On Monday morning Sergio Pappas had $14.78 in cash. During the week he earned $45.00 for cutting lawns and $35.75 for yard work, and he spent $25.23 on food and $22.12 on gas.
What were Sergio’s total earnings for the week?
What total amount did he have to spend during the week?
What was his balance at the end of the week?

Answer:

6 ways

Step-by-step explanation:

Given:

Books: Spanish, Maths and History textbooks (1 each)

Required

Determine the number of arrangements

In total, Nathan has 3 books.

The number of arrangements (n) is as follows:

The first book can be lined in 3 ways

The second book can be lined in 2 ways

The third book can be lined in 1 way

So,

\(n = 3 * 2 * 1\)

\(n = 6\)

Answer:

6 ways

Step-by-step explanation:

took edge test

Yes, any purely Reflexive relation can be Transitive relation, reason x=y=z in such relations are the only situations when the premise "xRy∧yRz" is applicable. There is no need to take into account situations when x, y, and z are not all the same because the premise never holds for them.

let us understand the types of relations.

In Reflexive relations, each element is related to itself.

In Symmetric relations, If any one element is related to any other element, then the second element is related to the first.

In Transitive relations, If any one element is related to a second and that second element is related to a third, then the first element is related to the third.

Therefore reflexive relation can be a transitive relation.

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Answer:

A) The line of best fit must go through the

origin of the scatter graph

Question 5

Vertical angles are congruent. Therefore, \(3y=\boxed{150}\). The sum of two supplementary angles equals \(\boxed{180^{\circ}}\).

Therefore, \(6x+150=\boxed{180}\)

Question 6

\(\angle b-14=90-\angle b\\\\2\angle b=104\\\\\angle b=\boxed{52^{\circ}}\)

Question 7

\(\angle d+32=180-\angle d\\\\2\angle d=146\\\\\angle d=\boxed{73^{\circ}}\)

Question 8

\(7x-80=3x\\\\-80=-4x\\\\x=20\\\\\implies \boxed{m\angle 1=m\angle 3=60^{\circ}}\)

Every quadratic nonresidue of p is a primitive root of p, when p = 2^k + 1 is primeIf p = 2^k + 1 is a prime number, we want to show that every quadratic nonresidue of p is a primitive root of p.

In other words, we aim to prove that if an element x is a quadratic nonresidue modulo p, then it is also a primitive root of p.

Let's assume p = 2^k + 1 is a prime number. To prove that every quadratic nonresidue of p is a primitive root of p, we can use the properties of quadratic residues and quadratic nonresidues.

A quadratic residue modulo p is an element y such that y^((p-1)/2) ≡ 1 (mod p), while a quadratic nonresidue is an element x such that x^((p-1)/2) ≡ -1 (mod p).

Now, let's consider an element x that is a quadratic nonresidue modulo p. We want to show that x is a primitive root of p.

Since x is a quadratic nonresidue, we know that x^((p-1)/2) ≡ -1 (mod p). By Euler's criterion, this implies that x^((p-1)/2) ≡ -1^((p-1)/2) ≡ -1^2 ≡ 1 (mod p).

Since x^((p-1)/2) ≡ 1 (mod p), we can conclude that the order of x modulo p is at least (p-1)/2. However, since p = 2^k + 1 is a prime, the order of x modulo p must be equal to (p-1)/2.

By definition, a primitive root of p has an order of (p-1). Since the order of x modulo p is (p-1)/2, it follows that x is a primitive root of p.

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Answer:

c

Step-by-step explanation:

Answer: 24 units

Step-by-step explanation:

From the question:

MO, NO and LO are radii.

If MO = 13, THEN LO = NO = 13

IF NO = 13 and NP = 8, THEREFORE,

PO = NO - NP

PO = 13 - 8 = 5

USING PYTHAGORAS, WE CAN FIND MP:

MP = Sqrt(MO^2 - PO^2)

MP = sqrt(13^2 - 5^2)

MP = sqrt(169 - 25)

MP = sqrt(144)

MP = 12 units

P is the midpoint of Segment ML,

THEREFORE,

MP = PL

ML = MP + PL

ML = 12 + 12

ML = 24 units

Answer:

b.) 24 units

Step-by-step explanation:

correct on edg.

