which table of ordered pairs represents a function?


A
x 4 4 4 4 4
y -7 -5 -2 1 5

B
x 0 1 2 3 4
y 3 2 6 3 11

C
x -3 -2 1 6 -2
y 1 2 3 4 -1

D
x -2 -1 0 0 1
y 4 4 4 -2 -2​

Answer:

h = 4

Step-by-step explanation:

Calculate the slope m using the slope formula and equate to 2

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = M (h, 3 ) and (x₂, y₂ ) =  N (- 2, - 9 )

m = \(\frac{-9-3}{-2-h}\) = \(\frac{-12}{-2-h}\) , then

\(\frac{-12}{-2-h}\) = 2 ( multiply both sides by - 2 - h )

2(- 2 - h) = - 12 ( divide both sides by 2 )

- 2 - h = - 6 ( add 2 to both sides )

- h = - 4 ( multiply both sides by - 1 )

h = 4

The CPI means consumer price index. The CPI is 151. Then the correct option is B.

The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.

A raincoat costs $79. 25 today. If a similar raincoat cost $52. 48 in 1983.

CPI is given as

\(\rm CPI = \dfrac{Price\ of\ raincoat\ today}{Price\ of\ raincoat\ in\ 1983}*100\\\\ CPI = \dfrac{79.25}{52.47}*100\\\\ CPI = 151\)

More about the percentage link is given below.

https://brainly.com/question/8011401

Answer:

\(-3x^{2} -5x+2\)

Step-by-step explanation:

I'm assuming the original problem is to simplify the expression \(-2x(x+3)-(x+1)(x-2)\).

Step 1: Multiply (x+3) by -2x

\(-2x(x+3)=(-2x*x)+(-2x*3) = -2x^{2} -6x\)

The expression becomes \(-2x^{2} -6x-(x+1)(x-2)\)

Step 2: Simplify (x+1)(x-2)

The easiest way to simplify this is to use the "FOIL" method.

(x+1)(x-2)

F = x*x

O = x*(-2)

I = 1*x

L = 1*(-2)

F+O+I+L=\(x^{2} -2x+x-2=x^{2} -x-2\)

The expression becomes \(-2x^{2} -6x-(x^{2} -x-2)\)

Step 3: Multiply \(x^{2} -x-2\) by -1:

\((-1)(x^{2} -x-2)=-x^{2} +x+2\)

The expression becomes \(-2x^{2} -6x-x^{2} +x+2\)

Step 4: Combine like terms

\(-2x^{2} -x^{2} =-3x^{2}\)

\(-6x+x=-5x\)

The expression becomes \(-3x^{2} -5x+2\)

Answer:

She spent 504 total hours in South America

Step-by-step explanation:

There are 24 hours in a day, she spent a total of 21 days in South America. You take 24 hours and multiply it by 21 days to get 504 total hours.

Answer:

504

Step-by-step explanation:

1 day is 24 hours

21 days will be 24 times 21 which is 504

Hope it helped.

Answer:

I believe the answer is D

Step-by-step explanation:

Since, 1 fl oz = 29.6 ml ; and. For the British fluid ounce, 1 fl oz = 28.4 ml .80 mL is equal to 2.70512 ounce.

Ounce:

The ounce is one of several units of mass, weight, or volume that has changed little from the ancient Roman unit of measurement, the ounce. Avoirdupois ounce (exactly 28.349523125 grams) is equal to 1/16 of an avoirdupois pound. These are US standard ounces and British imperial ounces. It is mainly used in the United States to measure packaged foods and food portions, postage, fabric and paper weights, boxing gloves, etc., but is also occasionally used in other Anglo-Pierre countries.

Now,

Convert 80ml to ounces. Since there is only one fl oz in UK and California, it is not difficult to swap 80ml per oz. in UK and 80ml per fl oz in California.

Just divide 80 by 28.4130625 using the formula [oz.] = 80 / 28.4130625.

In the United States, it is customary to divide an amount of 80 milliliters by 29.5735295625 using the formula [oz.] = 80 / 29.5735295625.

And for US food ounces, divide the volume in ml to get the volume in fluid ounces: [oz.] = 80 / 30.

Learn more about Ounce:

https://brainly.com/question/29374025

#SPJ4

Answer: 15

Step-by-step explanation:

y = 5

3(y) = answer

3(5) = 15.

Answer:

U SHOULD PUT YA DOG OUTSIDE SAVE YA CAT

Answer:

you just said your dog was eating ketchup so imma assume he's fine now

Step-by-step explanation:

Answer:

is this on khan academy?

The sum οf \((x - 5x^2 - 12)\) and \((4 + 11x - 3x^2)\) is \(12x - 8x^2 - 8.\)

The term "sum" can alsο be used tο describe a specific sum οf mοney. Yοu cοuld spend a cοnsiderable amοunt οf mοney οn a new car. Hοwever, if yοu tοtal up οr add up all οf its advantages, yοu might be able tο justifiably justify spending sο much.

When yοu add up the cοsts οf everything yοu οrdered at the restaurant, yοu can determine the final tοtal. It's nοt necessary fοr sum tο οnly refer tο numerical values. A summary οr general statement abοut sοmething is what yοu are giving when yοu sum sοmething up.

Tο find the sum οf \((x - 5x^2 - 12)\) and \((4 + 11x - 3x^2)\), we need tο add the like terms. Like terms are thοse terms that have the same variable raised tο the same pοwer.

Sο, the sum οf  \((x - 5x^2 - 12)\) and \((4 + 11x - 3x^2)\) is:

\((x + 11x) + (-5x^2 - 3x^2) + (-12 + 4)\)

Simplifying, we get:

\(12x - 8x^2 - 8\)

Therefοre, the sum οf \((x - 5x^2 - 12)\) and \((4 + 11x - 3x^2)\)  is \(12x - 8x^2 - 8.\)

learn more about sum

https://brainly.com/question/13013054

#SPJ1

Answer:

$29.95

Step-by-step explanation:

(movies)38.45 - (CD) 8.50 = 29.95

We know the total bill was $38.45, and the known number the cost was is 8.50. In the end, we just subtract the total and the known number.

~~hope this helps~~ :)

Answer:

240°

Step-by-step explanation:

Draw a line EF perpendicular to AB and CD passing through M

In △BME 

∠BME+∠MBE+∠BEM=180∘ (Angle sum proprerty)

∠BME+35∘+90∘=180∘∠BME=180∘−125∘∠BME=45∘

In △DMF

∠DMF+∠MDF+∠MFD=180∘ (Angle sum property )

∠DMF+75∘+90∘=180∘∠DMF=180∘−165∘∠DMF=15∘

x=∠DMF+∠BME+∠EMF

x=15∘+45∘+180∘x=240∘

Answer:

Rational

Step-by-step explanation:

Rational numbers have terminating decimals

Answer: rational

Step-by-step explanation: 4.680 is a rational number because it can be written as a fraction. Irrational numbers are fractions that can’t be written as a fraction, which isn’t the case for 4.680.

The required hypothesis are as follows , H0: μ = 438 and Ha: μ ≠ 438

The null hypotheses for the above scenario will be the statement of no effect and it'll be the mean weight of the bag that filled will be 438grams.

H0: μ = 438

The alternative hypotheses for the above scenario will be that the bag isn't filled with 438grams. They are either underfilled below 438grams or overfilled above 438grams.

Ha: μ ≠ 438

Statistics is the study of surveys and research on numerical data. In order to conduct surveys, the hypothesis must be established. There are typically two different kinds of hypotheses. A null hypothesis is one that holds true, whereas an alternate hypothesis is another.

The null hypothesis is a broad assertion or default condition that there is nothing happening. For instance, there is no relationship between two measured occurrences or a connection between groups.

To learn more about hypothesis

https://brainly.com/question/23936780

#SPJ4

The interval estimate of the population mean when a random sample is taken of the speed on highway is 59.5<h<64.1. Option C is correct.

The probability or the chances of error while choosing or calculating a sample in a survey is called the margin of error.

The interval estimate of the population mean can be found out using the following formula:

\(\overline X\pm MOE\)

Here, \(\overline X\) is the average mean, and the MOE is the margin of error.

On a highway, a random sample is taken of the speed, in mph, of 50 cars.

Put the values in the above formula as,

\(61.8\pm 2.3\\59.5,641\)

Thus, the interval estimate of the population mean

\(59.5 < h < 61.8\)

Hence, the interval estimate of the population mean when a random sample is taken of the speed on highway is 59.5<h<64.1. Option C is correct.

Learn more about the margin of error here;

https://brainly.com/question/10218601

#SPJ2

After considering the given data we conclude that 1.50 moles of barium hydroxide will produce 3.00 moles of ammonium hydroxide.

To describe the number of moles of ammonium hydroxide produced when 1.50 moles of barium hydroxide are reacted, we have to balance the chemical equation and use the stoichiometric ratios.
The balanced chemical equation for the reaction is:
\(Ba(OH_{2} ) + (NH_4) _2 SO_4 -- > 2NH_4OH + BaSO_4\)
From the balanced equation, we can see that 1 mole of barium hydroxide reacts with 2 moles of ammonium hydroxide. Therefore, the stoichiometric ratio is 1:2.
Given that we have 1.50 moles of barium hydroxide, we can evaluate the moles of ammonium hydroxide produced using the stoichiometric ratio:
1.50 moles  \(Ba(OH)_2\) × (2 moles \(NH_4OH\) / 1 mole \(Ba(OH) _2\)= 3.00 moles \(NH_4OH\)
Therefore, 1.50 moles of barium hydroxide will produce 3.00 moles of ammonium hydroxide.

To Learn more about ammonium hydroxide
https://brainly.com/question/31367127
#SPJ4

Answer:

Area = 81pi square meters

Step-by-step explanation:

Circumference is the distance around the outside of a circle.

C = pi • d

The circumference is given in your problem.

18pi = pi • d

divide both sides by pi.

18 = d

The diameter is 18. The radius is half the diameter, 18/2 is 9. The radius is 9 meters.

Area is given by:

Area = pi • r^2

= pi • 9^2

= pi • 81

= 81pi sq m

The area is 81pi square meters.

The formula for the circumference of a circle is:

C = 2πr

Given that the circumference of the circle is 18π meters, we can equate it to the formula:

18π = 2πr

Dividing both sides of the equation by 2π:

9 = r

Therefore, the radius of the circle is 9 meters.

To find the area of the circle, we can use the formula:

A = πr^2

Substituting the value of the radius:

A = π(9)^2

Simplifying:

A = π(81)

The area of the circle is 81π square meters.\(\)

The expansion of (a+b)^15 is: a^15 + 15a^14b + 105a^13b^2 + 455a

To expand (a+b)^15 using the Binomial Theorem, we can use the formula:

(a + b)^n = C(n,0)a^nb^0 + C(n,1)*a^(n-1)*b^1 + C(n,2)*a^(n-2)*b^2 + ... + C(n,n-1)a^1b^(n-1) + C(n,n)a^0b^n

where C(n,k) represents the binomial coefficient "n choose k" which is equal to n!/(k!(n-k)!).

In this case, n = 15, so we have:

(a+b)^15 = C(15,0)a^15b^0 + C(15,1)a^14b^1 + C(15,2)a^13b^2 + ... + C(15,14)a^1b^14 + C(15,15)a^0b^15

We can evaluate each binomial coefficient using the formula above, or we can use Pascal's Triangle to obtain the coefficients:

1

1 1

1 2 1

1 3 3 1

1 4 6 4 1

1 5 10 10 5 1

1 6 15 20 15 6 1

1 7 21 35 35 21 7 1

1 8 28 56 70 56 28 8 1

1 9 36 84 126 126 84 36 9 1

1 10 45 120 210 252 210 120 45 10 1

1 11 55 165 330 462 462 330 165 55 11 1

1 12 66 220 495 792 924 792 495 220 66 12 1

1 13 78 286 715 1287 1716 1716 1287 715 286 78 13 1

1 14 91 364 1001 2002 3003 3432 3003 2002 1001 364 91 14 1

1 15 105 455 1365 3003 5005 6435 6435 5005 3003 1365 455 105 15 1

Thus, we have:

(a+b)^15 = 1a^15b^0 + 15a^14b^1 + 105a^13b^2 + ... + 5005a^1b^14 + 32768a^0b^15

Simplifying, we get:

(a+b)^15 = a^15 + 15a^14b + 105a^13b^2 + 455a^12b^3 + 1365a^11b^4 + 3003a^10b^5 + 5005a^9b^6 + 6435a^8b^7 + 6435a^7b^8 + 5005a^6b^9 + 3003a^5b^10 + 1365a^4b^11 + 455a^3b^12 + 105a^2b^13 + 15ab^14 + b^15

Therefore, the expansion of (a+b)^15 is:

a^15 + 15a^14b + 105a^13b^2 + 455a

Learn more about the Binomial Theorem:https://brainly.com/question/13672615

#SPJ11

Answer:

Step-by-step explanation:

Answer:

17 weeks

Step-by-step explanation:

(12×17)+21= 225

(10×17)+55=225

Answer:

I'd say the first one, it is most common for states to have four or fewer roller skating rinks.

Have a lovely day/night! <3

Answer:

Temperature difference: 14.70°F

Step-by-step explanation:

Since the temperature decreased from 71.50°F to 56.80°F, we could determine the temeprature difference by subtracting the given temperatures:

71.50°F - 56.80°F = 14.70°F

Therefore, the temperature decreased by 14.70°F overnight.

Answer:

When x=0, y = 8

When y=0, x = -4

Step-by-step explanation:

Answer:

M = 2

Step-by-step explanation:

The equation of the ellipse in standard form is x² / 36 + y² / 25 = 1.

