Find the volume of the pyramid.

Answer:

Maybe how many people are in the park

For given situation, (e - l)(4) means, there are 92 people in the amusement park 4 hours after the gates open.

"It is an expression that defines a relationship between one variable and another variable."

For given example,

the rate at which people enter amusement park is modeled by the function

[tex]e(x) = 0.03x^3 + 2[/tex]

where the rate is measured in hundreds of people per hour since the gates opened.

The rate at which people leave the amusement park is modeled by the function

[tex]l(x) = 0.5x + 1[/tex]

where the rate is measured in hundreds of people per hour since the gates opened.

First we find the subtraction of functions [tex](e-l)(x)[/tex].

[tex]\Rightarrow (e-l)(x)=e(x)-l(x)\\\\\Rightarrow (e-l)(x)=0.03x^3 + 2-(0.5x + 1)\\\\\Rightarrow (e-l)(x)=0.03x^3+2-0.5x-1\\\\\Rightarrow (e-l)(x)=0.03x^3-0.5x+1[/tex]

For x = 4,

[tex]\Rightarrow (e-l)(4)=0.03(4)^3-0.5(4)+1\\\\\Rightarrow \bold{(e-l)(4)=0.92}[/tex]

As, the rate is measured in hundreds of people per hour

So, (e - l)(4) means, there are 92 people in the amusement park 4 hours after the gates open.

Lean more about function here:

https://brainly.com/question/13461298

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Answer:

4

Step-by-step explanation:

I think I'm not that sure

Answer:

h = 0

Step-by-step explanation:

Ok, I got you.

To begin, everyone knows that y = mx + b is the equation for any slope-intercept form problem.

y = the y - value of a point

m = the slope

x = the x - value of a point

b = the y - intercept (or where the line starts)

So, you are given the slope, and you're given the y - value. But, you don't have the x - value in the second point.

That mean's you're going to have to use the first point, because you're given both the x and y values, to find the y - intercept.

Simply, plug in the y and x values where they belong.

2 = 6 (-1) + b

(Remember the 6 is the slope)

Now, solve for b.

2 = -6 + b

8 = b

Now, you know the y - intercept.

So, you can find the value of h in the second point. Since you don't know the x - value, plug in what you do know and solve for y.

So...

8 = 6 (x) + 8

(Remember 6 is the slope and 8 is the y - intercept)

Now, solve for x.

8 = 6x + 8

0 = 6x

0 = x

The value of h is 0.

I hope this helps :)

Answer:

say yolo and go with C

Step-by-step explanation:

Answer:

If Regina wants a mean of 90, she needs to sell 94 books on the 5th day.

I attached the filled out table.

We can immediately fill out the girl/winter slot and boy/summer spot.

Knowing that there are 17 total summer lovers and 7 boy/summer, we know 10 girls love summer.

Twice as many girls picked summer than spring, so 10/2 is 5 girls picking spring.

The last clue reads weird, but says that if you pick a spring lover, there is an 18.75% chance of it being a boy, so x/(x+5)=0.1875 x=1.

38% of interviewed students preferred summer, so: 17/x = 0.38 Total students= 45

Now the annoying part:

We know that for every 8 guys, there are 11 girls.

So if we fiddle around with scaling that ratio to find the combination the adds up to 45, we get a scale of 2.35.

2.35*8=19 and 2.35*11=26

So the total number of girls is 26, meaning the number of girl/autumn is 26-5-4-10=7

Three more boys chose autumn than the girls, so 10 boy/autumn.

Total boys is 19, 1 spring, 7 summer, and 10 autumn leaves 1 to pick winter.

Good lord that took me too long to do.

The area of rectangle.

Area of rectangle = Length × Breadth

[tex]\sf=2\dfrac{5}{6}\times4\dfrac{4}{7}[/tex]

[tex]\sf=\dfrac{17}{6}\times\dfrac{25}{7}[/tex]

[tex]\sf=\dfrac{17\times25}{6\times7}[/tex]

[tex]\sf=\dfrac{425}{42}[/tex]

Answer:

Median = 6.1875

Mean = 6.375

Step-by-step explanation:

Given the data:

8 1/2,6 5/8,3 1/8,5 3/4,6 5/8,5 1/4,10 5/8,4 1/2

Arranging in ascending order :

3 1/8, 4 1/2, 5 1/4, 5 3/4, 6 5/8, 6 5/8, 8 1/2, 10 5/8

Median = 1/2(n + 1)th term

n = 8

1/2 (9) th term

= 4.5th term

(5 3/4 + 6 5/8) / 2

= 6.1875

Mean = Σx / n

Mean = 51 / 8

Mean = 6.375

Answer:

Option B

Step-by-step explanation:

Average rate of change of a function between x = a and x = b will be,

Average rate of change = [tex]\frac{f(b)-f(a)}{b-a}[/tex]

We have to calculate average rate of change of the given quadratic function between x = 0 and x = 2.

From the given graph,

f(2) = 6

f(0) = 10

Therefore, average rate of change = [tex]\frac{f(2)-f(0)}{2-0}[/tex]

                                                          = [tex]\frac{10-6}{2-0}[/tex]

                                                          = 2

Option B will be the answer.

