Nadir and Jennifer Salazar are moving into a new apartment with a
monthly rent of $1,058. They must pay a security deposit of $523 and a
pet deposit of $291. According to their lease, they must also pay the first
and last month's rent up front. What will be the total move-in cost for
the Salazar's new apartment?

A t-shirt and a pair of shorts cost $29.75 together. jason paid $228.55 for 12 t-shirts and 5 shorts. Then ted pay for 2 t-shirts and 4 pairs of shorts is $59.4

A t-shirt and a pair of shorts cost $29.75 together.

jason paid $228.55 for 12 t-shirts and 5 shorts.

how much will ted pay for 2 t-shirts and 4 pairs of shorts

let T denote for t shirt and S denote for shorts

then T+ 2S=29.75

       12T+ 5S=228.55

solving these equation

multiply by 12 in 1 , we get

12T+ 24S= 357

12T+ 5S=228.55

substract these two equation we have

19S=128.45

S= 6.76

we can substitute in 1 we get

T + 13.52 =29.75

T=16.23

Hence , 2T + 4S = 32.46+27.04=59.4

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The correct answer is d. U.S. government purchases increase by $30,000; U.S. net exports decrease by $30,000; U.S. GNP increases by $30,000; and U.S. GDP is unaffected.

U.S. government purchases increase by $30,000; U.S. net exports decrease by $30,000; U.S. GNP increases by $30,000; and U.S. GDP is unaffected.

This is because the U.S. Air Force is paying a foreign citizen for their services, which counts as a U.S. government purchase. This will increase U.S. government purchases by $30,000.

                              However, since the payment is being made to a foreign citizen, it is not considered a part of U.S. net exports, which will decrease by $30,000. At the same time, the payment will increase U.S. GNP by $30,000, since it represents income earned by a U.S. citizen abroad.

Finally, since the payment does not represent any new production or economic activity within the United States, it will not affect U.S. GDP.

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Answer: \(46^{\circ}\)

Step-by-step explanation:

Given

Perpendicular corresponding to \(\angle x\) is 21 units

The hypotenuse is 29 units

Using trigonometry we can write

\(\Rightarrow \sin x=\dfrac{21}{29}\\\\\Rightarrow \sin x=0.7241\\\\\Rightarrow x=\sin^{-1}(0.7241)=46.39^{\circ}\approx 46^{\circ}\)

Option (d) is correct

Answer

Step-by-step explanation:

Yes, the random variable X has a binomial distribution. The number of trials n is 30. A binomial distribution follows the same pattern of successes and failure in a series of repeated trials (in this case, the rolling of a die). The number of successes and failures must be fixed. Since we are rolling a die 30 times and the number of times an odd number appears is fixed, then the random variable X has a binomial distribution.

The sum of the first ten terms of the sequence is approximately -22.17.

Let the first term of the sequence be a, and let the common ratio be r. Then the third term is ar², the fourth term is ar³, and the fifth term is ar⁴.

We are given:

ar² + ar³ = -12

ar² + ar⁴ = 60

ar³ + ar⁴ = 24

Subtracting the first equation from the second gives:

ar⁴ - ar³ = 72

Subtracting the first equation from the third gives:

ar⁴ -ar²= 36

Dividing these two equations gives:

r - 1/r = 2

Multiplying both sides by r gives:

r² - 1 = 2r

r² - 2r - 1 = 0

Using the quadratic formula, we find:

r = 1 + √2 or r= 1- √2

Since the terms of the sequence must be real numbers, we can discard the second solution. Therefore, the common ratio is:

r = 1 + √(2)

To find the first term a, we can use the equation:

ar² + ar³ = -12

Substituting r and simplifying, we get:

a = -12 / (3 + 2√(2))

So, The sum of the first ten terms of the sequence is:

a(1 - r¹⁰) / (1 - r)

=-22.1666... (rounded to the nearest hundredth)

Therefore, the sum of the first ten terms of the sequence is approximately -22.17.

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The partial derivatives of the function with respect to x and y are both zero at the critical point (0,0), which is a saddle point.  

The local maxima, local minima, and saddle points of the function f(x,y) = \(x^3 - 18xy y^3\), we need to take the partial derivatives of the function with respect to x and y and set them equal to zero.

