What is 529,269 rounded to the ten thousands place?

Answer:

f(x)=-|x+2|+1

I've attached the graph for it

Answer:  

x = 4

Step-by-step explanation:

See attachment.

Answer:

198 in²

Step-by-step explanation:

triangle (A=1/2)bh [A=1/2(22×8)] b=22 H=8

rectangle (A=bh) [A= 22×5] B=22 H=5

triangle = 88

rectangle = 110

So, 88+110 = 198

To find g(-2), we'll substitute -2 for x in the equation g(x) = -4x² - 5x + 9. So,g(-2) = -4(-2)² - 5(-2) + 9g(-2). The value of g(-2) is -6.

To find g(-2), substitute -2 for x in the equation

g(x) = -4x² - 5x + 9 to get

g(-2) = -6 + 9g(-2)

We are given three functions as follows:

f(x) = (1/3)x - 5, g(x)

= -4x² - 5x + 9, and

h(x) = 1/(x - 8) + 3.

We are asked to find g(-2), which is the value of g(x) when x = -2.

Substituting -2 for x in the equation g(x) = -4x² - 5x + 9, we get

g(-2) = -4(-2)² - 5(-2) + 9.

This simplifies to g(-2) = -16 + 10 + 9 = -6.

Hence, g(-2) = -6.

The value of g(-2) is -6.

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Step-by-step explanation:

some to check if it correct

The length of the  line segment AB is 8.48 unit.

The term used for identifying the size of an object or the distance from one point to another is known as length.

The length of the line segment having endpoints A (x1, y1) and B (x2, y2) can be determined using the formula,

\(AB=\sqrt{(x_{2} ^{2} -x_{1} ^{2} )+(y_{2} ^{2} - y_{1} ^{2} )}\)

Given that x1 = -1, x2= 11, y1= 7, and y2= -1.

Substituting the given values in the above equation

\(AB=\sqrt{(11^{2}-(-1)^2 )+((-1)^2-7^2)}\)

\(AB=\sqrt{72} = 8.48\)

Hence, 8.48 unit is the length of line segment AB.

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Answer:

(0, 4)

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

According to the graph, the line passes the y-axis at y = 4. Therefore, our y-intercept is (0, 4).

Answer: fx=−14

Step-by-step explanation:

The probability of either event A or event B occurring is 0.51. The probability that neither event A nor event B will happen is 0.49.

a. Since events A and B are mutually exclusive, they cannot occur at the same time. The probability of either A or B occurring can be calculated by summing their individual probabilities:

P(A or B) = P(A) + P(B) = 0.24 + 0.27 = 0.51

Therefore, the probability of either event A or event B occurring is 0.51.

b. The probability that neither A nor B will happen can be found by subtracting the probability of A or B occurring from 1 (since the sum of all probabilities must equal 1):

P(neither A nor B) = 1 - P(A or B)

Since events A and B are mutually exclusive, the probability of A or B occurring is the same as the probability of either A or B occurring:

P(A or B) = 0.51

Therefore,

P(neither A nor B) = 1 - 0.51 = 0.49

So, the probability that neither event A nor event B will happen is 0.49.

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The probability that the child spends less than 1 hour per day unsupervised is approximately 0.1335.

To find the probability that the child spends less than 1 hour per day unsupervised, we can use the normal distribution and the given mean and standard deviation.

Given:
Mean (μ) = 3 hours
Standard Deviation (σ) = 1.8 hours

We want to find the probability that the child spends less than 1 hour per day unsupervised, which is equivalent to finding the area under the normal distribution curve to the left of 1 hour.

Using the Z-score formula:
Z = (x - μ) / σ

Substituting the values:
Z = (1 - 3) / 1.8
Z = -1.11

Now, we can use a Z-table or a calculator to find the probability associated with the Z-score of -1.11. The probability can be found as the area to the left of the Z-score.

Looking up the Z-score of -1.11 in the Z-table, we find the corresponding probability to be 0.1335.

So, the probability that the child spends less than 1 hour per day unsupervised is approximately 0.1335.

The probability statement is: p(x < 1) = 0.1335.

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The total thickness of Jada's pile of books was 12 inches.

A graph form used to display numerical data is a line plot, commonly referred to as a dot plot. Each data point in a line plot is represented by a dot that is positioned above a number line. Dots that indicate the same value are piled vertically and put above the appropriate value on the number line.

Little to intermediate sized data sets may be displayed using line plots, which enable us to rapidly observe the data's distribution, including its range, frequency, and any outliers.

Two data points on the line plot indicate a set of books that were each one and a half inches thick, indicating that there were two of such types of books.

Four data points on the line plot indicate a set of books that were each 2 1/4 inches thick, indicating that there were four of such types of books.

