Your friend took an introductory statistics class last year and learned all about density curves. she tells you that two requirements of a density curve are:______.

Answer:

80

Step-by-step explanation:

We have a specific formula for the Surface Area of a Pyramid.

Which is= A+1/2ps ))))

1. A stands for the Area of the base. let's find our area! (This is length x width)

So this is 4x4=16

2. Now, P stands for PERIMETER of the base, which means we add all of the sides together. That would be 4+4+4+4=16.

3. Finally, S stands for Slant Height. Which is eight inches.

Lets plug our numbers in!

4. Now we get a sparkly, full formula! 16+1/2x16x8

5. 16+1/2x128

6. 16+64

7. 80

if this answer is wrong, dislike it/report it!
much love <333 have a nice day!

The Slope of the line q is 7/3

Given that  a line “p” has a slope [tex]\frac{7}{3}[/tex] , another line “q” is given which is parallel to line “p”, and asked the slope of line “q”

Parallel lines:

Parallel lines are two or even more lines that lie on the same plane but never intersect. They are equal in distance and have the same slope.

The slope of parallel lines are equal so, the slope of line “p” is equal to the slope of line “q”

The slope of line “p”=slope of line “q”

Given that the slope of line “P”=[tex]\frac{7}{3}[/tex]

therefore, The slope of the line q is [tex]\frac{7}{3}[/tex]

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Answer: By having the arrow going to the left of the number line

Step-by-step explanation:

When subtracting, you always go to the left of the number line. Just like how you go to the right when adding. also having the line going from 5 to 1.

A alvin makes 3,200 and spends 701 each month leaving 2,499.

The average can be calculated by dividing the sum of observations by the number of observations.

Average = Sum of observations/the number of observations

It is Given that alvin has done research and found that he spends an average of $123 on his phone/internet/cable service, $213 on his electric bill, and $270 on his health insurance premium.

Subtract expenditures from earnings;

= 3200 - (178 + 203 + 320)

= 3200 - 701

= 2499

Thus, Grant will have $2,499 after paying these bills each month

Therefore, alvin makes 3,200 and spends 701 each month leaving 2,499.

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The accurately captures a system's gravitational potential energy:

ME = KE + GPE.

Gravitational potential energy is the energy that an object possesses or acquires as a result of a change in its position when it is in a gravitational field. In layman's terms, gravitational potential energy is energy that is tied to gravitational force or gravity.

The energy held in an object due to its height above the ground is known as gravitational potential energy. It is determined by the object's mass, the gravitational acceleration caused by the Earth, and the object's height. Kinetic energy is the energy that an object possesses as a result of its motion.

An object's mechanical energy is equal to the sum of its kinetic energy and potential energy. If ME is mechanical energy and KE is kinetic energy, then PE is its potential energy.

ME = PE + KE

KE = (1/2) mv^2

PE = ME - KE

PE = ME - 1/2(mv²)

PE = ME - 1/2(mv²)

PE = ME - KE

ME = KE + GPE

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Answer:

B

Step-by-step explanation:

ME equals the sum of KE and GPE

Answer:

yes

Step-by-step explanation:

28/4 = 7 teams

1 is left without a team

Answer:

a 5 8 3

Step-by-step explanation:

The multiplicative rate of a change of the function is 0.5

To solve this question, look at the y coordinates. To get from 10 to 5, and from 5 to 2.5, you divide them by 2. In other words, you multiply them by 0.5. So, the multiplicative rate will be 0 .5.

if we want to find the multiplication. The rate of change of a function, that just means we need to divide one item by the one that comes before it .

An exponential function is a nonlinear function that has the form of. y=abx,wherea≠0,b>0. An exponential function with a > 0 and b > 1, like the one above, represents an exponential growth and the graph of an exponential growth function rises from left to right,this is the multiplicative rate in exponential function.

You can also calculate exponential growth using the formula f(x) = a(1 + r)x, where:

The f(x) term represents the function.

The a variable stands for the beginning value of your data.

The r variable represents the growth rate.

The x variable is the time interval.

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The points t will also be in between line segment sv.

A line section that can connect two places is referred to as a segment.

In other words, a line segment is just part of a big line that is straight and going unlimited in both directions.

