Type the correct answer in the box. If necessary, use / for the fraction bar and simplify the fraction. cos(75°)cos(15°) =

Answer:

4) (-3 , 2)

Step-by-step explanation:

Answer:

(-3, 2) because if you extend the line to the right more, it'll go directly through that point, but none of the others. also, if you plot the points, you can look at the line to see which point the line would go through

Step-by-step explanation:

200 is the mean absolute deviation. Therefore, choice three (200) is the right one.

The absolute difference between the predicted and actual values must be determined, added together, and divided by the total number of periods.

Forecasted values are as follows: 1,500 and 1,400

Values in actuality: 1,200 and 1,500

Absolute differences:

|1,500 - 1,200| = 300

|1,400 - 1,500| = 100

Now, we calculate the MAD:

MAD = (300 + 100) / 2 = 400 / 2 = 200

Therefore, 200 is the mean absolute deviation. Therefore, choice three (200) is the right one.

Learn more about mean absolute here :brainly.com/question/29545538

#SPJ4

The statement "If you kept the quadratic terms in your model, the next step is to test the interaction terms using a t-test" is false because testing the interaction terms using a t-test is not the next step after keeping the quadratic terms in the model.

After including the quadratic terms, the next step would be to assess the significance and effect of these terms using appropriate statistical tests such as the F-test or likelihood ratio test. Interaction terms, on the other hand, involve the product of two or more predictors and are typically introduced to capture the combined effect of these predictors.

Testing the significance of interaction terms would require additional steps, such as creating the interaction terms and conducting specific tests to evaluate their contribution to the model.

Learn more about quadratic terms https://brainly.com/question/28323845

#SPJ11

Answer:

Check to see if each input value is paired with only one output value. If so, the table represents a function.

Yes. It is a function.

Step-by-step explanation:

Answer:

y=2.2

Step-by-step explanation: Hope this helps you out!!

Answer:your mom

Step-by-step explanation:

\(\huge \bf༆ Answer ༄\)

Any value multiplied by Zero gives Zero, therefore ~

Answer:

1,365 miles

Step-by-step explanation:

455 mph times 3 hours equals to 1,365.

The distance from -4 to 1 is 5 units.

The correct number line and expression to find the distance from -4 to 1 are:

Number line: -4 -3 -2 -1 0 1

Expression: |-4 - 1|

To find the distance, we subtract the smaller number (-4) from the larger number (1) and take the absolute value:

|-4 - 1| = |-5| = 5

Therefore, the distance from -4 to 1 is 5 units.

​for such more question on distance

https://brainly.com/question/12356021

#SPJ8

The composition functions are fog(x) = x² + 4x + 5 and gof(x) = x² + 3.

The given functions are f(x) = x² + 1 and g(x) = x + 2.

To find fog(x) (also written as f(g(x))), substitute g(x) into f(x):
fog(x) = f(g(x)) = f(x + 2)

Replace x in f(x) with (x + 2):
fog(x) = ((x + 2)²) + 1

Simplify the expression:
fog(x) = (x² + 4x + 4) + 1

= x² + 4x + 5

So, fog(x) = x² + 4x + 5.

Now, let's find composition function gof(x) (also written as g(f(x))):

Substitute f(x) into g(x):
gof(x) = g(f(x)) = g(x² + 1)

Replace x in g(x) with (x² + 1):
gof(x) = (x² + 1) + 2

Simplify the expression:
gof(x) = x² + 1 + 2 = x² + 3

So, gof(x) = x² + 3.

In conclusion, fog(x) = x² + 4x + 5 and gof(x) = x² + 3.

Learn more about functions:

https://brainly.com/question/11624077

#SPJ11

Answer:

(a)  See attachment.

(b)  r = 0.8765 (4 d.p.)

(c)  Strong positive correlation.

(d)  See explanation.

Step-by-step explanation:

Correlation measures how closely two variables are linked.

When creating a scatter plot with bivariate data:

Plot a scatter diagram using the data from the given table and the following variables.

(See attachment).

The correlation coefficient (r) measures the strength of the linear correlation between two variables.

Using a calculator and the given data, calculate r:

As r is close to +1, this suggests that the data has a strong positive correlation.  

This suggests that the metabolic rate increases as the body mass increases.

We cannot use a regression line to predict a value of the explanatory variable. Therefore, as the body mass is the explanatory variable, we cannot say that a person's body mass will increase if their metabolic rate increases.  However, we can say that according to the scatter plot and correlation coefficient, it is highly likely that a person's metabolic rate increases as their body mass increases.  

Remember to apply caution when using values of of x outside the range of the original data to predict corresponding values of y, as these predications can be unreliable since there is no evidence that the relationship is true for all values of x.

Piecewise linear functions, f(x) as common core algebra, Evaluate each of the following :

(1) f(-3) = 12

(2) f(4) = 2

(3) f(0)= 8

(4) f(3)= 8

A piecewise linear function is a function defined on the interval [xₘᵢₙ ,xₘₐₓ]. A piecewise linear function is a function that consists of straight line segments. This is a piecewise function whose pieces are affine (linear) functions. Graphs of piecewise linear functions consist of line segments and rays.

We have given that,

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

= x+8 ; -2≤x< 3

= 1/3(x) + 7 ; x ≥3

we see here that , f(x) is a piecewise linear function defined on interval [-2,3).

Now, we solve the following

(1) f(-3) , here x = -3< -2 i.e we take f(x) =5 x -3

=> f(-3) = 15 - 3 = 12

(2) f(4) , x= 4 >3 so, f(x) = 1/3(x) + 7

=> f(4) = 1/3(4) + 7 = 14/7 = 2

(3) f(3) , x = 3 so, f(x) = 1/3(x) + 7

=> f(3) = 1/3(3) + 7 = 8

(4) f(0) , x = 0 or -2 < x < 3 so, f(x) = x+8

=> f(0) = 0+8 = 8

Hence, we evaluate the given functions.

To learn more about Piecewise linear function, refer:

https://brainly.com/question/2882897

#SPJ4

Complete question:

piecewise linear functions common core algebra 2 homework answers

5x - 3 x&lt;-2 1. For f (x) = x+8 -25x&lt;3 answer the following questions. -x+7 x23 (a) Evaluate each of the following by carefully applying the correct formula: (1) f ( -3 ) (ii) f (4) (iii ) f ( 3 ) (iv ) f (0 )

Answer:

8. b

9.C

10.a

11.a

12. c

13. b

brainliest pls <3

The simplified trigonometric expression is 1/sinθcosθ(sinθ+cosθ). It is found using the substitution of cotθ in the stated expression.

The trigonometric expression that is required to be simplified is :

sinθ+cosθcotθ.

Step 1:The expression cotθ is given by

cotθ = 1/tanθ

As tanθ = sinθ/cosθ,

Therefore, cotθ = cosθ/sinθ

Step 2: Substitute the value of cotθ in the given expression

Therefore,

sinθ + cosθcotθ = sinθ + cosθ cosθ/sinθ

Step 3:Simplify the above expression using the common denominator

Therefore,

sinθ + cosθcotθ

= sinθsinθ/sinθ + cosθcosθ/sinθ

= (sin^2θ+cos^2θ)/sinθ+cosθsinθ/sinθ

= 1/sinθcosθ(sinθ+cosθ)

Therefore, the simplified expression is 1/sinθcosθ(sinθ+cosθ).

Know  more about the trigonometric

https://brainly.com/question/24349828

#SPJ11

Answer:

Step-by-step explanation:

The function into  vertex form is m(d) = -4(d -2 )^2 - 24

Given in the question:

m(d)= - 4d^2 + 16d -40

and, Convert the function into vertex form.

Let's Know:

How do you change a function into vertex form?

m(d) = - 4d^2+16d-40  Convert the function into vertex form.

To convert standard form to vertex form, Convert y = ax2 + bx + c into the form y = a (x - h)2 + k by completing the square. Then y = a (x - h)2 + k is the vertex form.

Come to the solution:

m(d)= - 4d^2 + 16d -40

take out the leading coefficient;

m(d)= - 4(d^2 - 4 x d ) -40

Complete the square

m (d) = - 4(d^2 +(2 x(-2))x d + (-2)^2) + (-40 - (-4 x (-2)^2))

Express the function in vertex form :

m(d) = -4(d -2 )^2 - 24

Hence, The function into  vertex form is m(d) = -4(d -2 )^2 - 24

Learn more about Vertex form at:

https://brainly.com/question/13921516

#SPJ1

Answer:

See below.

Step-by-step explanation:

Plug in each value for  x .

\(x=3 \Rightarrow 600\cdot 3^3 = 600\cdot 27=16200\\\\x=0\Rightarrow 600\cdot 3^0=600\cdot 1 = 600\\\\x=2\Rightarrow 600 \cdot 3^2=600\cdot 9 =5400\)

The value of C such that the function is a probability density function is 5/384.To be a probability density function (pdf), a function must satisfy two conditions that are:

Non-negativity : A pdf must be non-negative at all points in its domain.

Therefore, if the domain of a function is x ∈ [0, 8], then it must have positive values at all points in this interval. The function should be zero everywhere else.Integrates to 1: The area under the curve of a pdf over its entire domain must be 1.  Therefore, we need to find the value of C such that the area under the curve over the domain [0,8] equals to 1.

Now, let's find the value of C so that the function can be a density function.

∫\(0 8 C x^{1.5} dx = 1∫0 8 C x^{1.5} dx = (2C/5) x^{2.5} ∣0 8= (2C/5)(8^{2.5} − 0) = 1= > C = 5/384\)

To summarize, the value of C such that the function is a probability density function is 5/384.

To know more about probability visit:

https://brainly.com/question/31828911

#SPJ11

Using the concept of independent events, it is found that the correct statement is:

a and b are independent events because p(a∣b) = p(a) = 0.75.

Two events, A and B, are independent if:

\(P(A \cap B) = P(A)P(B)\)

In this problem, the events are:

In this problem, out of 300 students, 225 have surfed, hence:

\(P(A) = \frac{225}{300} = 0.75\)

48 have gone snowboarding, hence:

\(P(B) = \frac{48}{300} = 0.16\)

36 have done both, hence:

\(P(A \cap B) = \frac{36}{300} = 0.12\)

The multiplication is:

P(A)P(B) = 0.75 x 0.16 = 0.12.

That is, the probability of A given B is P(A|B) = P(A) = 0.75, hence they are independent.

More can be learned about independent events at https://brainly.com/question/14478923

Answer:

the answer is B

Step-by-step explanation:

Answer

0.27

Step-by-step explanation:

3 divided by 11

= 0.27

this is it I believe

Answer:

On his 59th week he will have $160.00

Step-by-step explanation:

Well if you Connor gets 2.00 per week then he'll get 2 dollars added each time. So based on this He currently has $42. So this is what we get: 59 x 2 = 118. Plus the $42 he has. So, 118 + 42 = 160. Hope this helps!

Answer:

-35x - 65

Step-by-step explanation:

In an arithmetic sequence, the nth term of the sequence is given by \(a_{n} = a_{1} + (n-1)d\) where \(a_{1}\) is the first term (-5x -5 in this problem) and d is the difference between terms (-3x -6 in this case). We wish to find the 11th term, so plugging in 11 as n, we get \(a_{11} = -5x - 5 + (10)(-3x-6)\) which equals -35x - 65

Answer:

True

Step-by-step explanation:

2 sides that are the same and one isn't.

Answer:  True

Step-by-step explanation:

hope this helps pls mark brainliest

Shorter side = 9 cm

The perimeter of a rectangule is 44cm. The area of the rectangle is 117cm2. Find the length of the shorter side of the rectangle.

A/Q

Perimeter of rectangle = 44cm

We know:

p=2(L+B)

.°. ⇒44 =2(a+b)

⇒44 /2 =a+b

⇒22=a+b

So:

a=22-b

b=22-a

Now Let's put values in formula of Area

A/Q

Area of rectangle = 117cm²

We know:

Area =L×B

.°.117=ab

Put value of b in this equation

⇒117=a(22-a)

⇒117=22a-a²=0

⇒a-22a²+117=0

⇒(a- 9)(a- 13) = 0

.°. a=9

a=13cm

Let's put value of a as 13 to find b

⇒b=22-a

⇒b=22-13

⇒b=9cm

So the side having 9cm is shorter i.e. b

To solve the following equation we are going to use inverse operations to solve equations, that means addition and subtraction are inverse operations, multiplication and division too.

Then,

Answer:

(0,3)

Step-by-step explanation:

The y-intercept has an x-value of 0. Hence, the y-intercept is (0,y).

Substituting (0,y) into the equation:

4(0) + 9y = 27

9y = 27

y = 3

Hence,

(0,3) is the y-intercept.

Feel free to mark this as brainliest! :D

answers are in the photo

goodluck

To rank the cereals in order from least likely to be chosen to most likely to be chosen, we need to compare their probabilities. Here are the cereals ranked in order:

Bran O's (0.04): This cereal has the lowest probability of being chosen among the options provided.

Rice O's (8.9% or 0.089): This cereal has a higher probability than Bran O's but is lower than the remaining options.

Wheat O's (5/16 or 0.3125): This cereal has a higher probability than Rice O's but is lower than the remaining options.

Chocolate O's (3/10 or 0.3): This cereal has a higher probability than Wheat O's but lower than the last remaining option.

Corn O's (0.113): Among the given options, Corn O's has the highest probability and is the most likely to be chosen.

So, the cereals ranked from least likely to be chosen to most likely to be chosen are: Bran O's, Rice O's, Wheat O's, Chocolate O's, and Corn O's.

Learn more about probabilities here:

https://brainly.com/question/29381779

#SPJ11

Dr. Fahrrad breaks down 0.23 moles of ATP to get to work.

The first step is to calculate the work done by Dr. Fahrrad on his bike ride. We can use the following equation:

W = F * d

where:

W is the work done in joules

F is the force in newtons

d is the distance in meters

The force is equal to the mass of Dr. Fahrrad times his acceleration. We can convert the acceleration from kilometers per second squared to meters per second squared by multiplying by 1000/3600. This gives us a force of 102.8 newtons.

The distance of Dr. Fahrrad's bike ride is 4.6 kilometers, which is equal to 4600 meters.

Plugging these values into the equation for work, we get:

W = 102.8 N * 4600 m = 472320 J

The breakdown of a mole of ATP releases 29 kilojoules of energy. So, the number of moles of ATP that Dr. Fahrrad breaks down is:

472320 J / 29 kJ/mol = 162.6 mol

To one decimal place, this is 0.23 moles of ATP.

Here are the assumptions that we made in this calculation:

No friction

No mass of the bike

A flat ride with no change in altitude

These assumptions are not always realistic, but they are a good starting point for this calculation. In reality, Dr. Fahrrad would probably break down slightly more than 0.23 moles of ATP to get to work.

Learn more about squared here: brainly.com/question/14198272

#SPJ11

Answer:

2

Step-by-step explanation:

i know