Which of the following tables represents a function?

Answer:

True

Step-by-step explanation:

Triangle PQR is given to be a right triangle, so the Pythagorean theorem can be used to determine that RQ² + PR² = PQ².

Pythagorean theorem is a mathematical expression in Euclidean geometry that can be used to solve for any of the three (3) side lengths of a right triangle.

Mathematically, Pythagorean's theorem is given by this formula:

x² + y² = z²

Triangle PQR is given to be a right triangle, so the Pythagorean theorem can be used to determine that RQ² + PR² = PQ². It is given that  x² + y² = z² in triangle ABC, so z² = PQ² or AB = PQ.

The above information shows that the triangles are congruent because their three (3) sides are congruent. Therefore, to show that triangle PQR is a right triangle, we can use corresponding parts of the congruent triangles to show that PQ = AB, PR = AC and QR = BC.

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Answer:

You have walked 7.0 steps

Step-by-step explanation:

You just add 4 steps by 3 steps, so 4+3=7

Answer:

6 races

Step-by-step explanation:

If he won 40% of the races he competed in, and he raced 15 times, this means that he won roughly 4/10 races.

4/10= ?/15

cross multiply 4 and 15 = 60

60/10 = 6

He won 6 races

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The first option, “yes, the conditions for inference are met” is correct.

It is described as a collection of data with the same entity that is linked to a problem. The sample is a subset of the population, yet it is still a part of it.

Lets you're conducting an experiment on the honesty of a random sample of 50 persons. A total of 42 adults were assessed to be trustworthy.

It has to be determined whether the conditions of inference are satisfied.

A) The randomness of the sample.

The sample is given to be randomly selected. So, this condition is satisfied.

B) The number of success and failures must be at least 10.

The success rate is 0.80, and the sample size is 50. As a result, the following conditions must be met:

[tex]\rm n_p\geq 10 \ and \ n\left ( 1-p \right )\geq 10[/tex]

[tex]\rm 50\left ( 0.80 \right )=40 > 10[/tex]

[tex]\rm 50\left ( 1-0.80 \right )=10=10[/tex]

As a result, the sample size is sufficient, and the big numbers requirement is met.

C) 10% condition:

The sample size is modest, at 50 people, and hence represents less than 10% of the population.

As a result, the inference requirements are met.

Thus, the first option “yes, the conditions for inference are met” is correct.

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The big arc is 2.09 centimeters longer than the small arc.

For a circle of radius R, if we define an arc with an angle θ, the length of that arc will be:

L = (θ/360°)*2πR

Where π = 3.14

in this case, for both arcs, we have θ = 120°.

For the smaller arc, the radius is R = 5cm, so we get:

L = (120°/360°)*2*3.14*5cm = 10.47 cm

For the larger arc, the radius is R = 5cm, so we get:

L' =  (120°/360°)*2*3.14*6cm = 12.56 cm

Then we can see that:

L' - L = 12.56 cm -  10.47 cm = 2.09 cm

So the largest arc is 2.09 centimeters longer than the smaller arc.

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Answer:

The answer to this question is -11

A group of young men decided to raise Ksh.480000 to start a business. Before actual payment was made four members pulled out and each of the remaining had to pay an additional Ksh.20000. Write an expression in terms of P for.

(a) (i) Original contribution of each member.

(ii) Contribution after withdrawal of four members.

(b) Form an equation in P and hence determine the number of initial members.

(c) Three men Kamau, James and Hassan shared Shs.480000 such that Kamau: James is 3: 2 and James: Hassan is 4: 2. Find how much each got.

