In the figure, △XYZ ≅ △MNL.

Find m∠Z.

In The Figure, XYZ MNL.Find MZ.

Answers

Answer 1

Answer:

m∠Z= 23°

Step-by-step explanation:

if they're equal, as are their angles

124°+33°= 157°

180°-157°= 23°

Answer 2

m∠Z = 23°

The triangles are congruent. Therefore,

ΔXYZ ≅ ΔMNL

∠Y ≅ ∠N

Therefore,

∠Y = 124°

Sum of angles in a triangle = 180°

33 + 124 + m∠Z = 180°

157 +  m∠Z  = 180°

m∠Z = 180 - 157

m∠Z = 23°

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Related Questions

The circumference of a circle is 13π in. What is the area, in square inches? Express your answer in terms of \piπ.

Answers

The area of the circle with the given circumference is: 42.25π in.².

What is the Area and Circumference of a Circle?

Area = πr²

Circumference = 2πr.

Given the following:

Circumference of the circle = 13π in.

Find the radius (r):

2πr = 13π

Divide both sides by 2π

2πr/2π = 13π/2π

r = 13/2

r = 6.5

Area = πr² = π(6.5²) = 42.25π in.²

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graph

Y=-2x-3 and y=-x+6

Answers

Answer:

here ya go :)

the black line is y=-2x-3

the lavender line is y=-x+6

Maritza desea ir de viaje con su familia, que está conformada por ella, su esposo y sus 3 hijos. Ella comprará pasajes cuyo costo es de S/75 por persona (sólo ida), también desea comprar un paquete turístico para cuatro personas cuyo valor es de S/800, además contrató 3 habitaciones por el precio de S/60 cada una. También se proyectó gastar en alimentación 150 diarios y una bolsa de viaje de S/130 por persona. Si su viaje es de 5 días y 4 noches y actualmente ella cuenta con S/1000 y su esposo con S/1800, ¿Cuánto dinero les falta para cubrir todos los gastos de su viaje?

Answers

El dinero que le falta a Maritza y su esposo para viajar es 330.

¿Cuánto dinero les falta?

Para calcular el dinero que les falta debemos identificar la cifra total que les va a costar el viaje:

75 x 10 = 75080060 x 3 = 180 150 x 5 = 750130 x 5 = 650

750 + 800 + 180 + 750 + 650 = 3,130

El valor total del viaje es s/3,130, entonces les faltarían s/330.

3,130 - 2,800 = 330

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Given b(x)=|x+41|, what is b(-10)?

Answers

Answer:

31

Step-by-step explanation:

Substitute -10 for x in b(x)=|x+41|, obtaining f(-10) = |-10 + 41|.  This result simplifies to f(-10) = |31| = 31

Compute without a calculator:
$$(72\cdot 78\cdot 85\cdot 90\cdot 98)\div (68\cdot 84\cdot 91\cdot 108).$$
(There's an easier way than multiplying out the giant products $72\cdot 78\cdot 85\cdot 90\cdot 98$ and $68\cdot 84\cdot 91\cdot 108$!)

Answers

Take the prime factorization of each factor in the product.

[tex]\dfrac{72 \times 78 \times 85 \times 90 \times98}{68 \times 84 \times 91 \times 108} \\\\ ~~~~~~~~ = \dfrac{(2^3\times3^2)\times(2\times3\times13)\times(5\times17)\times(2\times3^2\times5)\times(2\times7^2)}{(2^2\times17)\times(2^2\times3\times7)\times(7\times13)\times(2^2\times3^3)} \\\\ ~~~~~~~~ = \dfrac{2^6 \times 3^5 \times 5^2 \times 7^2 \times 13 \times 17}{2^6 \times 3^4 \times 7^2 \times 13 \times 17} \\\\ ~~~~~~~~ = 3 \times 5^2 = \boxed{75}[/tex]

Paul's budget for food is 30% of the budget he has for rent.
If his budget for food is $225, what is his budget for rent?

Answers

Budget for rent is $750

to get an easier number to work with, divide 225 by 3 to get what 10% which is 75

then multiply 75 by 10 to get the full 100% (because 10x10=100) which is 750.

