What is 35% of $2587

ANSWER

None of the above.

EXPLANATION

We want to solve the equation given for x:

First, simplify the radical:

Now, find the square of both sides of the equation:

Finally, simplify by subtracting 4 from both sides of the equation:

Hence, the correct option is "None of the above".

Answer:

no bc the two figures need to be exactly the same size

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Graph 4

Answer:

2 nonreal solutions

Step-by-step explanation:

given a quadratic equation in standard form

ax² + bx + c = 0 (a ≠ 0 )

then the nature of the roots are determined by the discriminant

b² - 4ac

• if b² - 4ac > 0 then 2 real and irrational solutions

• if b² - 4ac > 0 and a perfect square then 2 real and rational solutions

• if b² - 4ac = 0 then 2 real and equal solutions

• if b² - 4ac < 0 then no real solutions

5x² - 2x + 6 = 0 ← in standard form

with a = 5 , b = - 2 , c = 6

b² - 4ac

= (- 2)² - (4 × 5 × 6)

= 4 - 120

= - 116

since b² - 4ac < 0

then there are 2 nonreal solutions to the equation

The given statement is true, multicollinearity exists when a variable is correlated to other variables.

What is multicollinearity ?

Correlations between two or more independent variables in a multiple regression model can be referred to as multicollinearity. When a researcher or analyst tries to figure out how well each independent variable can be utilized to predict or comprehend the dependent variable in a statistical model, multicollinearity can result in skewed or misleading conclusions.

When two or more explanatory variables in a multiple regression model have strong linear relationships with one another but not with the dependent variable, this is referred to as multicollinearity.

Since a variable is multicollinear when it is correlated with other variables, the offered statement in the question is true.

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Answer:

18) Area= 5*5/2=25/2=12.5 unit ^2

19) Area=AB^2V3/4=8a^2*V3/4=2V3a^2

Step-by-step explanation:

18. A(-3,0)

B(1,-3)

C(4,1)

AB=V(-3-1)^2+(0+3)^2=V16+9=V25=5

AC=V(-3-4)^2+(0-1)^2=V49+1=V50=5V2

BC=V(1-4)^2+(-3-1)^2=V9+16=V25=5

so AB=BC=5

and AC^2=AB^2+BC^2

so trg ABC is an isosceles right  angle triangle (<B=90)

Area= 5*5/2=25/2=12.5 unit ^2

19. A(a,a)

B(-a,-a)

C(-V3a, V3a)

AB=V(a+a)^2+(a+a)^2=V4a^2+4a^2=V8a^2

AC=V(a+V3a)^2+(a-V3)^2=Va^2+2a^2V3+3a^2+a^2-2a^2V3+3a^2=V8a^2

BC=V(-a+V3a)^2+(-a-V3a)^2=V8a^2

so AB=AC=BC

Area=AB^2V3/4=8a^2*V3/4=2V3a^2

The equation of the degree 6 polynomial with a root at 3, a double root at 2, and a triple root at -1, and y-intercept at y = 5 is given as follows:

y = -5/12(x - 3)(x - 2)²(x + 1)³.

The equation of the function is obtained considering the Factor Theorem, as a product of the linear factors of the function.

The zeros of the function, along with their multiplicities, are given as follows:

Then the linear factors of the function are given as follows:

The function is then defined as:

y = a(x - 3)(x - 2)²(x + 1)³.

In which a is the leading coefficient.

When x = 0, y = 5, due to the y-intercept, hence the leading coefficient a is obtained as follows:

5 = -12a

a = -5/12

Hence the polynomial is:

y = -5/12(x - 3)(x - 2)²(x + 1)³.

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No, Root 3x 5 is not a polynomial, because it does not meet the definition of a polynomial.

A polynomial is a mathematical expression consisting of variables and coefficients, which only uses the operations of addition, subtraction, multiplication, and non-negative integer exponents. In other words, it must be an expression that can be written in the form ax^n + bx^(n-1) + cx^(n-2) + dx^(n-3) + ... + z, where n is an integer, and a, b, c, d, ... and z are real numbers.

Root 3x 5 does not fit this definition, because it contains a square root (√) which is not one of the operations listed. Additionally, it does not fit the form of a polynomial, as it does not contain any coefficients or exponents. The formula for root 3x 5 is simply √3x 5, and the calculation is the square root of 3x 5, or √15, which is equal to 3.75.

