Hello! I need some assistance with this homework question I have. The image is posted below Q4

If 24 percent of the snack mix is pretzel, we simply need to multiply the total number of ounces by 0.24.

0.24 x 32 = 7.68

7.68 ounces of the snack mix will be pretzels.

Answer:

answer is D.

you multiply 32 x .24 = 7.68oz

Step-by-step explanation:

the way you solve this question

32 x .24%= 7.68 oz

make sure you place your decimal place to spaces to your left!

hope this helps!

Answer:

all 3 options are true : A, B, C

Step-by-step explanation:

warning : it has come to my attention that some testing systems have an incorrect answer stored as right answer for this problem.

they say that A and C are correct.

but I am going to show you that if A and C are correct, then also B must be correct.

therefore, my given answer above is the actual correct answer (no matter what the test systems say).

originally the information about the alignment of the point F in relation to point E was missing.

therefore, I considered both options :

1. F is on the same vertical line as E.

2. F is not on the same vertical line as E.

because of optical reasons (and the - incomplete - expected correct answers of A and C confirm that) I used the 1. assumption for the provided answer :

the vertical line of EF is like a mirror between the left and the right half of the picture.

A is mirrored across the vertical line resulting in B. and vice versa.

the same for C and D.

this leads to the effect that all 3 given congruence relationships are true.

if we consider assumption 2, none of the 3 answer options could be true.

but if the assumptions are true, then all 3 options have to be true.

now, for the "why" :

remember what congruence means :

both shapes, after turning and rotating, can be laid on top of each other, and nothing "sticks out", they are covering each other perfectly.

for that to be possible, both shapes must have the same basic structure (like number of sides and vertices), both shapes must have the same side lengths and also equally sized angles.

so, when EF is a mirror, then each side is an exact copy of the other, just left/right being turned.

therefore, yes absolutely, CAD is congruent with CBD. and ACB is congruent to ADB.

but do you notice something ?

both mentioned triangles on the left side contain the side AC, and both triangles in the right side contain the side BD.

now, if the triangles are congruent, that means that each of the 3 sides must have an equally long corresponding side in the other triangle.

therefore, AC must be equal to BD.

and that means that AC is congruent to BD.

because lines have no other congruent criteria - only the lengths must be identical.

Answer:

(0,5) and (2,6)

Step-by-step explanation:

Answer:

The height of the flag staff is 73 m

Step-by-step explanation:

Let H₁ be the height of the building.

Since the angle of elevation of the top of the tower is 45° from a point 100 m away from the base of the tower,

From tan45° = H₁/100

H₁ = 100tan45° = 100 m

Let H₂ be the height of the building plus flag staff.

Since the angle of elevation of the top of the flag staff is 60° from the same point 100 m away from the base of the tower,

From tan60° = H₂/100

H₂ = 100tan60°

= 100√3

= 100 × 1.73

= 173 m.

So, the height of the flag staff is h = H₂ - H₁

= 173 m - 100 m

= 73 m.

So, the height of the flag staff is 73 m

Answer:

$\(3.2\)

Step-by-step explanation:

\(0.48\) ÷ \(3\) = \(0.16\)

\(0.16*20=3.20\)

Hope this helps

Answer:

$3.2

Step-by-step explanation:

one roll cost 0.48 ÷ 3 = 0.16

so 20 rolls cost 0.16 x 20 = 3.2

Answer:

x+345-398

Step-by-step explanation:

x+345-398

=x-53

where x is the amount of money he previously had on his account

The number of ways to choose 5 books from a group of 9 can be calculated using the concept of combinations.

To determine the number of ways to choose 5 books from a group of 9, we can use the combination formula. The formula for combinations, also known as "n choose r," is given by C(n, r) = n! / (r!(n-r)!), where n is the total number of items and r is the number of items to be chosen.

In this case, we have 9 books and we want to choose 5 books. Plugging the values into the combination formula, we have C(9, 5) = 9! / (5!(9-5)!) = 9! / (5!4!) = (9 * 8 * 7 * 6) / (4 * 3 * 2 * 1) = 126.

Therefore, there are 126 different ways to choose 5 books from a group of 9.