Answer:

x=9

Step-by-step explanation:

I hope this helps you

16x+4=110+3x+11

13x=117

x=9

Answer:

x = 3

y = 0

Step-by-step explanation:

The method of substitution is when one solves an equation for one of the variables, and then substitutes the expression into the other equation. After doing so, one will solve the other equation for the remaining variable and then backsolve for the first variable.

4x + 2y = 12

x = y + 3

The second equation is already sovled for parameter (x), subttiute this into the other equation,

4(y + 3) + 2y = 12

Distribute,

4y + 12 + 2y = 12

Simplify,

6y + 12 = 12

Inverse operations,

6y + 12 = 12

-12

6y = 0

/6

y = 0

Backsolve for (x), substitute the value of (y) into the equation for (x) and solve,

x = y + 3

x = 0 + 3

x = 3

Answer: look at the picture, sorry I can’t solve x = y + 3 for x.

Step-by-step explanation: Hope this help :D

Answer:

X INTERCEPT = -0.5

Step-by-step explanation:

To find the X intercept you simply replace the Y with a zero.

this would make it 0=4x+2

now you solve it as usual.

0=4x+2

-2=4x

-2/4=4x/4

-0.5=x

x=-0.5

Answer:

-1/2

Step-by-step explanation:

set y equal to zero and solve for 'x'

0 = 4x + 2

-2 = 4x

-2/4 = x

x = -1/2

Answer:

46,746 mm²

Step-by-step explanation:

½×(210+84)×318

= 46,746 mm²

Answer:46 inches

Step-by-step explanation:

Answer:

sorry i connot answer your question

Step-by-step explanation:

sorry

Answer:

33 Pieces total

Step-by-step explanation:

Answer: 168 sq. in.

Step-by-step explanation: the shape is a cubiod the volume is lbh=3*7*8=168

Answer:

35 ft^2

Step-by-step explanation:

Area of the first rectangle

A = 8 x 2 = 16 ft^2

area of the second rectangle

A = 5 x 2 = 10 ft^2

area of the square

A = 3^2 = 9 ft^2

total area

A = 16 + 10 + 9 = 35 ft^2

Answer:

46

Step-by-step explanation:

Answer:

[2,3,4]

Step-by-step explanation:

[tex]2(2) - 1 = 4[/tex]

[tex]2(3) - 1 = 5[/tex]

[tex]2(4) - 1 = 7[/tex]

all these are <10

Answer:

just make a mark in the center i think thats where the it should be

Step-by-step explanation:

the question is asking to mark the midpoint of line AB which technically means the area where the line is bisected or in other words cut in two equal parts so just mark where line AB is cut in half

Answer:

351cm³

step by step explanation:

Volume of the prism:

=[1/2×(a+b)×h]×l

=[1/2×(5+8)×6]×9

=(1/2×13×6)×9

=(6.5×6)×9

=39×9

=351cm³

Answer:

Solution given:

base=diameter [d]=30m

radius [r]=d/2=15m

height [H]=8m

slant height [l]=xm

we have

∆ ABC is a right angled triangle

base[b]=r

perpendicular [p]=H

hypotenuse [h]=x

by using Pythagoras law

h²=p²+b²

x²=H²+r²

x²=8²+15²

x=√289

x=17m

the slant height of the roof is 17m.

Answer:

x= -20/3 y= -8/3

Step-by-step explanation:

x= -20/3 y= -8/3

Answer:

408.46cm^2

Step-by-step explanation:

Given data

Height= 13cm

Diameter= 10cm

Radius= D/2= 10/2= 5cm

The area of the curved surface will be = 2πr × h = 2πrh

substitute

Area of the curved surface = 2πrh= 2*3.142*5*13

Area of the curved surface = 2πrh= 408.46cm^2

Hence the area of the curve surface is 408.46cm^2

Answer:

T

Step-by-step explanation:

Answer: linear

Step-by-step explanation:

as you can see the equation are smetrical and vertically placed on the equator outline in math terminology and the line of out border matches with the z in parrellelement and equation. with that being said it is linear.

Answer:

Step-by-step explanation:

The circles are written in standard form. The standard form squares the radius on the right hand side.

Circle A

radius = sqrt(9)

radius = 3

Circle B

radius = sqrt(8)

radius = sqrt(2 * 2 * 2)

radius = 2 sqrt(2)

Answer:

yes

Step-by-step explanation:

Using the converse of Pythagoras' identity.

If the square of the longest side is equal to the sum of the squares on the other 2 sides then the triangle is right.

longest side = 78 and 78² = 6084

72² + 30² = 5184 + 900 = 6084

Then the triangle is right

Answer:

[tex]0.625kg[/tex]

Step-by-step explanation:

we are given half-life of PO-210 and the initial mass

we want to figure out the remaining mass after 420 days

in order to solve so we can consider the half-life formula given by

[tex] \displaystyle f(t) = a {0.5}^{t/T} [/tex]

where:

since it halves every 140 days our T is 140 and t is 420. as the initial mass of the sample is 5 our a is 5

thus substitute:

[tex]\displaystyle f(420)=5\cdot{0.5}^{420/140}[/tex]

reduce fraction:

[tex]\displaystyle f(420)=5\cdot{0.5}^{3}[/tex]

By using calculator we acquire:

[tex]\displaystyle f(420)=0.625[/tex]

hence, the remaining sample after 420 days is 0.625 kg