Paul's rent budget is $750, given that his food budget of $225, is 30 percent of his rent budget.

What are fractions?

Fractions are representation of quantities as a part of a certain quantity.

Written as a/b, read as a by b, and functions as a divided by b, represents a fraction showing a parts of b equal parts.

a is called the numerator, and b is called the denominator.

What are percentages?

Percentages are modified fractions where the whole quantity is represented by 100.

To convert a fraction into percentages we multiply it by 100, while to convert percentages to fraction divided by 100.

How to solve the question?

In the question, we are given that Paul's budget for food is 30% of the budget he has for rent.

We are asked if his budget for food is $225, what is his budget for rent.

We assume Paul's budget for rent to be $x.

We know that Paul's food's budget is 30 percent of his rent.

Hence, Paul's food budget = 30% of x.

or, Paul's budget for food = 30/100 * x {To convert percentages to fraction divided by 100}

But, we know that Paul's food budget is $225. Thus, we can show that:

225 = 30/100 * x,

or, x = (225*100)/30 = 750.

Thus, Paul's rent budget is $750, given that his food budget of $225, is 30 percent of his rent budget.

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Amanda makes $40,000 and gets an annual raise of $3,000. Marie makes $45,000 and gets an annual raise of $2,500. How many years will it take Amanda and Marie to make the same salary?

Answers

Answer:

Six years

Step-by-step explanation:

because it will divided the twoo digit and mutiple it self

A bank charges 12% simple interest p.a. on a cash loans for R10 000,must repay the loan over 4 years.

Calculate the interest which is gonna be paid to the loan?

Answers

Answer:

$4800

Step-by-step explanation:

Let's use the simple interest formula, P(1+rt), to find the final amount of the loan

10000(1+.12*4) = 14800, the final amount

14800 - 10000 = 4800 total in interest

f(x)=√x+11. Find the inverse of f(x).

Answers

Answer:

f(x)⁻¹ = (x - 11)²

Step-by-step explanation:

To find the inverse of the function, you need to (1) swap the places of the "x" and "y" variables and then (2) solve for "y". Remember, f(x) is another way of writing "y".

y = √x + 11                                        <----- Original equation

x = √y + 11                                        <----- Swap variables

x - 11 = √y                                         <----- Subtract 11 from both sides

(x - 11)² = (√y)²                                  <----- Square both sides

(x - 11)² = y                                        <----- Simplify

Another way of writing the output of an inverse function is with f(x)⁻¹.

Calculate a and b if
[tex] \sqrt{ \frac{ {7}^{2014} - {7}^{2012} }{12} } = a( {7}^{b} )[/tex]
and a is not a multiple of 7. ​

Answers

Notice that

[tex]7^{2014} - 7^{2012} = 7^{2012} \bigg(7^2 - 1\bigg) = 7^{2012} \times 48 = 2^4 \times 3 \times 7^{2012}[/tex]

[tex]12=2^2\times3[/tex], so

[tex]\dfrac{7^{2014}-7^{2012}}{12} = 2^2 \times 7^{2012}[/tex]

Then taking the positive square root gives

[tex]\sqrt{\dfrac{7^{2014}-7^{2012}}{12}} = \sqrt{2^2 \times 7^{2012}} = 2\times7^{1006}[/tex]

so [tex]\boxed{a=2}[/tex] and [tex]\boxed{b=1006}[/tex].

Rectangle MNPQ is rotated using the origin as the center of rotation, resulting in rectangle M’N’P’Q’, as shown below.

On a coordinate plane, rectangle M N P Q has points (negative 2, 6), (0, 4), (negative 3, 1), (negative 5, 3). Rectangle M prime N prime P prime Q prime has points (6, 2), (4, 0), (1, 3), (3, 5).

Which rotation may have occurred?
a 45° rotation clockwise
a 45° rotation counterclockwise
a 90° rotation clockwise
a 90° rotation counterclockwise

Answers

Answer:

45° rotation clockwise

Step-by-step explanation:

When you plot these on the graph, the non prime ones are on quadrant 2 and when you plot the prime ones, it is on quadrant 1. This means that it is 45° to the right(clockwise)

⬇️red is prime blue is regular ⬇️

What is the difference between 89.4 and 13.621 do not round your answer

Answers

Answer:

89.4 - 13.621 = 75.779

Explanation:

Subtract 13.621 from 89.4 to get 75.779.

need help with this ​

Answers

Answer:

[tex]x^4-20x^3 +175x^2 -750x+1250[/tex]

Step-by-step explanation:

By the conjugate root theorem, 5+5i is also a root.

[tex]f(x)=a(x-5)^2 (x-5-5i)(x-5+5i) \\ \\

= a(x^2 - 10x+25)((x-5)^2 - (5i)^2) \\ \\

= a(x^2 - 10x+25)(x^2 - 10x+25+25) \\ \\

= a(x^2-10x+25)(x^2-10x+50) \\ \\

= a(x^4- 10x^3 + 50x^2 - 10x^3 + 100x^2 - 500x + 25x^2 - 250x+1250) \\ \\

= a(x^4-20x^3 +175x^2 -750x+1250) \\ \\ [/tex]

g(r) = -20 +11r
8(11) = ?

Answers

Answer:

g(11) = 101

Step-by-step explanation:

g(r) = -20 + 11r

So in g(11), we just need to replace 'r' with '11'

g(11) = -20 + 11 (11)

--> g(11) = -20 + 121 = 101

--> g(11) = 101

Please comment down below if 8(11) wasn't a typo. I thought it was, so I replaced 8 with g. If that was intentional, I'll edit my answer as soon as possible.

What is the product?

Answers

The correct product of (6x - 2)(6 x + 2) is 36x^2 - 4

How to determine the product?

The expression is given as:

(6x - 2)(6 x + 2).

The above expression is a difference of two squares.

And this is represented as

(a - b)(a + b)= a^2 - b^2

So, we have

(6x - 2)(6 x + 2) = (6x)^2 - 2^2

Evaluate

(6x - 2)(6 x + 2) = 36x^2 - 4

Hence, the correct product of (6x - 2)(6 x + 2) is 36x^2 - 4

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Complete question

What is the product?

(6x - 2)(6 x + 2).

FInd the solution for the ordered pair
2x + y = 5 and x + y = 6

Answers

Answer:

(-1,7)

Step-by-step explanation:

Use elimination, x = -1, y = 7

Answer:

(-1, 7)

Step-by-step explanation:

Elimination Method:

Elimination: Step 1

Write in standard form (you can have negatives)

(standard form= Ax+By=C)

Elimination: Step 2

Create(find) opposites

Elimination: Step 3

Add to cancel one variable

Elimination: Step 4

Solve for variable

Elimination: Step 5

Substitute into other equation to find other variable

Substitution (Method)

In a linear system of equations, substitution results in one equation with one variable. The solution to a linear system is an ordered pair, not just a single value.

Problem:

Solve 2x+y=5;x+y=6

Steps:

I will solve your system by substitution.

(You can also solve this system by elimination.)

2x+y=5;x+y=6

Step: Solve 2x+y=5 for y:

2x+y+−2x=5+−2x(Add -2x to both sides)

y=−2x+5

Step: Substitute −2x+5 for yin x+y=6:

x+y=6

x+−2x+5=6

−x+5=6(Simplify both sides of the equation)

−x+5+−5=6+−5(Add -5 to both sides)

−x=1

-x/-1 = 1/-1 (Divide both sides by -1)

x=−1

Step: Substitute −1 for x in y=−2x+5:

y=−2x+5

y=(−2)(−1)+5

y=7(Simplify both sides of the equation)

Answer:

x=−1 and y=7

Mark and paula are storing masks. Paula has 70% of the total number of masks. If paula has 840 more masks thatn mark, how many masks should paula give to mark si they both have an equal number of masks

Answers

Answer:

1050 masks per person.

Step-by-step explanation:

1) Create an equation to find the total number of masks

2) Solve equation and divide total by 2 to get the number of masks that can be given to both Mark and Paula so that they have equal number.

1) Since Paula has 70% of the total masks, it can be represented as 0.7 * t where t is the variable representing the total number of masks. Mark on the other hand has the remaining number of masks out of 100% which is 30%. We can express that as 0.3. We multiply that by t because he has 30% of the masks. The final equation we have is 0.3t + 840 = 0.7t. 840 because Paula has 840 more masks than Mark.

