Suzy spent $400 of her $1000 Budget for college what percentage has Suzy spent thusfar?

Step-by-step explanation:

Well, the opposite of a number is the same number with the opposite sign. For example, the opposite of -1 is 1.

So, say we have an equation where we're subtracting a number, for example, 2-1, which obviously equals 1. Now, if we add the opposite of 1 to 2, we get the equation 2+(-1) which still equals 1.

I hope this helps!

Answer:

x = 12    y = 24     z = 12\(\sqrt{3}\)

Step-by-step explanation:

you are correct.  x = 12

The dotted line has a length of 12 also

The dotted line is the shorter leg of the 30-60-90 triangle.

So, z = 12\(\sqrt{3}\) and y = 24

Answer:

5y-31=29

y=12

7x-17=39

x=7

PR=2×(6x-2y)=18

PT=9

The surface area of the regular quadrilateral prism is 912 centimeters squared.

The total areas of a regular quadrilateral prism's four lateral faces make up the prism's lateral area. The ratio of the prism's height to its base length determines the size of each lateral face.

The lateral area of a regular quadrilateral prism is given by the formula:

A_L = 4 * h * l

Where

In this case, the lateral area is 624 centimeters squared and the height is 13 centimeters. So, the length of the base is:

l = A_L / 4 * h = 624 / 4 * 13 = 12 centimeters

The sum of the surfaces of a regular quadrilateral prism's two bases and two lateral faces is known as the surface area. Each base's area is equal to a square of its length. The following formula determines a regular quadrilateral prism's surface area:

A_S = 2 * l^2 + 4 * h * l

In this case, the length of the base is 12 centimeters and the height is 13 centimeters. So, the surface area is:

\(A_S = 2 * 12^2 + 4 * 13 * 12 = 288 + 624 = 912 centimeters square\)

Therefore, the surface area of the regular quadrilateral prism is 912 centimeters squared.

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The correct answer is A. The standard error of the sample proportion will become larger as the sample size increases.

The standard error is a measure of the variability or uncertainty associated with an estimate. In the case of the sample proportion, it measures the spread or variability in the proportion of successes observed in the sample compared to the true population proportion.

As the sample size increases, the standard error decreases, indicating greater precision in estimating the true population proportion. This is because a larger sample provides more information and reduces the impact of sampling variability.

On the other hand, options B, C, and D are incorrect. The standard error is not affected by the population proportion itself but rather by the sample size. The population proportion approaching 0.50, 1.00, or 0 does not directly impact the standard error, although it may affect other measures such as the margin of error or confidence intervals. The primary factor influencing the standard error is the sample size, with larger samples leading to smaller standard errors.

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Answer:

460

Step-by-step explanation:

138+138+92+92=460

To solve this problem, we need to use the concepts of orbital mechanics and gravitational potential energy.

Part A

The velocity of the satellite in the inner circular orbit is given by the equation:

v = sqrt(GM/r)

where G is the gravitational constant, M is the mass of the earth, and r is the radius of the orbit. Substituting the given values, we get:

v = sqrt(6.674 x 10^-11 N*m^2/kg^2 * 5.97 x 10^24 kg / (260 x 10^3 m))

v = 7760 m/s

Part B

The velocity of the satellite at the low point of the elliptical orbit can be found using the equation:

v = sqrt(2GM/r1 - 2GM/r2)

where r1 and r2 are the radii of the inner and outer circular orbits, respectively. Substituting the given values, we get:

v = sqrt(2 * 6.674 x 10^-11 Nm^2/kg^2 * 5.97 x 10^24 kg / (260 x 10^3 m) - 2 * 6.674 x 10^-11 Nm^2/kg^2 * 5.97 x 10^24 kg / (35,900 x 10^3 m))

v = 1.004 x 10^4 m/s

Part C

The work done by the rocket motor to transfer the satellite from the circular orbit to the elliptical orbit is given by the difference in gravitational potential energy between the two orbits. This can be calculated using the equation:

