Find the G.C.D. of the following:
(a) 30, 45, 75

Answer:

C) 196 cu. units

Step-by-step explanation:

Volume = lwh/3

             = 7 x 7 x 12 / 3

              =  588/3

              = 196

The volume of a square pyramid is 196 cubic units.

Volume is the measure of the capacity that an object holds.

Formula to find the volume of the object is Volume = Area of a base × Height.

From the given figure, side of square base is 7 units and height is 12 units.

We know that, the volume of square based pyramid =a²h/3.

Now, volume of a pyramid = 1/3 ×7²×12

= 49×4

= 196 cubic units

Therefore, the volume of a square pyramid is 196 cubic units.

To learn more about the volume visit:

https://brainly.com/question/13338592.

#SPJ7

Answer:

9

Step-by-step explanation:

The correct answer would be 9

Answer:

1. 5/-2

2. 0/1

3. 6/2

Step-by-step explanation:

rise/run when calculating slope

Answer:

12.56

Step-by-step explanation:

2x2=4

4×3.14=12.56

area = 12.56

Answer:

300 dollars

Step-by-step explanation:

$1.8=£1/x dollars=£200

cross multiplying

x=200×1.8

x=$360

Answer:

218.26

Step-by-step explanation:

1 [tex]\frac{913}{10000}[/tex]  USD = 1 EURO.

I calculated it on E to USD calculator.

Answer:

GHJK=-240

Step-by-step explanation:

G=-4

H=-2

J=-6

K=5

[tex]-4*-2*-6*5=-240[/tex]

GHJK=-240

I think this is how you do it????

Answer:

-240

Step-by-step explanation:

Given;

evaluate ghjk if g=-4,h=-2,j=-6,and k =5

Substitute:

GHJK ⇒ (-4)(-2)(-6)(5)

(-4)(-2)(-6)(5)

(8)(-6)(5)

-48(5)

-240

~Learn with Lenvy~

Answer:

a)Null hypothesis : [tex]H_0:\mu \geq 15[/tex]

Alternate hypothesis : [tex]H_a:\mu < 15[/tex]

b)p value = 0.1003

c)We can conclude that the actual mean waiting time is significantly less than the claim of 15 minutes made by the taxpayer advocate.

Step-by-step explanation:

Null hypothesis : [tex]H_0:\mu \geq 15[/tex]

Alternate hypothesis : [tex]H_a:\mu < 15[/tex]

[tex]\mu = 15\\\bar{x}=13\\\sigma = 11\\n = 50[/tex]

Sample size is more than 30 . So, we will use Z test

[tex]Z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}\\Z=\frac{13-15}{\frac{11}{\sqrt{50}}}\\Z=-1.285[/tex]

Use z table to find p value

p value = 0.1003

α=0.05

p value<  α

So, we reject null hypothesis

Hence We can conclude that the actual mean waiting time is significantly less than the claim of 15 minutes made by the taxpayer advocate.

Answer:

Y=mx+b Is a linear equasion because if you plot the x and y on a graph it always shows a straight line.

Step-by-step explanation:

For example, y=7x+9,

When x is 1 y is 16, and

when x is 2 y is 23.

When you put those two points on a graph and connect the dots with a ruler, you get a straight line, and you will automatically find that when x is 3 y is 30.

Step-by-step explanation:

Hey there!

Reason:

You can simply define linear equation as the equation which has two variables with 1 exponent.

So, you can graph out that why it is called linear equation. It have two variables with 1 exponent.

Hope it helps..

Answer:

3 cis(43)

Step-by-step explanation:

When we divide number in polar form, we divide the modulus, and subtract the degrees.

36/12=3

45-2=43

3 cis(43)

answer:

B and C are correct.

explanation:

[tex]\hookrightarrow \sf x^2-5x+5[/tex]  where ax² + bx + c

\\ Thus we can determine a = 1, b = -5, c = 5 \\

using quadratic equation:

[tex]\rightarrow \sf x = \dfrac{ -b \pm \sqrt{b^2 - 4ac}}{2a} \ \ when \ \ ax^2 + bx + c = 0[/tex]

[tex]\hookrightarrow \sf x_{1,\:2}=\dfrac{-\left(-5\right)\pm \sqrt{\left(-5\right)^2-4\cdot \:1\cdot \:5}}{2\cdot \:1}[/tex]

[tex]\hookrightarrow \sf x=\dfrac{5+\sqrt{5}}{2},\:x=\dfrac{5-\sqrt{5}}{2}[/tex]

Answer:

B and C

Step-by-step explanation:

[tex]x^2-5x+5=0[/tex]

⇒ a = 1, b = -5, c = 5

Using quadratic formula:

[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]

[tex]\implies x=\dfrac{5\pm\sqrt{(-5)^2-4\cdot 1 \cdot 5} }{2\cdot 1}[/tex]

[tex]\implies x=\dfrac{5\pm\sqrt{5}}{2}[/tex]

Answer:

the dimensions are for in plus two in is equal to 6n

Hey there!