2) Solve by subtracting 0.3t from both sides leaving you with 0.4t = 840. We divide both sides by 0.4 to get 2100. That is the total number of masks. If we divide that number by 2, we get 1050.

PLSSSSSSSSSSSSSSS HELP pls

Answers

[tex] {\qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

Let's solve ~

[tex]\qquad \sf  \dashrightarrow \: 10x + 30 = 90[/tex]

[ according to given figure ]

[tex]\qquad \sf  \dashrightarrow \: 10x = 90 - 30[/tex]

[tex]\qquad \sf  \dashrightarrow \: 10x = 60[/tex]

[tex]\qquad \sf  \dashrightarrow \: x = 60 \div 10[/tex]

[tex]\qquad \sf  \dashrightarrow \: x = 6 \degree[/tex]

Correct choice is D

100 POINTS

Find the volume of the composite solid.

A ) 1099.01 m^3

B) 104.67 m^3

C) 889.67 m^3

D) 785 m^3

Answers

Volume of a cylinder: PI x radius^2 x height

= 3.14 x 5^2 x 10 = 785 m^3

Volume of a cone: pi x radius^2 x height/3

= 3.14 x 5^2 x 4/3 = 104.67 m^3

Total volume  = 785 + 104.67 = 889.67 M63

Answer: C. 889.67 M^3

Answer:

[tex]\textsf{C)}\quad \sf 889.67\: m^3[/tex]

Step-by-step explanation:

The given composite solid is made up of a cylinder and a cone.

To find the volume of the composite solid, find the volume of the cylinder and the volume of the cone, then add them together.

Volume of a cylinder:

[tex]\sf V=\pi r^2 h[/tex]

(where r is the radius and h is the height)

Given:

r = 5 mh = 10 m

Substitute the given values into the formula and solve for V:

[tex]\begin{aligned}\implies \sf Volume\:of\:the\:cylinder & = \sf \pi (5)^2(10)\\ & = \sf 250 \pi \:\:m^3 \end{aligned}[/tex]

Volume of a cone:

[tex]\sf V=\dfrac{1}{3} \pi r^2 h[/tex]

(where r is the radius and h is the height)

Given:

r = 5 mh = 4 m

Substitute the given values into the formula and solve for V:

[tex]\begin{aligned}\implies \sf Volume\:of\:the\:cone & = \sf \dfrac{1}{3} \pi (5)^2(4)\\ & = \sf \dfrac{100}{3}\pi \:\:m^3 \end{aligned}[/tex]

Therefore, the volume of the composite solid is:

[tex]\begin{aligned}\implies \sf Volume\:of\:composite\:solid & = \sf Cylinder\:volume+Cone\:volume\\ & = \sf 250\pi + \dfrac{100}{3}\pi \\ & = \sf \dfrac{850}{3} \pi \\ & = \sf \dfrac{850}{3} \times 3.14 \\ & = \sf 889.67\:m^3\:(2\:d.p.)\end{aligned}[/tex]

What is the answer to this system of equations? 2x - 3y= 21 and -6x + 2y = 7.

Answers

answer:

x = - 9/2

y = -10

Step-by-step explanation:

make both equations look like y =

2x-3y=21 -> -3y= -2x+21 -> y = (-2x+21)/-3 -> y = 2/3x - 7

-6x + 2y = 7 -> 2y = 6x + 7 -> y = 3x + 7/2

now make the equations equal to each other (since they both equal y)

get x

2/3x - 7 = 3x + 7/2

-7 -7/2 = 3x - 2/3x

-14/2 -7/2 = 9/3x - 2/3x

-21/2 = 7/3x

(3/7) -21/2 = x

x = (3/7) -21/2

x = - 63/14

x = - 9/2

put it back in an equation to get y

y = 3x + 7/2

y = 3(-9/2) + 7/2

y = -27/2 + 7/2

y = -20/2

y = - 10

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I have no clue what this question is asking nor how to answer it

Which of the following numbers are solutions of the sentence x-3< 2?

| -3
|| 0
||| 2
IV 5


II only

III only

I and III only

I, II, and III only

Or

I, II, III, and IV

Answers

Answer:

IV 5

Step-by-step explanation:

you have to solve for x:

x-3<2

x-3+3<2+3

x=5

could you put the brainlyest Icon for me? I have 1500 points, but no brainlyest, so I can't move up the ranks.