W = mgh = m * G * M/r

where m is the mass of the satellite, g is the acceleration due to gravity, h is the height of the orbit above the earth's surface, and r is the radius of the orbit. Substituting the given values, we get:

W = 1000 kg * 6.674 x 10^-11 Nm^2/kg^2 * 5.97 x 10^24 kg / (260 x 10^3 m) - 1000 kg * 6.674 x 10^-11 Nm^2/kg^2 * 5.97 x 10^24 kg / (35,900 x 10^3 m)

W = 3.80 x 10^9 J

Part D

The velocity of the satellite at the high point of the elliptical orbit can be found using the equation:

v = sqrt(GM/r1 + GM/r2)

Substituting the given values, we get:

v = sqrt(6.674 x 10^-11 Nm^2/kg^2 * 5.97 x 10^24 kg / (260 x 10^3 m) + 6.674 x 10^-11 Nm^2/kg^2 * 5.97 x 10^24 kg / (35,900 x 10^3 m))

v = 2.24 x 10^4 m/s

Part E

The velocity of the satellite in the outer circular orbit can be found using the equation in Part A, with the radius of the orbit set to 35,900 km. This gives:

v = sqrt(6.674 x 10^-11 N*m^2/kg^2 * 5.97 x 10^24 kg / (35,900 x 10^3 m)) v = 2.74 x 10^3 m/s

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The value of the function at f(4) is 14.

When a function is defined using the notation, the set of rational data, or, is implicitly taken into account to be the function's range and small-space requirement. When a function is defined, the domain and codomain are not usually explicitly stated; one may just be aware that the function's domain is a subset of a larger set without having to perform any (potentially challenging) computations.

the given function is

f (x) = 3x + 2

f(4) = 3(4) +2

f(4) = 14

The area is assumed to be the largest subset of the set if the formula may be evaluated at any real number. In mathematical analysis, the phrase "a function from X to Y" is frequently used to describe a function that has a permissible subset of X as its domain.

The value of the function at f(4) is 14.

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THIS IS THE COMPLETE QUESTION BELOW;

Each day that a library book is kept past its due date, a $0.30 fee is charged at midnight. Which ordered pair is a viable solution if x represents the number of days that a library book is late and y represents the total fee?

Answers:

(–3, –0.90)

(–2.5, –0.75)

(4.5, 1.35)

(8, 2.40)

Answer

(8, 2.40)

Step by step Explanation

✓We can denote the number of days library book is late = X,

✓We can denote the the total fee = Y.

We were told $0.30 fee is charged at midnight.

Then for lateness for just 1day,the charged fees= 1day ×

$0.30

For X number of days the charged fees= Xday ×$0.30

Therefore, total charge for lateness for X number of days late = Y.

Then can be expressed as

Y= 0.30 * X...............eqn(1)

We can now test the option one after the other

FIRST OPTION (-3, -0.9)

Here we should know the number of days cannot be negative so there is no need of testing in the equation (1)

SECOND OPTION (-2.5, -0.75)

Here we should know the number of days cannot be negative so there is no need of testing in the equation (1)

THIRD OPTION(4.5, 1.35)

here the number of days will definitely be a whole number not 4.5, it's either

charge for 4 days or 5 days.

FORTH OPTION (8, 2.40)

this should be correct because the number of days is whole number and not negative, then if we test it from our equation it satisfy the equation too

Y= 0.30 * X...............eqn(1)

Y= 0.30 * X

2.40= 0.30 * 8

2.40 = 2.40.

Therefore, (8, 2.40) is the answer

Answer: its t over 11. T/11

Step-by-step explanation:

I took the assignment

Answer:

b

Step-by-step explanation:

a.) The area and perimeter of the both spaces can be calculated using the Pythagorean formula to determine the length of the missing side

b.) The area of each play space design would be=44ft²

c.) The perimeter of play space=31.6ft

D.) The design Emily and Joe should choose would be= The design that they should use would be the first design.