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Answer:

0.6

Step-by-step explanation:

WE KNOW THAT

P(E)+P(F)=1

P(E)=0.4

NOW

P(E)+P(F)=1

0.4+P(F)=1

P(F)=0.6

HENCE THE PROBABILITY OF NOT SPINNING A BLUE COLOUR IS 0.6

Probability of not spinning a blue colour is 0.6

We know that sum of all Probability is 1,

So the probability of not spinning a blue is = 1 - Probability of  spinning a blue colour.

Putting values we get, = 1 - 0.4 = 0.6

Hence the probability of not spinning a blue colour is 0.6

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Answer:

la pregunta me confunde un poco, pero si le entendí, tendría que ser 28 bolsas, habrán 10 galletas en cada bolsa, y no sobrarán galletas

Answer:

A: 600=1.05x

B: 600=1.06x

Step-by-step explanation:

:-)

Answer:

It will take 1.6 hours for the two trains to be 336 miles apart.

Step by step explanation:

Given that:

Speed of eastbound train = 95 miles per hour

Speed of westbound train = 115 miles per hour

Combined speed = 95+115 = 210 miles

Distance = 336 miles

\(Speed = \frac{Distance}{Time}\\\\210 = \frac{336}{Time}\\\\Time = \frac{336}{210}\\\\Time = 1.6\ hours\)

Hence,

It will take 1.6 hours for the two trains to be 336 miles apart.

Answer:

55

Step-by-step explanation:

bedcause if you add 50 and 5 then it makes yes

The number of papers checked by both becomes equal in 10 hours.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

Teacher Malone is reviewing papers in the educators' parlor. She has previously gotten done with reviewing 20 tasks and is evaluating 5 additional tasks each hour. Her showing colleague just came in to help her. He can grade at a pace of 7 tasks consistently.

Let 'x' be the number of hours and 'y' be the number of assignments. Then the equations are given as,

y = 5x + 20        ...1

y = 7x                ...2

At some point, they will be finished and will have graded the same number of papers. Then from equations 1 and 2, we have

7x = 5x + 20

7x - 5x = 20

2x = 20

x = 20 / 2

x = 10

The number of papers checked by both becomes equal in 10 hours.

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Answer:

C

Step-by-step explanation:

Because 1.2+1.8 equal to 3.

The measure of angle 1 in the figure would be 170° and they are supplementary angles.

The supplementary angles are defined as when pairing of angles addition to 180° then they are called supplementary angles. There are two types of supplementary angles.

We have been given that two floors of a parking lot are connected by a ramp that rises in a parking garage. The horizontal and the ramp are at a 10° angle.

We have to determine the measure of angle 1 in the figure.

As per the given figure,

The ramp makes a 10° angle with the horizontal.

Here pairing of angles in addition to 180° then they are supplementary angles.

So the measure of angle 1 would be:

∠ 1 = 180°-10° = 170°

Therefore,  the measure of angle 1 in the figure would be 170° and they are supplementary angles.

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Answer:  \(h = \frac{J-2b}{2r}\)

Work Shown:

\(J = 2hr + 2b\\\\J - 2b= 2hr\\\\h = \frac{J-2b}{2r}\)

Explanation:

In the 2nd step, we isolate the "2hr" by subtracting both sides by 2b. This is do unto the +2b done to the right side initially. We want 2hr all by itself since it contains h.

Then to fully isolate h, we divide both sides by 2r. It might help to think of 2hr as 2r*h so you can pull out the terms easier. The division is done to undo the multiplication.

If writing out the final step using a keyboard, then you would say (J-2b)/(2r). Use parenthesis to indicate which terms are being divided.

Step-by-step explanation:

nope!

because the value has increased 6%*102%=6.12% in second year which we have 8.12% i total

The root of the equation sinx = 2x-3 is 0.8401 (approx).

Given equation is sinx = 2x-3

We need to solve this equation using false position method.

False position method is also known as the regula falsi method.

It is an iterative method used to solve nonlinear equations.

The method is based on the intermediate value theorem.

False position method is a modified version of the bisection method.

The following steps are followed to solve the given equation using the false position method:

1. We will take the end points of the interval a and b in such a way that f(a) and f(b) have opposite signs.

Here, f(x) = sinx - 2x + 3.

2. Calculate the value of c using the following formula: c = [(a*f(b)) - (b*f(a))] / (f(b) - f(a))

3. Evaluate the function at point c and find the sign of f(c).

4. If f(c) is positive, then the root lies between a and c. So, we replace b with c. If f(c) is negative, then the root lies between c and b. So, we replace a with c.

5. Repeat the steps 2 to 4 until we obtain the required accuracy.

Let's solve the given equation using the false position method.

We will take a = 0 and b = 1 because f(0) = 3 and f(1) = -0.1585 have opposite signs.

So, the root lies between 0 and 1.

The calculation is shown in the attached image below.

Therefore, the root of the equation sinx = 2x-3 is 0.8401 (approx).

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Answer:

Fraction form: 1/2

Decimal Form: 0.5

Step-by-step explanation:

2 x  1/2 x 1/2

Keep in mind each time you are trying to find the Volume of a Prism make sure to multiply the length x width x height.

Here's a sample program in C++ that satisfies your requirements:

```
#include
using namespace std;

int main() {
 int num;
 cout << "Enter an integer between 0 and 35: ";
 cin >> num;

 if (num <= 9) {
   cout << num << endl;
 } else if (num >= 10 && num <= 35) {
   char letter = static_cast('A' + num - 10);
   cout << letter << endl;
 } else {
   cout << "Invalid input." << endl;
 }

 return 0;
}
```

- The program prompts the user to input an integer between 0 and 35 using the `cout` and `cin` statements.
- The `if` statement checks whether the number is less than or equal to 9. If it is, it outputs the number using the `cout` statement.
- The `else if` statement checks whether the number is between 10 and 35 (inclusive). If it is, it calculates the corresponding letter using the ASCII value for 'A' and the given number. The `static_cast` statement converts the calculated value to a character. Finally, the program outputs the letter using the `cout` statement.
- The `else` statement handles the case when the input is outside the range of 0 to 35. It outputs an error message using the `cout` statement.
- The program ends with the `return 0` statement.

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Answer:

I do not know

Step-by-step explanation:

if you are considering banning me plz do

The sum between the functions:

f(x) = 3x² - 2x + 6

g(x) = 7x - 4

is (f + g)(x) = 3x² + 5x + 2

Here we have two functions which are:

f(x) = 3x² - 2x + 6

g(x) = 7x - 4

And we want to add these to get f + g,  so we only need to add the two functions, we will get:

f(x) + g(x) = (3x² - 2x + 6) + (7x - 4)

Grouping like terms we will get:

(3x² - 2x + 6) + (7x - 4) = (3x²) + (-2x + 7x) + (6 - 4)

And now we can simplify that to get:

(3x²) + (-2x + 7x) + (6 - 4) = 3x² + 5x + 2

The sum is:

(f + g)(x) = 3x² + 5x + 2

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Around 50% to 75% of the daffodils on the south side of the building are not between 46cm and 48cm.

Probability is an area of mathematics that deals with numerical representations of how probable an event is to occur or how likely a statement is to be true. The probability of an occurrence is a number between 0 and 1, where 0 denotes the event's impossibility and 1 represents certainty. A probability is a number that represents the possibility or chance that a specific event will occur. Probabilities can be stated as proportions ranging from 0 to 1, as well as percentages ranging from 0% to 100%.

Here,

This question asks for the probability that none of the three daffodils selected from the south side of the building are between 46cm and 48cm.

Since the median of the data is 46cm

the third quartile is 48cm,

this means that about 50% to 75% of the daffodils on the south side of the building are between 46cm and 48cm.

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(a) tangent line to the graph of f(x) = x^3 at the point (4,2).

(b) equation of the tangent line to the graph of f(x) = x^2 - x at the point (4,12).

(a) To find the equation of the tangent line to the graph of f(x) = x^3 at the point (4,2), we need to find the slope of the tangent line at that point. We can do this by taking the derivative of f(x) with respect to x and evaluating it at x = 4. The derivative of f(x) = x^3 is f'(x) = 3x^2. Evaluating f'(x) at x = 4 gives us the slope of the tangent line. Once we have the slope, we can use the point-slope form of a linear equation to write the equation of the tangent line.

(b) Similarly, to find the equation of the tangent line to the graph of f(x) = x^2 - x at the point (4,12), we differentiate f(x) to find the derivative f'(x). The derivative of f(x) = x^2 - x is f'(x) = 2x - 1. Evaluating f'(x) at x = 4 gives us the slope of the tangent line. Using the point-slope form, we can write the equation of the tangent line.

In both cases, the equations of the tangent lines will be in the form y = mx + b, where m is the slope and b is the y-intercept.