Total thickness = (2 x 1 1/2) + (4 x 2 1/4)

= 3 + 9

= 12 inches

Hence, the total thickness of Jada's pile of books was 12 inches.

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Answer:

work is shown and pictured

Answer:

Mrs. Ades is not being fair. The probability of Elias and Maha getting chosen should be equal, but Elias has a 6/10 chance of being chosen, while Maha only has a 4/10 chance of being chosen. This is because Elias has 6 tiles assigned to him, while Maha only has 4 tiles assigned to her.

Explanation:

To make it fair, Mrs. Ades should assign each person an equal number of tiles, or draw from a bag with the tiles numbered 1 through 5 twice, assigning one to Elias and one to Maha each time, and then draw from a bag with tiles numbered 6 through 10 twice, assigning one to Elias and one to Maha each time.

There are 165 different committees possible where no member has any specific responsibilities

To solve this problem the formula and the combination procedure we must use is:

C(n/r) = n! / [(n-r)! *r!]

Where:

Information about the problem:

Applying the combination formula we have:

C(n/r) = n! / [(n-r)! *r!]

C(11/3) = 11! / [(11-3)! *3!]

C(11/3) = 11! / [(8)! *3!]

C(11/3) = 11*10*9*8! / [(8)! *3!]

C(11/3) = 11*10*9/3!

C(11/3) = 990/6

C(11/3) = 165

In mathematics, a combination or combinations are all the possible groupings that can be made of a given number of elements, without repeating them and regardless of the order in which they are found.

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Answer:

C. 1/12

Step-by-step explanation:

The scale can be calculated by comparing side lenghts

AC is similar to FD and AB is similar to  FE and BC is similar to ED

AB = 2 and FE = 24 so AB/FE is = 2/24 that's simplified is 1/12

Answer:

I think its 27

Step-by-step explanation:

If the vurrent cost is 15 then it took 27 dollars off the original amount

\(\pi \int\limits^6_0 {\frac{26}{3} } \, x^{2} -\frac{1}{9} x^{4} dx\) is the integral that uses the method of disks/washers to find the volume v of the solid obtained by rotating the region bounded by the given curves about the specified lines.

A method for determining the volume of a solid of revolution of a solid-state material while integrating along an axis "parallel" to the axis of revolution is known as disc integration, also known as the disc method in integral calculus.

This technique stacks an endless number of discs with varied radii and minuscule thickness to produce the final three-dimensional form. To create hollow solids of revolutions, the same ideas may also be applied when using rings in place of discs (this is known as the "washer technique").

As opposed to this, shell integration integrates along an axis that is parallel to the axis of revolution. The solution can be seen in the attached images below.

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well, from 1990 to 1998 is 8 years, and we know the amount went from $4800 to $6300, let's check for the rate of growth.

\(\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$6300\\ P=\textit{initial amount}\dotfill &\$4800\\ r=rate\to r\%\to \frac{r}{100}\\ t=\textit{years}\dotfill &8\\ \end{cases} \\\\\\ 6300=4800(1 + \frac{r}{100})^{8} \implies \cfrac{6300}{4800}=(1 + \frac{r}{100})^8\implies \cfrac{21}{16}=(1 + \frac{r}{100})^8\)

\(\sqrt[8]{\cfrac{21}{16}}=1 + \cfrac{r}{100}\implies \sqrt[8]{\cfrac{21}{16}}=\cfrac{100+r}{100} \\\\\\ 100\sqrt[8]{\cfrac{21}{16}}=100+r\implies 100\sqrt[8]{\cfrac{21}{16}}-100=r\implies \stackrel{\%}{3.46}\approx r\)

now, with an initial amount of $4800, up to 2007, namely 17 years later, how much will that be with a 3.46% rate?

\(\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &4800\\ r=rate\to 3.46\%\to \frac{3.46}{100}\dotfill &0.0346\\ t=years\dotfill &17\\ \end{cases} \\\\\\ A=4800(1 + 0.0346)^{17} \implies A=4800(1.0346)^{17}\implies A \approx 8558.02\)

Answer:

Step-by-step explanation:

The equation of the line with a slope of 1/6 passes through the point (-6, 5) is y=(1/6)x+6.

What is the equation of a line?

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of line is given by,

y =mx + c

where,

x is the coordinate of the x-axis,

y is the coordinate of the y-axis,

m is the slope of the line, and

c is y-intercept.

Given that a line with a slope of 1/6 passes through the point (-6, 5). Therefore, we can write,

y = mx + c

Substitute the values,

5 = (1/6)(-6) + C

5 = -1 + C

5 + 1 = C

C = 6

Hence, the equation of the line with a slope of 1/6 passes through the point (-6, 5) is y=(1/6)x+6.

Answer:

y = (1/6)x + 7

Step-by-step explanation:

The slope-intercept form of the equation of a line is y = mx + b, where m is the slope and b is the y-intercept.

We know that the line has a slope of 1/6 and passes through the point (-6, 6). To find the y-intercept, we can substitute the values of the point into the equation and solve for b:

y = mx + b

6 = (1/6)(-6) + b

6 = -1 + b

b = 7

Now that we know the slope and y-intercept, we can write the equation of the line in slope-intercept form:

y = (1/6)x + 7

Therefore, the equation of the line in slope-intercept form is y = (1/6)x + 7.

(Please could you kindly mark my answer as brainliest)

Answer:

I'm gonna say false

GDP or Gross Domestic Profit is the money that is being spent/made inside the country. So it stands to reason that if people are spending more, the GDP would go up.

Hope this helps!

Answer:

\(V=405.04\:\mathrm{cm^3}\)

Step-by-step explanation:

The volume of a cone is given by \(V=\frac{1}{3}\cdot r^2\pi\cdot h\) (the area of the base multiplied by the height divided by 3).

In the given cone, we have \(r=6.1\:\text{cm}\) and \(h=10.4\:\text{cm}\). Substituting in these values, we get:

\(V=\frac{1}{3}\cdot 6.1^2\pi \cdot 10.4,\\V=\boxed{405.04\:\mathrm{cm^3}}\)

Answer:

  $22

Step-by-step explanation:

Given a table of popcorn volumes and prices, you want to know a reasonable price for 60 ounces of popcorn.

Plotting the given sizes and costs on a graph, we see that the relationship is linear. Using the two points (size, cost) = (10, 6) and (20, 8), we find the relation to be ...

  m = (y2 -y1)/(x2 -x1) = (8 -6)/(20 -10) = 2/10 = 0.2 . . . . slope

  b = y1 -m(x1) = 6 -0.2(10) = 4 . . . . . . y-intercept

Then the equation of the line is ...

  y = mx +b

  y = 0.2x +4

Using x=60, we find the corresponding price is ...

  y = 0.2(60) +4 = 12 +4 = 16

A consistent price is $16 for a 60-ounce container of popcorn.

__

Additional comment

The price equation suggests a fixed cost ($4) and a volume-related cost ($0.20 per ounce).

Answer:

22.7 miles

Step-by-step explanation:

The hikers start walking 15 miles due east and then they turn north and walk 17 miles to a large pond.

The shape of their journey can be represented as a right angled triangle, shown below.

To find the distance between the pond and the base camp, we need to find the hypotenuse of the triangle.

We can do this by using Pythagoras theorem:

\(hyp^2 = a^2 + b^2\)

where a and b are the other two sides of the triangle. Therefore:

\(hyp^2 = 15^2 + 17^2\\\\hyp^2 = 514\\\\hyp = \sqrt{5`4} \\\\hyp = 22.7 miles\)

The pond is 22.7 miles far from the base camp.

Answer: B

They are interior angles that are on opposite sides. Therefore they are alternate interior angles

Answer:

E and D

Step-by-step explanation:

if it interior angles, then you are left with the options of c,d,e, and f. if its alternate interior angles, then you have the pairs E-D and C-F

hope this helped! ahsad

(a) The proposition "Bob gets an A in this class, but he does not do every homework." can be written as (p ∧ ¬q) → r.

(b) The proposition "For Bob to get an A in this class, it is necessary for him to get an A on the final exam." can be written as r → p.

(c) The proposition "Bob gets an A in this class if he either does every homework or gets an A on the final." can be written as (q ∨ p) → r.

(a) The proposition can be written as (p ∧ ¬q) → r, which means that if Bob gets an A in the final exam and does not do every homework, then he still gets an A in the class. This can also be written as "If Bob gets an A on the final exam but does not do every homework, then he still gets an A in the class."

(b) The proposition can be written as r → p, which means that if Bob gets an A in this class, then it is necessary for him to get an A on the final exam. This can also be written as "If Bob gets an A in this class, then he must have gotten an A on the final exam."

(c) The proposition can be written as (q ∨ p) → r, which means that if Bob does every homework or gets an A on the final exam, then he gets an A in this class. This can also be written as "Bob gets an A in this class if he does every homework or gets an A on the final exam."

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Equation: \( 4x\degree + 2x\degree = 180°\)

Answer:

120°, 60°

Step-by-step explanation:

Since, sum of any two Supplementary angles is always 180°.

\( \therefore 4x\degree + 2x\degree = 180°\\

\therefore 6x\degree = 180°\\

\therefore 6x = 180\\\\

\therefore x = \frac{180}{6}\\\\

\therefore x = 30\\

\implies \\

4x° = (4\times 30)° = 120°\\

\&\\

2x° = (2\times 30)° = 60°\\

\)