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Answer:

The total profit over this period is -546

Step-by-step explanation:

Given

Sequence: 4, 1, −2, −5, …, −56

Required

Determine the total profit

To do this, we simply calculate the sum of terms (Sn)

\(S_n = \frac{n}{2}(a + T_n)\)

But first, we need to determine the value of n using

\(T_n = a + (n - 1)d\)

Where:

\(T_n = -56\)

\(a = 4\)

\(d = 1 -4= -3\)

Substitute these values in the above formula, we have:

\(-56 = 4 + (n - 1) * -3\)

\(-56 = 4 -3n +3\)

Collect Like Terms

\(3n = 56 + 4 + 3\)

\(3n = 63\)

\(n = 63/3\)

\(n = 21\)

Recall that:

\(S_n = \frac{n}{2}(a + T_n)\)

This gives:

\(S_n = \frac{21}{2}(4 - 56)\)

\(S_n = \frac{21}{2}(-52)\)

\(S_n = 21 * -26\)

\(S_n = -546\)

The total profit over this period is -546

Answer:

ab=bc because b devide ac in two equal sizes

ac=ab+bc

ac=2×ab

ac =2×bc

lets substitute ac and bc there we are given

x+3=2(3x-1)

x+3=6x-2

-5x/-5=-5/-5

x=1

ab=3(1)-1

ab=2

Mr. Simon can serve 26 people with 20 containers of soup.

Given that: Mr.Simon has 20 containers of soup. 3 containers of soup feeds 4 people.

Frst, we need to know how many people can be fed by one container of soup.

We are given that 3 containers of soup can feed 4 people.

Hence, we can calculate how many people one container of soup can feed by dividing 4 people by 3 containers

One person ⇒  4/3

Next, we multiply the number of people per container by the total number of containers, which is 20 in this case.

This gives us:

= 20 × (4/3)

= 80/3

= 26.667

≈ 26

Mr. Simon can feed 80/3 people with 20 containers of soup. However, since we cannot serve a fractional part of a person, we should round the answer to a whole number. In this case, rounding down gives us 26.

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Answer:can't see no 1

Step-by-step explanation:

2=A

3=c

Answer:

Step-by-step explanation:

quit

Answer:

divide the numerator by the denominator and it should give you a decimal

Answer:if u don't get it tell me.

Step-by-step explanation:

Answer:

3 full miles; anything less than 4 miles

Step-by-step explanation:

5 + 2.50x = 15

subtract 5 from both sides

2.50x = 10

divide both sides by 2.50

x = 4

4 miles is how long he can travel by spending all $15

Anything less will cost him less than $15

Answer:

4 miles

Step-by-step explanation:

well we have a budget of 15$. We use 5$ for the ride so we have 10$ left. 10/2.5 is 4.

The area of a circle with radius 4 is 50.24.

Writing the equation form for area and radius of two circles -

(Area/radius²) for circle 1 = (Area/radius²) for circle 2

Keep the values in the relation to find the area of small circle.

314/10² = Area/4²

Area = (314 × 16)/100

Performing multiplication on Right Hand Side of the equation to find the area of circle

Area = 5024/100

Performing division on Right Hand Side of the equation to find the area of circle

Area = 50.24

Hence, we see the decrease in area based on decrease in radius. Thus, the area of circle is 50.24.

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The number of terms in the given arithmetic sequence is n = 10. Using the given first, last term, and the common difference of the arithmetic sequence, the required value is calculated.

The general form of the nth term of an arithmetic sequence is

an = a1 + (n - 1)d

Where,

a1 - first term

n - number of terms in the sequence

d - the common difference

The given sequence is an arithmetic sequence.

First term a1 = \(1\frac{1}{2}\) = 3/2

Last term an = \(2\frac{1}{2}\) = 5/2

Common difference d = 1/9

From the general formula,

an = a1 + (n - 1)d

On substituting,

5/2 = 3/2 + (n - 1)1/9

⇒ (n - 1)1/9 = 5/2 - 3/2

⇒ (n - 1)1/9 = 1

⇒ n - 1 = 9

⇒ n = 9 + 1

∴ n = 10

Thus, there are 10 terms in the given arithmetic sequence.

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Disclaimer: The given question in the portal is incorrect. Here is the correct question.

Question: If the first and the last term of an arithmetic progression with a common difference are \(1\frac{1}{2}\), \(2\frac{1}{2}\) and 1/9 respectively, how many terms has the sequence?

Jerry will have $1825 in his account after 3 years and Jerry will have $6125 in his account after 10 year when compounded.

Simple interest is computed just using the principle, which is the initial sum borrowed or put into an investment. The interest rate is constant throughout time and solely applies to the principal sum. Short-term loans or investments frequently employ simple interest.

