1897 rounded to the nearest 1000

Answer:

4

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

By the definition of an inverse function, if:

\(f(a)=b\text{ then } f^{-1}(b)=a\)

Therefore, the domain of the original function will be the range of the inverse function.

And the range of the original function will be the domain of the inverse function.

We have the original function:

\(f(x)=2x^2-5\)

With the domain:

\(-\infty<x<\infty\)

Since the domain of the original function is such, then the range of the inverse function is also the same as above.

So, the range of the inverse function is also:

\(-\infty< f^{-1}(x)< \infty\)

So, our answer is

C.

Notes:

A, B, and E would automatically be incorrect since we never use ”or equal to” when using the infinity symbol. This is because we can never “equal” infinity.

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

Answer:

The shaded segment  = The arc area - The triangle

The arc area = pi x radius^2 x angle/360

                     = pi x 9^2 x (360-270)/360 = 63.61 (m2)

The triangle area = 9 x 9/2 = 41.5 (m2)

(because this is right triangle)

=> The shaded segment = 63.61 - 41.5 = 22.11 (m2)

Answer:

x - 11

Step-by-step explanation:

f(x) = -5x - 4

g(x) = 6x - 7

Find f(x) + g(x).

To find the sum of f(x) and g(x), we must substitute f(x) and g(x) with the given equations:

(-5x - 4) + (6x - 7)

To solve, we combine like terms.

-5x + 6x = x

-4 + (-7) = -11

Therefore, we end up with x - 11.

Hope this helps.

Answer:

9+3/5x-(81/5)=0

Step-by-step explanation:

Answer:

60 is the answer

Step-by-step explanation:

The complement of this angle is 30 degrees.

The supplement is 120 degrees. I hope it helps!:-)

A box plot shows the minimum, maximum, median, and any outliers of a data set. It does not show individual values in the data set. Therefore, options A, C, D, and E are the correct answers.

A box plot is a graphical representation of a data set that displays the median, individual values, outliers, minimum, and maximum of the data set.

The box plot is created by drawing a box from the lower quartile, or the 25th percentile, to the upper quartile, or the 75th percentile, with a line in the middle of the box representing the median of the data set.

The individual values in the data set are represented by dots, marks, or lines outside of the box. Outliers, or values that are significantly different from the rest of the set, are also represented outside of the box. T

he minimum and maximum of the data set are typically represented by either a line or a dot outside of the box.

Therefore, options A, C, D, and E are the correct answers.

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When a plane passes through the vertex of a double-napped cone, the intersection is a degenerate conic section.

A double-napped cone is formed by rotating a straight line around another straight line that is parallel to it.

The intersection of a plane with a double-napped cone is referred to as a conic section. A degenerate conic section is formed when a plane intersects a double-napped cone at the vertex.

Thus, when a plane passes through the vertex of a double-napped cone, the intersection is a degenerate conic section.

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Answer:

Irrational Numbers

Step-by-step explanation:Irrational numbers never end and never end/repeat.

The actual nominal rate of return is approximately 6.68%. None of the provided answer options exactly match this value, but the closest option is 6.77%.

To calculate the actual nominal rate of return, we use the Fisher equation:

Nominal Rate = (1 + Real Rate) * (1 + Inflation Rate) - 1

Given:

Real Rate = 3.87% (0.0387 as a decimal)

Inflation Rate = 2.75% (0.0275 as a decimal)

Now, let's plug in the values:

Nominal Rate = (1 + 0.0387) * (1 + 0.0275) - 1

Nominal Rate = 1.0387 * 1.0275 - 1

Nominal Rate = 1.0668 - 1

Nominal Rate = 0.0668 or 6.68% (rounded to two decimal places)

So, the actual nominal rate of return is approximately 6.68%. None of the provided answer options exactly match this value, but the closest option is 6.77%.

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Answer:

215 sections of rope that measure 27 meters in length, and you also have 9 meters of rope left

Step-by-step explanation:

we have 5,814 meters of rope and we are told to calculate the number of 27 meters sections that we can cut:

you have to divide 5,814 meters by 27 meters = 215.333

that means that you have 215 sections of rope that measure 27 meters in length, and you also have 9 meters of rope left (0.333 x 27 = 9)

El resultado de esta división es 0.010

Para solucionar la operación matemática debemos realizar los siguientes pasos:

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where is the rest of the question? what do I have to do?

Answer:

64% > 60%

Step-by-step explanation:

Total Units = 9 + 16 = 25 units.

Sarah Receives 16 units out of 25.

Percentage = 16/25 * 100

= 64%

Therefore Sarah received more than 60% of this money and therefore Reece is correct.

The first statement is true, as the Tolivers are not eligible for a child credit regardless of the number of their children. However, the second statement is false, as the earned income credit is available to low-income taxpayers with dependent children.

The earned income credit helps to offset the burden of the federal payroll tax on low-income families and encourages individuals to seek employment rather than depend on welfare. Finally, the information about Mrs. Starling's employment does not provide enough information to determine any tax-related implications.
The statement regarding Mr. and Mrs. Toliver not being eligible for a child credit is true. Their Adjusted Gross Income (AGI) is $339,000, which is above the income threshold for eligibility for the child tax credit. The credit phases out for joint filers with AGI over $400,000, and they are not eligible due to their high income.
Regarding the Caseys, the earned income credit (EIC) is only available to low-income taxpayers with dependent children. The EIC helps offset the burden of federal payroll taxes on low-income families and encourages individuals to seek employment instead of relying on welfare. In the case of the Caseys, since Mrs. Casey is employed full-time as an attorney and Mr. Casey is an unpublished novelist with no income, they might not qualify for the EIC as they might not be considered low-income, depending on Mrs. Casey's salary.
Mrs. Starling worked for Abbot Inc. and earned $122,000 during her time there. She later worked for JJT Inc., and her salary from both companies should be combined to determine her total income for the year. Based on the given information, Mrs. Starling's total income can be used to determine her tax liabilities and eligibility for tax credits or deductions.