The line is here! It extends endlessly in both directions and has no beginning or conclusion.

Given that,

Point k is in between of j and l

Since the length of the line segment sv is equal to jl and t is the midpoint of sv so jk will be equal to the st.

Hence "The points t will also be in between line segment sv".

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Answer:

3y+7y=4-6

10y= -2

y= -2÷10

y =1/2

Ans

Answer:

Step-by-step explanation:

the answer is simply 2

Answer:

the answer is =15

Step-by-step explanation:

12+18=30

30÷2

=15//

Answer:64

Step-by-step explanation: 12 x 2 = 24 and 20 x 2 = 40 and if you add it all up it equals 64 cubic yards please tell me if i'm wrong

30 miles will a person travel in order to spend an equal amount of money using either service.

Algebra is the part of mathematics that helps represent problems or situations in the form of mathematical expressions.

Given:

Better taxi service charges $3.00 for the first mile plus $0.20 for each additional mile.

Best taxi service charges $6.00 for the first two miles plus $0.10 for each additional mile.

So, if equal amount of money spends on both services

3+0.2x = 3(2)+0.1x

3 +0.2x = 6 +0.1x

0.2x - 0.1x = 6-3

0.1x = 3

x = 30 miles

Hence, 30 miles will a person travel in order to spend an equal amount of money using either service.

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Answer:

Step-by-step explanation:

12 = 12 + v - (8/2)

12 = 12 + v - 4

12 - 12 = v - 4

v = 4

The 55 miles can be written as 24.4m/s.

A Rate is a special kind of ratio that is used to show the comparison of two different units of measurments. a ratio compares the same units

A rate is a ratio because it compares two numbers yet a ratio cannot be a rate because it only compares the same unit.

one common type of rate is per unit time

1 mile has 1600 meters.

distance= 55×1600= 88000m

Time= 1 hour= 3600 second.

speed is euqal to distance upon time.

88000÷ 3600 = 24.4m/s

so the 55 miles can be written as 24.4m/s.

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Answer:

D, F and G

Step-by-step explanation:

A polynomial must have a negative exponent for the variable term. So we can eliminate A, B and C

Also no fractional exponents so eliminate E

F & G are positive exponents so acceptable

D has the exponent 0 so the term becomes (2x² + 5) + (6x⁰ + 7)
x⁰ = 1 so the expression becomes 2x² + 5 + 6 + 7 = 2x² + 18 which is a polynomial.

Given ~

[tex] \: [/tex]

[tex] \tt \: f(x) = −3x² − x – 15[/tex]

[tex] \: [/tex]

now , put x= -8 in the function ~

[tex] \: [/tex]

[tex] \tt \: f( - 8) = −3( - 8)² − ( - 8) – 15[/tex]

[tex] \: [/tex]

[tex] \tt f(-8) = −3(64) − (-8) – 15[/tex]

[tex] \: [/tex]

[tex]\tt f(-8) = −192 − (-8) – 15[/tex]

[tex] \: [/tex]

[tex] \tt f(-8) = −192 − (-8) – 15[/tex]

[tex] \: [/tex]

[tex]\tt f(-8) = −184 – 15 [/tex]

[tex] \: [/tex]

[tex] \underline{\boxed{\red {\tt f(-8) = - 199}}}{\green ✓} [/tex]

[tex] \: [/tex]

hope helps ~

The cost of the carpet will be $983.33

From the question, we are to calculate how much the carpet will cost

From the given information,

The carpet has a length of 20 feet

and a width of 15 feet

First, we will covert the dimension to yard

NOTE: 1 foot = 1/3 yards

Thus,

20 feet = 20/3 yards

and

15 feet = 15/5 yards = 5 yards

Now, we will calculate the area of the carpet

Using the formula,

Area = Length × Width

Area of the carpet = 20/3 × 5 square yard

Area of the carpet = 33.33 square yard

Now, we have that

The carpet costs $29.50 per square yard

∴ The cost of the carpet = 20/3 × 5 × $29.50

The cost of the carpet = $ 983.33

Hence, the cost of the carpet will be $983.33

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Answer:

11

Step-by-step explanation:

total angle of a polygon formula:

180 * (n-2)     n is no. of sides

180 * (n - 2) = 1620

1620/180 = n-2

9 = n - 2

9 + 2 = n

n = 11

The distance between the point A and point B is 9.5 units

The formula for calculating the distance between two points is expressed according to the formula shown below;

AB = √(x₂-x₁)²+(y₂-y₁)²

Using the given coordinates points A(5, -3) and B (-4, -6)

Substitute to have:

AB = √(5-(-4))²+(-3-(-6))²

AB = √(5+4)²+(-3+6))²

AB = √81+9

AB =  √90

AB = 9.5 units

Hence the distance between the point A and point B is 9.5 units

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Answer:

6j^2 - 2j = 9

j^2 -(2/6)j = 9/6

j^2 - (2/6)j + 1/36 = 9/6 + 1 /36

(j - 1/6)^2 = 55/36

j - 1/6 = √55/36

j = (√55/36) + 1/6

j = 1.40

Step-by-step explanation:

step 1 transpose 9 and it becomes positive.

step two divide everything by 6 so that j^2 has a coefficient of 1.

step 3 make a perfect square.

Then it's just simple calculations to get the answer

Greetings from Brasil...

We know that

V = L³  ⇒  L = ∛V

and

dV/dt = 3cm³/s   (volume rate as a function of time)

Let

dL/dV = L' = 1/(3∛V²)    

We need dL/dt (side rate as a function of time), so

(dV/dt) . (dL/dV) = dL/dt

then

dL/dt = 3 . [1/(3∛V²)]

∫dF=F(x,y)=12ax2+bxy+12ℓy2+c=0 is the exact ode.

Specifically, an exact equation is a differential equation that can be solved instantly without the aid of any specialized methods. If the result of a straightforward differentiation, a first-order differential equation (of one variable) is referred to as an exact differential or exact differential. The equation

P(x, y)dy/dx + Q(x, y) = 0,

or in the equivalent alternate notation

P(x, y)dy + Q(x, y)dx = 0,

is exact if

∂P(x, y)/∂x =  ∂Q(x, y)/∂y

In this instance, a function R(x, y) will exist whose partial x-derivative is Q and partial y-derivative is P, and whose equation R(x, y) = c (where c is constant) will implicitly establish a function y that will satisfy the initial differential equation.

An exact ODE is one where the equation can be written as  dF=0  for some  F(x,y). Expanding using chain rule, this means an equation of the form

∂1Fdx+∂2Fdy=0

Now if the second partials of  F  exist and are continuous, they must be equal due to Clairaut. So, given an equation

Mdx+Ndy=0

if we have

∂2M=∂1N

then there is an  F  such that

M=∂1F, N=∂2F

and hence that equation is exact, and the solution is simply

∫dF=0

We have

M=ax+by⇒∂2M=b

N=kx+ℓy⇒∂1N=k

so to be exact, we must have that  b=k .

Then, integrating  M  and  N , we have

F(x,y)=∫Mdx=12ax2+bxy+g(y)

F(x,y)=∫Ndy=bxy+12ℓy2+h(x)

and comparing these two, we can see that

∫dF=F(x,y)=12ax2+bxy+12ℓy2+c=0

is a solution to the equation for any  a,b,c,ℓ . You can solve for  y  by quadratic methods.

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Answer:

x^32

Step-by-step explanation:

Multiply the exponents in (x4)8.

Answer: Slope: 3

Step-by-step explanation:

Slope formula: m=(y2-y1)/(x2-x1)

m=(4-(-2))/(3-1)

m=(4+2)/2

m=6/2

m=3

Answer: -sinx

the derivative of f(x)f(x) with respect to x is the function f′(x)f′(x) and is defined as,

f’(x) = lim h tends to 0 [ f(x + h) – f(x) / h ]

A function f(x)f(x) is called differentiable at x=ax=a if f′(a)f′(a) exists and f(x)f(x) is called differentiable on an interval if the derivative exists for each point in that interval.

y = cos(x) + a^3

differentiating both sides with respect to x

dy / dx = d/dx (cosx)  +  d/dx (a^3)

by basic differentiation we know that

d/dx of cosx  = -sinx

and differentiation of a constant is 0

therefore,

dy / dx = -sinx + 0

dy / dx = -sinx

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