A system of equations has infinitely many solutions. if 2y – 4x = 6 is one of the equations, which could be the other equation?

Answer:

C. 65

Step-by-step explanation:

Y and Z are the same angles so they would have the same measurement.

The average monthly temperature for July is $90 degrees Fahrenheit.

To calculate the average monthly temperature for July, we need to determine the value of y when t corresponds to July.

In the given equation, y = 70.5 + $19.5sin[(π/6)(t - 4)], t represents the number of months, with t = 1 representing January.

Since July is the seventh month of the year, we can substitute t = 7 into the equation to find the average monthly temperature for July:

y = 70.5 + $19.5sin[(π/6)(7 - 4)]

= 70.5 + $19.5sin[(π/6)(3)]

= 70.5 + $19.5sin[π/2]

= 70.5 + $19.5(1)

= 70.5 + $19.5

= 90

Hence the temperature in july is 90 degree farenheit.

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The total area of the solid figure is 90 square inches + 27sqrt(3) / 4 square inches.

To find the total area of the solid figure, we need to determine the areas of each face and then add them together.

The solid figure consists of a rectangular prism with dimensions 3" x 3" x 6" and a pyramid on top with an equilateral triangle base.

First, let's find the area of the rectangular prism. The rectangular prism has two identical square faces with side length 3" and four rectangular faces with dimensions 3" x 6". The total area of the rectangular prism can be calculated as:

Area of the square faces: 2 * (3" * 3") = 2 * 9 square inches

Area of the rectangular faces: 4 * (3" * 6") = 4 * 18 square inches

Total area of the rectangular prism: 2 * 9 + 4 * 18 = 18 + 72 = 90 square inches.

Next, let's find the area of the triangular pyramid. The base of the pyramid is an equilateral triangle with side length 3". The height of the pyramid is 3". The formula to find the area of an equilateral triangle is (sqrt(3) / 4) * (side length)^2. Plugging in the values, we have:

Area of the triangular pyramid: (sqrt(3) / 4) * (3" * 3") * 3" = (sqrt(3) / 4) * 9 * 3 = (sqrt(3) / 4) * 27 = 27sqrt(3) / 4 square inches.

Now, we can find the total area of the solid figure by adding the area of the rectangular prism and the area of the triangular pyramid:

Total area = Area of rectangular prism + Area of triangular pyramid

Total area = 90 square inches + 27sqrt(3) / 4 square inches.

Thus, the total area of the solid figure is 90 square inches + 27sqrt(3) / 4 square inches.

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Answer:

HI! I think the answer is 4.

Answer:

4/5 = 4 x 1/5

Step-by-step explanation:

Since we can write 4 as 4/1, that means 4 is the answer. This is because you multiply the top numbers and the bottom numbers, 4x1 is 4, and 1x5 is 5, so that means the answer is 4 since that problem got us 4/5.

The addition of the polynomial \(x^{3}+3xy-2xy^{2} +y^{3}\) with \(2x^{3}-5x^{2} y-3xy^{2}-2y^{3}\) is  \(3x^{3}+3xy-5x^{2} y-5xy^{2}-y^{3}\).

What is a polynomial?

⇒ A polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.

⇒ In the addition of polynomials, the like terms are added while in subtraction, the like terms are subtracted.

Calculation;

We have been given two polynomial which we have to add   \(x^{3}+3xy-2xy^{2} +y^{3}\) and \(2x^{3}-5x^{2} y-3xy^{2}-2y^{3}\)

The sign after addition or subtraction will always be of the variable having more value.

\((x^{3}+3xy-2xy^{2} +y^{3} )+(2x^{3}-5x^{2} y-3xy^{2}-2y^{3})\)

On adding like terms with each other

⇒ \((x^{3} +2x^{3})+ 3xy-5x^{2} y-(2xy^{2}+3xy^{2})+(y^{3}-2x^{3})\)

⇒ \(3x^{3}+3xy-5x^{2} y-5xy^{2}-y^{3}\)

Hence the addition of the polynomial\(x^{3}+3xy-2xy^{2} +y^{3}\) and \(2x^{3}-5x^{2} y-3xy^{2}-2y^{3}\) is \(3x^{3}+3xy-5x^{2} y-5xy^{2}-y^{3}\).

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Answer:

(0,0)

Step-by-step explanation:

x value of vertex = -b/2a

ax^2+bx+c

-2x^2+0x+0 sinc you have no value of b & c in your quadratic function

-b = 0

2a = (2)(-2)

-b/2a = (0/-4) = 0

x value of the vertex = 0

plug 0 in for all values of x in the function to find y coordinate value

-2(0)^2 = 0

(x,y) = (0,0)

Writing the fraction 7/11 as a decimal gives a repeating decimal 0.636363 the sum of the first two digits is 90

The fraction 7/11 is written in fraction to give a repeating deicmal

Where decimal with repeats. Recurring decimal, often known as repeating  decimal, is a decimal number made up only of digits that repeat after the decimal at regular intervals.

The division inform of fraction when converted to decimal gives

0.636363

the sum of the first 20 decimals is 90

this is 6 ten times and 3 ten times

6 * 10 + 3 * 10

60 + 30

90

the sum is 20

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Logarithmic functions are inverse functions of Exponential functions and are used to express very large or very small numbers.  Therefore: log^100 10,000 = 2

Logarithmic functions are inverse functions of exponential functions and are used to express very large or very small numbers. The logarithm is expressed as: log x = y, where b is the base, x is the number, and y is the logarithm of x to the base b.

Example 1: log^8 644For this logarithmic function, we have: log^8 644 = X the base of the logarithm is 8, which means we can express 644 as a power of 8 raised to the value of x.8^3 = 5128^3 x 8^2 = 512 x 64 = 32768 x 8^1 = 256 x 8 = 2048

Hence, 644 can be expressed as: 644 = 8^3 + 8^2 + 8

Therefore: log^8 644 = 3 + 2 + 1 = 6

Example 2: log^1/3 9Here, we have: log^1/3 9 = x The base of the logarithm is 1/3, which means we can express 9 as a power of 1/3 raised to the value of x.1/3^-2 = 9Therefore: log^1/3 9 = -2

Example 3: log^1/2 1/2For this logarithmic function, we have: log^1/2 1/2 = x

The base of the logarithm is 1/2, which means we can express 1/2 as a power of 1/2 raised to the value of x.1/2^1 = 1/2

Therefore: log^1/2 1/2 = 1Example 4: log^49 7

For this logarithmic function, we have: log^49 7 = x

The base of the logarithm is 49, which means we can express 7 as a power of 49 raised to the value of x.49^1/2 = 7

Therefore: log^49 7 = 1/2

Example 5: log^3 81For this logarithmic function, we have: log^3 81 = x The base of the logarithm is 3, which means we can express 81 as a power of 3 raised to the value of x.3^4 = 81

Therefore: log^3 81 = 4

Example 6: log^4 8For this logarithmic function, we have: log^4 8 = x The base of the logarithm is 4, which means we can express 8 as a power of 4 raised to the value of x.4^1.5 = 8

Therefore: log^4 8 = 1.5

Example 7: log^100 10,000For this logarithmic function, we have: log^100 10,000 = x The base of the logarithm is 100, which means we can express 10,000 as a power of 100 raised to the value of x.100^2 = 10,000

Therefore: log^100 10,000 = 2

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Answer:

total question = 30

question from ch 5 = 6

remaining questions = 30-6 = 24

ratio = 6 : 24 = 1 : 4 answer

Answer:

X=1/5

Step-by-step explanation:

7×-2×-10=-9

5×=-9 +10

5×/5=1/5

×=1/5

Answer:

13/24

Step-by-step explanation:

3/8 + 1/6

We need to get a common denominator of 24

3/8 *3/3 + 1/6*4/4

9/24 + 4/24

13/24

Answer:

3 dogs and 5 cats were adopted out on Christmas eve.

Step-by-step explanation:

Let the number of dogs adopted out on Christmas eve be x and the number of cats be y.

From the question,

On Christmas Eve, the animal adopted out 8 total animals

That is, x + y = 8 ...... (1)

and brought in $400 in total adoption fees.

Also from the question,

Each dog adoption fee was $75 and each cat adoption fee was $35.

∴ On Christmas Eve,

75x + 35y = 400 ...... (2)

Now, to determine how many dogs and how many cats were adopted out on Christmas Eve, we will solve the two equations simultaneously.

From equation (1)

x + y = 8

Make x the subject of the relation.

∴ x = 8 - y ...... (3)

Substitute the value of x into equation (2)

75(8 - y) + 35y = 400

600 - 75y + 35y = 400

600 -40y = 400

600 - 400 = 40y

200 = 40y

∴ 40y = 200

y = 200/40

y = 5

Substitute the value of y into equation (3)

x = 8 - y

x = 8 - 5

x = 3

∴ x = 3 and y = 5

Hence, 3 dogs and 5 cats were adopted out on Christmas eve.

Answer:

The magnitude is sqrt((-4)^2 + (-9)^2) = 9.85. The angle is atan(-9/-4) = 180 deg + 66 deg = 246 deg = -114 deg.

Step-by-step explanation:

hope it help

Answer:

9.85

Step-by-step explanation:

|v|= √9²+(-4)²

=√81+16

=√97

|v|= 9.85

Answer:

z/y+4

Step-by-step explanation:

The requried, none of the given equations matches this form. Therefore, none of the options is the correct answer.

Applying math and algebraic principles, simplification entails removing pointless variables, factors, or operations from an expression. Getting an expression that is simpler to use, manipulate, or solve is the aim. An algebraic equation, for instance, could be made simpler by factoring, merging like terms, or employing the distributive property.

Here,

To solve for x in the equation y(x-1) = a, we need to isolate x by dividing both sides by y and adding 1 to both sides. Therefore, we get:

y(x-1) = a

x-1 = a/y

x = a/y + 1

Thus, None of the given options matches this form. Therefore, none of the options is the correct answer.

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The expression x + y = -2 is a Linear equation. Note that A linear equation is one whose solutions, when displayed on a graph, create a straight line. A linear equation is generally expressed as ax + by = c, where a, b, and c are constants and x and y are variables.

To rewrite the above expression, we must make "y" the subject of the expression after the similitude of y = mx + b Where m is the slope and b is the constant or intercept.

Hence the expression standardized is:

y = -x -2.

In the above case,

m = -1

b = -2.

In order to find the solution to the expression y = -x - 2, one would need to set x and y to any real values and find the pair of x and y that is consistent with the equation.

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Using the z-distribution, the 90% confidence interval for the difference of proportions is given by: (-0.0534, 0.0434).

For each sample, the mean and the standard error are given as follows:

For the distribution of differences, they are given by:

The interval is given by:

\(\overline{p} \pm zs\)

In this problem, we have a 90% confidence level, hence\(\alpha = 0.9\), z is the value of Z that has a p-value of \(\frac{1+0.9}{2} = 0.95\), so the critical value is z = 1.645.

Hence the bounds of the interval are:

\(\overline{p} - zs = -0.005 - 1.645(0.0294) = -0.0534\)

\(\overline{p} + zs = -0.005 + 1.645(0.0294) = 0.0434\)

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Answer:

The answer is Infinitely many

It is true that every invertible square matrix can be written as a product of elementary matrices. because, it depends on whether you are talking about invertible square matrices or all square matrices.

An elementary matrix is a matrix that can be obtained from the identity matrix by performing a single elementary row operation (such as swapping two rows, multiplying a row by a scalar, or adding a multiple of one row to another).

Moreover, any matrix that can be expressed as a product of elementary matrices is invertible.

However, not every square matrix is invertible, and so not every square matrix can be written as a product of elementary matrices. For example, the zero matrix cannot be written as a product of elementary matrices since it is not invertible.

So, it depends on whether you are talking about invertible square matrices or all square matrices.

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No, these two events cannot be disjoint. Disjoint events, also known as mutually exclusive events, are events that cannot occur simultaneously.

In other words, if events A and B are disjoint, it means that the occurrence of one event excludes the possibility of the other event occurring.

However, in this case, we are given that P(A) > 0 and P(B) > 0. This means that both events A and B have non-zero probabilities of occurring. Since both events have a positive probability, they cannot be disjoint because there is a possibility of their intersection, where both events occur simultaneously.

Disjoint events would have the property that P(A ∩ B) = 0, indicating that their intersection is an empty set. But given that P(A) > 0 and P(B) > 0, it implies that there is some non-zero probability for the events A and B to occur together, making them not disjoint.

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a) The probability that he receives no job offers is given as follows: 0.0001.

b) The probability that he receives at least one job offer is given as follows: 0.9999.

c) The expected number of job offers is given as follows: 5.6.

The mass probability formula for the number of successes x in n trials is defined by the equation presented as follows:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters, along with their meaning, are presented as follows:

The parameter values for this problem are given as follows:

n = 8, p = 0.7.

Hence the expected value is given as follows:

E(X) = np = 8 x 0.7 = 5.6.

The probability of no offers is:

\(P(X = 0) = (1 - 0.7)^8 = 0.0001\)

Hence the probability of at least one job offer is given as follows:

1 - P(X = 0) = 1 - 0.0001 = 0.9999.

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Answer:

4(6q-19u-13b+17i)

Step-by-step explanation:

each of the variables is divisble by 4, thus allowing you to factor out 4.

Step-by-step explanation:

24q-76u+104i-52b-36i

24q-76u-68i-52b

4(6q-19u-17i-13b)

The score of the top 2.5% of the applicants would be at least 610.

To find the score of the top 2.5% of the applicants, we need to use the z-score formula:

z = (x - μ) / σ

where x is the score we want to find, μ is the mean (460), σ is the standard deviation (80), and z is the z-score corresponding to the area under the normal curve to the right of x.

We want to find the z-score such that the area to the right of z is 0.025 (since we're looking for the top 2.5%). Using a table or calculator, we find that the z-score corresponding to an area of 0.025 to the right is approximately 1.96.

So,

1.96 = (x - 460) / 80

Solving for x, we get:

x = 1.96 * 80 + 460 = 610.8

Rounding to the nearest integer, we get 610. Therefore, the score of the top 2.5% of the applicants would be at least 610.

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Answer:760

Step-by-step explanation:

Answer:

760

Step-by-step explanation:

Answer:

8 1/3 or 8.3 repeating

Step-by-step explanation:

you're welcome

The probability that no more than four of the college graduates plan to pursue a graduate degree is approximately 0.1437. b. X= 7 = 0.2004.

With a set number of independent trials, each of which has just two potential outcomes—success or failure—a binomial distribution defines the number of successes. The chance of success, represented by p, and the number of trials, denoted by n, are the two factors that define the distribution.

Given that, 58% of recent college graduates plan on pursuing a graduate degree.

Using the binomial probability formula we have:

\(P(X \leq 4) = \sum (i = 0 \to 4) (n C i) * p^i * (1 - p)^{(n-i)}\\\\\)

Here, n = 13, p = 0.58.

\(P(X \leq 4) = Σ(i = 0 \to 4) (13 C i) * 0.58^i * (1 - 0.58)^{(13-i)}= 0.1437\)

Hence, the probability that no more than four of the college graduates plan to pursue a graduate degree is approximately 0.1437.

b. For X = 7:

\(P(X = 7) = (13 C 7) * 0.58^7 * (1 - 0.58)^{(13-7)}= 0.2004\)

Hence, the probability that exactly seven of the college graduates plan to pursue a graduate degree is approximately 0.2004.

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Answer:

843.44

Step-by-step explanation:

Step 1 - Subtract the withdraw from the initial balance:

1203.44 - 300 = 903.44

Step 2 - Because the above amount is below the 1000 threshold, we can calculate the cost of the charge over the six months:

10 * 6 = 60

Step 3 - Subtract the total charges from the balance:

903.44 - 60 = 843.44

Hope this helps!

The value that correctly fills in the blank in the previous sentence is m∠L.

In an isosceles triangle, the angles opposite to the congruent sides are also congruent. Therefore, if △ABC≅△KLM, it implies that the corresponding angles of the two triangles are congruent. In this case, angle B in triangle ABC corresponds to angle L in triangle KLM. Hence, m∠B and m∠L are equal.

To understand this concept further, consider the side lengths and angles of the two congruent triangles. Since the triangles are congruent, their corresponding sides and angles are equal. In this scenario, if △ABC≅△KLM, it means that side AB is congruent to side KL, side BC is congruent to side LM, and side AC is congruent to side KM.

Additionally, angle A is congruent to angle K and angle C is congruent to angle M. Based on this, we can conclude that angle B in triangle ABC must be congruent to angle L in triangle KLM. Therefore, m∠B = m∠L.

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Based on the given information, we can estimate that out of the total population of students, 2 out of 4 students (or 50%) own graphing TI calculators so it can be estimated that the proportion of students who do not own a TI graphing calculator is 50%.

To estimate the proportion of students who do not own a TI graphing calculator, we can use the information provided that out of the 4 students who owned a TI calculator, 2 had graphing calculators. Since we know that all graphing calculators are TI calculators, we can assume that the 2 students with graphing calculators are included in the total count of students who own TI calculators. Therefore, the remaining 2 students who own TI calculators must have non-graphing calculators.

Based on this information, we can estimate that out of the total population of students, 2 out of 4 students (or 50%) own non-graphing TI calculators. Therefore, we can estimate that the proportion of students who do not own a TI graphing calculator is 50%.

It's important to note that this is an estimation based on the limited information provided. To obtain a more accurate estimate, a larger sample size or more comprehensive data would be needed. Additionally, this estimation assumes that the sample of 4 students is representative of the entire student population in terms of calculator ownership. If there are any biases or limitations in the sampling method or if the sample is not representative, the estimate may not accurately reflect the true proportion of students who do not own a TI graphing calculator.

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