Which graph shows a set of ordered pairs that represent a function?

On a coordinate plane, solid circles appear at the following points: (negative 2, 3), (negative 1, 2), (1, 1), (2, negative 1), (2, negative 3), (4, negative 5).

On a coordinate plane, solid circles appear at the following points: (negative 4, negative 4), (negative 2, 2), (1, 1), (2, negative 5), (4, negative 3), (4, 4).

On a coordinate plane, solid circles appear at the following points: (negative 3, 2), (negative 2, 2), (0, 1), (1, 3), (2, negative 4), (4, negative 1).

On a coordinate plane, solid circles appear at the following points: (negative 4, 2), (negative 2, 1), (negative 2, negative 1), (0, negative 2), (0, negative 4), (2, negative 5).

Answer:

Undefined.

Step-by-step explanation:

Answer:

no solution

Step-by-step explanation:

Hello,

\(5(x-2)=5x-7\\<=> 5x-10=5x-7\\<=> -10=-7\)

and this is always false so there is no solution

Answer:

A and C

Step-by-step explanation:

Answer:

A) C(x)=4x³+8x²+8x+16

Step-by-step explanation:

(4x²+8)(x+2)=

A) 4x³+8x²+8x+16

The capacity of the box would be the volume.

Multiply the area by the height:

4x^2 + 8 times x+2

Multiply each term by each term:

4x^2 * x = 4x^3

4x^2 * 2 = 8x^2

8 * x = 8x

8*2 = 16

Combine the terms to get:

4x^3 + 8x^2+ 8x +16

The answer is A. C(x) = 4x^3 + 8x^2 + 8x + 16

Answer:

1/2

Step-by-step explanation:

The probability that the advertisement is a social media ad and has an odd number is 1/13.

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.

Given that, A local business had various advertising campaigns. It had television ads numbered 1,2,3,4,5,6, newspaper and magazine ads numbered 1,2,3,4,5, and social media ads labeled 1,2.

We need to find If a single advertisement campaign is picked at random, what is the probability that the advertisement is a social media ad AND has an odd number,

Probability = favorable outcomes / possible outcomes

Number of social media ads with an odd number = 1

Total number of ads = 13

We know that,

P(that the advertisement is a social media ad AND has an odd number)

= 1/13.

Hence, the probability that the advertisement is a social media ad and has an odd number is 1/13

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Answer:

27!

Step-by-step explanation:

Heya! Considering that the question has already given you the values of x and y, all you are left to do is plug them back into the equation. The value of 6 multiplied by x- 5- gets you to 30. Since y is equal to 1, 3 multiplied by 1 gets you 3. 30-3 gets you to 27, so that is your answer. I hope this helped! (Please mark as branliest if I did happen to get this right. <3)

Answer:

Step-by-step explanation:

This is a test of 2 independent groups. Let μ1 be the mean dissolution time for disk-shaped ibuprofen tablets and μ2 be the mean dissolution time for oval-shaped ibuprofen tablets.

The random variable is μ1 - μ2 = difference in the mean dissolution time for disk-shaped ibuprofen tablets and the mean dissolution time for oval-shaped ibuprofen tablets.

We would set up the hypothesis.

a) The null hypothesis is

H0 : μ1 = μ2 H0 : μ1 - μ2 = 0

The alternative hypothesis is

H1 : μ1 ≠ μ2 H1 : μ1 - μ2 ≠ 0

This is a two tailed test.

For disk shaped,

Mean, x1 = (269.0 + 249.3 + 255.2 + 252.7 + 247.0 + 261.6)/6 = 255.8

Standard deviation = √(summation(x - mean)²/n

n1 = 6

Summation(x - mean)² = (269 - 255.8)^2 + (249.3 - 255.8)^2 + (255.2 - 255.8)^2+ (252.7 - 255.8)^2 + (247 - 255.8)^2 + (261.6 - 255.8)^2 = 337.54

Standard deviation, s1 = √(337.54/6) = 7.5

For oval shaped,

Mean, x2 = (268.8 + 260 + 273.5 + 253.9 + 278.5 + 289.4 + 261.6 + 280.2)/8 = 270.7375

n2 = 8

Summation(x - mean)² = (268.8 - 270.7375)^2 + (260 - 270.7375)^2 + (273.5 - 270.7375)^2+ (253.9 - 270.7375)^2 + (278.5 - 270.7375)^2 + (289.4 - 270.7375)^2 + (261.6 - 270.7375)^2 + (280.2 - 270.7375)^2 = 991.75875

Standard deviation, s2 = √(991.75875/8) = 11.1

b) Since sample standard deviation is known, we would determine the test statistic by using the t test. The formula is

(x1 - x2)/√(s1²/n1 + s2²/n2)

Therefore,

t = (255.8 - 270.7375)/√(7.5²/6 + 11.1²/8)

t = - 3

c) The formula for determining the degree of freedom is

df = [s1²/n1 + s2²/n2]²/(1/n1 - 1)(s1²/n1)² + (1/n2 - 1)(s2²/n2)²

df = [7.5²/6 + 11.1²/8]²/[(1/6 - 1)(7.5²/6)² + (1/8 - 1)(11.1²/8)²] = 613.86/51.46

df = 12

We would determine the probability value from the t test calculator. It becomes

p value = 0.011

d) Since alpha, 0.05 > than the p value, 0.011, then we would reject the null hypothesis. Therefore, we can conclude that at 5% significance level, the mean dissolve times differ between the two shapes

Answer:

I have completed the answers and attached them to the explanation.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The question asks for a subtraction expression:

length is always a positive number so bigger number first here.

OB = 4-(-1)              >only moves in x direction so subtract x's

AB = 4-(-2)             >only moves in y direction so subtract y's

Answer:

y = 2x + 6

Step-by-step explanation:

We are given that a line runs through the points (-4,-2) and (-2,2).

We want to write the equation of this line in slope-intercept form.

Slope-intercept form is written as y=mx+b, where m is the slope and b is the value of y at the y intercept, hence the name.

First, we need to find the slope of the line.

The slope can be found using the formula \(\frac{y_2-y_1}{x_2-x_1}\), where \((x_1, y_1)\) and \((x_2, y_2)\) are points.

Even though we have two points, let's label the values of the points to avoid confusion & mistakes.

\(x_1=-4\\y_1=-2\\x_2=-2\\y_2=2\)

Now let's find the slope (remember: the formula has subtraction):

m=\(\frac{y_2-y_1}{x_2-x_1}\)

m=\(\frac{2--2}{-2--4}\)

This can be simplified:

m=\(\frac{2+2}{-2+4}\)

Add the numbers together.

m=\(\frac{4}{2}\)

Divide.

m = 2

The slope of the line is 2.

We can substitute this into the equation for m.

Here is the equation of the line so far:

y = 2x + b

We now need to find b.

As the equation passes through both (-4, -2) and (-2, 2), we can use either one of them to help solve for b.

Taking (-4, -2) for instance:

Substitute -4 as x and -2 as y in the equation we have.

-2 = 2(-4) + b

Multiply.

-2 = -8 + b

Add 8 to both sides.

6 = b

Substitute 6 as b into the equation.

y = 2x + 6

Topic: finding the equation of the line (slope-intercept form)

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The limits of the function for this problem are given as follows:

In this problem, we are given the graph of the function, hence the limit is given by the value of the function as the function approaches x = a, not the actual numeric value of the function at x = a.

At x = -2, we have that:

As the lateral limits are equal, lim x -> -2 f(x) = 3.

At x = 1, we have that:

As the lateral limits are different, the lim x -> 1 f(x) does not exist.

At x = 4, we have that:

As the lateral limits are equal, lim x -> 4 f(x) = -3.

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Answer:

0.167

Step-by-step explanation:

if you divide 30/180 it will get you a decimal of 0.166666667 but if you were to divide 180 by 30 you will get 6

technecaly your answer would be 0.166666667 but you only take the first number in the decimal which is 0.1 then take six 0.16 then add the 7 0.167

that should end up being your answer if i did the math right

Answer:

Step-by-step explanation:

5/12 * 6/15 =30/180

1/6=1/6

which is true, Right-hand side is equal to left-hand side

Answer:

95=p+20 is correct

Step-by-step explanation:

The area of the shaded region, with a frame of 3 units wide, is 264 square units. The inner rectangle is 6x4 units, and the outer rectangle is 18x16 units.

To solve the given problem, we have to find the area of the shaded region if the frame is 3 units wide. If the frame is 3 units wide, then the dimensions of the inner rectangle (the shaded region) will be (12 - 6) × (10 - 6) which simplifies to 6 × 4.

Therefore, we can say that the inner rectangle has a length of 6 units and a width of 4 units.The dimensions of the outer rectangle are (12 + 3 + 3) × (10 + 3 + 3) which simplifies to 18 × 16. Therefore, we can say that the outer rectangle has a length of 18 units and a width of 16 units.

The area of the shaded region can be obtained by subtracting the area of the inner rectangle from the area of the outer rectangle. Therefore, the Area of the outer rectangle = length × width= 18 × 16 = 288 square units

Area of the inner rectangle = length × width= 6 × 4 = 24 square units

Area of the shaded region = Area of the outer rectangle - Area of the inner rectangle = 288 - 24= 264 square units

Therefore, the area of the shaded region is 264 square units.

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the Answear is B,D,A,C

Here mark the angles

By using angle sum property

So

So

Answer:

IH < GI < GH < FH < FG

Step-by-step explanation:

Find missing angles

Sum of interior angles of a triangle = 180°

⇒ ∠GFH = 180 - 55 - 75 = 50°

⇒ ∠IGH = 180 - 59 - 63 = 58°

Side lengths in relation to interior angles

The longest side of a triangle is opposite the largest interior angle, and the shortest side is opposite the smallest angle.

Therefore, angles/sides in order of least to greatest:

ΔIGH

∠IGH = 58  →   its opposite side is IH

∠GHI = 59  →   its opposite side is GI

∠G|H = 63  →   its opposite side is GH

Therefore,  IH < GI < GH

ΔFGH

∠GFH = 50  →  its opposite side is GH

∠FGH = 55  →   its opposite side is FH

∠FHG = 75  →   its opposite side is FG

Therefore, GH < FH < FG

Combining:  IH < GI < GH < FH < FG

Answer:

x = 19

Step-by-step explanation:

So cos and sin are closely related, but they are not equal. In order for these two to be equal to each other, the angles (in the parenthesis by the cos and by the sin) have to be complementary. That is, they have to add up to 90°

Use this idea to set up an equation.

x + 16 + 3x - 2 = 90

Combine like terms.

4x + 14 = 90

Subtract 14.

4x = 76

Divide by 4.

x = 19

x = 19

If you are kooking for the angles:

x + 16

= 19 + 16

= 35

and

3x - 2

= 3(19) - 2

= 57 - 2

= 55

Check: 35 + 55=90

Also,

cos35 = sin55

Answer:

the correct answer is 193

Step-by-step explanation:

25×1-0=25

25×2-1=49

49×2-1=97

97×2-1=193

Answer:

1708.14 rounded

Step-by-step explanation:

Y= a•b^x

5.5% = 0.055

1+0.055=1.055

Y= 1000•1.055^10

Y= 1708.14

Recall that the x% of y is given by the following expression:

1) Let D be the regular price (in dollars) of the drill. Since Pamela bought the drill at 85% of the regular price, and she paid $32.89 for the drill, then we can set the following equation:

2) Multiplying the above equation by 100 we get:

3) Finally, dividing the above equation by 85 we get:

Answer: The regular price is $38.69

Step-by-step explanation:

Might be a little easier to visualize if yo re-arrange it into y = mx + b form:

4x+ 5y = 20

5y = -4x + 20

y = - 4/5 x + 4         y-axis intercept at y = 4

                                x axis intercept is found by:

                                     0 = -4/5 x + 4

                                             - 4 = -4/5 x

                                                 x = 5

So===> plot the two intercept points ( 0,4)  and  ( 5,0)  and connect the dots

\(\log_b\left( \dfrac 1{10} \right)\\\\=\log_b 1 - \log_b 10\\\\=0-2.303\\\\=-2.303\)

Reasonably simple series with a tail that is thicker than the tail of the given Σ 1n × >> Σ (1/2), Σ (1/3)^n has a thicker tail than Σ (1/2)^n.

One possible series with a thicker tail than Σ (1/2)^n is the series Σ (1/3)^n, which can be written as:

1 + 1/3 + 1/9 + 1/27 + 1/81 + ...