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15/19 + 14/19 = 29/19

Step-by-step explanation:

Add the number of balls in the basket together.

Subtract the number of white balls from the sample space ( the total amount of balls) your answer is written over the sample space and the same process is done for the green ball

Gerard has encountered a problem with attrition in his study. Attrition refers to the loss of participants or subjects who leave a study before it is completed. It can occur for various reasons, such as illness, death, disinterest, loss of contact with the participants, or other factors.

In Gerard's study, 75 percent of the participants have dropped out. This level of attrition is particularly high and could cause problems with the validity and reliability of the study's findings. When a significant number of participants drop out of a study, it can create biases in the data that remain, which could make it challenging to generalize the findings to the larger population or come to valid conclusions.

Therefore, Gerard must address this issue and determine why such a high percentage of participants have dropped out. To ensure the accuracy of the findings, he may need to replace the missing participants or consider the potential reasons for their departure when analyzing the data.

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A relation R on Z is an equivalence relation if and only if it is reflexive, symmetric, and transitive. Specifically, in this case, xRy if and only if x^2+y^2 is even.

Reflexive: for any x in Z, x^2+x^2 is even, thus xRx. So, R is reflexive.

Symmetric: for any x,y in Z, if xRy, then x^2+y^2 is even, which implies y^2+x^2 is even, thus yRx. So, R is symmetric.

Transitive: for any x,y,z in Z, if xRy and yRz, then x^2+y^2 and y^2+z^2 are both even, thus x^2+z^2 is even, thus xRz. So, R is transitive.

Therefore, R is an equivalence relation.

To describe the equivalence classes, we need to find all the integers that are related to a given integer x under the relation R.

Let [x] denote the equivalence class of x.

For any integer x, we can observe that xR0 if and only if x^2 is even, which occurs when x is even.

Therefore, every even integer is related to 0 under R, and we have:[x] = {y in Z: xRy} = {x + 2k: k in Z}, for any even integer x.

Similarly, for any odd integer x, we can observe that xR1 if and only if x^2 is odd, which occurs when x is odd. Therefore, every odd integer is related to 1 under R, and we have:[x] = {y in Z: xRy} = {x + 2k: k in Z}, for any odd integer x.

In summary, the equivalence classes of R are of the form {x + 2k: k in Z}, where x is an integer and the parity of x determines whether the class contains all even or odd integers.

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Answer:

-6

Step-by-step explanation:

10--2 is 12 then divided by -2 is -6

Answer:

If it is -2: the answer is -6

Step-by-step explanation:

1) do what is inside parentheses P.E.M.D.A.S

(10- (-2))/-2  ------> 12/-2 since there is a double negative it turns into a positive (+) and you add 10 + 2

2) You simply divide

12/-2 = -6  Since you are dividing a negative and a positive the result is negative

Answer:

1/190

Step-by-step explanation:

To calculate the probability of drawing 2 white marbles and 1 blue marble without replacement, we need to consider the total number of ways to choose 3 marbles out of the total number of marbles in the bag.

The total number of marbles in the bag is 5 + 7 + 2 + 6 = 20.

First, let's calculate the number of ways to choose 2 white marbles out of the 2 available:

Number of ways to choose 2 white marbles = (2 choose 2) = 1

Next, we need to calculate the number of ways to choose 1 blue marble out of the 6 available:

Number of ways to choose 1 blue marble = (6 choose 1) = 6

Now, we can calculate the total number of ways to choose 3 marbles out of the 20 marbles in the bag:

Total number of ways to choose 3 marbles = (20 choose 3) = 1140

Finally, we can calculate the probability by dividing the number of favorable outcomes (2 white marbles and 1 blue marble) by the total number of possible outcomes:

Probability = (Number of favorable outcomes) / (Total number of possible outcomes)

= (1 * 6) / 1140

= 6 / 1140

= 1 / 190

Option B is the correct answer. The best approximation of the relative maximum of the polynomial function  graphed below is (-3.6,17)

The relative maximum is in the peak on the left side.

A function that involves only non-negative integer powers or only positive integer exponents of a variable in an equation like the quadratic equation, or cubic equation.

The general Polynomial Formula is

\(P(x)=a_{n} x^n+a_{n-1} x^n^-1+..........+a_{2} x^2+a_{1} x^1+a_{0}\)

where all the powers are non-negative integers.

And, a0,a1,………,an ∈ R

The graph of function depends upon its degree, and having one variable which has the largest exponent is called a degree of the polynomial.

There are some Graphs of Higher Degree Polynomial Functions:

The Standard form is:

P(x) = an xn + an-1 xn-1+.……….…+ a0

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Answer: Both of the Givens go in the left top boxes, and then in the right top boxes you would put B is the midpoint of AD and CE and then AC is equal to DE. In the third and fourth boxes on the left, you would put CB = EB and then AB is equal to DB. In the third and fourth boxes on the right you put both of the Def. of Midpoints. Then, in the last box to the left, you would put triangle ABC = DBE. In the final box to the right you would put Side-Side-Side Congruency.

Step-by-step explanation:

1) ac≅de, given

2) b is the midpoint, given

3) ab≅db, defn midpoint

4) cb≅eb, defn midpoint

5) abc≅dbe, side side side

Answer:

B. The cost of a smoothie

Step-by-step explanation:

The answer to the problem: 8.75 + 2.85 = $11.60

But to solve the problem you have to know the price of a smoothie.