The given situation can be modeled as a linear equation given by:

y = mx + c

For Jerry we have:

y = 50x + 125

For 3 years = 36 months we can substitute x = 36:

y = 50(36) + 125

y = 1825

For x = 10:

y = 50(120) + 125

y = 6125

Hence, Jerry will have $1825 in his account after 3 years and Jerry will have $6125 in his account after 10 year.

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To determine whether a critical point is a relative minimum or maximum using concavity, we need to examine the second derivative of the function at the critical point.

If the second derivative is positive, then the function is concave up, meaning it is shaped like a bowl opening upwards. At a critical point where the first derivative is zero, this indicates a relative minimum, as the function is increasing on either side of the critical point.

On the other hand, if the second derivative is negative, then the function is concave down, meaning it is shaped like a bowl opening downwards. At a critical point where the first derivative is zero, this indicates a relative maximum, as the function is decreasing on either side of the critical point.

If the second derivative is zero, then the test is inconclusive and further analysis is needed, such as examining higher order derivatives or using other methods such as the first derivative test.

Therefore, the concavity test is a useful method for determining the nature of critical points and whether they represent a relative minimum or maximum.

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Complete question is:

What we need to examine for a method for determining whether a critical point is a relative minimum or maximum using concavity.

Answer:

230-300= -70

All you have to do is subtract :)

An equation that is parallel to the line 32x-y=15 is y = 32x - 47.

y' = 4x³

m = slope of tangent line =slope of the given line = 32

y' = 32 at the tangent point

4x³ = 32

x = 2

y = 2⁴+ 1 = 17

The tangent point is (2,17)

Tangent line:

y = 32x + b

17 = 32(2) + b

b = -47

y = 32x - 47

The straight line that "just touches" the curve at a particular location is known as the tangent line (or simply tangent) to a plane curve in geometry. It was described by Leibniz as the path connecting two points on a curve that are infinitely near together.

A straight line has a slope of f'(c), where f' is the derivative of f, and is said to be tangent to a curve at a point x = c if it passes through the point (c, f(c)) on the curve. Space curves and curves in n-dimensional Euclidean space have a similar definition.

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The pair of equations whose lines are perpendicular is (d) y = 1/6x + 3; y = -6x - 3

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

The pair of equations

By definition;

The slopes of perpendicular lines are opposite reciporcals

So, we have

(a) -1/3 and -3 false

(b) -3 and -6 false

(c) 3 and 3 false

(d) 1/6 and -6 true

Hence, the equations are (d) y = 1/6x + 3; y = -6x - 3

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The vectors [-5 4 5], [2 -1 5], and [-17 16 45] are linearly dependent with scalars (1, 3, 1) as an example of a non-zero solution.

To determine if the vectors [-5 4 5], [2 -1 5], and [-17 16 45] are linearly independent, we need to find the scalars a, b, and c that satisfy the equation:

a * [-5 4 5] + b * [2 -1 5] + c * [-17 16 45] = [0 0 0]

If the only solution is a = b = c = 0, the vectors are linearly independent. If there are other solutions where a, b, and c are not all zero, the vectors are linearly dependent.

Let's form a matrix with these vectors as columns:

|-5  2 -17|
| 4 -1  16|
| 5  5  45|

Now, we can row reduce this matrix to its reduced row echelon form (RREF):

| 1 -2  5|
| 0  1 -3|
| 0  0  0|

From the RREF, we can write the system of linear equations:

x - 2y + 5z = 0
y - 3z = 0

Solving this system, we get:

y = 3z
x = 2y - 5z = 6z - 5z = z

Since z can be any scalar, we have infinitely many solutions where not all of a, b, and c are zero. For example, when z = 1, we get x = 1 and y = 3. So, the scalars (1, 3, 1) make the equation true.

Thus, the vectors [-5 4 5], [2 -1 5], and [-17 16 45] are linearly dependent with scalars (1, 3, 1) as an example of a non-zero solution.

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Answer:

A) 7

B) (47.5,54.5)

Step-by-step explanation:

a) The margin of error is half the length of the confidence interval, so the length of the confidence interval is 2 times the margin of error:

Length of confidence interval = 2 x 3.5 = 7.

b) If the sample mean is 51 and the margin of error is 3.5, then the confidence interval can be calculated as follows:

Lower bound = sample mean - margin of error = 51 - 3.5 = 47.5

Upper bound = sample mean + margin of error = 51 + 3.5 = 54.5

Therefore, the 95% confidence interval for the population mean is (47.5, 54.5).