Find the value of variable X.

16

41

10

17.5

Answers

Using secant rule, the value of variable x in the diagram is 10.

What is a secant?

A secant is a line that intersect a circle in two points.

Therefore, the following rule guides a secant.

(x + 32)32 = (20 + 28)28

Hence,

32x + 1024 = (48)28

32x + 1024 = 1344

32x = 1344 - 1024

32x = 320

divide both sides by 32

32x / 32 = 320 / 32

x = 10

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find each lettered angle

Answers

Answer:

a = 103°

b = 103°

c = 97°

d = 83°

e = 154°

Aaron wants to make All-Tournament Team for his high school
basketball team. He needs to average at least 24 points a game
to get selected for All-Tournament Team. They are playing 4
games, in the first 3 games he scored 30, 17, and 25 points.

Answers

Answer:24

Step-by-step explanation:

Answer:

Step-by-step explanation:

Which equation is represented by the graph below?

A y=In x-3
B y=In x-4
C y=e^3 -3
D y=e^3 -4

Answers

Answer:

D

Step-by-step explanation:

I assume that for C and D, you meant e^x.

Since the function is defined at 0, eliminate A and B (since ln 0 is undefined)

Between C and D, we know that when x=0, e^x = 1. Since the y intercept of the graph is -3, this means the equation is y = e^x - 4.

A focus group study has always been the primary way for ABC Toys Company to gather customers' opinions for marketing strategy. In the past, when a new product was popular in the market, a focus group study had incorrectly indicated that it would be unpopular with a probability of 0.275. When a new product was unpopular, a focus group had incorrectly indicated that it would be popular with a probability of 0.175. Assume that the probability of a new product being popular in the market is 0.60. What is the probability that a new product will be unpopular if a focus group study indicates that it will be unpopular?

Answers

Using conditional probability, there is a 0.6667 = 66.67% probability that a new product will be unpopular if a focus group study indicates that it will be unpopular.

What is Conditional Probability?

Conditional probability is the probability of one event happening, considering a previous event. The formula is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which:

P(B|A) is the probability of event B happening, given that A happened.[tex]P(A \cap B)[/tex] is the probability of both A and B happening.P(A) is the probability of A happening.

For this problem, the events are given as follows:

Event A: Study indicates that the product is unpopular.Event B: Product is unpopular.

The parameters are given as follows:

P(A) = 0.6 x 0.275 + 0.4 x 0.825 = 0.495.[tex]P(A \cap B) = 0.4 \times 0.825 = 0.33[/tex]

Hence the conditional probability is:

[tex]P(B|A) = \frac{0.33}{0.495} = 0.6667[/tex]

0.6667 = 66.67% probability that a new product will be unpopular if a focus group study indicates that it will be unpopular.

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.
A new refrigerator that normally sells for $897.00 is on sale for 15% off. If the sales tax is 7.5%, then how much will you pay in total for the refrigerator while it’s on sale?



Answers

Answer: About 830 dollars

Step-by-step explanation: find 15% off on 897 then find 7.5 percent of 897, then add them together.

Suppose we want to choose 5 letters, without replacement, from 15 distinct letters.

Answers

[tex]order \: does \: not \:matter \\ sample \: space = 15 \: letters \\ no \: repetition\\ P(A) = 15C5 = 3003 \: ways[/tex]

Find the area of the region that lies inside both curves.
r² = 2 sin(2θ), r=1

Answers

The area of the region that lies inside both curves r² = 2sin(2θ),  r = 1 is -0.1287 square units.

How to find the area of the region that lies inside both curves?

Since the curves are

r² = 2sin(2θ) and r = 1.

We find their point of intersection.

