Juan is arranging three flavors of ice cream in his cooler: chocolate, cookie dough, and mint. If chosen at random, what is the probability that Juan will place mint in the middle?

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[tex]f(x) = x^3 -6x^2 -11x +k \\\\\text{If (x +3) is a factor of f(x), then,}~ f(-3) = 0\\\\~~~~~~~f(-3) = 0\\\\\implies(-3)^3-6(-3)^2 -11(-3) +k = 0\\ \\\implies -27-54+33 +k=0\\\\\implies -48+k = 0\\\\\implies k = 48[/tex]

La expresión matemática que representa la frase está dada por:

4x - 6.

Vamos a resolverlo por partes:

Por lo tanto, la expresión es dada por:

4x - 6.

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Answer:

(PQ) = (TU)              (UV) = (QR)            m∠T= m∠P 

m∠R= m∠V            (TV) = (PR)

m∠Q= m∠U           m∠U= m∠Q

Step-by-step explanation:

Answer:

xy represents the diameter

Answer:

∠ACB

Step-by-step explanation:

we have three options for angles in triangle ABC:

- ∠CAB

- ∠ABC

- ∠ACB

∠ACB is the only angle out of the three given that doesn't directly touch side AB, so this must be our answer

Answer:

Option C. 12√3

Step-by-step explanation:

Lateral area of the solid figure will be = 3×(one lateral side )

Area of a lateral side of the given triangle = (1/2) × (height) × (Base)

Height of an isosceles triangle with a side 4 will be = √(4² - 2²) = √(16-4)= √12 = 2√3

Now area of one lateral side = (1/2)×(2√3)×(4) = 4√3

Therefore lateral area of the solid figure = 3×(4√3) = 12√3

Step-by-step explanation:

Step 1:  Convert words into an expression

Four times the quotient of 3 divide by 4

We know that we are going to be multiplying 4 by something because in the statement we have four times.  Reading further we also know that we are going to be dividing 4 from 3 which means that we will have 3/4.  Finally, we see that we multiply our 3/4 by 4 which gives us our final solution.

[tex]4 * (3 / 4)[/tex]

If we want to solve it the 4's would just cancel and we would be left with 3.

3

Explanation:

You would start by dividing 3 by 4. Then multiply [tex]\frac{3}{4}[/tex] and 4. The 4s would cancel out leaving you with 3.

[tex]\frac{3}{4}[/tex] × [tex]4=3[/tex]

Answer:

Step-by-step explanation:

Hello

Please what’s the explanation to get the answer (2+2) ² (2+3)³

we use PEMDAS

Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

(2 + 2)² + (2 + 3)³ =

4² + 5³ =

16 + 125 =

141

Answer:

I = PRT / 100

R = 100I/PT

R = 12000/6000

R = 2%

Answer:

C. 23

Step-by-step explanation:

We substitue 4 for x then rewrite the expression as is

[tex]5(4)+3[/tex]

Then we solve     [tex]5*4=20\\[/tex]                    [tex]20+3=23[/tex]

Answer:  B. The triangle in question is a right triangle.

Reason:

The sides are

Plug them into the equation below and simplify both sides

[tex]a^2+b^2 = c^2\\\\3^2+4^2 = 5^2\\\\9+16 = 25\\\\25 = 25\\\\[/tex]

Therefore, we have a right triangle. For more information, check out the converse of the pythagorean theorem.

Answer:

h(-3) = 4.2 or 21/5

h(1) = 0.2 or 1/5

Step-by-step explanation:

Plug in -3 for t.

-(-3) + 6/5 = 4.2 or 21/5

Plug in 1 for t.

-(1) + 6/5 = 0.2 or 1/5

Answer:

7 hours 50 minutes and

Step-by-step explanation:

7.833 hours 470 minutes 28,200 seconds

Answer: Its A

Step-by-step explanation:

Money Matters is the best value for money for £750 they are giving 806.25 euros.

Customers can exchange one currency for another at a currency exchange, which is a licensed business.

The three agents are giving the money at different rates:-

Travel Exchange   =  750  x   1.1065  =   798.75 Euros

Phoenix Financial =   1.1050  x  750  =   787.5 Euros

Money Matters      =  1.1075  x   750  =    806.25 Euros

We can see that Money Matters is giving the best value for money.

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Answer:

V≈523.6

Step-by-step explanation:

Volume is V=4/3*pi*r^3 and radius is half of diameter

Answer:

523.67km^3

Step-by-step explanation:

[tex]volume \: of \: a \: sphere = \frac{4}{3} \: \pi \: r {}^{3} \\ radiu \: r = \frac{10}{2} = 5km \\ volume = \frac{4}{3} \times 3.142 \times 5 {}^{3} \\ volume = \frac{1571}{3} = 523.67km {}^{3} [/tex]

We can determine whether or not a point falls on the graph of a function by plugging its coordinates into the function equation.

If the right side is equal to the left side, the the equation is true, and the point does fall on the graph.

We're given:

[tex]f(x)=2^x-3[/tex]

⇒ Plug in the coordinates:

[tex]1=2^3-3\\1=8-3\\1\neq5[/tex]

(3,1) is not on the graph.

[tex]f(x)=2^x-3[/tex]

⇒ Plug in the coordinates:

[tex]1=2^(0)-3\\1=1-3\\1\neq-2[/tex]

(0,1) is not on the graph.

[tex]f(x)=2^x-3[/tex]

⇒ Plug in the coordinates:

[tex]3=2^(1)-3\\3=2-3\\3\neq-1[/tex]

(1,3) is not on the graph.

[tex]f(x)=2^x-3[/tex]

⇒ Plug in the coordinates:

[tex]8=2^(6)-3\\8=64-3\\8\neq61[/tex]

(6,8) is not on the graph.

None of the points are on the graph of the given function.

Answer:

20π cm or approximately 62.8 cm

Step-by-step explanation:

» Concepts

The circumference of a circle is the distance, or perimeter, around a circle in a certain unit such as centimeters. The formula to find the circumference, as stated, it 2πr, where r = radius.

» Application

In this case, we're asked to find the circumference of the circle using the formula 2πr. We're also given the radius as 10 cm.

» Solving

or

Answer:

c=2nr

but r=10 and n=3,14

c=2(3,14)(10)

c=62,8

Answer: 20

Step-by-step explanation: imagine the books in 10's cuz 30/3=10 and 2 of those tens out of the group of three are nonfiction, so that makes 20 out of 30

Answer:

-6x⁷ + 12x − 3

Step-by-step explanation:

Method 1 :

[tex]-3x^0\ (2x^7-4x+1)[/tex]

[tex]= (-3x^0)\times 2x^7-(-3x^0)\times4x+(-3x^0)\times1[/tex]

[tex]= (-3x^0)\times 2x^7+(3x^0)\times4x+(-3x^0)\times1[/tex]

[tex]=-6x^{0+7}+12x^{0+1}-3x^0[/tex]

[tex]=-6x^{7}+12x^{1}-3x^0[/tex]

[tex]=-6x^{7}+12x-3[/tex]

Method 2 :

Note : x⁰ = 1

[tex]-3x^0\ (2x^7-4x+1)[/tex]

[tex]=-3\ (2x^7-4x+1)[/tex]

[tex]=-3\times2x^7-(-3)\times4x+(-3)\times1[/tex]

[tex]=-6x^7+12x-3[/tex]

The coin is an illustration of probability, and the probability of getting two heads and a tail is 3/8

The sample space of tossing a coin three times is:

S = {HHH,HHT,HTH,HTT,THH,THT,TTH,TTT}

On the sample space, we have:

Two heads and a tail = 3

Sample size = 8

The required probability is then calculated using:

P = 3/8

Hence, the probability of getting two heads and a tail is 3/8

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Answer:

The formula for volume of a cone is area of a circle times height, divided by 3.

Therefore volume is pi times radius squared times height, divided by 3.

V = (3.14)(14)^2 (14)/3

V = (3.14) (196)(14)/3

V = (3.14) (2744)/3

V = 8616.16/3

V = 2872.05333

to the nearest hundredth is 2872.05 cubic yards.

Step-by-step explanation:

The income under variable costing for 2023 for Concord Corporation is $73600.

The formula to calculate the net income will be:

= Total sales - Total variable cost - Total fixed cost

= (7600 × 24) - (4400 + 50 × 24) - 2000

= 182400 - 106800 - 2000

= 73600

Therefore, the income under variable costing for 2023 for Concord Corporation is $73600.

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Answer:

C

Step-by-step explanation:

pythagorean theorem: a²+b² = c²

area of square = length²

c = side opposite right angle = length of square Z

thus, area of square Z = c²

area of square X = a² (or b², it doesn't matter)

area of square Y = b² (or a²)

a² + b² = c²

region x + region y = region z

In the circle the measure of angle QPR in radians is π/4.

What is a circle?

A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle. Additionally, every angle has rotational symmetry around the centre.

The length of the arc QR is 4π, which is 1/2 of the circumference of the circle P.

Therefore, the circumference of the circle is -

2πr = 2π(8) = 16π

The angle subtended by the arc QR at the center of the circle is therefore -

θ = arc length / radius

θ = (4π) / 8

θ = π/2

Now, consider the triangle QPR.

The angle QPR at the center of the circle is equal to twice the angle subtended by the arc QR at any point on the circumference of the circle.

Therefore -

2∠QPR = θ = π/2

Solving for ∠QPR, we get -

∠QPR = (π/2) / 2

∠QPR = π/4

Therefore, the measure QPR is π/4.

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Answer:

huh

Step-by-step explanation:

Answer:

r = 4/5

Step-by-step explanation:

Formula

Sum of an infinite geometric series = a / (1 - r)

Givens

Sum = 5*a

a = a

r = ?

Solution

5a = a/(1 - r)                   Divide both sides by a

5a/a = a / (a * (1 - r)       The a's on the right cancel

5 = 1 / (1 - r)                    Multiply both sides by 1 - r

5*(1 - r) = 1*(1 - r)/(1 - r)   The 1 - r s on the right cancel

5*(1 - r) = 1                     Remove the brackets.

5 - 5r = 1                        Subtract 5 from both sides

5-5 - 5r = 1 - 5               Combine

-5r = - 4                          Divide by - 5

r = 4/5  

Answer:

from (-4,1) the line will go up to (-2,2) then (0,3)

Step-by-step explanation:

the slope 1/2 dictates that the line will go up by 1 unit for every 2 units, then we just plot said line from the point given (-4,1) where we go up y by 1 and we go left on x by 2

image could not be provided at this time, tho the line will have a slope that is between horizontal and increasing (to the left) at roughly 30 degrees ish

Answer:

42min would have elapsed

Step-by-step explanation:

2:37-2:40 (3 min)

2:40-3:00 (20 min)

3:00-3:19 (19 min)