Answer:

(x - 10)² + (y + 4)² = 121

Step-by-step explanation:

the equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r is the radius

here (h, k ) = (10, - 4 ) and r = 11 , then

(x - 10)² + (y - (- 4) )² = 11² , that is

(x - 10)² + (y + 4)² = 121

The particles contain 5.199 mol. The result is obtained by dividing the number of particles by the Avogadro number.

Avogadro number is the number of particles contained in 1 mol of any substance. It is 6.022 × 10²³ particles/mol.

The number of particles of a substance can be expressed as

N = n × NA

Where

The number of particles of a substance is 3.131 × 10²⁴ particles. Find the number of moles!

With the Avogadro number, the number of moles would be

N = n × NA

3.131 × 10²⁴ = n × 6.022 × 10²³

n = (3.131 × 10²⁴) / (6.022 × 10²³)

n = 0.5199 × 10¹

n = 5.199 mol

Hence, there are 5.199 mol contained in the particles.

The answer is A.

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Answer:

-1.28

Step-by-step explanation:

You would put these two equations into a graphing ccalculator:

y = -4x - 1

and

y= 5^x + 4

Wherver they intersect is your answer.

These two happen to intersect at (-1.28,4.13)

Since the equation has x-values, you would give the first number (x-coordinate) as your answer.

The rotational kinetic energy of the flywheel is  572,819 J.

The flywheel you described has a radius of 1.58 m and a mass of 91.6 kg. It is spinning counterclockwise at 477 rpm. This means it has a certain amount of rotational kinetic energy, which is proportional to both its mass and its speed of rotation. The formula for rotational kinetic energy is 1/2*I*w^2, where I is the moment of inertia (a measure of how spread out the mass is in the object) and w is the angular velocity (the speed of rotation in radians per second).

To find the moment of inertia of the disk, we can use the formula I = 1/2*m*r^2, where m is the mass and r is the radius. Plugging in the values given, we get I = 1/2*91.6 kg*(1.58 m)^2 = 228.6 kg*m^2.

To convert the rotational speed from rpm to radians per second, we need to multiply by 2*pi/60. So, w = 477 rpm * 2*pi/60 = 50.04 rad/s.

Using these values, we can calculate the rotational kinetic energy of the flywheel as 1/2*(228.6 kg*m^2)*(50.04 rad/s)^2 = 572,819 J.

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For exactly 5 babies in one hour P(X = 5) = (e^(-55) * 55^5) / 5! . Probability of exactly 8 babies in one hourP(X = 8) = (e^(-55) * 55^8) / 8!

To determine the probability of a specific number of births in an hour, we can use the Poisson distribution. The Poisson distribution is commonly used to model the number of events occurring in a fixed interval of time, given the average rate of occurrence.

In this case, the average number of births per hour is given as 55.

a. Probability of exactly 5 babies in one hour:

Using the Poisson distribution formula:

P(X = k) = (e^(-λ) * λ^k) / k!

where λ is the average rate of occurrence and k is the desired number of events.

For exactly 5 babies in one hour:

λ = 55 (average number of births per hour)

k = 5

P(X = 5) = (e^(-55) * 55^5) / 5!

b. Probability of exactly 8 babies in one hour:

Using the same formula:

For exactly 8 babies in one hour:

λ = 55 (average number of births per hour)

k = 8

P(X = 8) = (e^(-55) * 55^8) / 8!

To calculate the probabilities, we need to substitute the values into the formula and perform the calculations. However, the results will involve large numbers and require a calculator or statistical software to evaluate accurately.

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Emily and her family left their house at 4:45 PM and arrived at the campground at 6:00 PM. After setting up the campsite for 1 hour and cooking dinner for 1 hour, they finally ate dinner at 8:00 PM.

