How do you simplify the expression “3x (2/x + 5) +4”?

Answer:

Step-by-step explanation:

In this problem we have independent events, that is, the event "picking a girl" doesn't affect an "picking a boy", also, picking picking a girl doesn't affect the probability of the other subjects.

So, the probability when the first girl is being picked is:

[tex]P_{1}=\frac{7 \ girls}{9 \ students}[/tex]

Because among the total 9 students, there are 7 girls.

Now, after picking one girl, there remains 6 girls and 8 students to be picked. So, the probability of the second girl would be:

[tex]P_{2}=\frac{6 \ girls}{8 \ students}[/tex]

Then, the probability of the third girl:

[tex]P_{3}=\frac{5 \ girls}{7 \ students}[/tex]

The fourth girl probability:

[tex]P_{3}=\frac{4 \ girls}{6 \ students}[/tex]

Therefore, the probability of picking all 4 girls would be the product of each probability, because events are independent (we use product when they are independent):

[tex]P=\frac{7 \ girls}{9 \ students} \times \frac{6 \ girls}{8 \ students} \times \frac{5 \ girls}{7 \ students} \times \frac{4 \ girls}{6 \ students}\\P=\frac{5}{18}=0.28 \ (or \  28\%)[/tex]

Therefore, there's 28% probability that every student in the group is a girl.

The probability that everyone in the group is a girl is 0.2778

The distribution of the students is given as:

Boys = 2

Girls = 7

Total = 9

The selection of the 4 girls at random is:

So, the probability that all students are girls is:

P = 7/9 * 6/8 * 5/7 * 4/6

Evaluate

P = 0.2778

Hence, the probability that everyone in the group is a girl is 0.2778

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can you tell me what the points are because the graph is somewhat blurry

Answer:

if the scale is 1, then the slope is 1/3

Step-by-step explanation:

Answer:482.7972

Step-by-step explanation:

Answer:

Step-by-step explanation:

The graph is done using Desmos. Just by substitution x = 1 will force the graph to go to y = 0, but graphs are not always that good. This one gets 1.111

to get y = 0. I'd use 1 if you had to answer it and a computer will mark it.

i^2 = -1

Replace i^2 with -1 and simplify:

(5(-1) - 3) * (6i*2^6) =

(-5 - 3) * (6i * 64) =

-8 * 384i =

-3072i

Answer:

±1,±5,±1/2,±5/2,±1/4,±5/4

Step-by-step explanation:

Given polynomial

4x^3+8x^2-x+5

as a(n)= 4

divisors of 4 = ±1,±2,±4

as a(0)= 5

divisors of 5= ±1,±5

finding possible roots

Factors of constant term(1,5)/Factors of leading coefficient(1,2,4)

±1,±5

±1/2,±5/2

±1/4,±5/4 !

Answer:

B) [tex]f(x)=2(x-7)^2-3[/tex].

Step-by-step explanation:

The vertex form of the equation is given by [tex]f(x)=a(x-h)^2+k[/tex].

We plug in the vertex to obtain:

[tex]f(x)=a(x-7)^2-3[/tex].

Since the graph passes through (5,5) and (9,5), they must satisfy its equation.

[tex]5=a(9-7)^2-3[/tex].

[tex]5+3=4a[/tex].

[tex]8=4a[/tex]

Divide both sides by 4.

[tex]a=2[/tex]

Therefore the equation is:

[tex]f(x)=2(x-7)^2-3[/tex].

Answer:

Step-by-step explanation:

Use tangent.

[tex]tangent=\dfrac{oppositive}{adjacent}[/tex]

We have

[tex]oppositive=10\\adjacent=8[/tex]

Substitute:

[tex]\tan(z)=\dfrac{10}{8}\\\\\tan(z)=1.25[/tex]

look at the picture

[tex]z\approx51^o[/tex]

Answer:

x= 21/2 = 10.500  

Step-by-step explanation:

2.2      Solve  :    2x-21 = 0  

Add  21  to both sides of the equation :  

                     2x = 21

Divide both sides of the equation by 2:

                    x = 21/2 = 10.500

x = 21/2 = 10.500

The solution of the equation for the unknown value x is decimal number 10.5. Option C is correct.

The solution of an equation is the value of the variable of the equation, for which the equation is satisfied.

To solve an equation for its variable, isolate the variable on one side of the equation using the mathematical operations.

The equation of unknown value x is given as,

4x = 42

This equation has to be solved for x. For this isolate the x divide the equation with 4 both side.

(4x/4)=(42/4)

x=10.5

Hence, the solution of the equation for the unknown value x is decimal number 10.5. Option C is correct.

