a metallurgist has an alloy with 10% titanium and an alloy with 20% titanium. he needs 100 grams of an alloy with 17% titanium. how much of each alloy should be mixed to attain the 100 grams of alloy with 17% titanium?

A steel cylinder with a moveable piston on top is filled with helium (He) gas. The force that the piston exerts on the gas is constant, but the volume inside the cylinder doubles, pushing the piston up.

Which of the following answers correctly states the cause for the change described in the scenario?

Final answer:

To determine the probability of passing a 10-question true-false quiz with at least a 70% score when guessing, we calculate the probabilities of getting 7, 8, 9, and 10 answers correct and sum them, using the binomial probability formula.

Explanation:

A student takes a 10-question true-or-false quiz and guesses randomly without studying. To find the probability of getting exactly 4 correct answers out of 10 questions, we can use a binomial probability formula which is P(X=k) = (n choose k) * p^k * (1-p)^(n-k), where 'P(X=k)' is the probability of 'k' successes in 'n' trials, 'p' is the probability of success on a single trial, and '(1-p)' is the probability of failure on a single trial.

In this case, guessing true or false correctly is a 50% chance or 'p' equals 0.5, since there are only two possible outcomes, and 'n' is 10. To calculate the probability of passing the quiz with at least a 70 percent score, we need at least 7 correct answers out of 10. We will calculate the probabilities of getting exactly 7, 8, 9, and 10 correct answers and then sum these probabilities.

The calculation for P(X=7) would be (10 choose 7) * 0.5^7 * 0.5^(10-7). Similarly, we would calculate P(X=8), P(X=9), and P(X=10) using the same formula with different values for 'k'. Once we have these probabilities, we can add them up to find the total probability of scoring at least 70 percent on the quiz.

Remember to round answers to relative frequency and probability problems to four decimal places for accurate results.

Fraction number is used to represent the part of a whole. For cook the 2/3 of the recipe Mr. Williams need 4/3 cups of melted butter, 16 oz marshmallow, and 26/3 cups of rice crispy treats.

To cook full recipe Mr. Williams needs the 2 cups of melted butter, 24 oz marshmallow, and  13 cups rice crispy treats.

In the given question Mr. Williams wants to cook 2/3 of the recipe. For this he need to add all the ingredients in the 2/3 value as compare to the original recipe units.

Fraction number is used to represent the part of a whole.

         [tex]\rm Butter = \dfrac{2}{3} \times 2[/tex]

         [tex]\rm Butter = \dfrac{4}{3}[/tex]

Hence, the for the above question we need 4/3 cups of melted butter.

       [tex]\rm oz \ marshmallow= \dfrac{2}{3} \times 24[/tex]

       [tex]\rm oz \ marshmallow= 16[/tex]

Hence, the for the above question we need 16 units of oz marshmallow.

        [tex]\rm Rice \ crispy \ treats=\dfrac{2}{3} \times 13[/tex]  

        [tex]\rm {Rice \; crispy \; treats}=\dfrac{26}{3}[/tex]  

Hence, for cook the 2/3 of the recipe Mr. Williams need 4/3 cups of melted butter, 16 oz marshmallow, and 26/3 cups of rice crispy treats.

Form more about the measurement follow the link-https://brainly.com/question/5014667

Answer:

The correct option is A.

Step-by-step explanation:

The vertex form of an absolute function is

[tex]g(x)=a|x-h|+k[/tex]

Where, (h,k) is vertex.

Domain is the set of input values.

The given function is

[tex]f(x)=3|x+4|+1[/tex]

It is the vertex from of an absolute function. Here h=-4 and k=1, so the vertex of the function is (-4,1).

These functions are defined for all real values of x. So, the domain of the given absolute function is all real numbers

Therefore the correct option is A.

He was right the correct answer is six dogs

Final answer:

To solve the inequality 10 < -2/3(9+12b), distribute -2/3 inside the parentheses, simplify, and divide by -8, which reverses the inequality. The solution is b < -2.

Explanation:

To solve the inequality 10 < -2/3(9+12b), we must first distribute the -2/3 across the parentheses:

Multiply -2/3 by 9 to get -6.

Multiply -2/3 by 12b to get -8b.

The inequality now looks like this: 10 < -6 - 8b. Next, we simplify by moving the constant term -6 to the left side:

Add 6 to both sides: 10 + 6 < -8b.

Combine like terms: 16 < -8b.

Finally, we divide both sides by -8, remembering that this reverses the inequality symbol:

Divide by -8: -2 > b or b < -2.

Therefore, the solution to the inequality is b < -2.

Answer:

–24.22

Step-by-step explanation:

Answer:

-24.22

Step-by-step explanation:

(aka B on edge)

You have 24 square pieces of wood. You could lay them out in the following fashion. First number is the number of rows. Second number is the number of columns. For example:

1,24 is 1 row by 24 columns. Here goes:

1,24

2,12

3,8

4,6

6,4

8,3

12,2

24,1

i believe that's all.

It winds up being the number of ways you can multiply two integers to get 24. 

Answer:

Per is the answer (Apex)

Step-by-step explanation:

Answer:

for connections

1.a

2.c

3.d

4.c

Step-by-step explanation:

Final answer:

The volume of 10,000 drops of liquid, given that 100 drops equal 0.1 fluid ounce, is calculated to be 10 fluid ounces.

Explanation:

The question is asking to calculate the volume of 10,000 drops of a liquid, given that the volume of 100 drops is 0.1 fluid ounce. First, we determine the volume of a single drop. Then, we multiply that volume by 10,000 to find the total volume.

To start, we have the following relationship:

100 drops = 0.1 fluid ounce.