The y-intercept of linear function (f- g)(x) is (0,9)

The table of values is given as:

x   -6 -4 -1 3 4

f(x) 15 11 5 -3 -5

g(x) -36 -26 -11 9 14

The equations of the functions is calculated using:

[tex]y = \frac{y_2 -y_1}{x_2-x_1} * (x -x_1) + y_1[/tex]

So, we have:

[tex]f(x) = \frac{11 -15}{-4 + 6} * (x + 6) + 15[/tex]

Evaluate

f(x) = -2x + 3

Also, we have:

[tex]g(x) = \frac{-26 + 36}{-4 + 6} * (x + 6) - 36[/tex]

Evaluate

g(x) = 5x - 6

Next, we calculate (f - g)(x) using:

(f - g)(x) = f(x) - g(x)

This gives

(f - g)(x) = -2x + 3 - 5x + 6

Substitute 0 for x

(f - g)(0) = -2(0) + 3 - 5(0) + 6

Evaluate

(f - g)(0) = 9

Hence, the y-intercept of (f- g)(x) is (0,9)

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Answer:

B.) No, because it fails the vertical line test.

Step-by-step explanation:

You can determine whether or not graphs represent functions by performing the vertical line test. This test states that to be a function, there must only be one output for every input. In other words, there must be only one "y" value per "x" value. As you can see, for some "x" values there is more than one "y" value.

The easiest way to perform this test is by placing your finger at the top of the graph and moving it downwards. If you cross the line twice, then it must not be a function.

The Dilation is 0.76

Dilation is a transformation, which is used to resize the object. Dilation is used to make the objects larger or smaller. This transformation produces an image that is the same as the original shape.

Dilation or scale factor=  Dimension of new shape/ dimension of old shape

= Perimeter of new triangle(green)/ Perimeter of old Triangle (blue)

= 8.3/10.9

= 0.76

Hence, the scale factor is 0.76.

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Answer:

59°

Step-by-step explanation:

Well, as you can see from the figure, the line WU is a diameter which means that it is a straight line. So, Angle WSU is 180° (Because straight angles are 180°)

Also, angle WSU is formed by addition of angle VSW and VSU. The value of VSU is given in the picture. So,

∠VSW + ∠VSU = 180°

∠VSW = 180° - ∠VSU

∠VSW = 180° - 121 (Because ∠VSU is given 121°)

∠VSW = 59°

Therefore, angle VSW is 59 degrees.

So, here you go. I hope you understand my explanation. Have a good day.

- Eddie

~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~  ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~

[tex]\textsc{heya!}[/tex]

we need to find the area of a circle with a radius of 21.

we also need a formula for this, which is

⇒ [tex]\bold{A=\pi r^2}[/tex]

the known value is r, radius, 21.

after substituting the value into the formula, we obtain:

⇒ [tex]\bold{A=\pi (21)^2}[/tex]

now we multiply the radius times itself:

⇒[tex]\bold{A=\pi *441}[/tex]

which can be written as

⇒[tex]\bold{A=441\pi}[/tex]

and finally, multiply the values

⇒ [tex]\bold{A=1385.4\;units\;^2}[/tex]

[tex]\textsc{hopefully\:helpful}[/tex]

by: [tex]\textsc{$^da_nc^in_g$}[/tex]

have a great rest of your day ahead ~ = )

Answer:

As ΔABC is an isosceles triangle:

⇒ BA = BC  
(the dashes on the line segments indicate they are of equal measure)

⇒ ∠BAC = ∠BCA = 55°

⇒ ∠BCA = ∠BAD = 55°

Angles on a straight line sum to 180°

⇒ ∠ADE + ∠EDC = 180°

⇒ 98° + ∠EDC = 180°

⇒ ∠EDC = 82°

As BE intersects AC, the vertically opposite angles are equal:

⇒ ∠BDC = ∠ADE = 98°

⇒ ∠ADB = ∠EDC = 82°

Interior angles in a triangle sum to 180°

⇒ ∠BAD + ∠ADB + ∠ABD = 180°

⇒ 55° + 82° + ∠ABD= 180°

⇒ ∠ABD = 180° - 55° - 82°

⇒ ∠ABD = 43°

Answer:

∠ABD = 43°

Step-by-step explanation:

Let's solve !

⇒ ∠BAC = ∠BCA = 55° (Angles opposing equal sides)

⇒ ∠BDA = 180° - 98° (Linear pair)

⇒ ∠BDA = 82°

⇒ ∠BAC + ∠BDA + ∠ABD = 180° (Angle Sum Property)

⇒ ∠ABD + 82° + 55° = 180°

⇒ ∠ABD + 137° = 180°

⇒ ∠ABD = 43°

Answer:

Step-by-step explanation:

That comes out, hopefully it's not failing

Answer:

176,398

It wont always be easy, but always try to do what ' s right!

   In a world of worriers, be the warrior!

        When nothing goes right, go left.

B. x > 9

D. The graph has open circle.

F. The arrow to the right.

⇒ 2 < x - 7

⇒ 2 + 7 < x

⇒ 9 < x

⇒ x > 9

Here as the inequality sign is ">" it will be a open circle.

Note: "≤" and "≥" inequality signs have closed circle.

As x > 9, the arrow points will be towards right.

Answer:

rhombus

Step-by-step explanation:

If ABCD is a parallelogram, then AB and CD are opposite sides and should be equal

3x - 4 = x + 18

subtract x.

2x - 4 = 18

add 4.

2x = 22

divide by 2.

x = 11

Find the lengths of the sides.

AB= 3(11)-4 = 29

BC= 2(11)+7 = 29

CD = 11+18 = 29

If BC is 29, then DA must also be 29. So all four sides are the same, it is a rhombus.

Step-by-step explanation:

Are of a circle is πr^2

to find the radius r=d/2

=12/2=6r

3.14x6x6

=169.56 cm^2

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Answer:

£280

Step-by-step explanation:

238/0.85

Answer:

The first one is Perimeter The second one is Area The third on is Volume.

Step-by-step explanation:

A box big enough to hold a computer is the area of something, A fence to go around the garden would be the perimeter, enough carpet to cover the floor is the volume

A fence to around a flower garden ---> perimeter

A box big enough to hold a computer ---> volume

Enough carpet to cover the floor ---> area

Distance around the outside of a shape.

The number of cubic units that make up a solid figure; the amount of space the figure occupies. In Cubic Units, or units³.

The space or surface enclosed in 2-dimensional shape.

Using these definitions, it can be said that the fence acts as a perimeter surrounding a flower garden. Each side has a length.

A box big enough enough to hold a computer is the amount of space in the box to make it big enough to hold the computer (The volume of the box).

The amount of carpet to cover the floor is acting as a 2-dimensional shape scenario as the carpet is likely a standard typical shape such as a rectangle or square. Overall, enough to occupy a standard-sized room.

Answer:

The answer is 1/2

Answer:

1/2

Step-by-step explanation:

[tex]\frac{1}{12}+\frac{5}{12} = \frac{6}{12}\\ \\ \frac{6}{12} = \frac{1}{2}[/tex]They are both equivalent fractions. If you divide the numerator and denominator both by 6, you get 1/2.

A function assigns the value of each element of one set to the other specific element of another set. The output for the given inputs 0, 2, and 8 in the table is -3, -1, and 5, respectively.

A function assigns the value of each element of one set to the other specific element of another set.

For the given function table, the function table can be filled as,

Input (n)       Output (n − 3)

0                       (0 - 3) = -3

2                       (2 - 3) = -1

8                       (8 - 3) = 5

Hence, the output for the given inputs 0, 2, and 8 in the table is -3, -1, and 5, respectively.

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Answer: The first and the fourth option

Step-by-step explanation:

   Every input of a function can have only one output.

   Option one is a function.

   See the attached image as to why option two is not a function.

   Option three has two outputs for the input value of "20" meaning it is not a function.

   Option four is a function.

Answer:

30.7 ft ladder length

Step-by-step explanation:

The ladder makes the hypotenuse of a right triangle

 31 feet   is the opposite leg of 78 degree angle

   sin 78 = opposite / hypotenuse

   sin 78 = 30/ hypot

      30 / (sin 78 ) = hypotenuse = 30.7 ft

Answer:31.7

Step-by-step explanation:

1. 0.0563

2. 0.05

3. 0.008

4. 0.6

5. eight tenths

6. six tenths three hundredths

7. eight five thousandth

8. six hundredths

Answer:

tanD =4/7

Step-by-step explanation:

tanD = P/B

Where P=4 and B=7

So;

tanD=4/7