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Answer:

B

Step-by-step explanation:

We know 2.2 pounds = 1 kg, hence,

44 pounds / 2.2 = 20 kg (weight of child in kg)

Now, since 40 mg is administered per kg, the child would need 40 * 20 = 800 mg PER DAY

Since this is going to be taken per 4 dose, each dose would need to be 800/4 = 200 mg

Answer choice B is right.

Answer: [tex]A=100ft^2[/tex]

Step-by-step explanation:

You can use the following formula calculate the area of a rectangle:

[tex]A=w*h[/tex]

Where "w" is the width of the rectangle and "h" is the height of the rectangle.

In this case you know that this rectangle is 12.5 feet wide and  8 feet tall.  Therefore, you can substitute values into the formula to find its  area.

Then, you get that the area of this rectangle is the following:

[tex]A=(12.5ft)(8ft)\\\\A=100ft^2[/tex]

Answer:

"4" represents that there are 4 rabbit in the beginning.

Step-by-step explanation:

Given that the population of a species of rabbit triples every year. This

can be modeled by function [tex]f\left(x\right)=4\left(3\right)^x[/tex] and [tex]f(5) = 972[/tex].

Now we need to find about what does the 4 represent in the given function.

We know that exponential function is given by [tex]f\left(x\right)=a\left(b\right)^x[/tex]. Where "a" represents the initial amount.

we have a=4 in given function [tex]f\left(x\right)=4\left(3\right)^x[/tex].

So that means "4" represents that there are 4 rabbit in the beginning.

Answer

B

Step-by-step explanation:

5-2x<7

subtract 5 on both sides

-2x<2

divide by -2

x>-1

so its B

Answer:

1527 feet

Step-by-step explanation:

Answer:

12-6u

Step-by-step explanation:

To remove the parenthesis, we must multiply the number on the outside to each value within the parenthesis

This means that

[tex]6(2-u)\\\\6*2-6*u\\\\12-6u[/tex]

The distributive property is used to remove parentheses by multiplying each term within the parentheses by the number outside. Thus, the expression 6(2 - u) becomes 12 - 6u.

The distributive property is a mathematical principle that shows how to expand an expression involving brackets (or parentheses). To use the distributive property to remove the parentheses in the expression, you multiply the number outside the parentheses by each term inside the parentheses individually. Let's apply this to the expression you provided, 6(2 - u).

First, multiply 6 by 2. This results in 12. Next, multiply 6 by -u. This gives -6u. Therefore, the expression 6(2 - u) without parentheses, using the distributive property, is 12 - 6u.

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Answer:

162.24 ft

Step-by-step explanation:

So you first find the area of one side.

5.2 x 5.2 = 27.4

Then you times it by 6, because a cube has 6 sides.

27.4 x 6 = 162.24 ft

A steel cargo container is shaped like a cube measuring 5.2 ft on each edge. we will need 162.24 ft sq. steel to make this container.

A cube has all sides congruent, so all sides have the same area.

Supposing that the considered cube has a side length (also called edge length) of L units.

Then, its one side's area equals  L^2 sq. units (as each side is a square, so we used the formula for the area of a square).

Since there are 6 such sides in a closed cube, thus, its surface area evaluates to

[tex]S = L^2 + L^2 + ... + L^2 \text{\: (six times)} = 6L^2 \: \rm unit^2[/tex]

A steel cargo container is shaped like a cube measuring 5.2 ft on each edge.

So first we need to find the area of one side.

The area of a square = 5.2 x 5.2

                                   = 27.4

For 6 sides of cube

27.4 x 6 = 162.24 ft sq.

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Where you see an x in the expression replace it with -5

3(-5) - 9

Using the rules of PEMDAS simplify

-15 - 9

-24

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

slope = -1.5

Step-by-step explanation:

A set of three or more points are said to be collinear if they all lie on the same straight line.

We have been given the following collinear set of points;

P(0, 3), Q(2, 0), R(4, -3)

This implies that P, Q, and R lie on the same line.

The slope of a line is defined as; (change in y)/(change in x)

Using the points P and Q, the slope of the line is calculated as;

(0-3)/(2-0) = -3/2 = -1.5

Answer:

-3/2

Step-by-step explanation:

Answer:

$60

Step-by-step explanation:

I got this bc 12*30=360 and 360-300=60

Answer: 60 dollars

Step-by-step explanation: For every 5 dollars Tom loans he has to pay 1 dollar plus the amount he loaned. If 30 times 12 is 360 and the original cost is 300 then he payed 60 dollars for the finance charge.

The other factor of the quadratic expression 6x^2 – 7x + 2, once factored, is either (3x - 2) or (2x - 1), depending on which one you view as the 'other' in context.

