HELP ME WITH PRECALC QUESTION

The LCM of A = 3² × 5⁴ × 7 and B = 3⁴ × 5³ × 7 × 11 is 3898125 using Prime factorization.

Given are two numbers which are showed in the prime factorized form.

A = 3² × 5⁴ × 7

B = 3⁴ × 5³ × 7 × 11

Prime factorization is the factorization of a number in terms of prime numbers.

In order to find the LCM of these two numbers, we have to first match the common primes and write down vertically when possible and then bring down the primes in each column.

A = 3² ×         5³ × 5 × 7

B = 3² × 3² × 5³ ×       7 × 11

Bring down the primes in each column.

LCM = 3² × 3² × 5³ × 5 × 7 × 11

        = 3898125

Hence the LCM is 3898125.

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Answer:

B

D

D

Step-by-step explanation:

please verify and rate 5 stars and say thank you

Answer:

y=-3x - 4

Step-by-step explanation:

y2 -y1 = 5- -1 =-4

x2 -x1=-3 - -1=-2

slope is -3

Answer:

one million

Step-by-step explanation:

a six digit passcode has one million possible combinations instead of 10,000.

Answer:

a. Three students preferred swimming over running and walking.

b. Fourteen students chose running or walking.

c. Alex and Jose preferred swimming and walking, but not running.

Answer:

12 oz is 16 cents per ounce the 16 oz bottle is 15 cents per oz the 16 oz bottle is a  better price

Step-by-step explanation:

{x| x is a natural number less than 7} ={1. 2. 3. 4. 5, 6}. The statement is true.

What is a natural number?

Natural numbers are all positive numbers that range from 1 to infinity and are consequently a part of the number system. Natural numbers are frequently referred to be counting numbers because they don't contain zero or negative numbers. They are a subset of real numbers that only contains positive integers and excludes all other types of numbers, such as negative, zero, fractional, and decimal.

It is in set builder form of set represenation.

A set consists of elements represented inside flower brackets { }.

Read as x such that x belongs to natural numbers less than 7.

Natural numbers starts from 1,2,3 .... to infinity.

Natural numbers less than 7 means

1,2,3,4,5,6

Represented in set as

{1,2,3,4,5,6}

Hence the statement is true.

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The value g(7) of the function g(x) = 7  / 8 x  - 1 / 2 is 45 / 8.

A function relates each element of a set with exactly one element of another set (possibly the same set).

In a simpler term, a function relates an input to an output.

Therefore, let's find the value of g(7) for the function below:

g(x) = 7  / 8 x  - 1 / 2

Hence,

g(7) = 7 / 8 (7)  - 1 / 2

g(7) = 49 / 8  - 1 / 2

g(7) =  49 - 4 / 8

Therefore,

g(7) = 45 / 8

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1 I think

2 if you count the null

Answer:

AnB=(1,5) i think it may help you

Answer:

Below

Step-by-step explanation:

The equation to use for CONTINUOUS compounding is :

FV = PV e^(it)

18532.08 = 8327 * e^( i*10)        where i is the interest in decimal form

18532.08/8327  = e^(10i)

2.225541 = e^(10i)             now take natural log  (ln) of both sides to get

.8000 = 10i

i = .08     or 8% interest

Answer:

C

Step-by-step explanation:

y = 3 is a horizontal line parallel to the x- axis

Aline perpendicular to it will be a vertical line parallel to the y- axis with equation

x = c ( c is the value of the x- coordinates the line passes through )

The only equation in this form is

x = 6 → C

The required order from least to greatest is √3 − 1, 2√10 ÷ 5, √14, 3√2, √19 + 1 and 6

An arrangement of numbers in which the numbers are arranged from smallest to greatest numbers is called ascending order.

Given that, some numbers, 3√2, √3 − 1, √19 + 1, 6, 2√10 ÷ 5 and √14.

We need to order them from least to greatest,

3√2 = 4.24

√3 − 1 = 0.73

√19 + 1 = 5.35

6

2√10 ÷ 5 = 1.26

√14 = 3.74

The order from least to greatest is :-

0.73, 1.26, 3.74, 4.24, 5.35 and 6

i.e.

√3 − 1, 2√10 ÷ 5, √14, 3√2, √19 + 1 and 6

Hence, the required order from least to greatest is √3 − 1, 2√10 ÷ 5, √14, 3√2, √19 + 1 and 6

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Answer:

p > 34

He wrote more than 34 pages before today.

Step-by-step explanation:

Eduardo wrote 16 more pages, increasing his total number of pages above 50.

p = pages he wrote before today

p + 16 > 50

p > 50 - 16

p > 34

He wrote more than 34 pages before today.

Step-by-step explanation:

Let "x" be the number of senior tickets and "y" be the number of student tickets.

1st day: 2x + 7y = 40

2nd day: 8x + 2y = 56

(I am going to solve this by elimination and using addition because I find that easier.)

First, we are going to get rid of "y":

2 (2x + 7y = 40)          -7 (8x + 2y = 56)

= 4x + 14y = 80           = -56x - 14y = -392

( We multiply the second equation by "-7" so that we can cancel "y")

Now add the equations:

4x + 14y = 80

-56x - 14y = -392

=  - 52x = -312

Now divide -312 by -52

= x = 6

Now subsitute 6 in for "x" in the first equation:

2(6) + 7y = 40

= 12 + 7y = 40

Subtract 12 from each side:

= 7y = 28

Divide 7 from each side:

= y = 4

Answer:

x = 6

y = 4

Hope that helps! :D

Answer:

i think its 21

Step-by-step explanation:

Answer:

95%

Step-by-step explanation:

5 player won, meaning 95 player didn't.

This means that 95% of the players didn't win.

(a) To meet the desired 20g protein and 80g carbohydrate intake, prepare 4 servings of Pork & Beans and combine with 15 slices of "lite" rye bread.

(b) Bread: A/4 slices, Beans: B/21 - (A/4) * (12/21) servings.

(a) To prepare a meal of "beans-on-toast" that supplies 20 grams of protein and 80 grams of carbohydrates, you can use the following combination:

- Servings of Campbell's Pork & Beans: 4 servings.

- Slices of "lite" rye bread: 15 slices.

By using 4 servings of Campbell's Pork & Beans, you will obtain a total of 20 grams of protein (5 grams per serving) and 84 grams of carbohydrates (21 grams per serving).

Combining this with 15 slices of "lite" rye bread will contribute an additional 60 grams of carbohydrates (12 grams per slice) and 4 grams of protein (4 grams per slice). Thus, your meal will meet the desired nutritional requirements of 20 grams of protein and 80 grams of carbohydrates.

(b) The formula to determine the number of slices of bread and servings of Pork & Beans needed to meet specific protein and carbohydrate requirements is as follows:

- Number of slices of bread (Bread): A divided by 4.

- Number of servings of Pork & Beans (Beans): (B divided by 21) minus ((A divided by 4) multiplied by (12 divided by 21)).

Using this formula, you can calculate the appropriate quantities of bread and beans based on the desired protein (A) and carbohydrate (B) values.

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Answer:

C

Step-by-step explanation:

I think its C because where x is you see those three lines, those mean congruent so in that triangle whatever x is the other two angles are the same thing. If I had to guess what x is, its prob 60.

Complete question is;

In 1986, a family member invested $100 each month into a savings account with an interest rate of 0.25% (that didn't change). In 2016, you decided you needed to use that saved up money for a big purchase, so you cash the savings account out.

How much money should be in the account using the FV formula?

Answer:

FV = $107.78

Step-by-step explanation:

We are given;

Present value; PV = 100

Interest rate; r = 0.25% = 0.0025

We are told the PV was in 1986 and In 2016 you decided you needed to use that saved up money .

This is a period of 30 years.

Thus, the number of compounding periods is n = 30

Formula for FV is;

FV = PV(1 + r)ⁿ

FV = 100(1 + 0.0025)^(30)

FV = $107.78

Answer:

THE FOLLOWING MEASURES ARE TRUE FOR THE QUILT:

1. a = 60°

3. The perimeter of the rhombus is 16 inches.

5. The length of the longer diagonal is approximately 7 inches

Step-by-step explanation:

I have attached the picture describing the rhombus.

One by one we will check all the options:

As we can see that:

a+30°=90°

a = 90-30

1) a= 60° which is true

Taking the triangle with the perpendicular x, and using pythagoras theorem, we get:

=16-4 = 12

x= =3.46 ≠3

So option 2, is not true.

The Expression x^2 - 6x + 9 when x = 2 + i   is -2i

To evaluate the expression x^2 - 6x + 9 when x = 2 + i, we substitute the value of x into the expression:

(2 + i)^2 - 6(2 + i) + 9

Simplifying the first term, we get:

(2 + i)^2 = 2^2 + 2(2)(i) + i^2 = 4 + 4i + i^2

Since i^2 = -1, we can substitute that in and simplify further:

(2 + i)^2 = 4 + 4i - 1 = 3 + 4i

Now we substitute this into the original expression:

(2 + i)^2 - 6(2 + i) + 9 = (3 + 4i) - 6(2 + i) + 9

Simplifying further, we get:

= 3 + 4i - 12 - 6i + 9

= 0 - 2i

= -2i

Therefore, the value of x^2 - 6x + 9 when x = 2 + i is -2i.

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.We know

\(\\ \sf\longmapsto Area=\dfrac{πd^2}{4}\)

\(\\ \sf\longmapsto Area=\dfrac{3.14(8)^2}{4}\)

\(\\ \sf\longmapsto Area=\dfrac{3.14(64)}{4}\)

\(\\ \sf\longmapsto Area=3.14(16)\)

\(\\ \sf\longmapsto Area=50.24m^2\)

Answer:

$128

Step-by-step explanation:

288/18 = x/8

Cross multiply.

18x = 288 × 8

18x = 2304

x = 2304/18

x = 128

Chang would make $128 for 8 hours of work.

Answer:

128

Step-by-step explanation:

First, divide $288 by 18 hours of work (288 ÷ 18 = 16)

Then multiply $16 by 8 hours of work (16 x 8 = 128)

Answer:

y=-7x+9

Step-by-step explanation:

Answer/Step-by-step Explanation:

The above given statements can be written as decimals by first writing both quantities in a statement in the same unit.

1. $6.00 to 95 cents:

This is same as $6.00 : 95 cents = \( \frac{6.00}{95} \)

Convert $6 .00 to cents to make both quantities be in the same unit.

$1 = 100 cents

$6.00 = 6*100 = 600 cents

\( \frac{600}{95} = 6.32 \) (to 2 d.p)

2. 3 hours to 35 minutes:

Convert 3 hours to 35 mins

1 hr = 60 mins

3 hrs = 3*60 = 180 mins

\( 180mins : 35 mins = \frac{180}{35} = 5.14 \) (2 d.p)

3. 42 inches to 2 feet:

Convert 2 ft to inches

1 ft = 12 inches

2ft = 2*12 = 24 inches

\( 42 in:24 in = \frac{42}{24} = 1.75 \)

The confidence interval based on the given values (x = 45, n = 96, Confidence level = 95%.

The confidence level (95%), sample size (n = 96), and sample mean (x = 45), we can calculate the margin of error and the confidence interval. Here's how:

1. Margin of Error:

The margin of error represents the maximum expected difference between the true population parameter and the sample estimate. It depends on the confidence level and the standard deviation (which we don't have in this case).

Since the standard deviation is unknown, we can use the t-distribution to estimate it. With a sample size of n = 96, the degrees of freedom are (n - 1) = 95. Considering a 95% confidence level, the critical value for a two-tailed test is approximately 1.984 (referencing a t-distribution table or calculator).

The margin of error (E) can be calculated using the following formula:

E = critical value * (standard deviation / sqrt(n))

However, since we don't have the standard deviation, we can't compute the margin of error in this case.

2. Confidence Interval:

The confidence interval represents a range of values within which the true population parameter is likely to fall.

The confidence interval can be calculated using the formula:

CI = x ± (critical value * standard deviation / sqrt(n))

The confidence interval based on the given values (x = 45, n = 96, confidence level = 95%.

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Answer:

C)  I, III, IV, II

Step-by-step explanation:

Convert each number into a decimal:

\(\textsf{I.} \quad \dfrac{58}{67}=0.86567...\)

\(\textsf{II.} \quad 0.58\%=\dfrac{0.58}{100}=0.0058\)

\(\textsf{III.} \quad 58\%=\dfrac{58}{100}=0.58\)

\(\textsf{IV.} \quad 5.8\%=\dfrac{5.8}{100}=0.058\)

Comparing the tenths of all the numbers, 8 is the biggest tenth, so 58/67 is the largest number.

The next biggest tenth is 5, so 58% is the next largest number.

The two remaining numbers have zero tenths, so compare their hundredths. 5 is the largest hundredth, so 5.8% is the next largest number.  Therefore, 0.58% is the smallest number.

Therefore, the given set of numbers in order from greatest to least is:

Answer:

c) I, III, IV, II

Step-by-step explanation:

Values of l, ll, lll & lV respectively,

→ 58/67, 0.58%, 58%, 5.8%

→ 0.87, 0.0058, 0.58, 0.058

Arranging them in descending order,

→ 0.87 > 0.58 > 0.058 > 0.0058

→ 0.87, 0.58, 0.058, 0.0058

→ l, lll, lV, ll

Hence, the option (c) is correct.

Answer:

Chain rule: \(\frac{d}{dx} [f[u(x)]] = \frac{df}{du} \cdot \frac{du}{dx}\), u-Substitution: \(f\left[u(x)\right] = \int {\frac{df }{du} } \, du\)

Step-by-step explanation:

Differentiation and integration are reciprocal to each other. The chain rule indicate that a composite function must be differentiated, describing an inductive approach, whereas u-substitution allows integration by simplifying the expression in a deductive manner. That is:

\(\frac{d}{dx} [f[u(x)]] = \frac{df}{du} \cdot \frac{du}{dx}\)

Let integrate both sides in terms of x:

\(f[u(x)] = \int {\frac{df}{du} \frac{du}{dx} } \, dx\)

\(f\left[u(x)\right] = \int {\frac{df }{du} } \, du\)

This result indicates that f must be rewritten in terms of u and after that first derivative needs to be found before integration.

Answer:

59,475,643

Step-by-step explanation: