskian is nonzero everywhere, the functions {e^(3x), e^(-x), e^(-4x)} form a fundamental solution set for the differential equation.

To find the general solution of the differential equation, we can use the formula:

y(x) = c1y1(x) + c2y2(x) + c3*y3(x)

where c1, c2, and c3 are constants. Substituting the given functions, we get:

\(y(x) = c1e^{3x} + c2e^{-x} + c3*e^{-4x}\)

This is the general solution of the given differential equation.

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Step-by-step explanation:

here is the answer babe. Feel free to ask for more help

Answer:

L bozo just know the asnwer EZ

Step-by-step explanation:

COPE

Answer: 0000

Step-by-step explanation:

Answer:

54

Step-by-step explanation:

Answer:

6\(x^{5}\) + 5x² - 2x + 3

Step-by-step explanation:

Given

(\(x^{5}\) + 2x² - 4) - (-5\(x^{5}\) - 3x² + 2x - 7)

Remove the parenthesis on the first factor and distribute the second by - 1

= \(x^{5}\) + 2x² - 4 + 5\(x^{5}\) + 3x² - 2x + 7 ← collect like terms

= 6\(x^{5}\) + 5x² - 2x + 3 ← in standard form

Catelyn will have approximately $1,647.62 in her account after 3 years of making deposits every 6 months.

To calculate how much Catelyn will have after 3 years, we need to determine the total number of compounding periods and then apply the compound interest formula.

Given:
Principal deposit (P) = $1537
Interest rate (r) = 2.07% per year (expressed as a decimal, r = 0.0207)
Compounding period (n) = 4 times per year (quarterly)
Time (t) = 3 years

First, we calculate the total number of compounding periods:
Number of compounding periods (N) = n * t = 4 * 3 = 12

Next, we can use the compound interest formula to calculate the future value (A):
A = P * (1 + r/n)^(n*t)

Plugging in the values:
A = $1537 * (1 + 0.0207/4)^(4*3)
A = $1537 * (1 + 0.005175)^12
A = $1537 * (1.005175)^12
A ≈ $1,647.62

Therefore, Catelyn will have approximately $1,647.62 in her account after 3 years of making deposits every 6 months.

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La ecuación de la recta es y = 1.2x + 0, o simplemente y = 1.2x. Y el precio en euros de 10 dólares es de 12 €.

La ecuación de la recta que nos da el precio en euros, y, de x dólares se puede hallar utilizando la fórmula de la pendiente de una recta, que es m = (y2 - y1) / (x2 - x1). En este caso, los puntos dados son (3, 3.6) y (7, 8.4).

Primero, calculamos la pendiente de la recta:
m = (8.4 - 3.6) / (7 - 3)

m = 4.8 / 4

m = 1.2

Luego, utilizamos la fórmula de la ecuación de la recta, y = mx + b, para encontrar el valor de b. Podemos utilizar cualquiera de los puntos dados para esto. Usaremos el punto (3, 3.6).

3.6 = 1.2(3) + b
3.6 = 3.6 + b
b = 0

Por lo tanto, la ecuación de la recta es y = 1.2x + 0, o simplemente y = 1.2x.

Esta ecuación nos da el precio en euros, y, de x dólares. Si queremos encontrar el precio en euros de una cierta cantidad de dólares, simplemente sustituimos el valor de x en la ecuación y resolvemos para y. Por ejemplo, si queremos encontrar el precio en euros de 10 dólares, sustituimos x = 10 en la ecuación:

y = 1.2(10) = 12

Por lo tanto, el precio en euros de 10 dólares es de 12 €.

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