Find the range of the following data:
(a) The weights (in kg) of 10 persons are:
22, 27, 29, 31, 33, 36, 37, 39, 41, 43.​

Answer:

D. -∞ < y < 5

Step-by-step explanation:

The range are all the possible values for y that the function can take. In the graph we can see that the highest value for y is 5 and there isn't a lowest value for y. It means that the range are values between -∞ and 5.

So the range is:

-∞ < y < 5

Answer:

Yes

Step-by-step explanation:

As long as the input has an output it will always be a function.

Answer:

Yes

Step-by-step explanation:

Because there isn't a number in the input colum that is repeated like:

1

1

2

3

Instead each number is individual and they aren't repeated.

If they were repeated then it would NOT be a function.

Have a good day. :)

Hope this helps!

(brainliest would be appreciated)

Answer:

The answer is A (97.5)

Step-by-step explanation:

Formula Using the Diagonals

That means the two diagonals form two sides of a square that is twice the size of the rhombus. You can find the area in square units of the rhombus by multiplying the lengths of the two diagonals (d1 and d2 ) and dividing by two.

(13)(15) /2 = 195 /2

(Decimal: 97.5)

Please mark brainliest!

Answer:

[tex]x=1\,,\,y=-1[/tex]

Step-by-step explanation:

Given: [tex]ax+by=a-b\,,\,bx-ay=a+b[/tex]

To solve: the given linear equations

Solution:

Consider the equations:

[tex]A_1x+B_1y+C_1=0\\A_2x+B_2y+C_2=0[/tex]

By method of cross multiplication:

[tex]\frac{x}{B_1C_2-B_2C_1}=\frac{y}{C_1A_2-C_2A_1}=\frac{1}{A_1B_2-A_2B_1}[/tex]

For equations: [tex]ax+by=a-b\,,\,bx-ay=a+b[/tex]

[tex]ax+by-(a-b)=0\\bx-ay-(a+b)=0[/tex]

Take [tex]A_1=a\,,\,B_1=b\,,\,C_1=-(a-b)\,,\,A_2=b\,,\,B_2=-a\,,\,C_2=-(a+b)[/tex]

So,

[tex]\frac{x}{-b(a+b)-a(a-b)}=\frac{y}{-b(a-b)+a(a+b)}=\frac{1}{-a^2-b^2}\\\frac{x}{-ab-b^2-a^2+ab}=\frac{y}{-ab+b^2+a^2+ab}=\frac{1}{-(a^2+b^2)}\\\frac{x}{-(a^2+b^2)}=\frac{y}{a^2+b^2}=\frac{1}{-(a^2+b^2)}\\\frac{x}{-(a^2+b^2)}=\frac{1}{-(a^2+b^2)}\,,\,\frac{y}{a^2+b^2}=\frac{1}{-(a^2+b^2)}\\x=1\,,\,y=-1[/tex]

Answer:

Step-by-step explanation:

Give jamila's Mean earning = $24

let her ninth earning be x

we know that mean= (∑sumation of earnings)/number of earnings

[tex]24= \frac{15+20+ 10+ 12+ 20+ 16+ 18+ 25+x}{9}[/tex]

[tex]24= \frac{136+x}{9} \\24*9=136+x\\216=136+x\\x=136-216\\x=80[/tex]

Her ninth earning is $80

Answer:

[tex] \boxed{f = -6} [/tex]

Step-by-step explanation:

[tex] = > - 7f - 9 = 9 - 4f \\ \\ = > - 7f + 4f - 9 = 9 \\ \\ = > - 3f = 9 + 9 \\ \\ = > - 3f = 18 \\ \\ = > 3f = - 18 \\ \\ = > f = - \frac{18}{3} \\ \\ = > f = - 6[/tex]

Answer:

the answer

is b

i hope that helps

Answer:

52 degree

Step-by-step explanation:

So using cos again again :v

AC^2 = AB^2 +BC^2 - 2ABBCcosB

AC = 31.796cm

then

BC^2=AB^2 + AC^2 -2ABACcosA

Cos A = 0.61

A=52.17degree

Answer:

Only Noah is correct.

Step-by-step explanation:

Volume of the cube = 10^3 = 1000 units.

Total volume of the cube + the prism = 1000 + 2

= 1020 cubic units.

Answer:

Only Noah is correct.

Step-by-step explanation:

Volume of the cube = 10^3 = 1000 units.

Total volume of the cube + the prism = 1000 + 2

= 1020 cubic units.

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

Answer: A. [tex]y = x^{2} + 6x + 8[/tex]

Step-by-step explanation:

You can plug in the know point of (-3, -1) to each equation to see which one fits. The correct one in this case is [tex]y = x^{2} + 6x + 8[/tex]

Answer:

6 x(6x)+6x*-1+1(6x)+1*-1  SIMPLIFIED: 36x^2-1

Step-by-step explanation:

Use foil and distributive property

Answer:

1cm = 320 km?

Step-by-step explanation:

Answer:

[tex]3.2km[/tex]

Step-by-step explanation:

[tex]1 \: : 320000 \\ 1cm = 320000cm[/tex]

[tex]1cm = 100m \\ [/tex]

[tex]1cm = 320000cm \\ 1cm = 3200m[/tex]

[tex]1km \: \: = 1000m[/tex]

[tex]1cm = 3200m \\ 1cm = 3.2km[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer: 7/30

Step-by-step explanation: 2/5-1/6= 7/30, if it helps pls mark me as brainliest

[tex]\text{First, simplify the equation into slope intercept form:}\\\\2y+3x=1\\\\2y=-3x+1\\\\\text{Divide by 2}\\\\y=-\frac{3}{2}x+1\\\\\text{Now, the perpendicular line is the opposite of the slope, and the opposite}\\\text{value}\\\\\text{Since our original equation is negative, the perpendicular lien will be positive}\\\\\text{And then you would just flip the fraction}\\\\\text{Your perpendicular line should be:}\\\\\boxed{y=\frac{2}{3}x+1}[/tex]

Answer:

The answer is 88%

After 7 seconds the cup is about 88% filled with water.

Answer:

Step-by-step explanation:

If a ball thrown downward from a window in a tall building is modeled by the equation, s = 16t² + 32t where s in feet, in order to know the time it will take to fall a distance of 276, we will substitute s = 276feet into the equation and calculate for the value of t as shown;

276 = 16t² + 32t

16t² + 32t = 276

Dividing through by 4

4t² + 8t = 69

4t² + 8t - 69 = 0

Using the general formula to find t

t = -b±√b²-4ac/2a

a = 4, b = 8 and c = -69

t = -8±√8²-4(4)(-69)/2(4)

t = -8±√64+1104/8

t = -8±√1168/8

t = -8±34.176/8

t = -8+34.176/8 or -8-34.176/8

t = 3.272 or -5.272

neglecting the negative time, t = 3secs to the nearest seconds

It will take the all 3secs to fall 276 feets

Answer:

150 mg

Step-by-step explanation:

This is an addition problem. Simply add the mg of the antibiotic that the patient takes each day.

So  you would do:

60+45+30+15 = 150

Since you get a result of 150, 150 mg is the answer.

The addition is one of the four fundamental mathematical operations. The patient will take a total of 150 mg of antibiotics.

The addition is one of the four fundamental mathematical operations, the others being subtraction, multiplication, and division. When two whole numbers are added together, the total quantity or sum of those values is obtained.

The total amount of antibiotics the patient will take is,

Total Antibiotic = 60mg + 45mg + 30mg + 15mg = 150 mg

Hence, the patient will take a total of 150 mg of antibiotics.

Learn more about Addition:

https://brainly.com/question/14092461

#SPJ2

Answer:

Shirley bought a fax machine and sells to Devi at a profit of 25% on the cost price.

Shirley buy price:: x

Devi buy price:: 1.25x

Devi sells the fax machine to Amirah at a loss of 250 on the price which she buys it from Shirley.

Amirah buy price = 1.25x -250

if Amirah pays $360 for the fax machine,how much did Shirley pay for it?

