please help meeeeee please please please

Correct option is A. The value of f(3) is -11

The value of x = 3 corresponds to the following function on the piece wise

[tex]f(x) = -3x -2[/tex]

Substitute 3 for x

[tex]f(3) = -3(3) -2[/tex]

Expand

[tex]f(3) = -9 -2[/tex]

Evaluate -9 -2

[tex]f(3) = -11[/tex]

Hence, the value of f(3) is (a) -11

To learn more about piese wise function from the given link

https://brainly.com/question/4240812

#SPJ4

Answer: A.) -11

Step-by-step explanation: i hope this helps :)

Answer:

answer is 3 ft

Step-by-step explanation:

area of circle= 3*(1)^2

The cost for 10 people equals to $ 140.

What is cost simple word?

Cost of renting bowling alley = $ 100

Additional cost of renting bowling alley per person = $ 4

⇒ Total Cost for n no. of people = 100 + 4 × n

So, Cost for 10 people = Fix $100 for bowling alley  + $4 for each 10

people

                                         = 100 + 4 × 10

                                          = 100 + 40

                                           = 140

Therefore, The cost for 10 people equals to $ 140.

Learn more about cost

brainly.com/question/20534030

#SPJ4

The angle m∠A can be represented as follows:

The above circle, a secant and a tangent intersect outside the circle.

A secant is a straight line that intersects a circle in two points.

A tangent  is a line that never enters the circle's interior.

Therefore, when a secant and a tangent intersect, the following rules applies:

m∠A = 1 / 2 (BD - BC)

m∠A = 1 / 2 (164 - 70)

m∠A = 1 / 2 (94)

m∠A = 47 degrees.

Therefore, the angle m∠A can be represented as follows:

learn more on angles here:https://brainly.com/question/19906313

#SPJ1

Answer:

632

Step-by-step explanation:

So we can define decreasing x% in two ways: we can define 20% off as 80% of the original value, or we can define subtracting 20% from the original value, and both representations are useful.

In this case it's more useful to define 20% as subtracting 20%, from the original value. The reason for this, is because since we're subtracting 20% of the original value, we then know that 126.40 is 20% the original value.

So to find x% of some value, you generally use the following equation: [tex]A*\frac{x}{100}[/tex] where A=original amount, and x is the percent. This equation is simply converting the x% to a decimal value. Since 126.40 is 20%, we can derive the following equation.

[tex]0.20A = 126.40[/tex]

We can solve for A, by dividing by 0.20

[tex]A=632\\[/tex]

It's also important to note, you didn't really have to set up this entire equation, since you know that the 126.40 is 20%, you simply could've multiplied by 5, since 20% is really just 1/5 of the entire value, so get the entire value, or original value you multiply by 5

Answer:

True

Step-by-step explanation:

You are taking away sand from the ground and adding sand to the bucket. There is less sand on the ground and more in the bucket making it inverse.

It's tempting to say that increasing the speed limit has led to higher accident rates, but you have to be careful because other variables (e.g. cheaper gas or time of year the change was introduced) can also affect accident rates. The option C is correct.

Given the impact of the speed limit increase from 55 to 65 mph, there are more crashes in the 6 months after the speed limit change than in the 6 months before the speed limit change. speed.

The dependent variable is the variable that is attempted and expected in a survey and is "dependent" on the free aspect. In a survey, the scientist tries to find the conceivable influence on the reliable variable, which can be approximated by changing the free thing. The free aspect is the variable that the experimenter adjusts or controls, and should directly affect the dependent variable. Therefore, increasing the speed limit from 55 to 65 mph resulted in higher accident rates, you have to be careful with other variables.

Learn more about quasi-experiment from here brainly.com/question/15875054

#SPJ1

The correct representation of the inequality is -6x + 15 < 10 - 5x and an open circle is at 5 and a bold line starts at 5 and is pointing to the right.

In mathematical concept, an inequality is a representation of an order linking two numbers or algebraic expressions together. These orders are called inequality signs such as greater than (>), less than (<), greater than or equal to(≥), or less than or equal to(≤). Either questions or theorems can be used to express inequality problems, and both can be solved using methods similar to those used to solve equations.

From the given information, we are given the inequality:

= -3(2x - 5) < 5(2 -x)

Open brackets, we get:

= -6x + 15 < 10 - 5x

Subtract 15 from both sides, we have:

= -6x + 15 - 15 < 10 - 5x - 15

= -6x < -5x - 5

Add 5 to both sides

= -6x + 5 < -5x - 5 + 5

= -6x + 5 < -5x

= -x < - 5

= x < 5

Learn more about solving inequalities here:

https://brainly.com/question/11613554

#SPJ1

Answer:

15 mister of cloths are needed to make 15 m if 1 puchu is 1 miter

Answer:15 meters

step by step explanation

Answer:

The answer is B, 2.78 hours

Step-by-step explanation:

Answer:

  6 hours 15 minutes, or 6.25 hours

Step-by-step explanation:

We assume Hank reads at a constant rate. His reading time will be proportional to the number of pages.

We know that 15 minutes is 1/4 hour, so the proportion can be written ...

  hours/pages = (book hours)/(250 pages) = (1/4 hour)/(10 pages)

Multiplying by 250 pages gives ...

  book hours = 250(1/4 hour)/10 = 25/4 hour = 6 1/4 hour

It will take Hank 6 1/4 hours to read the book.

2/3  is the slope of a line that is perpendicular to the line whose equation is 3x 2y=6.

What is slope?

we can find the slope from the equation that is given buy solving the equation for y

3x+2y = 6

2y = 6-3x

y = 3-3/2x

y = -3/2x+3

now that the equation is in slope-intercept form, we can easily see that the slope of the given line is -3/2

perpendicular lines have slopes that are negative reciprocals, so we can just take the negative reciprocal of the slope we have

-3/2 → 3/2 → 2/3

Therefore, the slope of the perpendicular line is 2/3.

Learn more about slope

brainly.com/question/3605446

#SPJ4

for 5 bucks a plate its 39 for 6 bucks its 33

Step-by-step explanation:

The values of the trigonometry functions are sin(α) = 4/7, cos(β) = 4/7, tan(α) = 4/√33, cot(β) = 4/√33, sec(α) = 7/√33 and sec(β) = 7/√4

The figure that completes the question is added as an attachment

From the figure, we have the third side of the triangle to be

Third = √(7^2 - 4^2)

Evaluate

Third = √33

The sin(α) is calculated as:

sin(α) = Opposite/Hypotenuse

This gives

sin(α) = 4/7

The cos(β) is calculated as:

cos(β) = Adjacent/Hypotenuse

This gives

cos(β) = 4/7

The tan(α) is calculated as:

tan(α) = Opposite/Adjacent

This gives

tan(α) = 4/√33

The cot(β) is calculated as:

cot(β) = Adjacent/Opposite

This gives

cot(β) = 4/√33

The sec(α) is calculated as:

sec(α) =  Hypotenuse/Adjacent

This gives

sec(α) = 7/√33

The csc(β) is calculated as:

sec(β) = Hypotenuse/Opposite

This gives

sec(β) = 7/√4

Hence, the values of the trigonometry functions are sin(α) = 4/7, cos(β) = 4/7, tan(α) = 4/√33, cot(β) = 4/√33, sec(α) = 7/√33 and sec(β) = 7/√4

Read more about trigonometry functions at

https://brainly.com/question/24349828

#SPJ1

Answer:

y does not depend on x - it is not a function

That leaves (2) or (4)

Since one does not need y in the equation (4) is eliminated

(2) is the only possible result

For example:        x = 5

Answer:

-13x²+24x+6

Hope this helps:)

Answer: (x) = x^3 − x^2 − 4x + 4End behavior- Falls to the left rises to the righty intercept-(0, 4)Zeros- (1,-2,2)g(x) = x^3 + 2x^2 − 9x − 18

Step-by-step explanation:

Answer:q = 6+43r/9

Step-by-step explanation:

Assuming R=9q-43r-6 is what you meant
R+6 = 9q - 43r
R + 6 + 43r = 9q
q = 6+43r/9

The correct option B.

The value of the zeros of function g is -6 and 7

Any equation that can be rewritten in standard form as where x represents an unknown, a, b, and c represent known numbers, and where a 0 is true is a quadratic equation. As there is no ax2 term when a = 0, the equation is linear rather than quadratic.

The factors are  (x − 7) and (x + 6)

On simplifying the we get:

x²+ 6x -7x -42 = 0

x² - x - 42 = 0

The factorizing these equation we get.

So the zeros are -6 and 7 , so option b is correct.

[tex]x_{1,2}=\frac{-(-1) \pm \sqrt{(-1)^{2}-4 \cdot 1 \cdot(-42)}}{2 \cdot 1}[/tex]

[tex]$$x_{1,2}=\frac{-(-1) \pm 13}{2 \cdot 1}\\[/tex]

[tex]x_1,_2[/tex] = ((1) ± 13)/2.1

[tex]x_1[/tex]    = (1+13)/2.1

[tex]x_2[/tex]     = (1 - 13)/2.1

[tex]X_1\\[/tex] = 7 , [tex]X_2[/tex] = -6

The Zeros of the function are: (7 , -6)

To know more about Quadratic equation visit:

https://brainly.com/question/11589380

#SPJ4

Answer:

Step-by-step explanation:

Remember the midpoint formula:

[tex](\frac{x2+x1}{2},\frac{y2+y1}{2} )\\[/tex]

Substitute in your values

 [tex](\frac{7.6+21.8}{2},\frac{1.7+9.3}{2} )\\[/tex]

Solve

[tex](\frac{29.4}{2},\frac{11}{2} )\\(14.7,5.5)\\[/tex]

Answer: (14.7,5.5)

Step-by-step explanation: I got it right on the test...

Last option, (-2,6) where the lines intercept / cross over each other.

Hope this helps!

Answer:

[tex]4\ln \left| \dfrac{1}{3}\sqrt{9+(\ln x)^2} + \dfrac{1}{3}\ln x \right|+\text{C}[/tex]

Step-by-step explanation:

Fundamental Theorem of Calculus

[tex]\displaystyle \int \text{f}(x)\:\text{d}x=\text{F}(x)+\text{C} \iff \text{f}(x)=\dfrac{\text{d}}{\text{d}x}(\text{F}(x))[/tex]

If differentiating takes you from one function to another, then integrating the second function will take you back to the first with a constant of integration.

Given indefinite integral:

[tex]\displaystyle \int \dfrac{4}{x\sqrt{9+(\ln(x))^2}}\:\:\text{d}x[/tex]

Rewrite 9 as 3²:

[tex]\implies \displaystyle \int \dfrac{4}{x\sqrt{3^2+(\ln(x))^2}}\:\:\text{d}x[/tex]

Integration by substitution

[tex]\boxed{\textsf{For }\sqrt{a^2+x^2} \textsf{ use the substitution }x=a \tan\theta}[/tex]

[tex]\textsf{Let } \ln x=3 \tan \theta[/tex]

[tex]\begin{aligned}\implies \sqrt{3^2+(\ln x)^2} & =\sqrt{3^2+(3 \tan\theta)^2}\\ & = \sqrt{9+9\tan^2 \theta}\\ & = \sqrt{9(1+\tan^2 \theta)}\\ & = \sqrt{9\sec^2 \theta}\\ & = 3 \sec\theta\end{aligned}[/tex]

Find the derivative of ln x and rewrite it so that dx is on its own:

[tex]\implies \ln x=3 \tan \theta[/tex]

[tex]\implies \dfrac{1}{x}\dfrac{\text{d}x}{\text{d}\theta}=3 \sec^2\theta[/tex]

[tex]\implies \text{d}x=3x \sec^2\theta\:\:\text{d}\theta[/tex]

Substitute everything into the original integral:

[tex]\begin{aligned} \implies \displaystyle \int \dfrac{4}{x\sqrt{9+(\ln(x))^2}}\:\:\text{d}x & = \int \dfrac{4}{3x \sec \theta} \cdot 3x \sec^2\theta\:\:\text{d}\theta\\\\ & = \int 4 \sec \theta \:\: \text{d}\theta\end{aligned}[/tex]

Take out the constant:

[tex]\implies \displaystyle 4 \int \sec \theta\:\:\text{d}\theta[/tex]

[tex]\boxed{\begin{minipage}{7 cm}\underline{Integrating $\sec kx$}\\\\$\displaystyle \int \sec kx\:\text{d}x=\dfrac{1}{k} \ln \left| \sec kx + \tan kx \right|\:\:(+\text{C})$\end{minipage}}[/tex]

[tex]\implies 4\ln \left| \sec \theta + \tan \theta \right|+\text{C}[/tex]

[tex]\textsf{Substitute back in } \tan\theta=\dfrac{1}{3}\ln x :[/tex]

[tex]\implies 4\ln \left| \sec \theta + \dfrac{1}{3}\ln x \right|+\text{C}[/tex]

[tex]\textsf{Substitute back in } \sec\theta=\dfrac{1}{3}\sqrt{9+(\ln x)^2}:[/tex]

[tex]\implies 4\ln \left| \dfrac{1}{3}\sqrt{9+(\ln x)^2} + \dfrac{1}{3}\ln x \right|+\text{C}[/tex]

Learn more about integration by trigonometric substitution here:

https://brainly.com/question/28157322

https://brainly.com/question/28156093

In regression, the difference between the confidence interval and the prediction interval formula is "The addition of 1 to the quantity under the radical sign i.e., standard error".

The formula for the confidence interval is

[tex]y_h[/tex] ± [tex]t_{(1-\alpha /2,n-2)[/tex] × √(MSE([tex]\frac{1}{n}[/tex] + ([tex]x_h[/tex] - μ)²/∑([tex]x_i[/tex] - μ)²))

The formula for prediction interval is

Prediction interval = Sample estimate ± (t multiplier × standard error)

[tex]y_{new}[/tex] = [tex]y_h[/tex] ± [tex]t_{(1-\alpha /2,n-2)[/tex] × √(MSE(1 + [tex]\frac{1}{n}[/tex] + ([tex]x_h[/tex] - μ)²/∑([tex]x_i[/tex] - μ)²))

Where μ = x bar.

From the above, the prediction interval has one additional MSE term in the standard error calculation. But in the confidence interval, only one term is used.

So, the difference between them occurs in the standard error value.

The formula shows it by adding 1 to the quantity under the radical sign.

Thus, the difference is in the standard error.

Learn more about the confidence and prediction intervals here:

https://brainly.com/question/24245026

#SPJ1

If Mary measures the angle of elevation from a point A, to be 10°. She then walks 100m directly towards the tower, and finds the angle of elevation from the new point B to be 20°, the height of the tower comes out to be 37 meters.

Given Information and Formula Used:

The angle of elevation of the tower from point A (a in figure) = 10°

The angle of elevation of the tower from point B (b in figure) = 20°

The distance AB (ab n figure) = 100m

In right triangle adc, tan 10° = cd / ad ....... (1)

In right triangle bdc, tan 20° = cd / bd ......... (2)

Here, cd is the height of the tower.

Let the distance bd be x, then the ad = x + 100

Substituting this value of of ad in equation (1), we get,

tan 10° = cd / (x+100)

x+100 = cd / tan 10°

x+100 = cd / 0.18

x+100 = 5.6 cd ....... (3)

From equation (2),

tan 20° = cd / x

x = cd / tan 20°

x = cd / 0.34

x = 2.9 cd

Putting this value of x in equation (3), we obtain the height cd (or CD) as,

2.9 cd + 100 = 5.6 cd

(5.6 - 2.9)cd = 100

2.7cd = 100

cd = 100/2.7

cd ≈ 37m (To the nearest tenth of a meter)

Therefore, the height of the tower is calculated to be 37 meters.

Learn more on height here:

https://brainly.com/question/10724305

#SPJ1

The intermediate value theorem applies to the indicated interval and the importance of c guaranteed by the theorem is c=2,3.

Especially, he has been credited with proving the following five theorems:  a circle is bisected via any diameter; the bottom angles of an isosceles triangle are the same;  the other (“vertical”) angles are shaped by means of the intersection of two traces are same; two triangles are congruent (of identical form and size.

In mathematics, a theorem is an announcement that has been proved or may be proved. The evidence of a theorem is a logical argument that makes use of the inference guidelines of a deductive system to set up that the concept is a logical result of the axioms and formerly proved theorems.

In line with the Oxford dictionary, the definition of the concept is ''a rule or principle, especially in arithmetic, that may be proved to be true''. For example, in arithmetic, the Pythagorean theorem is a  theorem and is maximum extensively used in the domain of science.

2-1and interval = [4]

since function text is continuous in a given interval. And also

+(4) = 42+4 = 4-1

20 = 6667

$(5/4) = ($145/2

stone-1

= 5.833

simple, f(4) > $(5/2), hence Intermediate

Theorem & applies to the indicated proved.

Now,

= 6 C-1

C-5c +6 = 0

C=2 or c=3

1=3 or

C= 2, 3

<= 2

Learn  more about theorem here https://brainly.com/question/26594685

#SPJ4

330 ways can the instructor choose the first group of four education students.

What is probability in math?

Given:

12 students

3 groups consisting of 4 students.

Mark can't be in the first group.

The combination formula that I used is =  n! / r!(n-r)!

where: n = number of choices ; r = number of people to be chosen.

This is the formula I used because the order is not important and repetition is not allowed.

Since Mark can't be considered in the first group, the value of n would be 11 instead of 12. value of r is 4.

numerator: n! = 11! = 39,916,800

denominator: r!(n-r)! = 4!(11-4)! = 4!*7! = 120,960

Combination = 39,916,800 / 120,960 = 330

Therefore, There are 330 ways that the instructor can choose 4 students for the first group.

Learn more about probability

brainly.com/question/14281453

#SPJ4

its c! there isnt a decrease between x = -1 and x = 0, as when x = -1 y = 0 and when x = 0 y = 2, showing an increase of +2.

The root test is Divergent, for given [infinity] 1 nn n = 1.

The foundation take a look at to research the restrict of the nth root of the nth time period of your collection. Like with the ratio check, if the restrict is less than 1, the series converges; if it is extra than 1 (together with infinity), the series diverges; and if the restrict equals 1, you analyze not anything.

The root check this collection is divergent. again, there is not too much to this series. therefore, with the aid of the root take a look at this collection converges clearly and hence converges. notice that we needed to maintain the absolute cost bars at the fraction until we would taken the limit to get the sign accurate

Root test requires you to calculate the value of R the usage of the components under. If R is greater than 1, then the series is divergent. If R is less than 1, then the series is convergent.

explanation:

If tan is series

if Lim n root (1) = l

if l =<1 than it is convergent

if l = > 1 than it is divergent

Learn more about root here:-https://brainly.com/question/620307

#SPJ4

Answer:

5.75 - 5 3/4

Step-by-step explanation:

1 Cup = 0.0625 gallons

92 cups = 5.75 gallons