First, we can find the critical points of the function by setting the partial derivatives equal to zero:

\(x^3 - 18xy y^3 = 0\)

Taking the partial derivative of \(x^3\) with respect to x, we get:

\(3x^2 = 18xy\)

Taking the partial derivative of \(y^3\) with respect to y, we get:

\(3y^2 = -18x\)

Now, we can set these equal to zero and solve for x and y:

\(3x^2 = 18xy\\x^2 = 6y\\3y^2 = -18x\\y^2 = -6x\)

Substituting these expressions for x and y into the previous equation, we get:

6y = 6y

y = 0

\(x^2 = 6(0)\\x^2 = 0\)

Therefore, the critical points of the function are (0,0), which correspond to a saddle point.

To check that this is a saddle point, we can calculate the Jacobian matrix of the function at this point:

J(0,0) = [3, 6]

The determinant of the Jacobian matrix is 3, which is positive. Therefore, the critical point (0,0) is a local minimum.

Since the critical point (0,0) is a saddle point, it is also a local maximum.

Next, we can find the partial derivatives of the function with respect to x and y at the critical point:

\(x^3 - 18xy y^3 = 0\)

\(3x^2 = 18xy\\3y^2 = -18x\)

At the critical point (0,0), we have:

x = 0

y = 0

The partial derivatives, we get:

0 = 18(0)y

y = 0

Substituting this value of y into the partial derivative of \(x^3\) with respect to x, we get:

0 = 0

Therefore, the partial derivatives of the function with respect to x and y are both zero at the critical point (0,0), which is a saddle point.  

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Given:

Principal value = $900

Rate of interest = 2% compounded continuously.

Time  = 12 years.

To find:

The amount in the account at the end of 12 years.

Solution:

If the interest compounded continuously, then the formula for amount :

\(A=Pe^{rt}\)

Where, P is principal, r is rate of interest, t is numbers of years.

Putting P=900, r=0.02 and t=12, we get

\(A=900e^{0.02(12)}\)

\(A=900e^{0.24}\)

\(A=1144.12423529\)

\(A\approx 1144.12\)

Therefore, the amount in the account at the end of 12 years is about $1144.12.

Answer:

True

Step-by-step explanation:

If AB = CD and CD = EF then AB = EF.

It's the transitive property. If two are equal to the same thing, they are equal to each other

In this triangle it is given that one angle if of 30⁰ and another one is of 90⁰

so By using ANGLE SUM PROPERTY we can solve it

so,

30⁰+ 90⁰ + 4x - 4⁰ = 180⁰(ASP)

120⁰ + 4x - 4 = 180⁰

4x - 4 = 60⁰

4x = 64

x = 16⁰

Hence solved

hope it help u

Answer:

She is 30

Explanation:

Because if you read it right it says "Emmett is 4 years older than Liam." Also you had a grammar error in it.

Spherical harmonics are an integral part of quantum mechanics. They describe the shape of the orbitals, which electrons occupy in atoms. Moreover, the spherical harmonics provide the angular distribution of a wave in spherical coordinates. In 3D, the spherical harmonics can be written as:

Ylm(θ, φ) = √(2l + 1)/(4π) * √[(l - m)!/(l + m)!] * Plm(cosθ) * e^(imφ)

Here, l and m are known as the angular quantum numbers. They define the shape and orientation of the orbital. Plm(cosθ) represents the associated Legendre polynomial, and e^(imφ) is the exponential function. The spherical harmonics have various forms, including:

Y1,1 = -Y1,-1 = 1/2 √(3/2π) sinθe^(iφ)

Y1,0 = 1/2 √(3/π)cosθ

Y2,2 = 1/4 √(15/2π)sin²θe^(2iφ)

Y2,1 = -Y2,-1 = 1/2 √(15/2π)sinθcosφ

Y2,0 = 1/4 √(5/π)(3cos²θ-1)

Y0,0 = 1/√(4π)

The spherical harmonics have various applications in physics, including quantum mechanics, electrodynamics, and acoustics. They play a crucial role in understanding the symmetry of various systems. Hence, the spherical harmonics are an essential mathematical tool in modern physics. Thus, this is how one can show another form for spherical harmonics.

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The measurement of ∠FDG is 122°        

The incenter of a triangle is the center of its inscribed circle which is the largest circle that will fit inside the triangle. This circle is also called an incircle of a triangle.

We have the following information available from the question is:

Point D is the incenter of triangle BCA.

∠FHG = 61°

We have to find the measure of 2FDG.

Now, According to the question:

By the Incentre of triangle:

The angle subtended by an arc of a circle at the center is double times the angle subtended by it any point of the remaining part of circle

∠FDG = 2 × FHG

            = 2 × 61

            = 122°

Hence, The measurement of ∠FDG is 122°

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For complete question to see the attachment.      

Answer:

1. y = -2x - 4

2. y = 3x + 2

3. Horizontal

Answer:

See below

Step-by-step explanation:

The probability that exactly five students among the 12 visiting Mexico will contract a stomach virus is approximately 0.2173 and the probability that more than two students among the 12 visiting Mexico will contract a stomach virus is approximately 0.4866.

What is probability?

Probability is a branch of mathematics that deals with quantifying the likelihood or chance of an event occurring.

Probability that exactly five students contract a stomach virus:

Using the binomial probability formula, we have:

\(P(X = 5) = (12C5) * (0.23^5) * (0.77^7)\)

\(P(X = 5) = (792) * (0.23^5) * (0.77^7)\)

P(X = 5) ≈ 0.2173 (rounded to four decimal places)

Therefore, the probability that exactly five students among the 12 visiting Mexico will contract a stomach virus is approximately 0.2173.

Probability that more than two students contract a stomach virus:

We need to calculate the probabilities of three, four, and five students contracting a stomach virus and then sum them up.

P(X > 2) = P(X = 3) + P(X = 4) + P(X = 5)

Using the binomial probability formula for each case:

\(P(X = 3) = (12C3) * (0.23^3) * (0.77^9)\\\\P(X = 4) = (12C4) * (0.23^4) * (0.77^8)\)

P(X = 5) ≈ 0.2173 (calculated previously)

Now, let's calculate each probability and sum them up:

P(X > 2) = P(X = 3) + P(X = 4) + P(X = 5)

\(P(X > 2) = (12C3) * (0.23^3) * (0.77^9) + (12C4) * (0.23^4) * (0.77^8) + 0.2173\)

P(X > 2) ≈ 0.4866 (rounded to four decimal places)

Therefore, the probability that more than two students among the 12 visiting Mexico will contract a stomach virus is approximately 0.4866.

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Answer:

The x intercept is (-2,0)

the y intercept is (0,4)

Answer: A fraction where the denominator (bottom number) is larger than the numerator (top number). Examples: \(\frac{3}{7}\), \(\frac{15}{39}\), \(\frac{42}{50}\)

Step-by-step explanation:

The correlation between the two scores can provide evidence for reliability. Reliability refers to the consistency or stability of a measurement tool.

If the new test produces similar scores for the same individuals when taken at two different points in time, it suggests that the test has good test-retest reliability. A high correlation indicates a strong positive relationship between the two measurements, suggesting that the test is reliable and produces consistent results.

However, it's important to note that the correlation between the scores alone cannot provide evidence for other concepts like validity, restriction of range, or theory verification. Validity refers to the extent to which a test measures what it is intended to measure. To establish validity, additional evidence such as content validity, criterion-related validity, or construct validity is required. Restriction of range refers to a limitation in the range of scores for the sample being studied, which may impact the generalizability of the findings. The correlation between the two scores does not directly provide evidence for restriction of range.

Theory verification involves testing hypotheses or predictions derived from a specific theory. The correlation between the test scores can contribute to theory verification if the theory predicts a certain relationship or pattern between the scores. While the correlation between the two scores can provide evidence for the reliability of the new test, additional evidence is needed to establish validity, explore restriction of range, or support theory verification.

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Answer:

x = -5

Step-by-step explanation:

f(x) = \(\frac{x+5}{4}\)

Okay, so in order to find the zeroes of the equation, we need to find the values of x for which f(x) = 0.

\(\frac{x+5}{4}\) = 0

We can start by multiplying both sides by 4.  Anything multiplied by 0 equals 0, so we have the following:

x + 5 = 0

Now, subtracting 5 from both sides in order to isolate x, we have:

x = -5

To check our work, let's substitute -5 into our equation:

f(-5) = \(\frac{-5+5}{4}\) = \(\frac{0}{4}\)

0 divided by anything equals 0, so f(-5) = 0.

The probability of picking a marble that is not blue is 5/6

The proportions of the balls are given as:

\(Red = \frac 12\)

\(White = \frac 13\)

\(Blue = 6\)

The probability of picking a ball that is not blue is:

\(P(Not\ Blue) = P(Red) + P(White)\)

So, we have:

\(P(Not\ Blue) = \frac 12 + \frac 13\)

Rewrite the fractions as equivalent fractions

\(P(Not\ Blue) = \frac 36 + \frac 26\)

Take LCM

\(P(Not\ Blue) = \frac {3 + 2}6\\\)

Add 3 and 2

\(P(Not\ Blue) = \frac {5}6\)

Hence, the probability of picking a marble that is not blue is 5/6

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Answer:

A. Pontiac

Step-by-step explanation:

Camry's mileage = Miles travelled / gallons of fuel used

= 196 / 11

= 17.82

Pontiacs mileage = Miles travelled / gallons of fuel used

= 220 / 13

= 16.92

Bluck's mileage = Miles travelled / gallons of fuel used

= 356 / 15

= 22.25

Toyotas mileage = Miles travelled / gallons of fuel used

= 583 / 21

= 27.76

The car with the best mileage is Pontiac

Answer:

Recursive Formula: \(a_{n} =7(a_{n-1} )\)

Explicit Formula: \(a_{n}= 2*7^{n-1}\)

We have that

The Matrix A  is a singular square matrix and because its determinate is zero. No the Matrix A is inveritible because its determinant is not equal to zero.

Option E is correct

From the question we are Given the matrix:

\(A= \begin{bmatrix}6 & -4 \\-9 & 6\end{bmatrix}\)

Invertible Matrix

In linear algebra, an n-by-n square matrix A is called invertible if there exists an n-by-n square matrix B such that

\(AB=BA=I_n\)  

where In denotes the n-by-n identity matrix and the multiplication used is ordinary matrix multiplication.

Invertible Matrix characteristics does not apply to singular square matrix, A square matrix is singular if and only if its determinant is zero

Generally the determinate of Matrix A is given as

\(A= \begin{bmatrix}6 & -4 \\-9 & 6\end{bmatrix}\)

\(D=(6*6)-(-4*-9)\\\\D=0\)

In conclusion

The Matrix A is a singular square matrix and because its determinate is zero.

So, No the Matrix A is inveritible because its determinant is not equal to zero.

Option E is correct

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An equation such as y = 3x + 5 proves the claim that the solution to the given system of equations is unique to the equations y = 5x-2 and y = 1/2x +7 incorrect.

Solutions of linear equations in two variables are explained as follows in the equations:

a₁x + b₁y + c₁ = 0

a₂x + b₂y + c₂ = 0

Thus, to disprove the claim made by Juan we have to form another equation that satisfies the third condition.

And one of those equations can be y = 3x + 5.

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Answer:

6 cups

Step-by-step explanation:

hope this helps!

Answer:

No.

In a right triangle one of the angles is right angle i.e 90° and, therefore, sum of other two angles will always be equal to 90°, which means the other two angles will be acute angles

Answer:

301.7 cm

Step-by-step explanation:

Given,

Height of cone (h)=8cm

base radius (r)=6cm

Volume of the cone (V)=

3

1

πr

2

h

=

3

1

×

7

22

×6×6×8

=

7

2112

=301.7cm

3

Hence, volume of the cone =301.7cm

3

Answer:

402.1402.1 cm

Step-by-step explanation

height = 6cm

Radius= 8cm

Answer:

The left side

182

does not equal to the right side

450

, which means that the given statement is false.

False

Step-by-step explanation:

mark as brainliest!!

Answer= 268

Reason:-

Let The Missing Number be x

x+308-126=450

x+182= 450

x=450-182

x=268

Answer:

You dreamt

Step-by-step explanation:

After you dreamt you fell with a thump and broke your ankle (I'm sorry I'm not actually sure-)

Answer:

Uranus Gravitational pull

Step-by-step explanation: