do it now
simplify 3/2/3?

Answer:

x = 1 ± 4\(\sqrt{3}\)

Step-by-step explanation:

(x − 1)² - 4 = 44

(x - 1)² = (x - 1) (x - 1) = x² - x - x + 1 = x² - 2x + 1

x² - 2x + 1 - 4 = 44

x² - 2x - 3 = 44

x² - 2x - 47 = 0

Use the quadratic formula to find the solutions.

\(\frac{-b± \sqrt{b^{2}-4(ac) } }{2a}\)

We get the answer

x = 1 ± 4\(\sqrt{3}\)

So, the answer is x = 1 ± 4\(\sqrt{3}\)

Answer:

7. 30°  8. 97.5°  9. 90°  10. 55°  11. 100°  12. x=32° y=64°

Answer:

A

Step-by-step explanation:

Answer: A

Step-by-step explanation:

Edge

Answer:

x = 129°

Step-by-step explanation:

∠ ABD and ∠ DBC are a linear pair and sum to 180° , then

y + ∠ DBC = 180°

107° + ∠ DBC = 180° ( subtract 107° from both sides )

∠ DBC = 73°

the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles , then

x = ∠ DBC + z = 73° + 56° = 129°

To find the number of students who paid the discounted price, we can set up a system of equations based on the given information. Let's assume that x students paid the regular price of PHP 50, and y students received the discount and paid PHP 30. The total number of students in the class is 314. By solving the equations, we can determine that 178 students paid the discounted price.

Let's set up the equations based on the given information. The total cost of the trip is PHP 10,080. We know that the number of students who paid the regular price (x) multiplied by PHP 50 plus the number of students who paid the discounted price (y) multiplied by PHP 30 should equal the total cost.

So the first equation is:

50x + 30y = 10,080

We also know that the total number of students is 314, so the second equation is:

x + y = 314

To solve this system of equations, we can use the substitution or elimination method. Let's solve it using the elimination method. We'll multiply the second equation by 50 to make the coefficients of x the same in both equations:

50(x + y) = 50(314)

50x + 50y = 15,700

Now we can subtract the first equation from the second equation:

(50x + 50y) - (50x + 30y) = 15,700 - 10,080

20y = 5,620

Dividing both sides of the equation by 20, we get:

y = 281

Therefore, 281 students paid the discounted price of PHP 30, and the remaining students, 314 - 281 = 33, paid the regular price of PHP 50.

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I would say it would be "True friends stay together through good times and bad" because it gives a moral of a story.

Answer:

True friends stay together through good times and bad.

Step-by-step explanation:

8*x^9*y^6*z^6 + 40*x^8*y^3*z^8

In order to factor this expression we need to find the common factor between the two terms. First we need to find the largest common factor between the two numerical parts, in this case 8 and 40. In this case, we can divide 40 by 8 directly, therefore the common factor is 8. For the variables we need to find the largest common factor aswell and to do this we need to indentify the letters that are repeated and between them the factor we are looking for is the one with the smallest expoent.

The "x" variable is repeated in both terms, the first one appears as x^9 while the second one is x^8. So the common factor is x^8.

The y variable is repeated in both terms, the first one appears as y^6 while the second one appears as y^3. So the common factor is y^3.

Lastly the z variable appears in both terms, with the first one being z^6 and the second z^8. So the common factor is z^6.

We now take all the common factors and divide each term by them as shown below:

The result is 8*x^8*y^3*z^6*(x*y^3 + 5*z^2).

Answer:

66

Step-by-step explanation:

79+35=114

180-114=66

angles in a triangle add up to 180

Compound interest is the interest which applies on both the initial principal and the accumulated interest. The monthly payment should be $104.29 or more than it. Thus the option C is the correct option.

Compound interest is the interest which applies on both the initial principal and the accumulated interest. It can be given as,

\(A=p(1+\dfrac{r}{n\times100})^{nt }\)

Here \(A\) is the total amount after \(t\) years on the principal amount \(p\) with interest rate of \(r\).

Given information-

The loan amount is $3000.

The interest rate is 7.5%.

The number of month is 36.

As the number of month in one year 12. Thus the total amount is,

\(A=3000(1+\dfrac{7.5}{100\times12})^{36} \\A=3000(1+\dfrac{7.5}{100\times12})^{36} \\\A=3754.34\)

Monthly payment of loan is,

\(=\dfrac{A}{12} \\=\dfrac{3754.34}{12} \\=104.29\)

Thus the monthly payment should be $104.29 or more than it. Thus the option C is the correct option.

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The diameter of the circle is 26 in

To find the diameter of circle Q, we used the concept that the diameter of a circle is twice the radius.

We were given the area of the circle, and we used the formula for the area of a circle, A = πr², to find the value of the radius.

Once we found the value of the radius, find the diameter by finding twice the radius.

Here we have

Area of the Circle Q, A = 169π in²  

Let r be the radius of the circle

Using the formula,

Area of the circle A = πr²

=> πr² =  169π

=>  r² = 169

=>  r = 13

Hence radius of the circle = 13

So diameter of the circle, d = 2r = 2(13) = 26 in

Therefore,

The diameter of the circle is 26 in.

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Explanation:

If there are n apples in a straight line, then there are n-1 gaps between the adjacent apples.

Having 8 apples will have 8-1 = 7 gaps between the apples.

Similarly, having 7 apples will have 7-1 = 6 gaps between those apples.

The 8 by 7 rectangle in the bottom level will have a 7 by 6 rectangle on the second level. The third level will have a 6 by 5 rectangle, and so on.

Here's a table to keep track of everything

\(\begin{array}{|c|c|c|} \cline{1-3}\text{Level} & \text{Dimensions} & \text{Number of apples}\\ \cline{1-3}\text{1} & \text{8 by 7} & \text{56}\\ \cline{1-3}\text{2} & \text{7 by 6} & \text{42}\\ \cline{1-3}\text{3} & \text{6 by 5} & \text{30}\\ \cline{1-3}\text{4} & \text{5 by 4} & \text{20}\\ \cline{1-3}\text{5} & \text{4 by 3} & \text{12}\\ \cline{1-3}\text{6} & \text{3 by 2} & \text{6}\\ \cline{1-3}\text{7} & \text{2 by 1} & \text{2}\\ \cline{1-3}\end{array}\)

The last step is to add up everything in the third column

56 + 42 + 30 + 20 + 12 + 6 + 2 = 168 apples total

The estimated probability that all four randomly selected young American men are 68 inches or shorter is approximately 0.004 or 0.4%.

To calculate the probability that all four randomly selected young American men are 68 inches or shorter, we need to consider the probability for each individual man and multiply them together.

Let's assume that the probability of an individual young American man being 68 inches or shorter is p. Since we are selecting four men at random, the probability of each man being 68 inches or shorter is the same, and we can multiply their probabilities together.

The probability of one man being 68 inches or shorter is p. Therefore, the probability of all four men being 68 inches or shorter is p × p × p × p = p^4.

However, we are not given the specific value of p in the problem statement. If we assume that the height of young American men follows a normal distribution, we can look up the corresponding z-score for a height of 68 inches or shorter and use the standard normal distribution to estimate the probability.

For example, if we find that a height of 68 inches corresponds to a z-score of -1.0, we can use a standard normal distribution table or a calculator to determine the probability of a z-score less than or equal to -1.0. Let's say this probability is approximately 0.1587.

Therefore, the estimated probability that all four randomly selected young American men are 68 inches or shorter would be (0.1587)^4 = 0.004.

Thus, the probability is approximately 0.004 or 0.4% rounded to three decimal places.

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The cylindrical coordinates of (−7, 7, 7) are (√98, -π/4, 7). cylindrical coordinate (−7, 7 3 , 1) is  (14, -π/3, 1).

We must switch from rectangular to cylindrical coordinates in the provided problem. (let r ≥ 0 and 0 ≤ θ ≤ 2π.)

A)(−7, 7, 7)

Given rectangular coordinates(x, y, z) =(−7, 7, 7)

The cylindrical coordinates are (r, θ, z)

As a result, we determine each value of r and θ  separately.

r = √x²+y²

r = √(-7)²+(7)²

r = √49+49

r = √98

θ = tan⁻¹ (y/x)

θ =tan⁻¹  (7/-7)

θ =tan⁻¹  (-1)

θ = -π/4

So cylindrical coordinate = (r, θ, z) = (√98, -π/4, 7)

B) (-7,7√3,1)

Given rectangular coordinates(x, y, z) = (-1,1,1)

The cylindrical coordinates are (r, θ, z)

As a result, we determine each value of r and θ  separately.

r = √x²+y²

r = √(-7)²(7√3)²

r = √49+147

r = √196

r = 14

θ = (y/x)

θ = (7√3/-7)

θ = (-√3)

θ = -π/3

So cylindrical coordinate = (r, θ, z) = (14, -π/3, 1)

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Step-by-step explanation:

The expression that correctly calculates the perimeter of the shape is given as follows:

P = 2(6s + πr).

In which:

The perimeter of a square of side length s is given as follows:

P = 4s.

Hence, for three squares, the perimeter is given as follows:

P = 3 x 4s

P = 12s.

The perimeter, which is the circumference of a semicircle of radius r, is given by the equation presented as follows:

C = πr.

Hence the perimeter of two semicircles is given as follows:

C = 2πr.

The perimeter of the entire shape is given by the sum of the perimeter of each shape, hence:

P = 12s + 2πr.

P = 2(6s + πr).

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Answer:

A

Step-by-step explanation:

quotient is answer to division problem

Answer:  A.

Step-by-step explanation:

In the division model you divide to find the number of counters in each group. ... In multiplication the numbers you multiply are called factors; the answer is called the product. In division the number being divided is the dividend, the number that divides it is the divisor, and the answer is the quotient.

I hope this helps plz tell me if its wrong so i can fix it.

Answer:

The slope of the line=4/5

Step-by-step explanation:

The formula y=mx + b is set up in slope-intercept form, where m=slope and b=y-intercept

y=mx + b

b= -3

m= 4/5

Note: b can be negative or positive

Therefore, the slope=4/5

The present value of the payments is smaller than the amount of the loan, so you will not be able to pay off the loan.

The present value of the payments refers to the current value of the future payments, considering the time value of money. In this case, the payments are made over a period of 8 months, and each payment is listed. To determine if the payments will be enough to pay off the credit card, we need to calculate the present value of these payments and compare it to the initial loan amount of $5,000.

Since the interest rate on the credit card is 1.5% per month, we need to discount each payment back to its present value. By discounting the payments, we can see the equivalent value of these payments in today's dollars. If the present value of the payments is equal to or greater than $5,000, it would be enough to pay off the loan. However, if the present value is smaller than $5,000, it means the payments will not be sufficient to pay off the loan.

In this case, without specific information about the discount rate used to calculate the present value, we cannot make an exact determination. However, based on the given information, which states that the present value of the payments is smaller than the amount of the loan, it suggests that the payments will not be enough to pay off the credit card debt.

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Answer:

I'll do each section below

Step-by-step explanation:

First question = 15

I'm going to assume that P and Q are equal so your equation would be:

8x+4 = 124

(-4 from both sides) => 8x = 120

(divide by 8 both sides) => x=15

Second question = 129

Angles on a straight line = 180 so your equation is:

5x+4+2x+1 = 180

(simplify) 7x+5 = 180

(-5) 7x = 175

(divide by 7) x = 25

Now since you are finding the obtuse angle you substitute this into 5x+4 and you should get 129

Third question = angle y

Adjacent just means next to so in this case the angle next to angle z is angle y

Hope this all helped, have a great day! :)

The answer to all the subparts are:

So, the formula for mean calculation:

So, we obtain:

The formula for standard error:

So, we get:

\(\begin{aligned}&S E=\sqrt{\frac{0.64+(1-0.64)}{50}} \\&S E=\sqrt{0.004608} \\&S E=0.068\end{aligned}\)

So, the standard error is 0.068, and the mean is 32.

Given the size of the sample, a roughly normal shape can be anticipated.

In order to determine the likelihood of scoring less than 60%, we must first determine the z-score using:

So, we obtain:
\(\begin{aligned}&z=\frac{0.60-0.64}{0.068} \\&z=-0.588\end{aligned}\)

Then,

Consequently, the probability of receiving a score below 60% is 0.278.

Therefore, the answer to all the subparts are:

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The complete question is given below:
An exam consists of 50 multiple-choice questions. Based on how much you studied, for any given question, you think you have a probability of 0.64 of getting the correct answer. Consider the sampling distribution of the sample proportion of correct questions out of 50. (a) Find the mean and standard error of the sampling distribution of this proportion. Mean = (2 decimal places) Standard error = (3 decimal places) (b) What do you expect for the shape of this sampling distribution? approximately normal because n is large cannot be determined because p is greater than 0.5 cannot be determined because n is large approximately normal because the population is normal (c) If truly p = 0.64, calculate the probability of getting a sample proportion less than 0.60? (correct answers on less than 60% of the questions) Probability = (3 decimal places)

Answer:

(–3, –2)

Step-by-step explanation:

A linear equation is an equation in the form y = mx + b, where m is the slope of the line and b is the y intercept.

Equation A is represented by the points:

x:    -5      -2        0          1

y:    -4       -1         1           2

Equation A can be gotten by picking any two pair of points. Let us use (-5, -4) and (0, 1). We use this formula:

\(y- y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\y-(-4)=\frac{1-(-4)}{0-(-5)} (x-(-5))\\\\y +4=x+5\\\\y=x+1\)

Equation B is represented by the points:

x:    -6      -3        3          6

y:    -4       -2         2          4

Equation B can be gotten by picking any two pair of points. Let us use (-6, -4) and (3, 2). We use this formula:

\(y- y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\y-(-4)=\frac{2-(-4)}{3-(-5)} (x-(-6))\\\\y +4=\frac{2}{3}( x+6)\\\\y+4=\frac{2}{3} x+4\\\\y=\frac{2}{3}x\)

The solution to the system of equations is gotten by solving y = x + 1 and y = (2/3)x simultaneously.

Substitute y = (2/3)x in y = x + 1:

(2/3)x = x + 1

2x = 3x + 3

x = -3

Put x = -3 in y = (2/3)x

y = (2/3) (-3) = -2

Hence (-3, -2) is the solution

Answer:

(-3,-2)

Step-by-step explanation:

The linear approximation of ƒ (x, y) = √√√y² – x² at (3, 5) is L(x, y) = 2 – 0.02x + 0.04y. The estimate of f(2.98, 5.02) using the linear approximation is 2.999998.

The linear approximation of a function at a point is a linear function that best approximates the function near that point. The linear approximation of ƒ (x, y) = √√√y² – x² at (3, 5) is given by

L(x, y) = ƒ(3, 5) + ƒ_x(x – 3) + ƒ_y(y – 5)

where ƒ_x and ƒ_y are the partial derivatives of ƒ at (3, 5).

Substituting the values of ƒ(3, 5), ƒ_x, and ƒ_y, we get

L(x, y) = 2 – 0.02x + 0.04y

The estimate of f(2.98, 5.02) using the linear approximation is obtained by substituting x = 2.98 and y = 5.02 into L(x, y). This gives

L(2.98, 5.02) = 2 – 0.02(2.98) + 0.04(5.02) = 2.999998

Note: The linear approximation is only an approximation, and the actual value of f(2.98, 5.02) may be slightly different from the estimate.

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To solve the multiple questions performed, a process is being followed to get accurate results which are mentioned after the respective questions.

Addition is the process of joining two or more numbers to determine their total. The result of adding the numbers 3 and 4 is 3 + 4 = 7, for instance. Any sort of number, including whole integers, fractions, decimals, and even negative values, can be added to.

The process of subtracting involves calculating the difference between two numbers. For example, subtracting 4 from 7 yields 7 - 4 = 3. Any sort of number, including whole integers, fractions, decimals, and negative values, can be subtracted.

Multiplication is the process of combining two or more numbers to determine their product. The result of multiplying the numbers 3 and 4 is 3 * 4 = 12, for instance. such as addition. Any kind of number may be used for addition, subtraction, and multiplication.

The act of dividing two integers involves determining their quotient. For example, dividing 12 by 4 yields 12 / 4 = 3. Any sort of value could be divided, although some combinations of numbers, such dividing by zero, are not described as division.

How to solve?

1) 3 * (-6) * (7/12) which is -7.5. So, the answer is -18 and 7/120 or negative 18 and 7 over 120.

2) -3.8 + b - 18.4 ≥ 0

-22.2 + b >= 0

∵sum of a number and 18.4 is at least -3.8, we can say that b is greater than or equal to -22.2.

∴b + 18.4 ≥ −3.8.

3) (-3/3) - (6/4) = (-9/3) - (6/4)

(-9/3) - (6/4) = (-9/3) * (4/4) - (6/4) * (3/3)

= (-36/12) - (18/12)

(-36/12) - (18/12) = -54/12 = -9/2 = -4 and 1/2

The correct answer is negative 18 and one-half.

4) 37.50w = $300

w = 8

37.5w + 155.95 = 455.95; w = 8.

5) (-7/6) / (-17/5) = (-7/6) * (5/17)

= (-35/102)

(-35/102) / (35/35) = (-1/3) / 1

= -1/3

6)x/8 + 32 = -7

x/8 = -39

x = -8 * -39

x = 8 * 39

x = 312

7)x = 56

x = 7

x = −88

x = −24

8)= [(2 and one tenth)^5] / [(9 tenths)^4]^5

= [2^5 * (1/10)^5] / [9^4 * (1/10)^4]^5

= [2^5 * (1/10)^5] / [9^4 * (1/10)^4]^5

= 2^5 * (1/10)^5 / (9^4 * (1/10)^4)^5

= 2^5 * (1/10)^5 / 9^4 * (1/10)^4 * 5

= 2^5 * (1/10)^5 / 9^4 * (1/10)^4 * 5

= 2^5 / 10^5 / 9^4 / 10^4 * 5

= 2^5 / (10^5 * 9^4) / 10^4 * 5

= 2^5 / (10^5 * 9^4) / 10^4 * 5

= 32 / (10^9 * 6561) * 5

= 32 / (10^9 * 6561) * 5

= 32 / 65610000 * 5

= 32 / 65610000 * 5

= 32 / 3285050000

= 32 / 3285050000

= 0.0000977077

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Answer:

Sweet and Sour Company

Step-by-step explanation:

$24/4 gallons=$6/gallon

$16/8 quarts       (divide by 4 cause there's 4 quarts per gallon)=$8/gallon

Answer: Sweet and Sour company is right

Step-by-step explanation: