B is the midpoint of AC.
If BC is 3x - 7 and AC is 9x - 61, what is the length of AB?

Answer:

x=34    y=-87     (34,-87)

Step-by-step explanation:

3x+y=15              rewrite to solve for y  ----->    y=15-3x

5x+2y=-4

Plug y=15-3x into 5x+2y=-4

So, 5x+2 (15-3x)=-4

Distribute: 5x+30-6x=-4

Combine like terms: 30-x=-4

Solve for x   -x=-34

Solve for x   x=34

Then, to solve for y, plug "x" into 3x+y=15

So, 3(34)+y=15

Distribute: 102+y=15

Solve for y  y=-87

Answer: 20.98

Step-by-step explanation: Pythagorean theorem to find a is the square root of c^2 - b^2 C is 27 and b is 17 so square root of 27^2 17^2 is 20.98

The values of the trigonometry functions are sin(θ) = 3/√13, cos(θ) = 2/√13, tan(θ) = 3/2, csc(θ) = √13/3, sec(θ) = √13/2 and cot(θ) = 2/3

from the question, we have the following parameters that can be used in our computation:

The right triangle

The hypotenuse of the right triangle is calculated as

h² = 2² + 3²

When evaluated, we have

h = √13

The values of the trigonometry functions are then evaluated as

sin(θ) = 3/√13

cos(θ) = 2/√13

tan(θ) = 3/2

csc(θ) = √13/3

sec(θ) = √13/2

cot(θ) = 2/3

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Answer: 31.5 gallons

Step-by-step explanation:

0.7 gallon of water per minute

so 45 minutes = 45x0.7 = 31.5 gallons

Step-by-step explanation:

75 = 3 x 5 x 5    in prime factorization

Answer:

Step-by-step explanation:

3x5x5

The cost of one hosta is approximately $7 and the cost of one geranium is approximately $4.

To find the cost of one hosta and one geranium, we can set up a system of equations based on the given information.

Let's assume the cost of one hosta is represented by 'h' and the cost of one geranium is represented by 'g'.

From the information given, we can set up the following equations:

Eugene's spending:

18h + 6g = $150

Jessica's spending:

7h + 16g = $113

We can now solve this system of equations to find the values of 'h' and 'g'.

Multiplying the first equation by 2 and the second equation by 3 to eliminate 'g', we get:

36h + 12g = $300

21h + 48g = $339

Now, we can subtract the second equation from the first to eliminate 'h':

(36h + 12g) - (21h + 48g) = $300 - $339

36h - 21h + 12g - 48g = -$39

15h - 36g = -$39

Simplifying further, we have:

15h - 36g = -$39

Now we can solve this equation for 'h' and substitute the value back into any of the original equations to find 'g'.

Let's solve for 'h':

15h = 36g - $39

h = (36g - $39) / 15

Substituting this value of 'h' into Eugene's equation:

18[(36g - $39) / 15] + 6g = $150

(648g - $702) / 15 + 6g = $150

648g - $702 + 90g = $150 * 15

738g - $702 = $2250

738g = $2250 + $702

738g = $2952

g = $2952 / 738

g ≈ $4

Now, substituting the value of 'g' back into Eugene's equation:

18h + 6($4) = $150

18h + $24 = $150

18h = $150 - $24

18h = $126

h = $126 / 18

h ≈ $7

Therefore, the cost of one hosta is approximately $7 and the cost of one geranium is approximately $4.

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The equation of the line of best fit is: y = (-2/3)x + 26/3

To estimate the line of best fit using two points on the line, we can use the slope-intercept form of a linear equation, which is y = mx + b, where m is the slope of the line and b is the y-intercept.

Given the two points (7, 4) and (10, 2), we can calculate the slope (m) using the formula:

m = (y2 - y1) / (x2 - x1)

Substituting the coordinates of the points:

m = (2 - 4) / (10 - 7)

m = -2 / 3

Now that we have the slope, we can substitute it into the equation and solve for the y-intercept (b). Let's use the coordinates of one of the points, such as (7, 4):

4 = (-2/3)(7) + b

4 = -14/3 + b

To find the value of b, we can rearrange the equation:

b = 4 + 14/3

b = 12/3 + 14/3

b = 26/3

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The correct expression is  6^(-11).

Exponents and powers are ways used to represent very large numbers or very small numbers in a simplified manner.

Given:

6^(-5) / (6^2)^3

Now, using laws of exponents

(a^m)^n = a^(mn)

6^(-5) / (6^6)

again using laws of exponents

a^m/ a^n= a^(m-n)

So, 6^(-5-6)

=6^(-11)

Hence, the value of 6^(-5) / (6^2)^3 is 6^(-11).

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Answer:

The appropriate solution is "259".

Step-by-step explanation:

According to the question,

\(\sigma = 300\)

\(M.E=25\)

At 82% CI,

\(\alpha = 0.18\)

Critical value,

\(Z_c=1.341\)

Now,

The sample size will be:

⇒ \(n=(Z_c\times \frac{\sigma}{E} )^2\)

By substituting the values, we get

      \(=(1.341\times \frac{300}{25} )^2\)

      \(=(1.341\times 12)^2\)

      \(=259\)

The P-intercept of the function P(x) is 0.

The n -intercepts of the function are n = 0, -3 and -7

We are given the function;

P(n) = 3n⁴ + 30n³ + 63n²

Now, the P intercept of the function P(n) will occur when n = 0. Thus;

P(0) =  3(0)⁴ + 30(0)³ + 63(0)²

P(0) = 0

Thus, the P intercept of the function P(x) is 0.

Now, the n-intercept will be the roots of the given function P(x). Thus;

3n⁴ + 30n³ + 63n² = 0

n²(3n² + 30n + 63) = 0

Thus;

n² = 0 or 3n² + 30n + 63 = 0

Using quadratic equation calculator we have;

n = 0, -3 and -7

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Answer:

No

Step-by-step explanation:

10 is not less than 6, so 10 < r when r=6 is not true.

Answer:

2x^2 - 9x -1 = 0

Solution: x = 9 ±√89/4

2x^2 -9x +6 = 0

Solution: 9 ± √33/4

Step-by-step explanation:

Given the equation;2x^2 - 9x -1 = 0

From the quadratic formula;

-b ±√ b^2 -4ac/2a

We have;

x= -(-9) ± √(-9)^2 - -4(2)(-1)/2(2)

x = 9 ±√89/4

Also;

Given the equation: 2x^2 -9x +6 = 0

From the quadratic formula: -b ±√ b^2 -4ac/2a

We have;

x= -(-9) ± √(-9)^2 - 4(2)(6)/2(2)

x= 9 ± √33/4

1.) 2x^2-9x+6 2.)  2x^2-8x+5 3.) 2x^2-9x-1   4.) 2x^2-8x-3

Step-by-step explanation:

The independent variable in the children got out of the pool when their mother said it was time to leave is D. The mother.

It should be noted that an independent variable simply means a variable that can stand alone without being changed by the other variables.

It should be noted that from the information given, the statement is that the children got out of the pool when their mother said it was time to leave.

Therefore, the independent variable in the children got out of the pool when their mother said it was time to leave is the mother as she's not influenced by others.

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Answer:

You should redo your user name

Answer: 0.155

Step-by-step explanation:

To find the probability of a certain event occurring in a Poisson distribution, we can use the formula:

P(k) = (μ^k * e^(-μ)) / k!

Where:

Plugging in the given values, we get:

P(5) = (9^5 * e^(-9)) / 5! = 126,441 * 0.000123 = 0.1550

So the probability of the event occurring 5 times is approximately 15.5%.

statement (c) C is incorrect. Statement (c) states that if v ≠ 0 and v ∈ null(A) then v is an eigenvector of A with eigenvalue 0. This statement is not correct because the eigenvector with eigenvalue 0 lies in the null space of the matrix. But the reverse is not true.

An n × n matrix is called the square matrix. The square matrix is known for having the same number of rows and columns. An eigenvector is the special type of vector that doesn’t change its direction when transformed by a given matrix. An eigenvalue represents the scalar that is used to transform the eigenvector.

The given options are:

a. If v ≠ −w are eigenvectors of a with eigenvalue α then v + w is an eigenvector of a with eigenvalue α.

b. If v is an eigenvector of a with eigenvalue α, and w is an eigenvector of A with eigenvalue β ≠ α then v + w is an eigenvector of a with eigenvalue α + β.

c. If v ≠ 0 and v ∈ null(A) then v is an eigenvector of A with eigenvalue 0.d. If v is an eigenvector of A with eigenvalue α and c is a non-zero scalar then cv is an eigenvector of A with eigenvalue α.

Here, statement (c) is incorrect. Statement (c) states that if v ≠ 0 and v ∈ null(A) then v is an eigenvector of A with eigenvalue 0. This statement is not correct because the eigenvector with eigenvalue 0 lies in the null space of the matrix. But the reverse is not true. Therefore, option (C) is the correct answer.

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The correct expanded form using Laws of exponents is:

Two-thirds times two-thirds times two-thirds times two-thirds

Some of the laws of exponents are:

1) When multiplying like bases, keep the base the same and add the exponents.

2) When raising a base with a power to another power, keep the base the same and multiply the exponents.

3) When dividing like bases, keep the base the same and subtract the denominator exponent from the numerator exponent.