To calculate the missing length of the triangular play space, the formula for Pythagorean theorem should be used and it's given as follows:

C² = a²+b²

where;

a= 11ft

b= 8ft

c²= 11²+8²

= 121+64

= 185

c=√185

= 12.6

The area of the triangular play space can be calculated using the formula such as;

= 1/2base ×height

For the first triangular space:

= 1/2 × 11×8

= 44ft²

The perimeter= a+b+c

= 11+8+12.6

= 31.6ft.

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Answer: 38.2°

Step-by-step explanation:

\(\dfrac{\sin 27^o}{11}=\dfrac{\sin x}{15}\\\\\\\text{Multiply both sides by 15:}\\\\\dfrac{15\sin 27^o}{11}=\sin x\\\\\\\text{Apply arcsin to both sides:}\\\\\sin^{-1}\bigg(\dfrac{15\sin 27^o}{11}\bigg)=x\\\\\\\text{Use a calculator (make sure it is set to DEG and not rad):}\\\\38.2488=x\\\\\\\text{Round to the nearest tenth:}\\\\\large\boxed{x=38.2}\)

Answer:

z=4x

=14y10

Step-by-step explanation:

this is the answer

a) the probability that a randomly selected Cobalt gets more than 34 MPG is approximately 0.7149.

b) the probability that the mean MPG exceeds 34 MPG for a sample of 10 Cobalts is approximately 0.035.

c) the probability that the mean MPG exceeds 34 MPG for a sample of 20 Cobalts is approximately 0.005.

a) To find the probability that a randomly selected Cobalt gets more than 34 MPG, we need to calculate the area under the normal distribution curve to the right of 34 MPG.

Using the z-score formula, we can convert the MPG value to a standard score (z-score) using the formula:

z = (x - μ) / σ,

where x is the given value (34 MPG), μ is the mean (32 MPG), and σ is the standard deviation (3.5 MPG).

Calculating the z-score:

z = (34 - 32) / 3.5 = 0.57

Using a standard normal distribution table or a statistical calculator, we can find the area to the right of the z-score 0.57.

Let's assume the standard normal distribution table gives us a value of 0.2851 for z = 0.57.

Since the total area under the normal curve is 1, the probability of getting more than 34 MPG is:

P(X > 34) = 1 - P(X ≤ 34) = 1 - 0.2851 = 0.7149

Therefore, the probability that a randomly selected Cobalt gets more than 34 MPG is approximately 0.7149.

b) When selecting a sample of 10 Cobalts, the mean MPG of the sample (\(\bar{X}\)) follows a normal distribution with the same mean (32 MPG) and a standard deviation (σ) equal to the population standard deviation (3.5 MPG) divided by the square root of the sample size (√10).

σ( \(\bar{X}\) ) = σ / √n = 3.5 / √10 ≈ 1.107

We want to find the probability that the mean MPG exceeds 34 MPG for the sample of 10 Cobalts. In other words, we need to find P(\(\bar{X}\) > 34).

We can again convert the value of 34 MPG to a z-score:

z = (34 - 32) / 1.107 ≈ 1.805

Using a standard normal distribution table or a statistical calculator, we find the area to the right of the z-score 1.805.

Let's assume the standard normal distribution table gives us a value of 0.035 for z = 1.805.

Therefore, the probability that the mean MPG exceeds 34 MPG for a sample of 10 Cobalts is approximately 0.035.

c) When selecting a sample of 20 Cobalts, the mean MPG of the sample (\(\bar{X}\)) follows a normal distribution with the same mean (32 MPG) and a standard deviation (σ) equal to the population standard deviation (3.5 MPG) divided by the square root of the sample size (√20).

σ( \(\bar{X}\) ) = σ / √n = 3.5 / √20 ≈ 0.78

We want to find the probability that the mean MPG exceeds 34 MPG for the sample of 20 Cobalts. In other words, we need to find P(\(\bar{X}\) > 34).

Similarly, we can convert the value of 34 MPG to a z-score:

z = (34 - 32) / 0.78 ≈ 2.564

Using a standard normal distribution table or a statistical calculator, we find the area to the right of the z-score 2.564.

Assuming the standard normal distribution table gives us a value of 0.005 for z = 2.564.

Therefore, the probability that the mean MPG exceeds 34 MPG for a sample of 20 Cobalts is approximately 0.005.

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The number of recipes she would have mastered after 10 weeks is; 31 recipes

The formula for the nth term of an arithmetic sequence is;

aₙ = a + (n - 1)d

where;

First term is a

Common difference is d

n is nth term

We are given;

First term; a = 13

Common difference; d = 2

Thus, after the first ten weeks, number of recipes she would have mastered is;

a₁₀ = 13 + (10 - 1)2

a₁₀ = 31

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2. Using proportion, the value of x = 38, the length of FC = 36 in.

3. Applying the angle bisection theorem, the value of x = 13. The length of CD = 39 cm.

The Angle Bisector Theorem states that in a triangle, an angle bisector divides the opposite side into segments that are proportional to the lengths of the other two sides of the triangle.

2. The proportion we would set up to find x is:

(x - 2) / 4 = 27 / 3

Solve for x:

3 * (x - 2) = 4 * 27

3x - 6 = 108

3x = 108 + 6

Simplifying:

3x = 114

x = 114 / 3

x = 38

Length of FC = x - 2 = 38 - 2

FC = 36 in.

3. The proportion we would set up to find x based on the angle bisector theorem is:

13 / 3x = 7 / (2x - 5)

Cross multiply:

13 * (2x - 5) = 7 * 3x

26x - 65 = 21x

26x - 21x - 65 = 0

5x - 65 = 0

5x = 65

x = 65 / 5

x = 13

Length of CD = 3x = 3(13)

CD = 39 cm

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To find the inverse of a Laplace transform, one typically uses partial fraction decomposition and partial fraction expansion. Partial fraction decomposition involves breaking down a Laplace transformed function into simpler terms, each with a corresponding inverse Laplace transform. Partial fraction expansion involves using known formulas to find the inverse Laplace transform of these simpler terms.

The "inverse of a Laplace transform" is a mathematical operation that transforms a Laplace transformed function back into its original time domain form. It is a useful tool for solving linear differential equations, as well as for analyzing signals and systems.

The process of finding the inverse of a Laplace transform can also involve using convolution theorem, which states that the inverse Laplace transform of the product of two Laplace transformed functions is equal to the convolution of their respective inverse Laplace transforms. This theorem can be useful for solving systems of differential equations and for understanding the response of linear systems to different inputs.

It's also important to note that not all Laplace transformed functions have an inverse Laplace transform, as some functions may have poles in the right half of the complex plane, meaning they do not converge. In such cases, the inverse of a Laplace transform cannot be found using these methods.

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The standard form for the given expression is 3x³ - 3x² - 2x - 5.

A polynomial can be written in standard form by writing its terms in descending order of their powers and the constant terms comes at the end.

The given polynomial is (x - 1)(3x² + 7x + 5).

It can be written in standard form as follows,

(x - 1)(3x² + 7x + 5)

= x(3x² + 7x + 5) - 1(3x² + 7x + 5)

= 3x³ + 7x² + 5x - 3x² - 7x - 5

= 3x³ - 3x² - 2x - 5

Hence, the given expression can be written in standard form as,

3x³ - 3x² - 2x - 5

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Answer: x+42x-2

Step-by-step explanation:

Answer: Part A: 4x    Part B: 4x

Step-by-step explanation: you have to add them

The equation  x² +y² = 15 is symmetry concerning both axis and the origin.

since  the given equation is : x² +y² = 15 ,Now, for the symmetry in the x-axis, we replace the y  with - y, and we get

=>x² +(-y)² = 15

=>x² +y² = 15 ,Here we can see we get the same equation, so its  symmetry in the axis .for the symmetry in the y-axis, we replace x with - x , and we get

=>(-x)² +y² = 15

=>x² +y² = 15, here we get the same equation even after replacing the value of y  so  it is symmetry in the x-axis .Now for the symmetry on the origin, we replace the values of (x,y) with (-x,-y), and we  get

=>(-x)² +(-y)² = 15

=>x² +y² = 15, here we are getting the same  equation after the substituting so it is symmetry in the origin.

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Answer:

x=7

Step-by-step explanation:

97 = 10x + 27

97 - 27 = 10x

70 = 10x

70/10 = x

7=x

Answer:

X=7

HOPE THIS HELPS

-Todo ❤️

Step-by-step explanation:

97=10x+27

-27. -27

70=10x

/10. /10

X=7

The taxicab distance formula between two points (x1, y1) and (x2, y2) is expressed as

distance = Ix1 - x2I + Iy1 - y2I

From the information given,

x1 = 7, y1 = 5

x2 = 8, y2 = 6

Distance = I7 - 8I + I5 - 6)

Distance = I- 1I + I- 1I = 1 + 1

Distance = 2

Answer:

what grade are u in

Step-by-step explanation:

bc I have no idea what u are doing

The correct explicit rule is f(n) = 50 + 30n

An explicit rule is a mathematical formula that directly gives the n-th term of a sequence or the value of a function for a given input, without the need to find other terms first. It can be expressed using variables, constants, and operations such as addition, subtraction, multiplication, and division.

To determine who is correct, we need to first understand the meaning of the variables in the explicit rules.

Let n be the number of days the car is rented for.

Let f(n) be the cost of renting the car for n days.

The deposit is a one-time charge and is not dependent on the number of days rented. Therefore, the constant term in the explicit rule should be 50.

Now, for each day rented, the cost is $30. This means that the cost for n days should be 30n.

So the correct explicit rule is:

f(n) = 50 + 30n

Therefore, Kevin is correct with the explicit rule f(n) = 50 + 30(n-1). This is because we subtract 1 from n since the deposit is charged only once at the beginning and is not included in the daily rate.

Suzanne's explicit rule, f(n) = 80 + 30(n-1), adds an extra $30 to the cost of renting the car, which is not correct.

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Answer:

7396

Explanation:

(171 + 897) + 6,328 = 7396

Answer:

Step-by-step explanation:

yes

The correct answer is A. Center: (7, -3); Radius: 3.5 shows the correct center and radius for the circle with this equation.

To determine the center and radius of the circle with the given equation, we need to rewrite the equation in the standard form of a circle: (x - h)^2 + (y - k)^2 = r^2, where (h, k) represents the center of the circle and r represents the radius.

Let's complete the square to rewrite the equation:

x^2 - 14x + y^2 + 6y + 45.75 = 0

To complete the square for the x-terms, we need to add (14/2)^2 = 49 to both sides. To complete the square for the y-terms, we need to add (6/2)^2 = 9 to both sides. However, we also need to subtract 45.75 to maintain the equality:

x^2 - 14x + 49 + y^2 + 6y + 9 - 45.75 = 49 + 9 - 45.75

Simplifying:

(x^2 - 14x + 49) + (y^2 + 6y + 9) = 12.25

(x - 7)^2 + (y + 3)^2 = 12.25

Comparing this equation to the standard form, we can see that the center of the circle is (7, -3) and the radius is the square root of 12.25, which is 3.5.

Therefore, the correct answer is A. Center: (7, -3); Radius: 3.5.

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Answer

4= 55 and 3/4 5= 4 2/5    6= 6 and 1/2

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

I did #4 for you:

\(11\frac{8}{9}+5\frac{1}{2}\)

\(11+5+\frac{8}{9}+\frac{1}{2}\)

\(16+\frac{16}{18}+\frac{9}{18}\)

\(16+\frac{24}{18}\)

\(16+\frac{4}{3}\)

\(16+1+\frac{1}{3}\)

\(17\frac{1}{3}\)

It really helps to break up the mixed numbers into parts and change the fractions so they have the same denominator. Try to do #5 and #6 the same way I did.

Answer

4: 22 degrees

3: (9,2)

Step-by-step explanation: