Positive negative or no correlation?

Answer:

Proof below

Step-by-step explanation:

Trigonometric Identities

We'll prove that:

[tex]\displaystyle \frac{\sin A+\cos A}{\sec A+\csc A}=\sin A*\cos A[/tex]

Recall:

[tex]\displaystyle \sec A =\frac{1}{\cos A}[/tex]

[tex]\displaystyle \csc A =\frac{1}{\sin A}[/tex]

Applying those definitions:

[tex]\displaystyle \frac{\sin A+\cos A}{\sec A+\csc A}=\frac{\sin A+\cos A}{\frac{1}{\cos A}+\frac{1}{\sin A}}[/tex]

Adding the fractions:

[tex]\displaystyle \frac{\sin A+\cos A}{\sec A+\csc A}=\frac{\sin A+\cos A}{\frac{\sin A+\cos A}{\cos A*\sin A}}[/tex]

Dividing the fractions:

[tex]\displaystyle \frac{\sin A+\cos A}{\sec A+\csc A}=(\sin A+\cos A)*\frac{\cos A*\sin A}{\sin A+\cos A}[/tex]

Simplifying:

[tex]\displaystyle \frac{\sin A+\cos A}{\sec A+\csc A}=\cos A*\sin A[/tex]

Hence proved

Answer:

The volume of the wood used is [tex]1,116\ cm^3[/tex]

Step-by-step explanation:

The Volume of a Rectangular Cuboid

In a rectangular cuboid, all angles are right, and the opposite faces are equal.

The volume of a cuboid of dimensions a,b,c is:

V=a.b.c

The rectangular box is made of wood with externals dimensions of 25 cm by 20 cm by 15 cm.

The external volume of the box is:

[tex]V_e=(25)*(20)*(15)=7,500\ cm^3[/tex]

The walls of the box are 0.5 thick each, this means that the internal dimensions are 1 cm less than the external dimensions, including the lid.

Thus the internal volume is:

[tex]V_i=(24)*(19)*(14)=6,384\ cm^3[/tex]

The volume of the wood used is the difference between the external and the internal volumes:

[tex]V_w=7,500\ cm^3-6,384\ cm^3=1,116\ cm^3[/tex]

The volume of the wood used is [tex]\mathbf{1,116\ cm^3}[/tex]

Answer: Yes

This graph passes the vertical line test. This is a test where we try to draw a single vertical line through more than one point on the curve. In this case, such a thing is not possible. Any input x leads to exactly one output y. This graph is a function.

Answer:

change L.H.S in terms of sin and cos

Step-by-step explanation:

so we know cot x= cos x/sin x. so similarly we have cot y = cos y / sin y. since we have our cot in terms of cosine and sine, get a L.C.M and solve it further.

Answer:

h(-5) = 34

Step-by-step explanation:

h(x) = -5x + 9

h(-5) = -5(-5) + 9 = 25 + 9 = 34

Answer:

The true statement is 2(MB) = AB

Step-by-step explanation:

The given figure shows how to bisect a segment

∵ CD is the perpendicular bisector of AB

→ That means CD is perpendicular to AB and intersect it at its mid-point

∴ CD ⊥ AB

∵ CD intersects AB at point M

∴ Point M is the mid-point of AB

∵ M is the mid-point of AB

∴ AM = MB

→ That means each part is half AB

∴ AM = MB = [tex]\frac{1}{2}[/tex] AB

∵ MB = [tex]\frac{1}{2}[/tex] AB

→ Multiply both sides by 2

∴ 2(MB) = AB

∴ The true statement is 2(MB) = AB

Answer:

The answer is below

Step-by-step explanation:

So first to find a prime number, you need to know some multiplication skills.

So prime number is a number that is only divisible by itself or 1.

______

For example

3 is a prime number because it can't be divisible by any number

but

9 is not a prime number, because it can be divisible by 3

3 x 3 = 9

______________________

So you get it now

Now if you get a some number between 1 - 10

you have to use your multiplication skills to see if there are any prime numbers.

_____________________________

so

1  - not a prime number, can't be divisible by any number.

2 - not a prime number, can't be divisible by any number.

3 - not a prime number, can't be divisible by any number

4 - is a prime number, can be divisible a number (2 x 2 = 4)

5 - not a prime number, can't be divisible by any number

6 - is a prime number, can be divisible a number (3 x 2 = 6)

7 - not a prime number, can't be divisible by any number

8 - is a prime number, can be divisible a number (4 x 2 = 8)

9 - is a prime number, can be divisible a number (3 x 3 = 9)

10 - is a prime number, can be divisible a number (5 x 2 = 10)

__________________________________________________________

Answer:

$4.75

Step-by-step explanation:

(had) 8.25 + (deposited) 2.25 = (total) 10.50

10.50 - (withdrew) 5.75 = (total left) 4.75

Answer:

$4.75

Step-by-step explanation:

(Deposit: Add, put in/Withdraw: subtract, take out)

Add $8.25 + $2.25 and you get $10.50. Now subtract that number with $5.75, so $10.50 - $5.75 is a total of $4.75. Mike has $4.75 left in his account.

Answer:

Violation

Step-by-step explanation:

Answer: sara is 60

Step-by-step explanation: 64 divided by 4 equals 16. 16 plus 44 equals 60

Answer:

ASA

Step-by-step explanation:

2 congruent angles and 1 congruent side are given

hopefully this helps :)

Answer:

ASA

Step-by-step explanation:

hope this helps you :)

Answer:

A function is a relation that is either

So, That pic is cramped, don't even know what functions are being referenced but

from the a, b, c, d relation

From the equations

From the graph

From the points

Answer:

Naira 583200

Step-by-step explanation:

500000 × 1.08² = 583200

Answer:

Step-by-step explanation:

Use pemdas:

(15+26)=41

(4+15)=19

Rewrite the question: 4+41+19+26= 90

Answer:

50 hours

Step-by-step explanation:

Given that :

Painter can paint 2 small rooms and a balcony on 50 hours

Small room takes twice as long to paint as a balcony

Let :

Time taken to paint balcony = t

Time taken to paint small room = 2t

t + 2(2t) = 50

t + 4t = 50

5t = 50

t = 10

how long will it take him to paint 1 small room plus 3 balconies?

1 small room = 2t

3 balconies = 3t

2t + 3t = 5t

5(10) = 50 hours

Step 1: We need to find the slope (or m) FIRST using slope formula*.

[tex]m = \frac{5 - (-1)}{1 - (-1)}\\\\m = \frac{6}{2} = 3[/tex]

m = 3

Step 2: Now we find the y-intercept (or b) using the slope-intercept formula**, ONE of the 2 points given, and the slope we just found.

[tex]5 = 3(1) + b\\\\5 = 3 + b\\\\2 = b[/tex]

b = 2

Step 3: Now we put it all together we get our equation in slope-intercept form**.

[tex]y = 3x + 2[/tex]

**Slope-intercept form: [tex]y = mx + b[/tex]

*Slope formula: [tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Answer:

1 and 8 are parallel

5 and 14 are not parallel

2 and 3 are paralell

Step-by-step explanation:

Answer:

Step-by-step explanation:

If we have a linear function and we multiply the input of the function, we aren't really changing the values of the function, we're changing the rate at which those values are reached.

E.g. if you look at the attached picture, we have [tex]f(x) = 2x[/tex] and [tex]f_2(x) = 4x[/tex], which is just [tex]f(2x)[/tex]. The value when the red line is x = 1 is half that of the value of the blue line when x = 1.

The values of the f(2x) line are reaching the values of f(x) twice as fast, meaning it has a slope of twice as much. However, it still grows through the same intercept.

If you're interested in the calculus behind this, look up the chain rule of derivatives.

However, when you start changing the output of the function, you're changing the entire equation. It's not the same line anymore.

Answer: m <PQR =600. 3x = 5X-20. -2x =- 20.

Step-by-step explanation:

Answer:

6z - 6

Step-by-step explanation:

When you expand you are removing brackets. This means you multiply the outer number by the ones inside thus:

2(3z-3)

2 times 3z is 6z .

2 times 3 is 6.

So the answer is 6z - 6.

HOPE THIS HELPED

Answer:

x=8

Step-by-step explanation:

5x+14 = 6x+6

8=x or x=8

Answer:

The answer is B) -3 and 1/3

Explanation:

The answer must be between -3 and -4 because that is the location on the plot.

You count two ticks on the plot. The first one is 1/3. The second one is 2/3.

There is no third one because 3/3 would bring you to the next number.

The dot is on the first tick, meaning that it is 1/3. If the dot is between -3 and -4, you can conclude that the answer is -3 and 1/3.

I hope this was helpful to you! If it was, please consider rating, pressing thanks, and marking my answer Brainliest. It would help a lot. Have a great day!

Answer:

B -3 1/3 because that is the place on the plot

Answer:

16

um belo dia abençoado

Answer:

ithink 8470 the answer

Step-by-step explanation:

sana nakatulong

Multiply his earnings by 8%:

16490 x 0.08 = 1319.20

He spent £1,319.20

Answer: Choice C

The interquartile range (IQR) for brand A, $10, is less than the IQR for brand B, $20.

===========================================================

Explanation:

Let's go through the answer choices one by one to see which is true and which is false. Also, we'll see which is helpful when it comes to the spread.

----------------------

Choice A

The IQR is found by subtracting the values of Q1 and Q3, which are the left and right edges of the box in that order.

For boxplot A, we have an IQR = Q3-Q1 = 80-70 = 10.

So we can immediately rule out choice A because the IQR for boxplot A is not 20, but instead it's 10.

----------------------

Choice B

The statement made in choice B is true, since the center vertical lines represent the median, but it's not useful to determine the spread. The median only tells us the center of the distribution. It doesn't tell us how spread out the distribution is.

Imagine you didn't have access to the graph. Now if you're told that the median for brand A is larger than brand B's median, then you'd probably think boxplot A is more spread out; however, the boxplot diagram shows the opposite is the case.

So again the median isn't used here. We can rule out choice B.

----------------------

Choice C

This statement is true. We subtract the box edge values to get the IQR values for each boxplot

For brand A we have IQR = Q3-Q1 = 80-70 = 10

For brand B we have IQR = Q3-Q1 = 70-50 = 20

This is the answer we're after.

The IQR is one tool we can use to measure the spread. The range is another option. We could also use the variance or the standard deviation (two slightly similar ideas) to measure the spread.

As you can see from the diagram, the larger the IQR, the more spread out the data will be.

----------------------

Choice D

This is false because earlier we've shown 10 is the IQR for brand A.