Now, we want to solve the expression given as: (²/₃)⁴

When we expend this, we arrive at:

²/₃ × ²/₃ × ²/₃ × ²/₃

This among the options is Option A which is:

Two-thirds times two-thirds times two-thirds times two-thirds

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The people that would not be sampled would be:

We have to do this by considering the people that would be seen present in the roster of the school. The people that are dropouts as well as homeschooled cannot appear in a school register because they are not students.

The students that are sick and on the trip are all students of the high school so they can be included in the sampling that is being done by the school.

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Answer:

Step-by-step explanation:

Circumference is 2πr - 2r = 90cm

2r(π-1)=90

divide both sides by (π-1)

2r = 90/(π-1)

2r = 42.024...

r = 21.012399 cm

Answer:

By finding the differences between dependent values, you can determine the degree of the model for data given as ordered pairs. If the first difference is the same value, the model will be linear. If the second difference is the same value, the model will be quadratic.

Answer:

A) 427 × 3 = 400 × 3 + 20 × 3 + 7 × 3

Step-by-step explanation:

\(427*3=(400+20+7)*3=(400*3)+(20*3)+(7*3)\)

Therefore, the first option is correct

Answer:

y=-5x + b

2=-5(-4) + b

b = -18

y=-5x -18    is the parallel line through (-4,2)

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

Since n = 3, you would times n (3) 4 times then add that to 3, then divide that by three, and there's your answer!

Answer:

One solution

BRAINLIEST, PLEASE!

Step-by-step explanation:

2y - x = 6

2y = x + 6

y = x/2 + 3

y = 2x + 7

After graphing, they have one solution at (-2.667, 1.667).

The number 842 is the number whose digit 4 is ten times larger than in the number 384

To solve the problem, we need to find a number in which the digit 4 is ten times larger than in the number 384.

In the number 384, the digit 4 is in the ones place, which means that its value is 4.

To find a number in which the digit 4 is ten times larger, we need to find a number in which the digit 4 is in the tens place and its value is 10 times larger than 4, which is 40.

The only answer option that fits this description is 842. In this number, the digit 4 is in the tens place and its value is 40, which is ten times larger than its value in the number 384.

Therefore, the correct answer is 842.

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Answer:

approximately Normal with a mean of 3.2 million and a standard deviation of 0.32 million

Step-by-step explanation:

For normal distribution conditions

1) Sample size is greater than 30

2) Population standard deviation is known

3) population is normal distributed

Above any condition given problem if satisfied than it's distribution will approximately normal.

n = 40 > 30

Sample size(n) greater than 30 and population standard deviation is known.

So the distribution will approximately be normal

Hope this helps!

The shape  of the distribution of the sample mean for all possible random samples of size 40 from this population is approximately Normal

The following any or all conditions should be there for normal distribution:

Now  

n = 40 > 30

Here  

Sample size(n) more than 30 and population standard deviation is known.

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For the first question, we can see that g(x) = f(kx). To find k, we can compare the x values of f(x) and g(x). We can see that when x = -8 for g(x), x = -2 for f(x). This means that k(-8) = -2. Solving for k gives us k = -2/-8 = 1/4. Therefore, k is equal to one fourth.

For the second question, we can see that g(x) is f(x) shifted to the right by 4 units. Therefore, f(x) should be shifted to the left by 4 units to match g(x). The answer is left by 4 units.

Received message. For the first question, we can see that g(x) = f(kx). To find k, we can compare the x values of f(x) and g(x). We can see that when x = -8 for g(x), x = -2 for f(x). This means that k(-8) = -2. Solving for k gives us k = -2/-8 = 1/4. Therefore, k is equal to one fourth. For the second question, we can see that g(x) is f(x) shifted to the right by 4 units. Therefore, f(x) should be shifted to the left by 4 units to match g(x). The answer is left by 4 units.

hopes thats help thank you

So,

30% of $2300 is:

So that's the amount that will be discounted. Therefore, the sale price before taxes is $2300 - $690 = $1610

(a). The graph of y = -f(x) is shown in the image below.

(b). The graph of y = g(-x) is shown in the image below.

By reflecting the parent absolute value function g(x) = |x + 2| - 4 over the x-axis, the transformed absolute value function can be written as follows;

y = -f(x)

y = -|x + 2| - 4

Part b.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

First of all, we would determine the slope of this line;

Slope (m) = rise/run

Slope (m) = -2/4

Slope (m) = -1/2

At data point (0, 5) and a slope of -1/2, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 5 = -1/2(x - 0)

g(x) = -x/2 + 5, -4 ≤ x ≤ 4.

y = g(-x)

y = x/2 + 5, -4 ≤ x ≤ 4.

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The student made $100 in week 8.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Amount earned from the first week to 6 weeks.

110, 100, 90, 110, 100, 90

We see that,

Every 3 weeks the amount gets repeated.

So,

7th week = 110

8th week = 100

Thus,

The amount earned in week 8 is $100.

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