In this problem we have the representation of an ellipse set on Cartesian plane, whose standard form is shown below:

(x - h)² / a² + (y - k)² / b² = 1

Where:

If we know that a = 6, b = 5 and (h, k) = (0, 0), then the standard form of the equation of the ellipse is:

x² / 36 + y² / 25 = 1

To learn more on ellipses: https://brainly.com/question/20393030

#SPJ1

In this case, we'll have to carry out several steps to find the solution.

Step 01:

data:

triangle:

sides:

a = 14 cm

b = 9 cm

c = 6 cm

Step 02:

law of cosines:

B = arc cos 0.8988

B = 25.99

The answer is:

B = 26°

Answer:

8 inches

Step-by-step explanation:

The volume of a hemisphere is half the volume of a sphere.

Therefore, the sum of the volumes of the two hemisphere-shaped scoops of ice cream (with diameters of 4 inches), is equal to the volume of a sphere with diameter of 4 inches.

If the melted ice cream fills the cone exactly to the top without overflowing, the volume of the cone with diameter of 4 inches must be equal to the volume of a sphere with diameter of 4 inches.

As the diameter of a circle is twice its radius, then the radius of the sphere and cone is r = 2 inches.

The formulas for the volume of a cone and the volume of a sphere are:

\(\boxed{\begin{minipage}{4 cm}\underline{Volume of a cone}\\\\$V=\dfrac{1}{3} \pi r^2 h$\\\\where:\\ \phantom{ww}$\bullet$ $r$ is the radius. \\ \phantom{ww}$\bullet$ $h$ is the height.\\\end{minipage}}\)   \(\boxed{\begin{minipage}{4 cm}\underline{Volume of a sphere}\\\\$V=\dfrac{4}{3} \pi r^3$\\\\where:\\ \phantom{ww}$\bullet$ $r$ is the radius.\\\\\end{minipage}}\)

The depth of the cone is its height.

Therefore, to calculate how deep the cone must be so that the melted ice cream will fill the cone exactly to the top without overflowing, set the two equations equal to each other, substitute r = 2, and solve for h (the depth of the cone).

\(\begin{aligned}\textsf{Volume of a cone}&=\textsf{Volume of a sphere}\\\\\dfrac{1}{3} \pi (2)^2 h & = \dfrac{4}{3} \pi (2)^3\\\\\dfrac{1}{3} \pi \cdot 4 h & = \dfrac{4}{3} \pi \cdot 8\\\\\dfrac{4}{3} \pi h& = \dfrac{32}{3} \pi \\\\\dfrac{4}{3} h& = \dfrac{32}{3} \\\\4 h& = 32 \\\\h&=\dfrac{32}{4}\\\\h&=8\; \sf inches\end{aligned}\)

Therefore, the depth of the cone must be 8 inches.

The cone must be at least 8 inches deep in order for the melted ice cream to fill the cone exactly to the top without overflowing.

1. The opening of the ice cream cone has a diameter of 4 inches. This means that the radius of the cone's opening is 4/2 = 2 inches.

2. The two hemisphere-shaped scoops of ice cream have diameters of 4 inches each. This means that the radius of each scoop is 4/2 = 2 inches.

3. When the ice cream melts, it will take up the space between the scoops and fill the cone. In order for the melted ice cream to fill the cone exactly to the top without overflowing, the depth of the cone must be equal to the combined height of the two ice cream scoops.

4. The height of each hemisphere-shaped scoop can be calculated using the formula for the volume of a sphere, which is (4/3)πr³, where r is the radius.

  - For each scoop, the radius is 2 inches, so the height of each scoop is (4/3)π(2)³ = (4/3)π(8) = (32/3)π.

5. Since there are two scoops, the combined height of the two scoops is 2 * (32/3)π = (64/3)π.

6. Therefore, the cone must be at least (64/3)π inches deep in order for the melted ice cream to fill the cone exactly to the top without overflowing. This is approximately equal to 67.03 inches.

For more such questions on inches, click on:

https://brainly.com/question/876758

#SPJ8

Answer:

the answer is b between 6 and 7

Step-by-step explanation:

i say this because the square root of 41 is 6.4031.

6.4031 is in between 6 and 7.

hope this helps :)

From the given information in the dichotomous key, the relationship that can be determined is that organism Z is genetically closer to organism X than to organism Y.

This conclusion is drawn based on the statement that organism X and organism Z have at least one observable trait in common. It indicates a similarity between these two organisms. Additionally, the statement also mentions that organism Y has at least one observable trait in common with organisms X or Z, implying some level of similarity between organism Y and either organism X or organism Z.

Moreover, the key states that organism X is in a different phylum than organism Y, suggesting a taxonomic distinction between these two organisms.

Therefore, based on the information provided, the relationship that can be determined is that organism Z is genetically closer to organism X than to organism Y.

To know more about dichotomous key, visit:
brainly.com/question/30582413

#SPJ11