To find out the time when Emily and her family finally ate dinner, we need to add up the time it took for each activity.

Emily and her family left their house at 4:45 PM. The drive to the campground took 1 hour and 15 minutes.

To determine the time they arrived at the campground, we add 1 hour and 15 minutes to 4:45 PM.

4:45 PM + 1 hour 15 minutes = 5:45 PM + 15 minutes = 6:00 PM

So, they arrived at the campground at 6:00 PM.

After arriving, they spent 1 hour setting up the campsite. Adding this time to the arrival time:

6:00 PM + 1 hour = 7:00 PM

Now, they spent 1 hour cooking dinner. Adding this time to the previous time:

7:00 PM + 1 hour = 8:00 PM

Therefore, Emily and her family finally ate dinner at 8:00 PM.

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Answer:

5.8 meters

Step-by-step explanation:

The formula to calculate this is given as:

Height/ Shadow

Shadow of the pole = 25.5 m

Height of the pole = x m

Tim's shadow = Height of the pole - Tim's distance

25.5 m - 15.4 m = 10.1 m

Tim's height = 2.3 m

Hence:

x/25.5 = 2.3/10.1

Cross Multiply

10.1x = 25.5 × 2.3

x = 25.5 × 2.3/10.1

x = 5.8069306931 m

Approximately = 5.8m

Hence, the height of the flagpole = 5.8m

Answer:

theres an app thhat can help trust me i understand its hard lolll

Step-by-step explanation:

The area of the shape is 16 units²

The area of a shape is the space occupied by the boundary of a plane figures like circles, rectangles, and triangles.

The area of a triangle is expressed as ;

A = 1/2bh

where b is the base and h is the height.

The shape is divided into two triangles , the area of each triangle is calculated and added together.

area of first triangle = 1/2 × 4 × 5

= 20/2 = 10 units²

area of the second triangle = 1/2 × 4 × 3

= 6 units²

The area of the shape = 10 +6 = 16 units²

Therefore the area of the shape is 16 units²

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The mean for the random variable X is 0.8 and The variance for the random variable X is 0.672.

In this case, we have a binomial distribution with n=5 trials and a success probability of p=0.16 for each trial (the probability of corrosion).

The following formula gives the mean or expected value of the binomial distribution:

μ = np

Putting the given values, we get:

μ = 5 × 0.16 = 0.8

Therefore, the mean for the random variable X is 0.8.

The variance of the binomial distribution is given by the formula:

\(\sigma^2\) = np(1-p)

Putting the given values, we get:

\(\sigma^2\) = 5 × 0.16 × (1-0.16) = 0.672

Hence, the variance for the random variable X is 0.672.

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The true statements are :

the average monthly temperatures of New Orleans are not as varied as that of Indianapolis.

The median of the average monthly temperatures of New Orleans is equal to the upper quartile of the average monthly temperature of Indianapolis.

A box plot is used to study the distribution and level of a set of scores. The box plot consists whiskers and a box. The whiskers represents the minimum and maximum scores. The difference between the minimum and maximum scores is the range.

On the box, the first line to the left represents the lower quartile. The next line on the box represents the median. The third line on the box represents the upper quartile.

Range for New Orleans = 85 - 50 = 35

Range for Indianapolis = 75 - 25 = 50

Median for New Orleans = 70

Upper quartile for  Indianapolis = 70

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Answer:

4 seconds

Step-by-step explanation:

Given that :

Height of a projected object is modeled by:

f(t) = - 16t² + 48t + 64

t = height

How many seconds after projection will it hit the ground ;

When the projectile hits the ground ; t = 0

f(t) = - 16t² + 48t + 64

f(t) = 0

- 16t² + 48t + 64 = 0

Divide through by - 16

t² - 3t - 4 = 0

t² - 4t + t - 4 =0

t(t - 4) +1(t - 4) = 0

(t +1) = 0 or (t - 4) = 0

t = - 1 or t = 4

t can't be negative ;

Hence, the projectile will hit the ground after 4 seconds

John needs to make an annual beginning-of-the-year payment of approximately $369,238.68 to fund the estimated college costs of $196,000 in 10 years, given the after-tax rate of return of 8.65% compounded annually.