Equation:

1.25x - 250 = 360

1.25x = 360 + 250

x = 610 / 1.25

x = 488

Ans: x = $488 (Price Shirley paid)

Answer:

3/2

Step-by-step explanation:

Divide by 4 to get 6x/4 = 3x/2

Answer:

[tex]4x^2 + 12x + 8[/tex]

Step-by-step explanation:

Area of rectangle

= height * width

[tex]=4(x^2 +3x +2)\\= 4x^2 + 12x + 8[/tex]

Answer:

add 2 and 4

Step-by-step explanation:

x²+3x+6

Answer:

$2.70

Step-by-step explanation

Jennifer and Linda both bought one apple, but they bought different numbers of oranges. Looking at the numbers, we see that Linda bought 2 more oranges than Jennifer (they bought the same number of apples, so disregard apples for now, we will look at them later).

Subtracting Jennifer's cost from Linda's cost, 7.50 - 5.10 = 2.40

So, we know that 2 oranges cost $2.40, so 1 orange will then cost $1.20.

Now we know the cost of 1 orange. So, we can find the price of an apple by finding the cost of 3 oranges. 3 x 1.20 = 3.60. So, Jennifer's 3 oranges cost 3.60, and subtract this cost from the total cost and we find that 1 apple costs $1.50.

Add the price of 1 apple and 1 orange. $1.50 + $1.20 = $2.70

Answer:

a. A point

b. Obtuse angle

c. A line segment

d. 180 degrees

e. A ray

f. An acute angle

g. 90 degrees

Step-by-step explanation:

a. A point (a place on a plane that has no dimension)

b. Obtuse angle (any angle over 90 degrees)

c. A line segment (a part of a line)

d. 180 degrees (The angle of a line or line segment)

e. A ray (a line segment with one end extending forever)

f. An acute angle (Any angle under 90 degrees)

g. 90 degrees (the pole is perpendicular to the ground)

Answer:

Juan conclusion is counterexample

Answer:

1, 2, and 5

Step-by-step explanation:

Answer:

m∠HLI = m∠ILM

Step-by-step explanation:

Answer:

x = -4

y = -21

Step-by-step explanation:

To solve this, we will need to set up a system of equations and get rid of a variable.

-3x - 2y = 54

-6x + 2y = -18

From this, we can see that the 'y' variables can be cancelled out if we add the two together. This means that we must add these equations to each other to cancel out the 'y' variables:

-3x - 2y = 54

-6x + 2y = -18

-------------------- +

-9x = 36

x = -4

Since we have solved for 'x', we can simply plug this value into an equation to find 'y'.

-3(-4) -2y = 54

12 - 2y = 54

-2y = 42

y = -21.

Answer:

96%

Step-by-step explanation:

Take the amount spent of fruit and divide by the total

48/50

Percent means out of 100 so multiply the top and bottom by 2

96/100

96%

Answer:

If Joe has a total of 50 dollars and uses only 48 dollars and you are trying find the percentage of how much he spent, all you need to do is take the amount of money he use dives it by how much money he had in the beginning. Then multiply the number by 100 to get the percentage.

48/50=.96

.96*100=96%

In total he spent 96% of his money.

Answer:

23/27

Step-by-step explanation:

The square root of 529 is 23

while the square root of 729 is 27

Answer:

23/27

Step-by-step explanation:

529=23^2

729=27^2

sqrt{529/729} =sqrt{[tex]23^{2}[/tex]/[tex]27^{2}[/tex]}

= 23/27

Answer: 34 cm

Step-by-step explanation:

Hi, since the situation forms 2 right triangles (see attachment) we have to apply the Pythagorean Theorem (to one triangle)

c^2 = a^2 + b^2  

Where c is the hypotenuse of the triangle (in this case the distance between corners) and a and b are the other sides.  

Replacing with the values given:  

c^2 = 12^2 + 12^2  

c^2 =144+144  

c^2 = 288

c = √288

c = 16.97 cm = 17 cm (rounded)

The other diagonal has the exact same lenght (because the flag is a square)

So, we have to multiply the length of the ribbon by 2:

17 x2 = 34 cm

Feel free to ask for more if needed or if you did not understand something.  

Answer:

34

Step-by-step explanation:

I did it on Khan