Next, we calculate the volume of one drop:
1 drop = 0.1 fluid ounce / 100 drops.

Then, we multiply the volume of one drop by 10,000 to find the volume of 10,000 drops:
10,000 drops * (0.1 fluid ounce / 100 drops) = 10 fluid ounces.

Therefore, the volume of 10,000 drops of the liquid is 10 fluid ounces.

The correct answer is 16 hours

 product is multiplication:

 2 * 2 = 4

PART A)

The rate of change is -40 songs each week, because the amount of songs left to be downloaded decrease by 40 every week.

the initial value is 200 at 0 weeks, which means that there are 200 songs to be downloaded at the beginning

PART B)

Answer:

Each week the amount of songs that need to download decreases by 40. So The rate of change is -40 songs each week. The initial value is 200 because that is the number of songs left to download.  

Part B:

y = -40x + 200

Answer:  The required sum of the terms is 36.

Step-by-step explanation:  We are given that the following series has six terms :

1  +  3  +  5  +  . . .  +  11.

We are to find the sum of the terms of the series.

We see the following pattern in the consecutive terms of the series :

[tex]3-1=5-3= ~~.~~.~~.~~=2.[/tex]

So, the given series is an ARITHMETIC series with fist term 1 and common difference 2.

We know that

the sum of first n terms of an arithmetic series with first term a and common difference d is given by

[tex]S_n=\dfrac{n}{2}(2a+(n-1)d).[/tex]

For the given series,

first term, a = 1   and   common difference, d = 2.  

Therefore, the sum of first six terms will be

[tex]S_6=\dfrac{6}{2}(2\times 1+(6-1)\times2)=3(2+5\times2)=3(2+10)=3\times12=36.[/tex]

Thus, the required sum of the terms is 36.

Answer:

After 28 years, it will be $131,200

Step-by-step explanation:

It is given that the investment doubles in value every 7 years.

So, after 7 years, it will be 8200 × 2 = 16,400

After 14 years, it will be 16,400 × 2 = 32,800

After 21 years, it will be 32,800 × 2 = 65,600

After 28 years, it will be 65,600 × 2 = 131,200

Hence, the investment is $131,200 worth after 28 years.

Answer:

Correct choice is 3)

Step-by-step explanation:

Enlargment is a dilation. A dilation is a transformation that preserves parallel lines and each side length of the pre-image parallelogram is multiplied by the same coefficient.

Note that

[tex]\overrightarrow{IF}=(-7-(-9),5-2)=(2,3);\\ \\\overrightarrow{DA}=(0-(-6),4-(-5))=(6,9)=3\cdot (2,3)=3\overrightarrow{IF}.[/tex]

From this statement you can conclude that the factor of dilation is 3.

Since

[tex]\overrightarrow{FG}=(-3-(-7),5-5)=(4,0),[/tex]

then

[tex]\overrightarrow{AB}=3\overrightarrow{FG}=3(4,0)=(12,0)\ \text{or}\ \overrightarrow{BA}=(12,0)[/tex]

and

[tex]\overrightarrow{DC}=(12,0)\ \text{or}\ \overrightarrow{CD}=(12,0)[/tex]

Yhis gives you that B(12,4) (or B(-12,4)) and C(6,-5) (or C(-18,-5)).

Answer:

Solution for givrn system of inequalities: [tex]\{x ~| ~x < 0\}[/tex]

Step-by-step explanation:

We are given a system of two inequalities:

[tex]2x-1 < 7\\5x+3 < 3[/tex]

Solving the inequalities individually:

[tex]2x-1 < 7\\2x<7+1\\2x < 8\\x < 4\\\text{In interval notation: } x \in (-\infty, 4) \\\\5x + 3 < 3\\5x < 3-3\\5x < 0\\x< 0\\\text{In interval notation: } x \in (-\infty, 0)[/tex]

The intersection of the two solution will give us the solution to the system of inequalities:

[tex]x \in (-\infty, 4) \cap (-\infty, 0)\\ x \in (-\infty, 0) \\\{x ~| ~x < 0\}[/tex]

answer (0,10) see pic:

 This is the 3rd one I have helped with, you should start seeing a pattern with the answers.

Answer:

x^2 - 3x +2

Step-by-step explanation:

[tex]\frac{-5x^3+15x^2-10x}{-5x}[/tex]

We divide the whole expression by -5x

When we divide by negative the  sign of each term changes

We divide each term separately by -5x

-5x^3 / -5x = x^2

15x^2 / -5x = -3x

-10x/ -5x = +2

So the expression becomes x^2 - 3x +2

Through setting up and solving an algebraic equation, we find that Rita is 15 years old, her mother is 60 years old, and her grandmother is 120 years old. These ages satisfy the conditions that the sum of their ages is 194, Rita's mother is 4 times her age, and her grandmother is twice the age of her mother.

Let's use algebra to solve the problem of finding the ages of Rita, her mother, and her grandmother. We will start by defining the variable x to represent Rita's age. According to the information provided, Rita's mother's age is 4 times as old as Rita, so we can express that as 4x. The grandmother is twice as old as the mother, which can be written as 2(4x) or 8x.

Next, we need to use the fact that the sum of their ages is 194. We can set up the following equation based on all the information we have:

x (Rita's age) + 4x (Mother's age) + 8x (Grandmother's age) = 194

Combining like terms, we get:

13x = 194

Now, we solve for x by dividing both sides of the equation by 13:

x = 194 / 13

x = 14.923 (As ages are typically expressed as whole numbers, we would round this to the nearest whole number if necessary, but in this case, 194 is evenly divisible by 13, so x = 15).

Now that we know Rita's age, we can find out her mother's and grandmother's ages:

These are the ages of Rita, her mother, and her grandmother.