The student's question asks for the other factor of the quadratic expression 6x2 – 7x + 2.

To find this, one must factor the quadratic expression into the form of (ax + b)(cx + d).

Here are the steps to do so:

So, the expression factors into (2x - 1)(3x - 2). If one of the factors of the original expression is (x - a), where 'a' is a root of the equation 6x2 – 7x + 2=0, the other factor would be either (2x - 1) or (3x - 2).

Answer: 3 1/4 as an improper fraction could be 13/4. Written as a fraction would be 3 1/4.

Answer:

c = 14

Step-by-step explanation:

For this triangle we have to

[tex]a=18.2\\B=62\°\\C=48\°[/tex]

We want to find the length of b

We know that the sum of the internal angles of a triangle is 180 °

then

[tex]A + 62 +48=180\\\\A=180-62-48\\\\A=70\°[/tex]

Now we use the sine theorem to find the length of c:

[tex]\frac{sin(A)}{a}=\frac{sin(B)}{b}=\frac{sin(C)}{c}[/tex]

Therefore:

[tex]\frac{sin(A)}{a}=\frac{sin(C)}{c}\\\\c=\frac{sin(C)}{\frac{sin(A)}{a}}\\\\c=a*\frac{sin(C)}{sin(A)}\\\\c=(18.2)\frac{sin(48)}{sin(70)}\\\\c=14[/tex]

Answer:

c= 14

Step-by-step explanation:

First, let's find the angle A, because it's easy and because we'll need it.

We know that the sum of the interior angles of a triangle is 180, and we have 2 angles... so we can easily find A:

A = 180 - 62 - 48 = 70 degrees

Now, we can use the law of Sines to find c:

[tex]\frac{c}{sin(C)} = \frac{a}{sin(A)}[/tex]

so...

[tex]c = \frac{a * sin(C)}{sin(A)} = \frac{18.2 * sin(48)}{sin(70)} = 14.39[/tex]

The precise answer is 14.39, but you are asked to round up to the closest whole number... so 14.

Answer:

continous

Step-by-step explanation:

Answer:

Continuous

Step-by-step explanation:

Since the problem has decimals for your t values it will most likely be continuous.

Answer:

20 units³

Step-by-step explanation:

Since all dimensions are being reduced by 1/3, that means that the total volume will decrease by 1/3 * 1/3 * 1/3 = 1/27 the size of its original.

That means that the new volume is 1/27 * 540 = 20 units³

[tex]

x^2+20=2x \\

x^2-2x+20=0 \\

x=\frac{2+\vee-\sqrt{-76}}{2}\Longrightarrow\boxed{x\notin\mathbb{R}}

[/tex]

Answer:

113.0 inches squared

Step-by-step explanation:

The area of a circle with radius r is given as;

[tex]Area=pi*r*r[/tex]

We plug in the radius given and solve for the area;

[tex]Area=3.14*6*6\\Area=113.04[/tex]

I believe the correct answer is D. (if it’s not D then A)

Make two equations representing the position of each animal, p and k, for the puppy and kitten respectively.

p=25t and k=180+20t  

The puppy will catch the kitten when p=k so we can say:

25t=180+20t  subtract 20t from both sides

5t=180  divide both sides by 5

t=36

So the puppy will catch the kitten after 36 seconds.

Answer:

36

Step-by-step explanation:

Answer:  1st, 3rd  and 5th answers are correct

Step-by-step explanation:

Answer:

A) The theoretical probability of spinning any one of the five colors is 20%.

C) The theoretical probability of spinning green is equal to the experimental probability of spinning green.

E) If Yuri spins the spinner 600 more times and records results, the experimental probability of spinning orange will get closer to the theoretical probability of spinning orange.

Step-by-step explanation:

Let's find the probability of each events.

Probability of a event = The number of favorable outcomes / The total number of possible outcomes.

Here the total number of possible outcomes = 10.

Probability of getting blue = 1/10 = 0.10

Probability of getting green = 2/10 = 1/5= 0.20 = 20%

Probability of getting red = 0/10 = 0

Probability of getting orange = 4/10 = 0.40

Probability of getting yellow = 3/10 = 0.30

The above are the experimental probability.

The theoretical probability of getting green = 1/5 = 0.20 = 20%

By looking at the results, the following statements are true.

A) The theoretical probability of spinning any one of the five colors is 20%.

C) The theoretical probability of spinning green is equal to the experimental probability of spinning green.

E) If Yuri spins the spinner 600 more times and records results, the experimental probability of spinning orange will get closer to the theoretical probability of spinning orange.