Which of the following functions is depicted?

Answer:

48

Step-by-step explanation:

4/10 x 120 = (120/10) x 4 = 12 x 4 = 48

another way:

4//10 x 120/1 = 480/10 = 48

If my answer is incorrect, pls correct me!

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-Chetan K

Answer:

Answer. The numbers are 4 and 5. Their sum = 25 + 16 = 41.

Answer:

constant is - 19

Step-by-step explanation:

the constant is the term in an expression with no variable attached to it.

12r + \(\frac{r}{2}\) - 19

the only term without the variable r attached to it is - 19

then the constant term is - 19

Answer:

\(thank \: you\)

Answer:

A and D

Step-by-step explanation:

It just is

The methods to make a fair decision is option A and D.

Probability is the measure of likeliness of an event to happen, each event is given a fair chance.

The methods to make fair decision can be:

Ten cards have different numbers. Each student picks a card at random. The student who picks the lower number wins. : Fair, as both will have equal chance of winning.

Roll a number cube. If it lands on 1, 2, 3, or 4, Robert wins. : Not fair, as Robert has more chances to win.

Give the students a math problem. The student who is first to solve the problem wins.: Not fair, as both the students can have different aptitude for maths.

Toss a coin twice. If both tosses are heads or both tosses are tails, Makayla wins. If one is heads and one is tails, Robert wins. : Fair, as both have equal chances to win.

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Answer:

2,1

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

i think i do am not si sure

Answer:

A, the first option

Step-by-step explanation:

1. Add 15 to both sides to cancel out the 15 from the left. (5x < -50)

2.  Divide both sides by 5 to cancel out the 5 from the left. ( x < -10)

This inequality does not include the -10 because it's less than -10 not less than or equal to. So, the point at -10 should not be filled in.

x has to be LESS than, so the graph should include numbers that are less than -10 which leads us to our answer, A.

Answer:

\(16 ^\frac{3}{4} = \sqrt[4]{16^3}\)

Step-by-step explanation:

Given

\(16 ^\frac{3}{4}\)

Required

The equivalent

Using the following law of indices,

\(a ^\frac{m}{n} = \sqrt[n]{a^m}\)

We have:

\(16 ^\frac{3}{4} = \sqrt[4]{16^3}\)

The equation of the cubic polynomial is f(x) = x³ - x² -9x + 9.

What is a polynomial function?

Polynomial functions are defined for all values of x and have a finite number of roots (x-values at which the function is equal to 0). The roots of a polynomial function can be found by solving the equation f(x) = 0.

By using the given table, we can plot the points on the graph and we can draw a graph

• Fitted coefficients:

a = 9

b = -9

c = -1

d = 1

Then we can prepare the polynomial as

y = 9 - 9x - x² + x³

Now write down in the standard form, we get

f(x) = x³ - x² -9x + 9

Hence, the equation of the cubic polynomial is f(x) = x³ - x² -9x + 9.

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2,3

1,1.5

maybe, hope this helps

The circumference of a circle with a radius of 14 feet is 88 feet.

Every point in the surface of a circle, which is a circular, two-dimensional object, is evenly separated from the centre. All lines that cross the circle join together to produce the line of reflected symmetry. Each angle has axis of symmetry around the centre, in addition. Monitoring a linear interpolation in a surface while keeping a fixed distance from some other point will result in the closed shape of a circle. The English term circle derives from the Greek word curriculum provides students, which also means hoop or ring.

When we find the circumference, we obtain:

The  circumference( C) of a circle is 2πr.

C=2πr

⇒C=2×\(\frac{22}{7}\)×14=88 feet.

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Answer:

59/3

Explanation:

8 5/12 + 11 1/4 in simplest form is 59/3.

Answer:

2x48 is 96

Step-by-step explanation:

Answer:

x= 1  29/67

Step-by-step explanation:

just do 2x 48/67 on a fraction calculator and boom heres x. Lol, hope this helps.

We get the following answers;

(a) The necessary histogram has been created and is supplied below.

(b) According to the data, it is indeed dangerous to drive close to home. Because 23% and 29% of accidents occur within 1 to 5 miles of home, respectively.

Step 1: in 2001, progressive insurance asked customers who had been involved in auto accidents how far they were from home when the accident happened. the data are summarized in the table.

Step 2:

Table :

Miles from home          % of accidents      Cumulative

Less than 1                               23                        23

1 to 5                                         29                        52

6 to 10                                       17                         69

11 to 15                                       8                          77

16 to 20                                     6                         83

over 20                                     17                        100

(a) the required histogram is made and attached below.

(b) Yes, the data indicates that driving near home is particularly dangerous. Because, less than , 1 to 5 miles from home 23%, 29% of accidents.

Hence we get the required answers.

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Answer:

\(h'(-4) = 5760\)

Step-by-step explanation:

We are given the function:

\(\displaystyle h(x) = (f\circ g)(x)\)

And we want to find h'(-4) given:

\(\displaystyle f(x) = -6x^2 + 7\)

And that the equation of the tangent line of g at x = -4 is y = 10x - 8.

Recall that (f ∘ g)(x) = f(g(x)). Hence:

\(\displaystyle h(x) = f(g(x))\)

Find h'(x). We can take the derivative of both sides with respect to x:

\(\displaystyle \frac{d}{dx}\left[ h(x)\right] = \frac{d}{dx}\left[ f(g(x))\right]\)

By the chain rule:

\(\displaystyle h'(x) = f'(g(x)) \cdot g'(x)\)

Therefore:

\(\displaystyle h'(-4) = f'(g(-4)) \cdot g'(-4)\)

A) Finding f'(g(-4)):

Recall that we are given that the equation of the tangent line of g at x = -4 is:

\(\displaystyle y = 10x - 8\)

Since this is tangent, it tells us that at x = -4, line y touches g. Therefore, y(-4) = g(-4). Find y(-4):

\(\displaystyle \begin{aligned} y(-4)&= 10(-4) - 8 \\ \\ &= -48\end{aligned}\)

Hence, g(-4) = -48. Consequently, f'(g(-4)) = f'(-48).

Find f'(x):

\(\displaystyle \begin{aligned} f'(x) &= \frac{d}{dx}\left[ -6x^2 + 7\right] \\ \\ &= -12x\end{aligned}\)

So:

\(\displaystyle \begin{aligned} f'(-48) &= -12(-48) \\ \\ &= 576\end{aligned}\)

Therefore, f'(g(-4)) = 576.

B) Finding g'(-4):

Recall that by definition, the derivative of a function at a point is the slope of the tangent line to the point.

The tangent line to g at x = -4 is given by:

\(y = 10 x- 8\)

The slope of the line is 10. Therefore:

\(g'(-4) = 10\)

Hence:

\(\displaystyle \begin{aligned}h'(-4) &= f'(g(-4)) \cdot g'(-4) \\ \\ &= (576) \cdot (10) \\ \\ &= 5760 \end{aligned}\)

In conclusion:

\(h'(-4) = 5760\)

9514 1404 393

Answer:

Step-by-step explanation:

Let a, o, v represent the prices of one each of apples, oranges, and avocados, respectively. Then the equations describing the purchases can be written ...

  6a +6o +6v = 19.50

  12a +2o +1v = 9.50

  2a +4o +5v = 14.00

__

Dividing the first equation by 6 makes it ...

  a +o +v = 3.25

Subtracting this from the second equation gives ...

  (12a +2o +v) -(a +o +v) = (9.50) -(3.25)

  11a +o = 6.25

Subtracting the third equation from 5 times the reduced first equation gives ...

  5(a +o +v) -(2a +4o +5v) = 5(3.25) -(14.00)

  3a +o = 2.25

The difference of these last two equations is ...

  (11a +o) -(3a +o) = (6.25) -(2.25)

  8a = 4.00

  a = 0.50

Then the other values are ...

  o = 2.25 -3(a) = 0.75

  v = 3.25 -a -o = 2.00

The unit prices are:

  apples -- $0.50

  oranges -- $0.75

  avocados -- $2.00

_____

Additional comment

Most graphing or scientific calculators will solve systems of equations like these. Using an appropriate tool, it takes less time to find the solution than to read this one.

Note that the last purchase description in the problem statement has the items in a different order than in the first two descriptions. Care must be taken to make sure the correct equations are written.

Answer:

345897

Step-by-step explanation:

423786945

The slope is 3 this is intergers solution the right side is positive and left side is negative

Answer:

49

Step-by-step explanation:

because it is the middle

The volume of the cylinder is the amount of space on it

The volume of the oblique cylinder is 174.19 cubic units

The given parameters are:

AB = 16 units

Radius (r) = 2 units

\(\theta = 30^o\)

Start  by calculating the height (h) using:

\(h = 16 * \cos(30^o)\)

This gives

\(h = 13.86\)

The volume of the cylinder is then calculated as:

\(V = \pi r^2 h\)

This gives

\(V = 3.142 * 2^2 * 13.86\)

\(V = 174.19248\)

Approximate

\(V = 174.19\)

Hence, the volume of the oblique cylinder is 174.19 cubic units

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Answer:

0.098 > 0.059 > 0.046 > 0.01

Step-by-step explanation:

try to make them in same number of digits.

0.098

0.059

0.046

0.010

you can add 0 to right side after the decimal :)

so just compare the last two digits of these numbers.

Answer:

4 , 1 , 3 , 2

Step-by-step explanation:

we know since the first value  is the same they are both 0 but the second value is different so we descend it from that order

Answer:

a cube

Step-by-step explanation:

there the answer

1st one..

hope it helps you ❣❣

form india

Answer:

the mean would increase to a value to about 24.6

Q2: median is 7.

Step-by-step explanation:

Answer:

Q1) the mean would increase in value to about 24.6

Q2) 7

Answer:

\(\sqrt{108} \\\)

Step-by-step explanation:

the area of a square is it's side squared.  The side would just be the square root of the area

The 99% confidence interval for the true population mean backpack weight is approximately (68.15, 71.85) ounces, rounded to two decimal places.

To construct a 99% confidence interval for the true population mean backpack weight, we can use the formula:Confidence Interval = Sample Mean ± (Critical Value * Standard Deviation / √Sample Size).

Since the population standard deviation is known, we can use the z-distribution and find the critical value corresponding to a 99% confidence level. The critical value for a 99% confidence level is approximately 2.576.

Given that the sample mean weight is 70 ounces, the population standard deviation is 6.4 ounces, and the sample size is 48, we can calculate the confidence interval:

Confidence Interval = 70 ± (2.576 * 6.4 / √48).

Simplifying the expression, we get:

Confidence Interval ≈ 70 ± 1.855.

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Out of the 400 surveyed students, 327 were either seniors or commuters.

To find the number of students who were either seniors or commuters out of the 400 surveyed students, we need to add the number of seniors and the number of commuters while avoiding double-counting those who fall into both categories.

According to the information given:

There were 262 seniors.

There were 215 commuters.

150 of the seniors were also commuters.

To avoid double-counting, we need to subtract the number of seniors who were also commuters from the total count of seniors and commuters.

Seniors or commuters = Total seniors + Total commuters - Seniors who are also commuters

= 262 + 215 - 150

= 327

Therefore, out of the 400 surveyed students, 327 were either seniors or commuters.

It's important to note that in this calculation, we accounted for the overlap between seniors and commuters (150 students who were both seniors and commuters) to avoid counting them twice.

This ensures an accurate count of the students who fall into either category.

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Using a calculator, the value of  csc (203°) is -1.086

Trigonometry is a branch of mathematics dealing with the relationship between the ratios of the sides of a right-angled triangle with its angles.

Since csc (203°) = 1/[sin (203°)]

Press 1/ [sin (203°)] and then the equal to button on your calculator. We have:

1/[sin (203°)] = -1.086

Note: If you calculator have "cosec" or "csc" button, you can simply press cosec (203°) or csc (203°) to get the answer.

Thus, the value of  csc (203°) is -1.086

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The transverse axis has a length of 5 units.

A transverse axis is a line that divides a conic section (such as an ellipse or hyperbola) into two symmetric parts. In the case of an ellipse, the transverse axis is the major axis, and it runs perpendicular to the minor axis.

To find the length of the transverse axis, we can use the equation (x − 1)²/a² + (y + 3)²/b² = 1, where a and b are the lengths of the major and minor axes, respectively.

The given equation is :

(x−h)²/a² + (y−k)²/b² = 1

Where h and k are the coordinates of the center of the ellipse.

Now we can substitute the given values in the equation

(x−1)²/25 + (y+3)²/9 = 1

To find the length of the transverse axis, we can take square root of the major axis value, a² = 25

√25 = 5

So the length of the transverse axis is 5 units.

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Answer:

98.91

Step-by-step explanation:

rounded to 2 decimal places