--› Initial deposit: 1600

--› rate = 3.75%

a) First, convert R as a percent to r as a decimal

r = R/100

r = 3.75/100

r = 0.0375 rate per year,

Substitute into formula

= A = P(1 + r/n)nt

A = P(1 + 0.0375/4)^4t

A = 1,600.00(1 + 0.009375)^4t

b)

A = 1,600.00(1 + 0.009375)^4t

A = 1,600.00(1 + 0.009375)^4(5)

A = 1,600.00(1 + 0.009375)^(20)

A = $1,928.28

The amount of money that will be present in the account in 5 years is P(5) = $1923.36

The standard exponential equations is expressed as:

p(t) = p0(1+r)^t

where:

Substitute

P(t) =1600(1+ 0.0375)^t
P(t) = 1600 (1.0375)^t

Hence the equation to represent the aount of money in the account as a function of time in years is P(t) = 1600 (1.0375)^t

If t =5 years

P(t) = 1600 (1.0375)^t

P(t) = 1600 (1.0375)^5
P(5) = $1923.36

Hence the amount of money that will be present in the account in 5 years is P(5) = $1923.36

learn more on compound interest here: https://brainly.com/question/24924853

#SPJ2

Answer:

sin(kx) has period 2π/k so, you want 2 + 5sin(16π/7 x)

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The square root should be about half of that number so half of 7 is 3.5.

Answer:

he bouyancy Force of the hippo using the bouyancy force relation is 24107.1 N.

Given the Parameters :

Density of water = 1 kg/m³

Mass of hippo = 2500 kg

Volume = 2.46 m³

The bouyancy Force is defined as,  :

Density of hippo =

Substituting values into the relation :

Therefore, the bouyancy Force is 24107.1 N

Learn more :brainly.com/question/14604866

Step-by-step explanation:

Answer:

17=n<

Step-by-step explanation:

17

Answer:

Step-by-step explanation:

17+ n/5=33

17+33-n/5

N= 50..

50/5

The central limit theorem is used to consider sample sizes of at least 30

The mean of the distribution is 40, and the standard deviation is 4.47

The given parameters as:

p =50% --- the proportion

n = 80 --- the sample size

The mean is then calculated as:

[tex]\bar x =np[/tex]

So, we have:

[tex]\bar x =80 * 50\%[/tex]

[tex]\bar x =40[/tex]

The standard deviation is calculated as:

[tex]\sigma = \sqrt{np(1 -p)[/tex]

So, we have:

[tex]\sigma = \sqrt{80 *50\% * (1 - 50\%)[/tex]

Evaluate the root

[tex]\sigma = 4.47[/tex]

Hence, the mean of the distribution is 40, and the standard deviation is 4.47

Read more about the central limit theorem at:

https://brainly.com/question/17186021

I like marshmallows and weird fives eat food

Answer:

the value of 8 in the first one is 8

in the second one is 80

Answer:

anything before -1 is lower than -1.  -1 = -1

Step-by-step explanation:

-10, -9, -8, -7, -6, -5, -4, -3, -2 etc. are in a sense before -1 on a time line and they are all less than -1

Set B represents the set of all the natural numbers less than or equal to -1

[tex]\rm B=\{-\infty ...........-4,-3,-2,-1\}[/tex]

if we include all the numbers the range of set includes every number from

[tex]\rm -\infty \; to -1[/tex] so the set is represented by K

[tex]\rm K = \{ -\infty ,.....-1\}[/tex]

In Mathematics a set is  a collection of objects/elements that are constrained by some particular condition.

Let us consider a situation where "S" is the set and the elements are represented by "x"

A set is always denoted in curly braces. Expression (1) represents the set

[tex]\rm S =[/tex] { [tex]\rm x_1.x_2,x_3, x_4,x_5........x_n[/tex]}...........(1)

Set S  has elements that are represented as [tex]\rm x_1[/tex][tex]\rm\\where \; i \; represents\; the\; index\; of \; the \; element\\n = number\; of \; elements \; in \; the \; set \; x[/tex]

The set of all the natural numbers less than or equal to -1 is the set of all the negative integers including  -1.

So let us say B represents the set of all the natural numbers less than or equal to -1 . Then we can write it as follows

[tex]\rm B=\{-\infty ...........-4,-3,-2,-1\}[/tex]

Set B represents the set of all the natural numbers less than or equal to -1

if we include all the numbers the range of set includes every number from

[tex]\rm -\infty \; to -1[/tex] so the set becomes  

[tex]\rm K = \{ -\infty ,.....-1\}[/tex]

For more information please refer to the link below

https://brainly.com/question/4801204

Answer:

✔️✔️✔️✔️✔️✔️✔️✔️✔️✔️✔️✔️✔️✔️

Explanation:

Tangent lines touch the circle at exactly one point.

Answer:

C.

Step-by-step explanation:

pa brnlst hehehheeh

thx m ltr

Step-by-step explanation:

here

radius of circle(h,k)=(-7,11)

so ,h=-7

and k=11

r=8

we know that,

(x-h)^2+(y-k)^2=r^2

(X+7)^2 + (y-11)^2= 8^2

X^2+14x+49 +y^2-22y+121= 64

x^2+y^2+14x-22y+106=o is the equation of circle .

Divide rulers by rooms:

672/21 = 32

Each room gets 32 rulers

Answer:

32 rulers per classroom

Step-by-step explanation:

672rulers ÷ 21 classroom

=32 rulers per classroom

Answer:

1.  y=-3x+7

2.  y=3/4x+10

3. y=-5x-2

4. y=12x-6

5. y=1/2x+9

Step-by-step explanation:

for numbers 2, 4, 3, and 5 all you have to do is look at the slope they give you. in a linear equation (y=mx+b) the m is the slope. because there is only one equation with the slope they give you, that is the corresponding answer. but for 1, its a bit more complicated. because they give you a point you have to plug the x value into your equation. for exaple for 1. they give you 0 as the x value so you plug it into one of the equations. and if that equation gives you 7 as the y, then you have your answer.

Answer:

100.5309649cm

Step-by-step explanation:

The formula for the circumference of a circle is:

2πr

if the radius is 16cm, we just need to substitute 16 for r:

2π(16)

= 32π

= 100.5309649cm

You can round this however you like, however I would recommend doing either 3 significant figures either 2 or 3 decimals places :)