Answer:

Step-by-step explanation:

Area of rectangle: l×b

Length = 72mm

= 7.2cm

Breadth = 65mm

= 6.5cm

(We know that 10mm = 1cm)

Area = 7.2×6.5

= 46.8cm²

The area of the rectangle is 46.8cm²

Must click thanks and mark brainliest

Answer:

area of a rectangle is (l×w)

Step-by-step explanation:

1cm=10mm

hb65mm

1cm×65mm

allover10mm

=6.5cm

do the same to 72mm to get 7.2cm

you then say 6.5cm×7.2cm

=46.8cm2

hope this helps

The area to the right of z = -1 for the standard normal distribution is approximately 0.8413.

a. To find the area to the right of z = -1 for the standard normal distribution, we need to calculate the cumulative probability using the standard normal distribution table or a statistical calculator.

From the standard normal distribution table, the area to the left of z = -1 is 0.1587. Since we want the area to the right of z = -1, we subtract the left area from 1:

Area to the right of z = -1 = 1 - 0.1587 = 0.8413

Therefore, the area to the right of z = -1 for the standard normal distribution is approximately 0.8413.

b. To answer this question, we would need additional information about the mean and standard deviation of the annual salaries for first-year college graduates. Without this information, we cannot calculate specific probabilities or make any statistical inferences.

If we are provided with the mean (μ) and standard deviation (σ) of the annual salaries for first-year college graduates, we could use the properties of the normal distribution to calculate probabilities or make statistical conclusions. Please provide the necessary information, and I would be happy to assist you further.

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From the given question, we can easily calculate that P(A⋂ B) is equal to 0 and  P(A | B) is also equal to 0.

Mutually exclusive events are those events that indicate that two or more events “do not occur” at the same time.

that clearly means that the intersection of their probabilities will be equal to 0

i.e. P(A⋂ B) = 0

and P(A|B) is called "Conditional probability", which means the possibility of an event or outcome happening(A), based on the given probability of a previous event or outcome(B)

and is given by,

P(A|B) = P(A ⋂ B)/P(B)

= 0/0.40

= 0

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Answer:

I am not 100% sure but I think it is

Question 9:

A. (-2, -2)

B. (1, 0)

C. (3, -7)

Question 10:

A. (-1, -3)

B. (-4, -5)

C. (-6, 2)

a. The coordinates of the new triangle's points after a dilation with a scale factor of 2 are A'(-5, -9), B'(13, 7), and C'(-13, 5).

b. The coordinates of the new triangle's points after a dilation with a scale factor of 1/2 are A"(-1/2, 0), B"(4, 4), and C"(-5/2, 7/2).

a. If the scale factor is 2, the coordinates of the new triangle's points A', B', and C' can be found by applying the dilation formula:

For point A:

x-coordinate of A' = (scale factor) * (x-coordinate of A) + (1 - scale factor) * (x-coordinate of center)

y-coordinate of A' = (scale factor) * (y-coordinate of A) + (1 - scale factor) * (y-coordinate of center)

Using the given values:

x-coordinate of A' = 2 * (-2) + (1 - 2) * 1 = -4 + (-1) = -5

y-coordinate of A' = 2 * (-3) + (1 - 2) * 3 = -6 + (-3) = -9

So, the coordinates of point A' are (-5, -9).

Following the same formula, we can find the coordinates of B' and C':

For point B:

x-coordinate of B' = 2 * 7 + (1 - 2) * 1 = 14 + (-1) = 13

y-coordinate of B' = 2 * 5 + (1 - 2) * 3 = 10 + (-3) = 7

So, the coordinates of point B' are (13, 7).

For point C:

x-coordinate of C' = 2 * (-6) + (1 - 2) * 1 = -12 + (-1) = -13

y-coordinate of C' = 2 * 4 + (1 - 2) * 3 = 8 + (-3) = 5

So, the coordinates of point C' are (-13, 5).

b. If the scale factor were 1/2, the coordinates of the new triangle's points A", B", and C" can be found using the same dilation formula:

For point A:

x-coordinate of A" = (scale factor) * (x-coordinate of A) + (1 - scale factor) * (x-coordinate of center)

y-coordinate of A" = (scale factor) * (y-coordinate of A) + (1 - scale factor) * (y-coordinate of center)

Using the given values:

x-coordinate of A" = (1/2) * (-2) + (1 - 1/2) * 1 = -1 + 1/2 = -1/2

y-coordinate of A" = (1/2) * (-3) + (1 - 1/2) * 3 = -3/2 + 3/2 = 0

So, the coordinates of point A" are (-1/2, 0).

Following the same formula, we can find the coordinates of B" and C":

For point B:

x-coordinate of B" = (1/2) * 7 + (1 - 1/2) * 1 = 7/2 + 1/2 = 4

y-coordinate of B" = (1/2) * 5 + (1 - 1/2) * 3 = 5/2 + 3/2 = 4

So, the coordinates of point B" are (4, 4).

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