how do you find x and y​

Answer:

80

Step-by-step explanation:

profit = revenue - expenses

revenue = $15 per hour = $15 * number of hours (n) = $15 * n

expenses = $490 + $45 + $65 = $600

we want profit to be 600 or more

15 * n - 600 = profit

profit ≥ 600

15 * n - 600 ≥ 600

add 600 to both sides to isolate the variable and its coefficient

15 * n ≥ 1200

divide both sides by 15 to isolate the variable

n ≥ 80

Jose must therefore work 80 or more hours, for a minimum of 80

In Problem 4, there are (i) 495 different possible orders for the group when they collectively order four different dishes to share, and (ii) 20,736 different possible orders for the group when each individual orders a main course.

(i) To find the number of ways to order four different dishes out of 12, we use combinations. This is calculated as C(12,4) = 12! / (4! * (12-4)!), which equals 495 possible orders.

(ii) Since there are 12 dishes and each of the four friends can choose any dish, we use permutations. The number of possible orders is 12⁴, which equals 20,736 different orders.

For passwords, there are (i) 306,380,448 passwords of length 7 with at least one digit, and (ii) 282,475,249 passwords of length 7 with at least one digit and one letter.

(i) There are 10 digits and 26 lowercase letters. Total possibilities are (10+26)⁷. Subtract the number of all-letter passwords: 26^7. Result is (36⁷) - (26⁷) = 306,380,448.

(ii) Subtract the number of all-digit passwords from the previous result: 306,380,448 - (10⁷) = 282,475,249 different passwords.

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The solution to the initial value problem y'' + 2y' + 10y = 0, y(0) = 4, y'(0) = -3 is:

\(y(t) = e^(-t) * (4 * cos(3t) - 3 * sin(3t))\)

To solve the given initial value problem, we'll solve the differential equation y'' + 2y' + 10y = 0 and then apply the initial conditions y(0) = 4 and y'(0) = -3.

First, let's find the characteristic equation associated with the given differential equation by assuming a solution of the form \(y = e^(rt)\):

\(r^2 + 2r + 10 = 0\)

Using the quadratic formula, we can find the roots of the characteristic equation:

\(r = (-2 ± √(2^2 - 4110)) / (2*1)\)

r = (-2 ± √(-36)) / 2

r = (-2 ± 6i) / 2

r = -1 ± 3i

The roots are complex conjugates, -1 + 3i and -1 - 3i.

Therefore, the general solution of the differential equation is:

\(y(t) = e^(-t) * (c1 * cos(3t) + c2 * sin(3t))\)

Next, we'll apply the initial conditions to find the values of c1 and c2.

Given y(0) = 4:

\(4 = e^(0) * (c1 * cos(0) + c2 * sin(0))\)

4 = c1

Given y'(0) = -3:

\(-3 = -e^(0) * (c1 * sin(0) + c2 * cos(0))\)

-3 = -c2

Therefore, we have c1 = 4 and c2 = 3.

Substituting these values back into the general solution, we have:

\(y(t) = e^(-t) * (4 * cos(3t) - 3 * sin(3t))\)

So, the solution to the initial value problem y'' + 2y' + 10y = 0, y(0) = 4, y'(0) = -3 is:

\(y(t) = e^(-t) * (4 * cos(3t) - 3 * sin(3t))\)

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Answer:3.28 yards

Step-by-step explanation:

Given

length of fence \(L=3\ m\)

width \(w=2\ cm\ or\ 0.02\ m\)

We know, \(1\ m=1.093\ yard\)

\(\therefore 3\ m=3\times 1.093=3.28\ yards\)

he requires 3.28 yards to build the fence

The measure of the missing angle in the quadrilateral is given as follows:

x = 129º.

The sum of the measures of the internal angles of a polygon of n sides is given by the equation presented as follows:

S = (n - 2) x 180º.

The number of sides of a quadrilateral is given as follows:

n = 4.

Then the sum of the measures of the internal angles of the quadrilateral is of:

S = (4 - 2) x 180º

S = 360º.

From the image given at the end of the answer, the angle measures are given as follows:

Then the measure of the missing angle x is obtained as follows:

71 + 48 + 112 + x = 360

x = 360 - (71 + 48 + 112)

x = 129º.

The problem is given by the image shown at the end of the answer.

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Answer:

\(\textsf {1 percent}\)

Step-by-step explanation:

\(\textsf {Simple Interest Formula :}\)

\(\mathsf {I = P \times r \times t}\)

\(\textsf {Given :}\)

\(\textsf {I = 101 - 100 = 1}\)

\(\textsf {P = 100}\)

\(\textsf {t = 1}\)

\(\textsf {Solving :}\)

\(\mathsf {1 = 100 \times 1 \times r}\)

\(\mathsf {r = \frac{1}{100}}\)

\(\mathsf {r = 0.01}\)

\(\textsf {r = 1 percent}\)

Let's see

Total interest earned=101-100=$1

Now

Answer:

Urvi multiplied with the reciprocal of the dividend instead of the reciprocal of the divisor.

Step-by-step explanation:

Urvi solved a fraction division problem using the rule "multiply by the reciprocal." Her work is shown below. StartFraction 14 divided by StartFraction 2 Over 7 EndFraction. StartFraction 1 Over 14 EndFraction times StartFraction 2 Over 7 EndFraction = StartFraction 2 Over 98 EndFraction or StartFraction 1 Over 49 EndFraction Which is the most accurate description of Urvi's work? Urvi solved the problem correctly. Urvi multiplied the dividend by the divisor instead of finding the reciprocal. Urvi multiplied the denominators instead of finding a common denominator. Urvi multiplied with the reciprocal of the dividend instead of the reciprocal of the divisor.

Urvi's work

= 14 ÷ 2/7

= 1/14 × 2/7

= 2/98

= 1/ 49

Correct workings

14 ÷ 2/7

= 14 × 7/2

= 98/2

= 49

The correct answer is

Urvi multiplied with the reciprocal of the dividend instead of the reciprocal of the divisor.

Answer:Without a good credit score and history, the experts say, it's more difficult to qualify for a mortgage or car loan – and more expensive, too, because you won't get the best interest rates. In many states, bad credit can even raise your insurance premiums, cost you a rental apartment, or make it harder to get hired.

Step-by-step explanation:

In the hypothesis testing, the null and alternative for the claim that mean iq of statistics teachers is greater than 140, are

\(H_0 :\mu \leqslant 140\)

\(H_a : \mu > 140\)

and the alternative hypothesis is the hypothesis of this claim.

Hypothesis testing in statistics is a process where you to test the results of a survey or experiment based sample to look if you have meaningful results. It is based on hypothesis. The null hypothesis of a test always shows no effect or no relationship between variables, while the alternative hypothesis states your research prediction of an effect or relationship. The null hypothesis is the fact that should be tested and the alternative is everything else.

We have mean iq of statistics teachers is greater than 140. We have to identify the hypothesis for which this claim is true. Now, the null and alternative hypothesis are defined as in this case, \(H_0 :\mu ≤ 140\)

\(H_a : \mu > 140\)

where μ --> mean iq of statistics

From above, the hypothesis which identify the claim that mean iq of statistics teachers is greater than 140 is alternative hypothesis. Hence, the required answer is alternative hypothesis.

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Mathematically, the claim can be expressed as follows:

µ > 140

where µ represents the population mean IQ score of statistics teachers.

The null hypothesis (H0) is that the population mean IQ score of statistics teachers is not greater than 140:

H0: µ ≤ 140

The alternative hypothesis (Ha) is that the population mean IQ score of statistics teachers is greater than 140:

Ha: µ > 140

Note that the claim corresponds to the alternative hypothesis, Ha.

Null hypothesis (H0): The mean daily attendance at the park is μ = people.

Alternative hypothesis (Ha): The mean daily attendance at the park is not equal to μ ≠ people.

The claim is represented by the alternative hypothesis (Ha), which states that the mean daily attendance at the park is different from the claimed value of people.

Note that the value of μ is not specified in the claim, but it is assumed to be equal to people. The null hypothesis (H0) reflects this assumption, and the alternative hypothesis (Ha) challenges it by stating that the true mean attendance may be different from this value.

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cosine = adj/hypt.

inverse of cosine = arccosine

arccosine(6/22) = 74.34

Answer:

x=2

Step-by-step explanation:

<=> 3x+12-2=16

<=> 3x+10=16

<=> 3x=6

<=> x=2

The interest earned increases with higher principal amounts, higher interest rates, and longer time periods.

Principal (P) | Interest Rate (r) | Time Period (t) | Interest Earned (I)

$1,000 | 2% | 1 year | $20

$5,000 | 4% | 2 years | $400

$10,000 | 3.5% | 3 years | $1,050

$2,500 | 1.5% | 6 months | $18.75

$7,000 | 2.25% | 1.5 years | $236.25

To calculate the interest earned (I), we can use the simple interest formula: I = P * r * t.

For the first row, with a principal of $1,000, an interest rate of 2%, and a time period of 1 year, the interest earned is calculated as follows: I = $1,000 * 0.02 * 1 = $20.

For the second row, with a principal of $5,000, an interest rate of 4%, and a time period of 2 years, the interest earned is calculated as follows: I = $5,000 * 0.04 * 2 = $400.

For the third row, with a principal of $10,000, an interest rate of 3.5%, and a time period of 3 years, the interest earned is calculated as follows: I = $10,000 * 0.035 * 3 = $1,050.

For the fourth row, with a principal of $2,500, an interest rate of 1.5%, and a time period of 6 months (0.5 years), the interest earned is calculated as follows: I = $2,500 * 0.015 * 0.5 = $18.75.

For the fifth row, with a principal of $7,000, an interest rate of 2.25%, and a time period of 1.5 years, the interest earned is calculated as follows: I = $7,000 * 0.0225 * 1.5 = $236.25.

These calculations show the interest earned for different savings principals, interest rates, and time periods.

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Answer:

6

Step-by-step explanation:

just had this question on edgenuity

Answer:

6

Step-by-step explanation:

i got it correct

To find the sum of the squared differences, you first need to calculate the mean of the data set. Then, you need to subtract the mean from each score to get the difference. Finally, you need to square each difference and add them all together to get the sum of the squared differences.

Here are the steps to find the sum of the squared differences:

1. Calculate the mean of the data set by adding up all the scores and dividing by the number of scores.
2. Subtract the mean from each score to get the difference.
3. Square each difference.
4. Add up all the squared differences to get the sum of the squared differences.

For example, if the data set is {1, 2, 3, 4, 5}, the mean is (1+2+3+4+5)/5 = 3. The differences are (-2, -1, 0, 1, 2), and the squared differences are (4, 1, 0, 1, 4). The sum of the squared differences is 4+1+0+1+4 = 10.

So, the sum of the squared differences for this data set is 10.

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Answer:

Answer:tara was right terrence was close but he put the(.) in the wrong spot the correct answer is 243.984 but terrence put 2439.84

Step-by-step explanation:

Answer:

1st blank: Few

2nd blank: two

3rd blank: one

4th blank: three

5th blank: three

Step-by-step explanation

The amount of numbers behind the decimal of numbers behind the decimal in the answer.

Answer:

solution,

<K=38°

<J=90°

<L=?

Now,

<K+<J+<L=180°

or, 38°+90°+<L=180°

or, 128°+<L=180°

or, <L=180°-128°

<L=52°

hope this helps ..

Good luck on your assignment...

Answer:

a = 16

Step-by-step explanation:

The altitude YB is at right angles to the base XZ , then

∠ YBZ = 90° , so

6a - 6 = 90 ( add 6 to both sides )

6a = 96 ( divide both sides by 6 )

a = 16

Answer:

$19.5

Step-by-step explanation:

Total money with Emily in beginning = 4.5 + 15 = $ 19.5

Answer:19.50

Step-by-step explanation:

If she has $15 Left you need to add the 4.50 she spent to that to find the answer.

Answer:

what's the math problem

Step-by-step explanation:

Answer:

x is equal to -2.8

Step-by-step explanation:

2(x-4)=4x+3x+6=

2x-8=7x+6

Subtract 2x from both sides

-8=5x+6

Subtract 6 from both sides

-14=5x

x=-2.8

Answer:

-14/5

Step-by-step explanation:

when opening the RHS bracket.

we will get 2x-8

further solving,

2x-8= 7x+6

then rearranging,

2x-7x= 6+8

-5x=14

so x= -14/5

A zero balance in Armando's account can be achieved by subtracting $250 from the account balance. This can be done through a combination of withdrawals and/or transfers out of the account.

Subtracting is a mathematical operation that involves taking one number away from another. It is the inverse of addition, and is represented by the minus sign (-). Subtracting is used to determine the difference between two numbers, or to reduce a number by a given amount. In algebraic terms, subtracting is represented by the equation: a - b = c, where a is the starting number, b is the number to be subtracted, and c is the resulting difference. Subtracting can also be used on fractions, decimals, and other forms of numbers.

For example, Armando could make a $250 withdrawal from the account or transfer $250 to another bank account.

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The value of the given sine function is √3/2, so the correct option is 2nd.

Given that an function Sin (-5π/3) we need to evaluate the expression,

To evaluate the trigonometric function sine of the angle (-5π/3), we can use the periodicity of the sine function.

Since the sine function has a period of 2, the sine of any given angle is equal to the sine of that angle plus or minus any multiple of 2.

To find an equal angle inside the main range (between -π and π), we can add 2 to the angle (-5/3).

Once adding 2:

(-5π/3) + 2π = (-5π/3) + (6π/3) = π/3

Now we can evaluate the sine of π/3, which is a commonly known angle. The sine of π/3 is √3/2.

Therefore, sin(-5π/3) = sin(π/3) = √3/2.

Hence the correct option is √3/2

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Answer:

$42.00 per hour of labor

Step-by-step explanation:

$316.55-$148.55=$168.00

$168.00÷4 hours of labor=$42 an hour

Answer:

4 and 12

Step-by-step explanation:

let x be the smaller number and y the larger number , the

x + y = 4x ( subtract x from both sides )

y = 3x → (1)

2y - x = 20 → (2)

substitute y = 3x into (2)

2(3x) - x = 20

6x - x = 20

5x = 20 ( divide both sides by 5 )

x = 4

substitute x = 4 into (1)

y = 3x = 3 × 4 = 12

smaller number is 4 and larger number is 12

Answer:

very hard

this is a really hard problem but ignore the graph and pay attention to the numbers

Step-by-step explanation:

Answer:

\(y=\frac{1}{4}x +3\)

Step-by-step explanation:

slope (rise over run) choose 2 points that are easy to figure out. Count up and over to get the slope

(0,3) and (4,4)

3 to 4 is 1

0 to 4 is 4

slope is 1/4

y intercept is b- so +3

y=\(y=\frac{1}{4} x+3\)

A common everyday counting unit that is used to mean 12 of an object is a Dozen

Dozen is derived from the Old French word "douzaine" which means twelve each. In most situations, a dozen is used to refer to a group of twelve items. The term dozen is also used in informal situations to refer to a very large number of objects. For example, one might say "I have dozens of friends!" to mean that they have a lot of friends.

Dozen is a useful term when counting items. It allows for large numbers to be easily broken down into manageable groups. For example, if you have 120 pencils, you could easily count them by saying that you have 10 dozen pencils. It can also be useful when talking about fractions. For example, instead of saying "one and a half of an item," one could say "one and a half dozen of an item."

Dozen is a common everyday counting unit that is used to mean 12 of an object. It is a useful term when counting items and when talking about fractions, and can be used in both formal and informal settings.

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Answer: Los catetos medirán 12m y 9m.

Step-by-step explanation:

Bueno, sabemos que los lados de nuestro triangulo son 6m, 8m y 10m.

Podemos usar relaciones trigonométricas para encontrar los ángulos de este triangulo.

Cos(X) = cateto adyacente/hipotenusa

Si tomamos al cateto adyacente como 8m, tenemos:

Cos(X) = 8m/10m

X = Acos(8/10)  

Esto nos dice que para que nuestro otro triangulo rectángulo sea equivalente al primero, entonces los nuevos catetos C1  y C2 tienen que ser tal que los cocientes entre los catetos y la hipotenusa se mantengan constantes:

C1/15m = 8m/10m

C1 = (8/10)*15m = 12m

C2/15m = 6m/10m  

C2 = (6/10)*15m = 9m.