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The required simplified solution of the given numerals is 1. 25/24, 2. -7/8, and 3. 5/4.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
1.
3/8 + 2/3 = 9 + 16 / 24
              = 25 / 24

2.
3 1/4 - 1 1/8  = 1/4 - 9 / 8
                 = -7/8

3.
[2 + 1 /2] / 2 = [5 / 2] / 2 = 5 / 4

Thus, the mandated simplified solution of the assigned numerals is 1. 25/24, 2. -7/8, and 3. 5/4.

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Answer: 4

Step-by-step explanation:

Answer:

7x, or seven times in multiplication

Step-by-step explanation:

Hope it helps

There are total 30 new area codes are possible under new system of telephone companies related to phone numbers with different area codes.

Area codes were introduced in the 1940s. This was an attempt by AT&T to standardize previously disparate numbering schemes.

Originally, area codes were of the form NYX where N=2-9, Y=0-1, X=0-9. N00 and N11 have been excluded. The North American Numbering Plan (NANP) includes 25 countries.

Of the 152 possible area codes, 86 were introduced first. Area codes with 0 in the middle were assigned to states where the area code could cover the entire state. Area codes with 1 in the middle were assigned to states with multiple area codes. The fastest area codes to dial with a rotary phone were assigned to populated areas.

The demand for area codes increased in the 80's and 90's. There were three main factors at the start of this timeframe. 1) the proliferation of cell phones and fax machines, 2) giving Caribbean countries their own area codes rather than sharing the 809 area code, and 3) the US South Pacific joining his NANP. This prompted the industry to increase its stock of area codes by changing the format of both the area code and his CO area code to his NXX. This increased our stock of area codes and CO codes to 792 (8x10x10 - 8 of his N11 codes).

This was a major change that required national coordination.

In 1996, the FCC allowed competition for local communications. This meant that there were many new telecommunications companies with rights to take stock of phone numbers. This has led to a dramatic increase in the demand for numbers and a huge proliferation of new area codes. Over the years, over 30 new area codes have been introduced.

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Complete question:

Several years ago, the US began running out of telephone numbers. Telephone companies

introduced new area codes and numbers were used up, and eventually almost all area codes were

used up. Only answer the questions (c) to (d).

(a) Until recently, all area codes had a 0 or 1 as the middle digit, and the first digit could not be 0

or 1. How many such area codes are possible?

(b) The actual number of area codes under this system was 152. What could be the cause of the

discrepancy between this number and your answer to part (a)?

(c) A 7-digit telephone number that follows the area code cannot start with a 0 or 1. How many

such 7-digit telephone numbers are possible in each area code?

(d) Under the old area code system in part (a), how many total possibilities are there for area

code with telephone number?

(e) The shortage of area codes was resolved by removing the restriction on the second digit of the

area code. (This resulted in problems for some older equipment which used the second digit to

determine that a long-distance call was being made.) How many area codes are possible under

the new system?

(f) How many telephone numbers with area code are possible under the new system?

The integral ∫\((40 to 41) x/(x^2 - 1600) dx\) evaluates to 81/2.

To evaluate the integral ∫\((40 to 41) x/(x^2 - 1600) dx\) using a change of variables, we can let \(u = x^2 - 1600.\)

Now, let's find the derivative du/dx. Taking the derivative of \(u = x^2 - 1600\) with respect to x, we get du/dx = 2x.

We can rewrite the given integral in terms of the new variable u:

∫\((40 to 41) x/(x^2 - 1600) dx\) = ∫(u) (1/2) du.

The best choice of u for the change of variables is \(u = x^2 - 1600\), and du = 2x dx.

Now, the integral becomes:

∫(40 to 41) (1/2) du.

Since du = 2x dx, we substitute du = 2x dx back into the integral:

∫(40 to 41) (1/2) du = (1/2) ∫(40 to 41) du.

Integrating du with respect to u gives:

(1/2) [u] evaluated from 40 to 41.

Plugging in the limits of integration:

\((1/2) [(41^2 - 1600) - (40^2 - 1600)].\)

Simplifying:

(1/2) [1681 - 1600 - 1600 + 1600] = (1/2) [81]

= 81/2.

Therefore, the evaluated integral is:

∫(40 to 41) \(x/(x^2 - 1600) dx = 81/2.\)

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