A cone with a radius 3 feet is shown. Its approximate volume is 140 cubic feet.

Answer:

400

Step-by-step explanation:

425 is rounded to 430 because 5 rounds up the number. 430 rounded to the nearest hundredth is 400 because 3 is below five.

Answer:

nearest tenth: 430

nearest hundredth: 400

Step-by-step explanation:

5 and above rounds up hense 430 and below 50 rounds down hense 400

Answer:

the scale factor and the ratio of their perimeters is 8/9

Step-by-step explanation:

k^2=area 1/area 2

k^2=64/81

=square root if k^2=square root of 64/81

=k=8/9

Answer:

90

Step-by-step explanation:

60 kmhr for an hour and a half

i hour 60 km

half hour 30 km

60 + 30 =90

Answer:

[tex]\sf \boxed{\sf D) \ \sf -\frac{5}{3} }[/tex]

Explanation:

[tex]\rightarrow \sf 3x - 5y = -10[/tex]

[tex]\rightarrow \sf - 5y = -10-3x[/tex]

[tex]\rightarrow \sf y = \dfrac{-10-3x}{-5}[/tex]

[tex]\rightarrow \sf y= \dfrac{3}{5} x+2[/tex]

Comparing it with slope intercept formula: y = mx + b

Identify the slope for this function:

[tex]\cdot \ \sf slope \ (m) : \dfrac{3}{5}[/tex]

Then perpendicular slope shall be negatively inverse:

[tex]\sf perpendicular \ slope = -(m)^{-1} \quad = \quad -(\dfrac{3}{5} ) ^{-1} \quad = \quad -\dfrac{5}{3}[/tex]

Answer:

D

Step-by-step explanation: i got it right

why this thing says im rude

Answer:

Step-by-step explanation:

i hope these help

Answer:

as x→+∞, f(x)→+∞   as x→-∞,f(x)→-∞

Step-by-step explanation:

The information about the how to open a comic book store should be included in the b. organizational plan.

An organizational plan serves as a way that can be used to plan for the future events to achieve the desire goals of the institution.

Therefore, option B is correct, because with the organizational plan, Korey can note all information required for the business and how the business will grow.

Learn more about organizational plan at;

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Answer:

16 and 24

Step-by-step explanation:

The largest factor for both numbers have in common is 8, so GCF(16,24) = 8

Answer:

x=1

Step-by-step explanation:Let's solve your equation step-by-step.8x−6=10x−8Step 1: Subtract 10x from both sides.8x−6−10x=10x−8−10x−2x−6=−8Step 2: Add 6 to both sides.−2x−6+6=−8+6−2x=−2Step 3: Divide both sides by -2.−2x−2=−2−2 x=1

Answer:

1/18

Step-by-step explanation:

I have provided a tree diagram showing all the possibilities

Answer:

[tex]P=\frac{2}{9}=0.222\\[/tex] for green ball

[tex]P=\frac{2}{8} =0.25[/tex] for red ball

Step-by-step explanation:

For green ball probability will be,

[tex]P=\frac{2}{9}=0.222\\[/tex]

while for the red ball, it will be,

[tex]P=\frac{2}{8} =0.25[/tex]

Answer:

the answer is 15-8

I hope this helps you

Answer:

-15+8

Step-by-step explanation:

The probability that exactly 6 workers take the bus to work is 0.001

The given parameters are:

The probability that exactly 6 workers take the bus to work is calculated using the following binomial expression

[tex]P(x) = ^nC_x * p^x * (1 - p)^{n - x{[/tex]

So, we have:

[tex]P(6) = ^{10}C_6 * (15\%)^6 * (1 - 15\%)^4[/tex]

Evaluate the expression

P(6) = 0.001

Hence, the probability that exactly 6 workers take the bus to work is 0.001

Read more about probability at:

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Answer:

see the attachment!

i hope this can help you!

Answer: It would be B 10 inches per minute

Step-by-step explanation: Because if it is (Speed=distance/time) that would mean you would divide 50 into 5 which would be 10 50/5 5x10=50

Area of square = [tex]s^2[/tex] where, [tex]s[/tex] is the side length of the square.

[tex]81=s^2[/tex]

[tex]9=s[/tex]

s must be positive since it is a side length, so the negative root of 81 is rejected.

Perimeter= [tex]4s[/tex]

Perimeter= [tex]4(9)=36inches[/tex]

Step-by-step explanation:

In order to find the perimeter we need to find the length first ...

...Here, the area is already given ...

Area = 81 inches square

length = ?

Now....

( The formula of area is l × l )

[tex]area = {l}^{2} [/tex]

[tex]81 = {l}^{2} [/tex]

Now we should find square root of 81...

[tex]l = \sqrt{81} [/tex]

[tex]l \: = 9[/tex]

Now we find length so it's easy for us to find perimeter...

The formula of perimeter of square is 4l ..

= 4l

= 4 × 9

= 36 inches

hence the answer is 36 inches....

Answer:

∠APB = 106°

Step-by-step explanation:

Method 1: Focus on Triangle APB

Every angle of equilateral triangle ABC is 60°

∠BAP = 60°

∠ABP = 60° - 46° = 14°

Total degrees in one triangle is 180°

∠APB = 180° - 60° - 14° = 106°

Method 2: Exterior Angle Theorm

∠APB = ∠PBC + ∠PCB

∠APB = 46° + 60°

∠APB = 106°

Answer:

Step-by-step explanation:

Answer:

the answer would b B solid

Step-by-step explanation:

because the figure appears to have depth as you look at it so it is solid.

Answer:

[tex]2\sqrt{61\pi }[/tex]

Step-by-step explanation:

Let's find c by using the Pythagorean Theorem: [tex]10^2 + 12^2 = c^2[/tex] so [tex]c = \sqrt{10^2 + 12^2}[/tex]. I'm going to leave c like this so it is easier to multiply by [tex]\sqrt{\pi }[/tex]. [tex]c\sqrt{\pi } = \sqrt{10^2 + 12^2}\sqrt{\pi } = 2\sqrt{61\pi }.[/tex]

Hope this helped! :)

Answer:

Correct option is A)

If the solutions to the equations are 8 and −4, the factored form of the equation is : (x−8)(x+4)=0

Use FOIL to find the quadratic form: x

2

−4x−32=0. Therefore, the correct equation is (A)

Step-by-step explanation:

What do you think?

Don't forget to follow narin ty

Answer:

22.8 m

Step-by-step explanation:

the 2 situations are similar triangles

the ratio of corresponding sides are in proportion

let h be the height of the tree , then

[tex]\frac{h}{3.8}[/tex] = [tex]\frac{7.8}{1.3}[/tex] ( cross- multiply )

1.3h = 29.64 ( divide both sides by 1.3 )

h = 22.8 m

Answer:

Step-by-step explanation:

9x-2=4x+9

1. 9x-4x-2=4x-4x+9 always isolate a variable which means move 4x to the other side to get 9 by its self.

2. 5x-2+2=9+2

3. 5x=11

4. 5x/5=11/5 get x by itself.

5. x=2.2

check work.

9(2.2)-2=4(2.2)+9

17.8=17.8

Answer:

y = - 3x² + 6x + 9

Step-by-step explanation:

given the zeros of a parabola x = a , x = b , then the factors are

(x - a) , (x - b)

here the zeros are x = - 1 and x = 3 , then

factors are (x + 1) and (x - 3)

the equation of the parabola is then the product of the factors, that is

y = a(x + 1)(x - 3) ← a is a multiplier

to find a substitute the point (0, 9 ) into the equation

9 = a(0 + 1)(0 - 3) = a(1)(- 3) = - 3a ( divide both sides by - 3 )

- 3 = a

then equation is

y = - 3(x + 1)(x - 3) ← expand factors using FOIL

  = - 3(x² - 2x - 3) ← distribute parenthesis by - 3

y = - 3x² + 6x + 9

Answer:

The answer is 15

Step-by-step explanation:

You just have to multiply angle BC times angle AC to have the answer because angle AB is verticle to angle BD.

Apple be A and blueberries be B

So

As per Venn diagram

#1

P(A)=12/24

P(B)=7/24

Add

#2.

n(AUB)

E=8+16=24

P(AUB)=16/24=2/3

Answer:

[tex]\sf a) \quad P(contains\:apple)+P(contains\:blueberry)=\dfrac{5}{6}[/tex]

[tex]\sf b) \quad P(contains\:apple\:or\:blueberry)=\dfrac{11}{15}[/tex]

c)    Not mutually exclusive events

Step-by-step explanation:

From inspection of the Venn diagram:

[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]

Let A = contains apple

Let B = contains blueberry

[tex]\implies\sf P(A)=\dfrac{15}{30}=\dfrac{1}{2}[/tex]

[tex]\implies\sf P(B)=\dfrac{10}{30}=\dfrac{1}{3}[/tex]

Part (a)

[tex]\begin{aligned} \implies \sf P(A)+P(B) & =\sf \dfrac{1}{2}+\dfrac{1}{3}\\\\ & = \sf \dfrac{3}{6}+\dfrac{2}{6}\\\\ & = \sf \dfrac{5}{6}\end{aligned}[/tex]

Part (b)

[tex]\textsf{Addition Law}: \quad\sf P(A\:or\: B) = P(A)+P(B)-P(A\:and\:B)[/tex]

Given:

[tex]\sf P(A)+P(B)=\dfrac{5}{6} \quad \textsf{(from part a)}[/tex]

[tex]\sf P(A\:and\:B)=\dfrac{3}{30}\quad \textsf{(where the circles overlap)}[/tex]

[tex]\begin{aligned}\implies \sf \sf P(A\:or\: B) &= \sf P(A)+P(B)-P(A\:and\:B)\\\\& =\sf \dfrac{5}{6}-\dfrac{3}{30}\\\\ & =\sf \dfrac{25}{30}-\dfrac{3}{30}\\\\ & =\sf \dfrac{22}{30}\\\\ & = \sf \dfrac{11}{15}\end{aligned}[/tex]

Or, we can simply read P(contains apple or blueberry) from the Venn diagram.  

P(A or B) is the total of the numbers inside the circles divided by the total number of smoothies:

[tex]\sf P(A\:or\:B) = \dfrac{12+3+7}{30}=\dfrac{22}{30}=\dfrac{11}{15}[/tex]

Part (c)

For two events, A and B, where A and B are mutually exclusive:

[tex]\sf P(A \: or \: B)=P(A)+P(B)[/tex]

Given:

[tex]\sf P(A)+P(B)=\dfrac{5}{6} \quad \textsf{(from part a)}[/tex]

[tex]\sf P(A\:or\:B)=\dfrac{11}{15} \quad \textsf{(from part b)}[/tex]

[tex]\sf As\:\dfrac{11}{15}\neq \dfrac{5}{6} \implies P(A \: or \: B)\neq P(A)+P(B)[/tex]

Therefore, choosing a smoothie containing apple and choosing a smoothie containing blueberry are NOT mutually exclusive events.