help, I don't understand

ASAP NOW


​

Answer:

16

Step-by-step explanation:

3^x +1 = f(X)

2x-4 = g(x)

find f(2)-g(-1)

we substitute in function f(X) by value (2), and in function g(X) by value (-1)

1. 3^x +1 becomes 3^2+1 =9+1=10

2. 2(-1)-4= -2-4=-6

then f(2)-g(-1)

= 10-(-6) =10+6=16

1. The scale factor here in the dilation is 4/3.

2. Yes, dilation occurred on the coordinate plane below. The scale factor for the dilation is -4/3.

During the process of dilatation, an object must be reduced in size or changed. It is a transformation that uses the given scale factor to shrink or expand the objects. The image is the new figure that forms as a result of dilatation, whereas the pre-image is the original figure. There are two kinds of dilation:

A rise in an object's size is referred to as expansion.

Contraction is the term used for a reduction in size.

Here in the question,

The coordinates of the point B change from (-3,6) to (-4,8).

The scale factor here is -4/-3=4 or 8/6=4/3.

Now, when the dilation happens below the plane, the coordinates will be (x,-y)

So, the dilation factor will be -4/3.

To know more about dilation, visit:

https://brainly.com/question/13176891

#SPJ1

Answer:

The probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068

Step-by-step explanation:

We use the Exponential distribution,

Since we are given that on average, 5 pregnant women with high blood pressure come per week,

So, average = m = 5

Now, on average, 5 people come every week, so,

5 women per week,

so, we get 1 woman per (1/5)th week,

Hence, the mean is m = 1/5 for a woman arriving

and λ = 1/m = 5 = λ

we have to find the probability that it takes higher than a week for a high BP pregnant woman to arrive, i.e,

P(X>1) i.e. the probability that it takes more than a week for a high BP pregnant woman to show up,

Now,

P(X>1) = 1 - P(X<1),

Now, the probability density function is,

\(f(x) = \lambda e^{-\lambda x}\)

And the cumulative distribution function (CDF) is,

\(CDF = 1 - e^{-\lambda x}\)

Now, CDF gives the probability of an event occuring within a given time,

so, for 1 week, we have x = 1, and λ = 5, which gives,

P(X<1) = CDF,

so,

\(P(X < 1)=CDF = 1 - e^{-\lambda x}\\P(X < 1)=1-e^{-5(1)}\\P(X < 1)=1-e^{-5}\\P(X < 1) = 1 - 6.738*10^{-3}\\P(X < 1) = 0.9932\\And,\\P(X > 1) = 1 - 0.9932\\P(X > 1) = 6.8*10^{-3}\\P(X > 1) = 0.0068\)

So, the probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068

Answer:

f(x) = 3(x − 9)^2 + 4

To find the inverse of f(x), first we denote: y = 3(x - 9)^2 + 4, we then find a way to express x in term of y.

     y = 3(x - 9)^2 + 4

<=> y - 4 = 3(x - 9)^2

<=> (y - 4)/3 = (x - 9)^2

<=> sqrt[(y - 4)/3] = x - 9

<=> x = sqrt[(y - 4)/3] + 9

Denote left side is g(x), and variable y on the right side is x, we have:

g(x) = sqrt[(x - 4)/3] + 9

g(x) is inverse of f(x)

Here, (x - 4)/3 must be not a negative number (because of the definition of square root (sqrt) of a real number)

=> x - 4 >= 0 or x >= 4

=> The restriction domain of g(x), which is the inverse of f(x) is x >= 4

Answer: 4.5

Step-by-step explanation: 7 is incorrect

Using proportions, it is found that 375 products are produced with 15 workers in 5 hours.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, we have that the rule of three are given as follows:

1000 products - 20 workers - 10 hours.

x products - 15 workers - 5 hours.

The measures are direct proportional, hence:

\(\frac{1000}{x} = \frac{20}{15} \times \frac{10}{5}\)

\(\frac{1000}{x} = \frac{40}{15}\)

Applying cross multiplication:

40x = 15(1000)

x = 15(1000)/40

x = 375.

375 products are produced with 15 workers in 5 hours.

More can be learned about proportions at https://brainly.com/question/24372153

Answer:

Its F $1.75

Step-by-step explanation:

Because you add all the numbers up then once you get your answer you divided it by how many numbers there are like you'll get 8.75 divide it by 5 and you have your answer

Answer:

The Answer is H $1.14

Step-by-step explanation:

First You have to add both mean in the second column:

$1.29+0.99=$2.28

Then you have to divide the price that u given in the second column that u get after u add both the price :

$2.29/2=1.14

∴The mean price of apples per pound is $1.14

Answer:

The smallest sample size required to obtain the desired margin of error is of 17.

Step-by-step explanation:

We have that to find our \(\alpha\) level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\(\alpha = \frac{1-0.9}{2} = 0.05\)

Now, we have to find z in the Ztable as such z has a pvalue of \(1-\alpha\).

So it is z with a pvalue of \(1-0.05 = 0.95\), so \(z = 1.645\)

Now, find the margin of error M as such

\(M = z*\frac{\sigma}{\sqrt{n}}\)

In which \(\sigma\) is the standard deviation of the population and n is the size of the sample.

Which of these is the smallest approximate sample size required to obtain the desired margin of error?

The desired margin of error is 20, so \(M = 20\)

We have that \(\sigma = 50\).

The smallest sample size is n. So

\(M = z*\frac{\sigma}{\sqrt{n}}\)

\(20 = 1.645*\frac{50}{\sqrt{n}}\)

\(20\sqrt{n} = 50*1.645\)

\(\sqrt{n} = \frac{50*1.645}{20}\)

\((\sqrt{n})^2 = (\frac{50*1.645}{20})^2\)

\(n = 16.9\)

Rounding up

The smallest sample size required to obtain the desired margin of error is of 17.

There are total 15 students per teacher and 8 students per tutor. For 100 students, total 13 tutors are required.

The four fundamental operations of arithmetic are addition, subtract, multiply, and division of two or more numbers. Included in them is the study of integers, especially the order of operations, which is important for all other aspects of mathematics, notably algebra, information management, and geometry.

As per the given data provided in the question,

4 teachers  = 60 students

For 1 teacher = 60/4 = 15 students

Similarly,

6 tutors = 48 students

For 1 tutor = 48/6 = 8 students.

For total 100 students, total number of tutors = 100/8

= 12.5 or 13 tutors are required.

To know more about arithmetic operation:

https://brainly.com/question/13585407

#SPJ1

Answer:

9

Step-by-step explanation:

9 is the answer bc

6+2=8

72/8=9

(lol I hope I helped)

Answer:

40%

Step-by-step explanation:

i used a calculator

Consider the given quadratic equation that we have :

\({:\implies \quad \sf -5x^{2}+5=-2x}\)

Multiplying both sides by -1 will yield ;

\({:\implies \quad \sf 5x^{2}-5=2x}\)

Write the above quadratic equation in the form of standard quadratic equation ax² + bx + c = 0 ,

\({:\implies \quad \sf 5x^{2}-2x-5=0}\)

Now , comparing this with the standard form of quadratic equation we will get a = 5 , b = -2 , c = -5 . So now , Discriminant (D) = (-2)² - 4 × 5 × -5 = 4 + 100 = 104

Now , by the quadratic formula ;

\({:\implies \quad \sf x=\dfrac{-(-2)\pm \sqrt{104}}{2\times 5}}\)

\({:\implies \quad \sf x=\dfrac{2\pm 2\sqrt{26}}{2\times 5}}\)

\({:\implies \quad \sf x=\dfrac{\cancel{2}(1\pm \sqrt{26})}{\cancel{2}\times 5}}\)

\({:\implies \quad \bf \therefore \quad \underline{\underline{x=\dfrac{1\pm \sqrt{26}}{5}}}}\)

For any quadratic equation of the form ax² + bx + c , the Discriminant (D) is given by D = b² - 4ac , and the root \(\bf x\) of the quadratic equation is given by the quadratic formula as

Answer:

The distance is approximately 10.4 miles.

Answer:

exact distance is = 7.28010988928

rounded to the tenth of a mile is

distance is approximately 7.3 miles

Step-by-step explanation:

hypotenuse of a triangle that's 2 by 7

Pythagorean theorem

a^2 + b^2 = c^2

2^2 + 7^2 = c^2

4 + 49 = c^2

c^2 = 53

c = √53

c = 7.28010988928

tenth of a mile is

c = 7.3

Answer: The next term is -243.

Answer:

-243

Step-by-step explanation:

The common ratio in this geometric sequence is -3. Therefore, the next term will be 81(-3) = -243.

Answer:

x = -4/3 and x = 5/2.

Step-by-step explanation:

6x² - 7x = 20

6x² - 7x - 20 = 0

To solve this, we can use the quadratic formula to solve this.

[please ignore the A-hat; that is a bug]

\(\frac{-b±\sqrt{b^2 - 4ac} }{2a}\)

In this case, a = 6, b = -7, and c = -20.

\(\frac{-(-7)±\sqrt{(-7)^2 - 4 * 6 * (-20)} }{2(6)}\)

= \(\frac{7±\sqrt{49 + 80 * 6} }{12}\)

= \(\frac{7±\sqrt{49 + 480} }{12}\)

= \(\frac{7±\sqrt{529} }{12}\)

= \(\frac{7±23 }{12}\)

\(\frac{7 - 23 }{12}\) = \(\frac{-16 }{12}\) = -8 / 6 = -4 / 3

\(\frac{7 + 23 }{12}\) = \(\frac{30}{12}\) = 15 / 6 = 5 / 2

So, x = -4/3 and x = 5/2.

Hope this helps!  

Answer:

Step-by-step explanation:

\(6 {x}^{2} - 7x = 20\)

Move constant to the left and change its sign

\( {6x}^{2} - 7x - 20 = 0\)

Write -7x as a difference

\(6 {x}^{2} + 8x - 15x - 20 = 0\)

Factor out 2x from the expression

\(2x(3x + 4) - 15x - 20 = 0\)

Factor out -5 from the expression

\(2x(3x + 4) - 5(3x + 4) = 0\)

Factor out 3x + 4 from the expression

\((3x + 4)(2x - 5) = 0\)

When the product of factors equals 0 , at least one factor is 0

\(3x + 4 = 0\)

\(2x - 5 = 0\)

Solve the equation for X1

\(3x + 4 = 0\)

Move constant to right side and change its sign

\( 3x = 0 - 4\)

Calculate the difference

\(3x = - 4\)

Divide both sides of the equation by 3

\( \frac{3x}{3} = \frac{ - 4}{3} \)

Calculate

\(x = - \frac{4}{3} \)

Again,

Solve for x2

\(2x - 5 = 0\)

Move constant to right side and change its sign

\(2x = 0 + 5\)

Calculate the sum

\(2x = 5\)

Divide both sides of the equation by 2

\( \frac{2x}{2} = \frac{5}{2} \)

Calculate

\(x = \frac{5}{2} \)

\(x1 = - \frac{4}{3} \)

\(x2 = \frac{5}{2} \)

Hope this helps...

Best regards!!

The exact value of the trigonometric function cos ( u - v) in the second quadrant is equal to cos ( u - v ) = 56 / 65.

In the second quadrant,

Trigonometric function sine is always positive.

And trigonometric function cosine is always negative.

Here value of trigonometric function

sin u = 5 / 13

cos v = -3 /5

cos u = √ 1 - sin² u

⇒ cos u = √ 1 - ( 5 / 13 )²

⇒ cos u = √ 144/169

⇒ cos u = -12 / 13

And

sin v = √ 1 - cos² v

⇒ sin v = √ 1 - ( -3/5 )²

⇒ sin v = √ 16/25

⇒ sin v = 4 / 5

Now exact value of trigonometric function

cos ( u - v ) = cos u cos v + sin u sin v

Substitute the value we get,

⇒ cos ( u - v ) = (-12/13)(-3/5) + ( 5/13)(4/5)

⇒ cos ( u - v ) = 36 / 65 + 20 / 65

⇒ cos ( u - v ) = 56 / 65

Therefore , the value of the trigonometric function cos ( u - v ) = 56 / 65.

Learn more about trigonometric function here

brainly.com/question/20593351

#SPJ4

The above question is incomplete, the complete question is:

Find the exact value of the trigonometric function cos(u - v) .

Given that sin u 5/13 and cos v -3/5. (Both u and v are in Quadrant II.)

Answer:

\(-\frac{9}{1}\)

Step-by-step explanation:

Its just the same way as making positive 9
a fraction, but just add the negative sign.

Hope this helps :))

One possible set is {[1 -4 5 4], [0 1 0 1], [1 0 -1 -1], [1 1 0 -1]}. These vectors can be combined in various linear combinations to form any vector in W.

First, let's define what a vector space is. A vector space is a collection of vectors that satisfies certain axioms or rules. These axioms include closure under addition and scalar multiplication, associativity, commutativity, distributivity, and the existence of an additive identity and inverse. In simpler terms, a vector space is a set of vectors that can be added together and scaled by constants, and the resulting vectors still belong to the set.

Now let's take a look at the set W given in the problem. Each vector in W is represented by four real numbers, denoted by

=> [a - 4b 5 4a + b -a - b].

To determine if W is a vector space, we need to check if it satisfies the aforementioned axioms.

We can start by checking closure under addition. That is, if we add two vectors from W, do we get another vector in W? Let's take two arbitrary vectors,

=> [a₁ - 4b₁ 5 4a₁ + b₁ -a₁ - b₁] and

=> [a₂ - 4b₂ 5 4a₂ + b₂ -a₂ - b₂].

If we add them together component-wise, we get

=> [a₁ + a₂ - 4(b₁ + b₂) 10 4(a₁ + a₂) + (b₁ + b₂) -(a₁ + a₂) - (b₁ + b₂)].

This is also a vector in W, since it has the same form as the vectors in W. Therefore, W is closed under addition.

Next, we need to check closure under scalar multiplication. That is, if we multiply a vector from W by a scalar, do we get another vector in W? Let's take an arbitrary vector

=> [a - 4b 5 4a + b -a - b] and multiply it by a scalar k.

We get

=> [ka - 4kb 5 4ka + kb -ka - kb].

This is also a vector in W, since it has the same form as the vectors in W. Therefore, W is closed under scalar multiplication.

We can also check the other axioms and see that W satisfies all of them. Therefore, W is indeed a vector space.

Now, to find a set of vectors that spans W, we need to find a set of vectors that can be combined in linear combinations to form any vector in W. One way to do this is to find a basis for W, which is a set of linearly independent vectors that spans W. However, it can be shown that any set of four non-coplanar vectors in R⁴ (four-dimensional Euclidean space) forms a basis for R⁴, and thus spans any subspace of R⁴, including W.

Therefore, we can choose any four non-coplanar vectors in W as a set that spans W.

To know more about vector here.

https://brainly.com/question/29740341

#SPJ4

The volume of the given triangular prism is 384 cm³.

Volume is the measure of the capacity that an object holds.

Formula to find the volume of the object is Volume = Area of a base × Height.

Here, the area of the base is

Area of a rectangle = 1/2 ×Base×Height

= 1/2 ×12×4

= 24 cm²

Now the volume is 24×16

= 384 cm³

Therefore, the volume of the given triangular prism is 384 cm³.

To learn more about the volume visit:

https://brainly.com/question/13338592.

#SPJ1

The answer is 1) V = \(2\pi\int\limits(2)+ {x} \, dx\); 2) V = \(2\pi \int\limits(1 - 2x) - 2x dx\); 3) V =\(2\pi \int\limits {\sqrt{2} } \, dx\) ; 4) V = \(2\pi\int\limits {\sqrt{(-2/2)(2-2)} \ dx\) .

1) The volume of the shell is then given by the product of the area of its curved surface and its height. The height is equal to 2 - (-2) = 4, and the radius is equal to the minimum of the distances from x = 2 to the two curves, which is x = 2 - () = 2 + . The volume of the solid is then given by the definite integral:

V = \(2\pi\int\limits(2)+ {x} \, dx\) = \(2\pi [(/3) + 2x]\) evaluated from 0 to 1 = (4/3)π.

2) The height of the region is equal to  - (2x) =  -2x, and the radius is equal to the minimum of the distances from x = 1 to the two curves, which is x = 1 - (2x) = 1 - 2x. The volume of the solid is then given by:

V = \(2\pi \int\limits(1 - 2x) - 2x dx\)=\(2\pi [/5 - 2/3 + /2]\) evaluated from 0 to 1 = (8π/15).

3) The height of the region is equal to (2-x) -  = 2-x. The radius is equal to the minimum of the distances from x = 0 to the two curves, which is x = The volume of the solid is then given by:

V =\(2\pi \int\limits {\sqrt{2} } \, dx\) = \(2\pi [(x^4/4)]\) evaluated from 0 to √2 = (π/2).

4) The height of the region is equal to () - (2-) = 2 - 2. The radius is equal to the minimum of the distances from x = 0 to the two curves, which is x = √((2-)/2). The volume of the solid is then given by:

V = \(2\pi\int\limits {\sqrt{(-2/2)(2-2)} \ dx\) = \(4\pi [(2/3)\± (2\sqrt{2} /3)]\)

The complete Question is:

Use the shell method to find the volumes of the solids generated by revolving the regions bounded by the curves and lines in about the

1.  y = x, y = -x/2, and x = 2

2. y = 2x, y = x/2, and x = 1

3. y = x/2, y = 2-x, and x = 0

4. y = 2-x/2, y = x/2, and x = 0

To know more about Shell Methods:

brainly.com/question/17074517

#SPJ4

The standard deviation of the data sample is 2.55.

The standard deviation of the data sample is calculated by applying the following formula;

S.D = √ (x -  μ)²/(n - 1)

where;

The given parameters;

mean,  μ = 64

x, = 12

number of samples = 9

The standard deviation of the data sample is calculated as;

S.D = √ (12 -  64)²/(9 - 1)

S.D = 2.55

Thus, the standard deviation of the data sample is calculated by applying the formula for standard deviation.

Learn more about standard deviation here: https://brainly.com/question/24298037

#SPJ1

Based on the information given in the exercise, you can set up the following System of equations:

You can use the Substitution method to find the value of the variable "p" and the variable "q":

- Solve for "q" from the first equation:

- Substitute the new equation into the second equation:

- Solve for "p":

- Substitute the value of "p" into the equation

And evaluate. Then:

Now knowing the values of "p" and "q", you can substitute them into this expression:

And then evaluate. So, you get:

Therefore:

The answer is: Option D.

The fraction of silver or brown canoes is 7/10.

A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.

Example: 1/2, 1/3 is a fraction.

We have,

Total canoes team = 10

5 teams have silver canoes team.

2 teams have brown canoes team.

Now,

The fraction of silver and brown canoes.

= (5 + 2) / 10

= 7/10

Thus,

7/10

Learn more about fractions here:

https://brainly.com/question/24370499

#SPJ9

The volume of cone is 175 m³

Firstly,

Volume of Pyramid.

The volume (V) of a pyramid is  

V = ⅓Ah

Data:

V = 175m³

Calculation:

175 = ⅓× A× h

Ah = 175*3

Ah = 525m³

Secondly,

The volume (V) of a cone is

V = ⅓Ah

Data:

Ah = 525 m³

Calculation:

V = ⅓ A× h

V = 175 m³

Know more about volumes,

https://brainly.com/question/17101095

#SPJ1

Answer:

68% of the data points lie between 10 and 18.

Step-by-step explanation:

one standard deviation to left of mean = 14 - 4 =10

one standard deviation to right of mean = 14 + 4 = 18

68% of data is in this region.

so the answer is 68% of the data points lie between 10 and 18.

Answer:

z ≈ 9.22

Step-by-step explanation:

Given the equations

2x-4y+4z-6w=4 ................ 1

6w-4x+4y-4z=-12 ...............2

6w+4x-2y+6z=64 ............... 3

4z+2w+6y-4x=56 ................ 4

We will first need to reduce the equation by cancelling out some variables.

Add equations 1 and 2 will give;

(2x-4x)+(-4y+4y)+(4z-4z)+ (-6w+6w) = 4+12

-2x +0 = 16

-2x = 16

x = -8

Also, equation 2 minus 3

6w-6w+(-4x-4x)+4y+2y+(-4z-6z) = 12-64

-8x+6y-10z = -52

-8(-8)+6y-10z = -52

64+6y-10z = -52

6y-10z  = -52-64

6y-10z = -116

3y-5z = -58 ... 5

Equation 3 * 1 and eqn 4 * 3

6w+4x-2y+6z=64 ............... 3

4z+2w+6y-4x=56 ................ 4

6w+4x-2y+6z=64

12z+6w+18y-12x= 168

Subtracting both equations;

16x-20y-6z = -104

8x-10y-3z = -52

8(-8)-10y-3z = -52

-64-10y-3z = -52

-10y-3z = -52+64

-10y-3z = 12 ....... 6

equating 5 and 6 and solving simultaneously;

3y-5z = -58 ... 5 * 10

-10y-3z = 12 ....... 6 * 3

30y-50z = -580

-30y-9z = 36

Add both equations

-50z-9z = -580+36

-59z = -544

z = -544/-59

z = 9.22

Hence z ≈ 9.22

Answer: 45 words per minute.

Step-by-step explanation: I'm not exactly sure what you're asking, but Connie types 45 words per minute (675/15 = 45).

The triangles are considered to be congruent if one right triangle's hypotenuse and another right triangle's hypotenuse are equal.

Given, assuming that the hypotenuse of one right triangle is equivalent to the hypotenuse of another right triangle, then the triangles are harmonious.

The given statement must be verified as true or false by us.

According to the RHS congruence theorem, two right-angled triangles are congruent if the hypotenuse and side of one triangle are equal to the hypotenuse and side of another.

The hypotenuse and the side of the triangle that corresponds to it must be equal according to the RHS rule.

The hypotenuses of the two triangles are equal, per the question.

To learn more about right triangle's hypotenuse here

https://brainly.com/question/2869318

#SPJ4