So, r² = r²

2sin(2θ) = 1²

2sin(2θ) = 1

sin(2θ) = 1/2

2θ = sin⁻¹(1/2)

2θ = π/6

θ = π/12

So, we integrate the area from θ = 0 to θ = π/12

Now the area A of the region between two curves between θ = α to θ = β is

[tex]A = \int\limits^{\beta }_\alpha ({r^{2} - r^{'2} }) \, d\theta[/tex]

So, the area betwwen the curves r² = 2sin(2θ),  r = 1 between θ = 0 to θ = π/12 is

[tex]A = \int\limits^{\frac{\pi}{12} }_0 ({r^{2} - r^{'2} }) \, d\theta \\= \int\limits^{\frac{\pi}{12} }_0 ({2sin2\theta - 1^{2} }) \, d\theta\\= \int\limits^{\frac{\pi}{12} }_0 ({2sin2\theta - 1}) \, d\theta\\= \int\limits^{\frac{\pi}{12} }_0 {2sin2\theta}\, d\theta - \int\limits^{\frac{\pi}{12} }_0 {1} \, d\theta\\= [2(-cos2\theta)/2 - \theta]_{0}^{\frac{\pi}{12} } \\= [-cos2\theta - \theta]_{0}^{\frac{\pi}{12} } \\= -cos2\frac{\pi}{12} - \frac{\pi}{12} - ( -cos2(0) - 0)\\[/tex]

[tex]= -cos2(\frac{\pi}{12}) - \frac{\pi}{12} - ( -cos2(0) - 0)\\= -cos\frac{\pi}{6}- \frac{\pi}{12} - ( -cos0 - 0)\\= -cos\frac{\pi}{6}- \frac{\pi}{12} - ( -1)\\= -(\frac{\sqrt{3} }{2} ) - \frac{\pi}{12} + 1\\= -0.8660 - 0.2618 + 1\\= -1.1278 + 1\\= -0.1278[/tex]

So, the area of the region that lies inside both curves r² = 2sin(2θ),  r = 1 is -0.1287 square units.

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a using the strategy to determine the area of the large rectangle
b explain how this strategy relates to the binomial multiplication
c focused on multiplying two binomials, explain a strategy that can be used to multiply any two polynomials

Answers

The area of the large rectangle by using the strategy is; 168cm².

What is the area of tge large rectangle?

The area of the rectangle can be determined by multiplying the length and width of the rectangle as follows;

Area = Length × width

Area = (10cm + 4cm) × (10cm × 2cm)

Area = (100+20+40+8)cm²

Area = 168 cm².

The strategy used above entails that the two binomials used to represent the length and width of the rectangle are multiplied according to binomial multiplication.

The strategy is that each term of the first binomials is used to multiply the terms in the second polynomial and the aggregate result of the multiplications is determined.

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a beta coefficient reflects the response of a security's return to: group of answer choices the risk-free rate an unsystematic risk a systematic risk idiosyncratic risk the market rate of return A set of plastic spheres are to be made with diameter of 16 cm_ If the manufacturing process is accurate to mm, what is the propagated error in volume of the spheres? Error cm3 5. Describe the causes and the outcome of the Spanish-American War. Your response should includeat least two causes of the war and at least two consequences of the United States' victory and theTreaty of Paris. (4 points) Consider memory storage of a 32-bit word stored at memory word 42 in a byte-addressable memory.1.A.) What is the byte address of memory word 42?1.B.) What are the byte addresses that memory word 42 spans?1.C.) Draw the number 0xFF223344 stored at word 42 in big-endian computer.1.D.) Draw the number 0xFF223344 stored at word 42 in little-endian computer. The central challenge that Roberta Espinoza describes among Latina doctoral students is the tension between .A. completing all of their academic work and getting enough sleepB. choosing a major out of love of learning and choosing a major that will be lucrativeC. wishing to be a graduate student and wishing to become a motherD. being a good daughter while also being a good student you have 2.65 l of water that contains 25 mg/l of po43. what is the total amount of phosphate in the sample? FILL IN THE BLANK. ___ is the characteristic of most investors that makes them prefer, all else the same, investments of lower risk to investments of higher risk. Risk neutrality Risk aversion Risk taking Risk seeking An ideal gas with an initial volume of 2. 05 L is cooled to 11 C where its final volume is 1. 70 L. What was the temperature initially (in degrees Celsius)? 1. A. I know I will be a successful warrior for I will never back down. B. I know I will be a successful warrior, for I will never back down. 2. F. This is a brand new suit, so you should wear it for a job interview or something. G. This is a brand new suit so you should wear it for a job interview or something. 3. A. He just goes to the mall and walks around. B. He just goes to the mall, and walks around. 4. F. I know it's childish, yet I can't fully let go of my rocking horse. G. I know it's childish yet I can't fully let go of my rocking horse. 5. A. Doyou want to hang on to your old baseball cards or just throw them all away?B. Do you want to hang on to your old baseball cards, or just throw them allaway? Given two strings, sand t, create a function that operates per the following rules: 1. Find whether string sis divisible by string t. String s divisible by string tif string t can be concatenated some number of times to obtain the string s. o If sis divisible, find the smallest string, u, such that it can be concatenated some number of times to obtain both sand t. o If it is not divisible, set the return value to -1. 2. R urn the length of the string u or -1. Example 1 s = 'bcdbcdbcdbcd' t = 'bcdbcd' If string tis concatenated twice, the result is 'bcdbcdbcdbcd' which is equal to the string s. The string s is divisible by string t. Since it passes the first test, look for the smallest string, u, that can be concatenated to create both strings s and t. The string 'bcd' is the smallest string that can be concatenated to create both strings s and t. The length of the string u is 3, which is the integer value to return. Use intercepts to help sketch the plane. 2x+5y+z=10 [5 pts] suppose that you toss a fair coin repeatedly. show that, with probability one, you will toss a head eventually. hint: introduce the events an = {"no head in the first n tosses"}, n = 1,2,.... Which of the following statements describes the viewpoint of the Anti-Federalists? (1 point)The Constitution should not be ratified until a Bill of Rights is added to protect the rights of individuals. The Constitution gives the most power to the state governments and does not need further protection of rights. The Constitution gives the most power to the national government and should be ratified quickly by all the states. The Constitution should be ratified immediately in order to provide security and protection for the people. Darren bought a toy. He sold the toy to peter for 5/4 the price he paid for it. Peter then sold the toy to Allen for 2/5 less than what he paid for it. Allen paid 12. 45 for the tou. How much did darren pay for the toy We have 3kg of water at 10 degrees Celsius and we put a 1kg ball of aluminium at 30 degrees Celsius inside the water. Find what the final temperature will be if the specific heat capacity of water is 4200J/Kg C and the specific heat capacity of aluminium is 900J/Kg C.Please help me out, thanks! TRUE OR FALSE research studies support the value of vertical alignment for organizational success. You may freely use techniques from one-variable calculus, such as L'Hpital's rule. Consider f(x, y). f(x, y) = (xy^3) / (x^2 + y^6) if (x, y) (0, 0) 0 if (x, y) = (0, 0)(a) Compute the limit as (x, y) (0, 0) of f along the path x = 0. (If an answer does not exist, enter DNE.)(b) Compute the limit as (x, y) (0, 0) of f along the path x = y3. (If an answer does not exist, enter DNE.)(c) Show that f is not continuous at (0, 0). Since the limits as (x, y) (0, 0) of f along the paths x = 0 and x = y3 ,are equal? or are not equal? or DNE?f is not continuous at (0, 0). consider the reaction between an alcohol and tosyl chloride, followed by a nucleophile. write the condensed formula of the expected main organic product. ch3oh 2. ch3o1. tscl,pyridine Mr. J. is a 52-year-old cabinetmaker. He is moderately overweight. Mr. J. has recently experienced blurring of vision and learned that he has type 2 diabetes. Mr. J. is concerned about how his health condition may affect his ability to continue in his current line of employment. Which issues in Mr. J.s current line of employment may be important to consider? Your math teacher is planning a test for you. The test will have 30 questions. Some of the questions will be worth 3 points, and the others will be worth 4 points. There will be a total of 100 points on the test. How many 3-point questions and how many 4-point questions will be on the test? a. Identify the problem: ______b. Let the number of 3-point questions = x and the number of 4-point questions = y. Write the two equations for the system. I c. Use subsititution to solve for y in the first equation. d. Substitute the value for y into the second equation to solve for x. e. There will be 3-point questions and 4-point questions. f. Check your solution by substituting the values into both equations.