Olivia gave 1/10 of her stamp collection to her brother and 4/5 of her collection to her sister.What fraction of her stamp collection did Olivia give away?

Answer:

2 x-intercepts at 3 and 9

Step-by-step explanation:

x^2-12x+27=0

(factoring)

(x-3)(x-9)=0

this tells us that there is going to be a x-intercept at both 3, and 9, and that there is no stretching of it. It would look like this.

Answer: 1304.7

Step-by-step explanation: just took test

If the mass m of the wrecking ball is 3620 kg, 902 N is the tension TB in the cable that makes an angle of 40∘ with the vertical

70.51kg is the tension TA in the horizontal cable, derived by static equilibrium

According to the static equilibrium condition, the net force on the object in the horizontal and vertical direction must be zero along the moment about any point. If an object follows the above three condition then it can be said into an equilibrium position.

If the mass m of the wrecking ball is 3620 kg, what is the tension TB in the cable that makes an angle of 40∘ with the vertical 902 N.

70.51 kg  is the tension TA in the horizontal cable

Let’s write the conditions of the equilibrium for the wrecking ball:

∑\(F_{x} = 0 ,\) ∑\(F_y = 0\)

Let’s consider the forces that act on the wrecking ball in the horizontal x- and vertical y-direction:

\(T_a - T_b sin\)∅ = 0, (1)

\(T_b cos\)∅ \(- mg = 0. (2)\)

a) We can find the tension \(T_b\) in the cable that makes an angle of 40° with the vertical from the first equation:

\(T_b = \frac{T_a}{sin}\) = \(\frac{580 N}{sin 40} = 902 N\)

b) We can find the mass of the wrecking ball from the second equation:

\(T_b cos\)∅ \(= mg\)

\(m = \frac{T_b cos}{g} = \frac{902 N * cos 40 }{9.8 m/s^2} = 70.51 kg\)

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Answer:

37

Step-by-step explanation:

The value of ║5p-3q║=180°.

It is given that line l₁ & l₂ are parallel and l₂ & l₃ are transversal then

they must follow the property that the alternate exterior angles must be equal i.e. ∠ q = 135°.

Also ∠ p + ∠ q = 180°.

Therefore, ∠ p = 45°.

Now to solve ║5p-3q║, substituting the values of p & q in the given equation

║5*45 - 3*135║ = 180°.

Hence, ║5p-3q║=180°.

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Yes the comparison fair because, Sampling is the act or process of choosing a sample from a population. In our everyday practical lives, sampling is frequently used.

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The value of CY is 4.4

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion. The ratio of corresponding sides of similar triangles are equal.

Triangle ABC is similar to AXY

therefore,

represent CY is by x

9/9+4 = 10/(10+x)

= 9/13 = 10/10+x

= 13× 10 = 9( 10+x)

130 = 90 + 9x

9x = 130-90

9x = 40

x = 40/9

x = 4.44

therefore the value of CY is 4.44

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Answer:

Your answer is -84 hope this helps

Step-by-step explanation:

brainlest?

Answer:

-84

Step-by-step explanation:

multiply 7 by -12 to get the asnwer of -84.

7x-12=-84

Answer:

Yes, he is correct. One correct step is that he divided 72 ounces by 16 (16 ounces in a pound) and multiplied it by 60, to make it pound/minute.

Step-by-step explanation:

72/16=4.5

4.5x60=270

Answer:

option d

Step-by-step explanation:

x+x+2+2x-4+x+2+x+2x+6= 62

8x+6= 62

8x= 56

x= 7

Answer:

Step-by-step explanation:

Assuming that you meant 6(7x - x), we get:  6(6x) = 36x

The t-test cannot be used in this situation because the samples are not independent, and the variable's distribution is heavily skewed in at least one sample, violating the assumptions of normality and independence.

We cannot use the t-test for this situation for two reasons. Firstly, the samples are not independent as the same 40 subjects are used for both the men and women groups. Secondly, the variable's distribution is heavily skewed in at least one sample and the sample size is relatively small. These factors violate the assumptions of normality and independence that are required for the t-test to be valid. Therefore, alternative non-parametric tests should be considered, such as the Mann-Whitney U test or Wilcoxon rank-sum test, which do not require normality assumptions and can handle non-independent samples.

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Answer:

hello

the answer for questions 5) is:

θ = 30°, R = 6 ft

Arc = CE = Rθ ----> CE = 30 × 6 = 180

and the answer for question 6) is:

square area = A²

big square area = 4 × 4 = 16

small square area = 2 × 2 = 4

circle area = πr²

big circle area = 3.14 × (2)² = 12.56

small circle area = 3.14 × (1)² = 3.14

area of the bigger shaded region = 16 - 12.56 = 3.44

area of the smaller shaded region = 4 - 3.14 = 0.86

Answer:

Number one is not reasonable

Answer:

A recursive formula always uses the preceding term to define the next term of the sequence. Sequences can have the same formula but because they start with a different number, they are different patterns.

Step-by-step explanation:

hope this helps

Answer:

o

0 F x>o v 0 cover the interval (-4,-3

The statement which is true about the graphed function is that F(x) > 0 over the interval (-∞, -4).

A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.

Given is a graph of a function.

The options contains the open interval (-∞, -3) and (-∞, -4).

It is clear that along this interval, the graph is situated above the X axis.

This means that the values of y is all greater than 0.

At x = -4, F(x) = 0

For all x < -4, F(x) > 0

So the correct statement is F(x) > 0 over the interval (-∞, -4).

Hence F(x) > 0 over the interval (-∞, -4).

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Answer:

112

Step-by-step explanation:

734/2 = 367

367-255= 112

Answer:

112

Step-by-step explanation:

734 ÷ 2 = 367

367 - 255 = 112

If the interest rate on treasury bills is lower than the federal funds rate, the quantity of overnight loans supplied increases and the demand for treasury bills decreases.

"Interest rate is the amount of interest paid for a particular period of time with respect to the amount lent, deposited, or borrowed."

"If the rate of interest on treasury bills is less than this will increase the demand of loans but decreases the demand of treasury bills. Treasury bills are known as short term debt instruments issued by the Government of India and currently issued in three tenors, that is, 91 days, 182 days, 364 days."

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To determine the number of solutions for the given system of equations:

6x + 3y = -12   (Equation 1)

y = -2x + 4     (Equation 2)

We can analyze the equations to see if they intersect at a single point (one solution), multiple points (infinite solutions), or if they are parallel and do not intersect (no solution).

First, let's rearrange Equation 2 to be in the form y = mx + b, where m is the slope and b is the y-intercept:

y = -2x + 4

Comparing the slopes of the two equations, we see that the slope of Equation 1 is 6/3 = 2, while the slope of Equation 2 is -2.

Since the slopes are different, the two lines represented by the equations are not parallel. Therefore, they will intersect at a single point.

Therefore, the system of equations has one solution.

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Calculating this expression will give us the amount the farmer needs to save annually over the 8-year period.

Given:

Payment required at the end of each year: P50,000

Number of years until the daughter starts college: 8

Interest rate: 7% (compounded annually)

We can calculate the annual savings using the formula for the present value of an ordinary annuity:

P = \dfrac{PMT \times (1 - (1 + r)^{-n}{r}

Where:

P = Present value (amount to be saved annually)

PMT = Payment amount (P50,000)

r = Interest rate per period (7% or 0.07)

n = Number of periods (8)

Let's substitute the given values into the formula:

\[ P = \dfrac{50,000 \times (1 - (1 + 0.07)^{-8}{0.07} \]

Calculating this expression will give us the amount the farmer needs to save annually over the 8-year period.

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Answer:

10 Km/h

Step-by-step explanation:

Let the speed of the container ship be y

The speed of the aircraft = y + 5

Next, we shall determine the time taken by the aircraft to travel 450 Km. This can be obtained as follow:

Speed of aircraft (Sₐ) = y + 5

Distance travelled (dₐ) = 450 Km

Time for aircraft (tₐ) =?

Speed = distance / time

Sₐ = dₐ / tₐ

y + 5 = 450 / tₐ

Cross multiply

(y + 5) × tₐ = 450

Divide both side by (y + 5)

tₐ = 450 / (y + 5)

Finally, we shall determine the speed of the carrier. This can be obtained as follow:

Speed of container ship (S꜀) = y

Distance travelled (d꜀) = 300 Km

Time for container ship (t꜀) = Time for aircraft (tₐ)

Time for aircraft (tₐ) = 450 / (y + 5)

t꜀ = tₐ

t꜀ = 450 / (y + 5)

Speed = distance / time

S꜀ = d꜀ / t꜀

y = 300 ÷ 450 / (y + 5)

y = 300 × (y + 5) / 450

y = (300y + 1500) / 450

Cross multiply

450y = 300y + 1500

Collect like terms

450y – 300y = 1500

150y = 1500

Divide both side by 150

y = 1500 / 150

y = 10 Km/h

Thus, the speed of the container ship is 10 Km/h.

Answer:

634 or it can be

O B.

The function for which the y values be the greatest for very large values of x is given by table B

An equation is said to be linear equation in two variables if it is written in the form of ax + by + c=0, where a, b & c are real numbers and the coefficients of x and y, i.e a and b respectively, are not equal to zero.

The linear equations in one variable is an equation which is expressed in the form of ax+b = 0, where a and b are two integers, and x is a variable and has only one solution

On a graph, a linear equation forms a straight line. On a graph, a nonlinear equation produces an S-curve, a bell curve, or another nonlinear shape.

Given data ,

Let the linear function be represented as A

Now , the value of A is

The slope of a linear function represents the rate of change of the function, which is the amount by which the function changes in the vertical direction (y-axis) for each unit change in the horizontal direction (x-axis).

If the slope of a linear function is larger, it means that the function is changing at a faster rate in the vertical direction for each unit change in the horizontal direction

Now , the slope of the function of table B is given by

m = 100

Hence , the table B will have greater rate of change

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Average speed of a body is the ratio of distance traveled by a body in the given time.

Average speed of a body is the ratio of distance traveled by a body in the given time.

Given information-

The given 2-column table with 3 rows is,

Column 1 is labeled time elapsed (hours) with entries-    2,       4,         7.

Column 2 is labeled Distance Run (miles) with entries- 13.5,   27.5, 48.5.

The distance ran by Larry from hour 2 to hour 4 is,

\(d=27.5-13.5\\d=14\)

Total time taken bay Larry  from hour 2 to hour 4 is,

\(t=4-2\\t=2\rm hr\)

Thus the average speed of Larry from hour 2 to hour 4 is,

\(s=\dfrac{d}{t} \\s=\dfrac{14}{2} \\s=7 \rm m/s\)

Hence,  the average speed of Larry from hour 2 to hour 4 is 7 m/s.

The distance ran by Larry from hour 4 to hour 7 is,

\(d=48.5-27.5\\d=21\)

Total time taken bay Larry  from hour 4 to hour 7 is,

\(t=7-4\\t=3\rm hr\)

Thus the average speed of Larry from hour 4 to hour 7 is,

\(s=\dfrac{d}{t} \\s=\dfrac{21}{3} \\s=7 \rm m/s\)

Hence,  the average speed of Larry from hour 4 to hour 7 is 7 m/s.

Hence

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Larry recorded his time as he ran. What was his  average speed from hour 2 to hour 4?

✔ 7 mph

What was his average speed from hour 4 to hour 7?

✔ 7 mph

Did he speed up or slow down?

✔ stayed the same

The area covered by the wallpaper will be 164.25 square feet.

We know the perimeter of any 2D figure is the sum of the lengths of all the sides except the circle and the area of a rectangle is the product of its length and width.

We know the area of a rectangle is (length×width).

Given, A wallpaper measures 9 feet by 18 1/4 feet.

Therefore, The area of the wallpaper will be,

= (9×73/4) square feet.

= 164.25 square feet.

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The characteristic equation for the recurrence relation is (r-1)(r-4)=0. This equation has two roots:

r=1 and r=4. Therefore, the general form of the solution is an = a1(1)n + a2(4)n. Therefore, the correct answer is A.

The recurrence relation can be written as an = an-1 + 4an-2. Substituting the general form of the solution into th

is equation, we get a1(1)n + a2(4)n = a1(1)n-1 + a2(4)n-1 + 4a1(1)n-2 + 4a2(4)n-2. Dividing both sides by 4n-2, we get (a1/4)(1)n-2 + a2(1)n-2 = (a1/4)(1)n-3 + a2(4)n-3 + a1(1)n-4 + a2(4)n-4. This equation holds for all n. Therefore, equating coefficients of like terms, we get a1/4 = a1/4, a2 = 4a2, a1 = a1/4, and a2 = 4a2. Solving these equations, we get a1 = a1/4 and a2 = 4a2.

Therfore, the general form of the solution is an = a1(1)n + a2(4)n.    

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The general form of the solutions of the recurring relation with the following characteristic equation is ( an=a1(1)n-a2(4)n.

The general form of the solutions of the recurrence relation with the characteristic equation (r-1)(r-4)=0 is a linear combination of the form an=a1(1)n+a2(4)n, where a1 and a2 are constants determined by the initial conditions of the recurrence relation.

This can be seen by factoring the characteristic equation into two linear factors: r-1=0 and r-4=0, which correspond to the two possible roots of the characteristic equation.

The solution to the recurrence relation is a linear combination of these two roots raised to the power of n, with the coefficients determined by the initial values of the sequence.

Therefore, the correct answer is A.

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The amount that would be Senja's taxable income would be = $38,700

This is the total income of an individual after the removal of discounts and exemptions from which such is expected to pay a certain percentage of tax.

The amount she earns a year = $46,200

Lat years total deductions = $2,900.

Deductions for business expenses = $5,000

Deductions for medical expenses = $2,500.

The total deductions for this year = $7,500

Therefore, the amount this year that is taxable income for Senja = $46,200 - $7,500 = $38,700

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The best interpretation of the statement "the chances of winning a prize are 1 out of 10" is that if many people buy a ticket, about 1 in 10 will win.

This statement means that for every 10 tickets sold, on average, only one ticket will win a prize. It does not guarantee that you will win a prize if you buy a single ticket or even several tickets. The probability of winning a prize remains the same for every ticket purchased. It is important to note that winning a prize in a lottery is largely a matter of luck, and the odds are always against the player. While buying more tickets may increase your chances of winning, it does not guarantee a win.

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This is true because a probability distribution is a mathematical function that provides the probabilities of occurrence of different possible outcomes in an experiment.

The area under the probability distribution is a measure of the probability of all the possible outcomes. Since the sum of all the probabilities of all the possible outcomes must be 1, the total area under the probability distribution must also be 1. This is because the probability of an event happening is the area under the curve of the probability distribution at that event. Thus, the total area under the probability distribution must always equal 1.

This is true because a probability distribution is a mathematical function that provides the probabilities of occurrence of different possible outcomes in an experiment.

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