To see that this series has a thicker tail than Σ (1/2)^n, we can compare the nth terms of the two series:

(1/2)^n = 1/2 × 1/2 × ... × 1/2 (n factors)

(1/3)^n = 1/3 × 1/3 × ... × 1/3 (n factors)

Since 1/2 > 1/3, the nth term of Σ (1/2)^n is greater than the nth term of Σ (1/3)^n for all n. However, the sum of the first k terms of Σ (1/3)^n is:

1 + 1/3 + 1/9 + ... + (1/3)^k

= (1 - (1/3)^k) / (1 - 1/3)

= (3/2) (1 - (1/3)^k)

which approaches 3/2 as k approaches infinity. In contrast, the sum of the first k terms of Σ (1/2)^n is:

1 + 1/2 + 1/4 + ... + (1/2)^k

= (1 - (1/2)^(k+1)) / (1 - 1/2)

= 2 (1 - (1/2)^(k+1))

which approaches 2 as k approaches infinity. Therefore, the series Σ (1/3)^n has a thicker tail than Σ (1/2)^n.

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Answer:

The speed of the plane in the still air is 420 miles/hour

The speed of the wind 60 miles/hour

Step-by-step explanation:

Let the speed of the plane with the wind be v

Let the speed of the plane against the wind be u

Now, speed = distance/time

With the wind,

v = (1440 miles)/(3 hours) = 480 miles/hour

v = 480 miles/hour

Against the wind,

u = (1440 miles)/(4 hours) = 360 miles/hour

u = 360 miles/hour

Now, let the speed of plane be p, and speed of wind be w,

Now, with the wind, the speed is 480 mph,

so,

speed of plane + speed of wind = 480 mph

p + w = 480  (i)

and against the wind, the speed is 360 mph,

so,

speed of plane - speed of wind = 360mph

p-w = 360 (ii)

adding equations (i) and (ii), we get,

p+w + p-w = 480 + 360

2p = 840

p = 840/2

p = 420 miles/hour

Then, the speed of the wind will be,

p + w = 480,

420 + w = 480

w = 480 - 420

w = 60 miles/hour

The speed of the plane in still air is calculated to be 420 mph, and the speed of the wind is calculated to be 60 mph by solving the two simultaneous equations obtained from the time, rate, and distance relationship.

This problem is about the rate, time, and distance relationships. The rate at which the airplane travels in still air is r (unaffected by wind), and the speed of the wind is w. When the plane flies with the wind, it is 'assisted' and therefore travels faster - at a speed of (r + w); against the wind, it travels slower - at a speed of (r - w).

From the problem, we know that:

By solving these two equations, we get the following:

Adding these two gives 2r = 840 => r = 420 mph (the speed of the plane in still air), and subtracting gives 2w = 120 => w = 60 mph (the speed of the wind).

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We have a total of seven 4-tuples that satisfy the given relation.The given relation is {(a,b,c,d) | a,b,c,d∈!+ , a+b+c+d = 6}. It can be understood as the set of 4-tuples (a, b, c, d) such that a, b, c, and d are positive integers and their sum is equal to 6.

Let's now list all the possible 4-tuples that satisfy the given relation. The possible combinations are as follows: (1, 1, 1, 3), (1, 1, 2, 2), (1, 2, 1, 2), (2, 1, 1, 2), (1, 2, 2, 1), (2, 1, 2, 1), and (2, 2, 1, 1).

Here's a brief explanation on how these 4-tuples were obtained. Let a, b, c, and d be positive integers such that a+b+c+d = 6. The least possible value that each variable can take is 1.

So, we start with a=1 and find all possible values of (b, c, d) that satisfy the given equation. Then, we move to a=2 and repeat the process. Finally, we list all the possible 4-tuples that we obtained.

Thus, we have a total of seven 4-tuples that satisfy the given relation.

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Answer:

B is the correct answer hope this helps!

Answer:

5.62790697674

Step-by-step explanation:

there you go

Answer:

the annswer is 5

Step-by-step explanation: you just have to divide the highlighted numbers, which are 20 ÷ 5

The lengths of the two legs of the right triangle are 58 and 839, in increasing order.

We have,

The formula given is incorrect.

The correct formula for Pythagorean triples with a given integer z is:

(z² - 1², 2z, z² + 1²)

Using this formula, we can find the two legs of the right triangle with hypotenuse 29 as follows:

z² + 1² = 29²

z² + 1 = 29²

z² = 29² - 1

z² = 840

z = √840

z = 28.98

Since z must be an integer, we can try integer values close to 28.98 to find one that works.

Trying z = 29,

a = z² - 1² = 840 - 1 = 839

b = 2z = 58

c = z² + 1² = 840 + 1 = 841

Therefore,

The lengths of the two legs of the right triangle are 58 and 839, in increasing order.

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