To compute the annual beginning-of-the-year payment necessary to fund the estimated college costs, we can use the present value of an annuity formula.

The present value of an annuity formula is given by:

P = A * [(1 - (1 + r)^(-n)) / r],

where P is the present value, A is the annual payment, r is the interest rate per period, and n is the number of periods.

In this case, John wants to accumulate $196,000 in 10 years, and the interest rate he can earn is 8.65% compounded annually. Therefore, we can substitute the given values into the formula and solve for A:

196,000 = A * [(1 - (1 + 0.0865)^(-10)) / 0.0865].

Simplifying the expression inside the brackets:

196,000 = A * (1 - 0.469091).

196,000 = A * 0.530909.

Dividing both sides by 0.530909:

A = 196,000 / 0.530909.

A ≈ 369,238.68.

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♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

\(8 \: \: inch = 16 \times \frac{1}{2} \: inch \\ \)

Thus ;

\(16 \times 25 = 4 \times 100 = 400 \: \: miles \\ \)

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Answer:

400 miles

Step-by-step explanation:

Since there is 8 inches and 1/2 an inch is 25 miles you would multiply 8 and 2 (since its 2 halves to make a whole) which would equal 16. Then you would multiply 16 by 25 to get your answer. Hope this helped :D

Answer:

container A

Step-by-step explanation:

In Container A, we can plot the points (0,60) adn (2, 35)

The slope is :

\(m_A = \frac{y_2-y_1}{x_2-x_1} \\\\= \frac{35-60}{2-0} \\\\= \frac{-25}{2}\\ \\m_A = -12.5\\\)

For container B, the slope is:

\(m_B = \frac{y_2-y_1}{x_2-x_1} \\\\= \frac{32-54}{3-1} \\\\= \frac{-22}{2}\\ \\m_B = -11\\\)

The negative sign of the slope indicates the direction of the slope

\(|m_A| = 12.5\\\\|m_B| = 11\)

12.5 > 11

The slope of container A is steeper than container B

Therefore, the water is draining out of container A at a faster rate than container B

Answer:

the total of 14% of $500.00 is $70

so for 7yrs $70 X 7=$490

The option that is not a statistical question is D. how tall are the corn plants?

A statistical question is one that may be answered by gathering data and for which the data will vary. Questions answered with a single data point are not statistical questions since the data utilized to answer the question is not variable.

A statistical question is one that can be answered by gathering varying amounts of data. A statistical inquiry is one that yields varying responses and outcomes (data). It must be collected on more than one person and there must be room for the facts to vary.

Therefore, based on the information illustrated, the correct option is D. It was too general and not specific

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The number of units produced increases from 2 to 452 as the number of factory workers increases from 0 to 90, which gives;

Part A:

Part B:

Part C:

Part A:

The correlation is the relationship between variables based on statistical data.

From the given table, the difference between consecutive terms of the x and y-values are constant, therefore as the x-values increases, the corresponding y-value increases.

Change in x-values, ∆x = 10 - 0 = 20 - 10 = 30 - 20 = 10

Change in y-values, ∆y = 52 - 2 = 102 - 52 = 152 - 102 = 50

Therefore;

Part B:

Given that the rate of change of the x-values is constant, and the rate of change of the y-values is a constant, the function relating the x and y-values is a linear function, which can be found as follows;

Slope of the equation, m = ∆y/∆x

Which gives;

m = 50/10 = 5

y - 2 = 5•(x - 0)

The function that best fits the data is therefore;

Part C:

The slope of the function is the coefficient of the variable x in the equation, y = m•x + c

The y-intercept of the function is the value of the constant term, c, in the equation, y = m•x + c

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